ACADEMIC COUNCIL BOOKLET IV

0

ACADEMIC COUNCIL

BOOKLET – IV (MASTER COPY)

Science

Theivanai Ammal College For Women – (Autonomous)

Villupuram. (Accredited by NAAC with ‗A‘ Grade & ISO 9001: 2008 Certified)

30th

June 2012

1

CONTENTS

Bio – Chemistry

I. B.Sc. Bio- Chemistry 1

II. M.Sc. Bio-Informatics 15

Chemistry

I. B.Sc. Chemistry 35

II. M.Sc. Chemistry 56

Mathematics

I. B.Sc. Mathematics 76

II. M.Sc. Mathematics 98

III. Statistics 124

Physics

I. B.Sc. Physics 137

2

DEPARTMENT OF BIOCHEMISTRY

Preamble

UG: Course Profile list of courses offered to other department & the syllabi of courses

Offered in the first three semesters with effect from 2012-15 batch onward and

PG: Course Profile, list of courses offered to other departments & the syllabi of courses

With effect from 2012-14 batch onwards.are presented in this booklet

COURSE PROFILE B.Sc. (Biochemistry)

semester Part category Course code Course Title Contact

Hours/

week

credit

Min Max

I

I Language UTAL103/

UTAL104/

UHIL101/

UFRL101

Basic Tamil – I/advanced

Tamil – I/ Hindi – I/ French -

I

4 2 3

II English I UENL105/

UENL106/

Basic English – I/

Advanced English - I

4 2 3

III

Core I UBCM104 Introductory biology 4 4 4

Core II UBCM105/

UBCM201

Cell biology 5 5 5

Core Practical I UBCR101 Cell biology Practical 3 2 2

Allied UCHA101 Chemistry I 3 3 3

Allied Practical UCHR102 Volumetric & Organic

Analysis Practical I

3 - -

IV Value Education 2 1 1

Soft skill USKS101/US

KS102

Communication skills/

effective Communications

skills

2 1 1

TOTAL 30 20 22

II I

Language

UTAL203/

UTAL204/

UHIL201/

UFRL201

Basic Tamil – II/

Advanced Tamil – II/ Hindi-

II/French – II

4 2 3

II English II

UENL205/ Basic English – II/

Advanced English – II

4 2 3

III Core III UENL206 Bimolecular 5 5 5

Core Practical II UBCM202/

UBCM102

Qualitative analysis

Practical

3 3 3

Allied UCHA201 Chemistry II 3 3 3

Allied practical UCHR204 Volumetric & Organic

Analysis Practical II

3 4 4

Internship UBCI201 Summer Internship - - 1


Non Major

elective

4 2 2

Soft Skill

USKS201/

USKS202

Spoken English /

Presentation skills

2 1 1

V Extension

Activity/Physical

Education

- 1 2

TOTAL 30 24 28

3

semester Part category Course code Course Title Contact

Hours/

week

credit

Min Max

III

I Language UTAL303/

UTAL304/

UHIL301/

UFRL301

Basic Tamil – III/advanced

Tamil – III/ Hindi – III/

French - III

4 2 3

II English III UENL305/

UENL306/

English – III

4 2 3

III

Core V UBCM302 Analytical Biochemistry - I 6 5 5

Core VI UBCM303 Nutrition women‘s Health 5 5 5

Core Practical III UBCR301 Quantitative analysis and

Chromatography Practical

3 3 2

Value education

3 1 1

IV

Non Major

elective

4 2 2

Soft skill USKS301 Communication skills/

effective Communications

skills

2 1 1

TOTAL 30 21 23

II I

Language

UTAL403/

UTAL404/

UHIL401/

UFRL401

Basic Tamil – IV/

Advanced Tamil – IV/ Hindi-

IV/French – IV

4 2 3

II English II

UENL405/

UENL406

English – IV

4 2 3

III Core VII UBCR401 Analytical Biochemistry -II 6 5 5

Core Practical IV UBCR401 Quantitative analysis and

Chromatography Practical

3 3 3

Allied UMAA405 Biostatistics 5 5 5

Internship UBCI401 Summer Internship - - 1


Non Major

elective

4 2 2

Soft Skill USKS401 Life Coping Skills 2 1 1

V Extension

Activity/Physical

Education

- - 2

TOTAL 30 21 26

4

Part Category Course code Course Title

Contact

Hours/

Week

Credit

Semester Min.

Max.

Core VII UBCM501 Enzymes and intermediary

metabolism 5 5 5

Core VIII UBCM502 Human Physiology 5 5 5

V Part III

Core IX UBCM503 Bioinformatics 4 4 4

Core practical V UBCR501 Enzymology Practical 5 5 5

Extra Credit Provision UBCR502 Biochemical

Experiment - - 1

Allied Optional 5 4 4

Part IV Non Major elective 4 2 2

Soft Skill 2 1 1

Part V Extension - - 1

TOTAL 30 26

S

28

Core X UBCM601 Biotechnology 5 5 5

Core XI UBCM602 Advanced Clinical Biochemistry 5 5 5

Core XII UBCM603 Molecular Biology 5 5 5

Core XIII UBCM604 Comprehensive Viva-Voce 5 5 5

VI

Part III

Core practical VI UBCR601 Clinical Biochemistry Practical 5 5 5

Core practical VII UBCR602 Hematology, Urine analysis &

Biochemical analysis Practical 3 2 2

Major optional

UBCO603

UBCO604

Immunology

Stem Cell Therapy 5 4 4

Vivo -voce UBCC604 Comprehensive Viva -voce - 1 1

Part IV Soft Skill 2 1 1

Part V Extension activity/

Physical education - - 2

TOTAL 30 28 30

GRAND TOTAL 180 140 156

Non Major Electives and Allied Optional

Part Category Course code Course Title

Contact

Hours/

Week

Credit

Semester Min.

Max.

II IV Non major elective UBCE201 Biomedical Techniques

4 2 2

III IV Non major elective UBCE302 Food Microbiology

4 2 2

IV IV Non major elective UBCE402

UBCE403

Clinical Nutrition

First Aid Management

4 2 2

V IV Non major elective UBCE501 Basics of bioinformatics

(Not For Majors) 4 2 2

V III Allied Optional UBCO501

UBCO502

UBCO503

Clinical Diagnostics Microbiology

Environmental Biochemistry

5 4 4

5

UBCM104 INTRODUCTORY BIOLOGY (This replaces syllabus UBCM103 Introduce Biology found in Academic Council Booklet II)

Semester : I Credit : 4 Category : Core Hours/Week : 4 Class & Major : I B.Sc Biochemistry Total Hrs : 52

Objectives

To gain basic knowledge of areas in biological science.

To identify the inter relations between different fields of life science.

Unit-I 10Hrs

Theories of origin of life – special creation, spontaneous generation, steady state theory,

cosmozoan theory and biochemical evolution. Summary of the theories of the origin of life-

Lamarckian evolution and Darwinism.

Unit-II 10Hrs Structure and properties of water. General Structure and functions of biomolecules-

carbohydrates, proteins and lipids

Unit-III 12 Hrs Ecosystems –definition, kinds of ecosystems- natural and man made. Structure of

ecosystem- major components, ecological pyramids. Productivity of ecosystem- Primary &

secondary productivity. Food chains and Food webs in ecosystems. Biological magnification and

energy flow in ecosystem.

Unit-IV 10Hrs

Biodiversity- definition- genetic, species and ecosystem diversity- values and uses of

biodiversity – biodiversity at global, national (India) and local levels – hotspots, threats to

biodiversity – conservation of biodiversity – Insitu & Exsitu.

Unit-V 10Hrs

Environmental Pollution- Definition, types of pollution – Air pollution- sources, prevention

and control, acid rain. Water pollution – sources, prevention and control. Solid waste pollution,

radioactive pollution- source and control measures.

Text Books:

Green N.P.O, Stout G.W, Taylor D.J, Biological Science, Cambridge University Press 1995.

Sharma P.D Environmental Biology Rastogi Publications 2nd

Edition 2004.

Reference Books:

Asthana D.K A text book of Environmental studies, S Chand & Co Ltd. 2006.

Verma PS & Agarwal, Cell Biology, Genetics, Molecular Biology, Evolution and

Ecology, S.Chand Publication, 2008.

Arumugam.N, Organic Evolution, Saras Publication, 1984.

Jain.J.L, Sunjay Jain and Nitin Jain, Fundamentals of Biochemistry, S.Chand and

Company Limited, 2007

6

UBCM105 /UBCM201CELL BIOLOGY (This replaces syllabus UBCM102 Bimolecular found in Academic Council Booklet I)

Semester : I Credit : 5

Category : Core II Hours/ Week : 5

Class & Major: I B.Sc Biochemistry Total Hours : 65

Objectives

To understand the dynamic nature of the Cell.

To learn the structural features and differences between prokaryotes and eukaryotic cells.

To develop an understanding of eukaryotic cell.

Unit –I 10Hrs An overview of cells- origin and evolution of cells. Cell theory, Classification of cells-

prokaryotic and eukaryotic cells, comparison of prokaryotic and eukaryotic cells. Molecular composition of cells- water, carbohydrates, lipids, nucleic acids and proteins.

Unit –II 15 Hrs Cell membrane- Fluid mosaic model of membrane structure. Membrane proteins and their

properties. Membrane carbohydrates and their role. Transport across membranes-Diffusion, active and passive transport.

Unit –III 15 Hrs Endoplasmic reticulum- types, structure and functions. Golgi apparatus- structure and

function. Lysosomes- structure and functions, morphology and functions of peroxisomes and glyoxysomes.

Unit –IV 10 Hrs Mitochondria- structure and functions. Cytoskeleton- types of filaments and their

functions. Microtubules- chemistry and functions. Cilia and flagella.

Unit –V 15 Hrs Nucleus- structure and functions. Chromosomes- chromatin structure. The cell cycle- Phases of cell cycle. Meiotic and mitotic cell division. Apoptosis and Necrosis.

Text Books

Lohar, S.Prakash., Cell and Molecular Biology,MJP publishers, 2007.

Verma.P.S and Agarwal., Cell biology, Genetics, Molecular Biology, Evolution and

Ecology, S.Chand Publication, 2008

Reference Books

Cooper.M., The cell-A molecular approach, ASM Press, 1995. Harvey Lodish, Baltimore and Arnold Berk, et.al ., , Third Edition, Molecular and cell

biology, 1995. Rastogi.S.C., Biochemistry.Second Edition, Delhi,Tata Mc Graw Hill, 2007.

7

UBCR101 CELL BIOLOGY PRACTICAL (This replaces syllabus UBCR201 Qualitative Analysis of Bimolecular Biology found in Academic

Council Booklet I)


Category : Core Practical I Hours/week : 3

Class & Major : I B.Sc Biochemistry Total Hours :39

Objectives

To understand plant and animal cells.

To gain practical insight of structural features of prokaryotes and eukaryotic cells.

To apply the methods in cell biology

1. Use of Microscopes.

2. Blood Smear preparation.

3. Mounting buccal epithelium and observing living cells using vital staining.

4. Mitosis in Onion root tip squash

5. Study of prepared slides of histology (any five)

a) Columnar Epithelium

b) Ciliated Epithelium

c) Glandular Epithelium

d) Alveolar Connective tissue

e) Cartilage T. S.

f) Cardiac muscle

g) Striated muscle

h) Non striated muscle

I) Nervous tissue

6. Barr Body staining from buccal epithelial cells.

7. Isolation of chloroplast from spinach leaves.

Text Book:

Dr.S.Rajan & Mrs. R.Selvi Christy, Experimental procedure in Life Science, First Edition,

Anjanaa Book House, Chennai, 2010.

Reference Books:

Chris Hawes & Beatrice Satiat Jeunermaitre(Editors) Plant Cell Biology: A practical

Approach, 2nd

Edition , Oxford University Press, USA 2001.

John Davey & Mike Lord, Essential Cell Biology: A practical approach Vol.2, 2nd

Edition,

Oxford University Press, USA 2003.

8

UBCM202/UBCM102 BIOMOLECULES (This replaces syllabus UBCM201 Cell Biology found in Academic Council Booklet II)


Category : Core III Hours/ week : 5

Class & Major : I B.Sc Biochemistry Total Hours : 65

Objectives

To understand the principles of the structure of molecules associated with life processes and their roles in the functioning of living cells.

To develop problem solving skill & to understand the basic principles of measurement of biological systems

Unit-I 15Hrs Classification of carbohydrates, physical properties- Stereo & optical isomerism, anomeric form & Mutarotation. Occurrence and biological importance of mono, di & polysaccharides - Cellulose, starch, glycogen, pectin. Introduction to mucopolysaccharides (proteoglycans, glycosaminoglycans).

Unit-II 15Hrs Classification based on solubility, shape, composition and function. Stereo & optical isomerism, Zwitterions, physical & chemical properties, titration of amino acids, Essential amino acids. Protein Introduction, classification based on solubility, shape, composition and function. Functional aspects of protein. Biologically important peptides- Structure and function of Insulin, glutathione, vasopressin.

Unit-III 10 Hrs Definition, classification,& function of fatty acids,phospholipids,glycolipids,

sphingomyelin, Plasmalogen & sterol. Essential fatty acid and non- essential fatty acid

Unit-IV 15Hrs

Nature of nucleic acids, structure of purines, pyrimidines, nucleosides & nucleotides. Structure of DNA - Watson and Crick models. Types of DNA. Structure of RNA and its types. Properties – Denaturation, Renaturation, Tm, Hypo & Hyperchromicity.

Unit-V 10 Hrs

Vitamins: Classification of vitamins- water soluble vitamins and non water soluble

vitamins. General biological function.

Text Books

Eric E. Conn, Paul K. Stumpf, George Bruening and RoyH.Dol.,TextbookofBiochemistry, John Wiley and Sons, 2005.

Jain.J.L, Sunjay Jain and Nitin Jain., Fundamentals of Biochemistry, S.Chand Publication, 2008.

9

Reference Books

Ambika Shanmugam., Fundamentals of Biochemistry, Seventh Edition, published by Author, 2006.

David L.Nelson, Michael M.Cox .,Lehninger’s Principles of Biochemistry , Fourth edition, Newyork,W.H.Freeman and Company, 2005.

Satyanarayan.V, Chakrapani.V .,Essentials Of Biochemistry, second edition, Kolkota, Books & Allied, 2007.

UBCR202 QUALITATIVE ANALYSIS PRACTICAL (This replace the syllabus UBCR202 Qualitative Analysis of Biomolecules found in

Academic Council Booklet I)


Category : Core practical II Hours/ week : 3

Class & Major: I B.Sc Biochemistry Total Hours : 39

Objectives

To carry out biochemical analysis.

To become competent in the basic experimental techniques of biochemistry.

QUALITATIVE ANALYSIS

1. ANALYSIS OF CARBOHYDRATES Colour reactions of sugars and osazone test. a) Monosaccharide : Pentoses- Ribose and Arabinose

Hexoses- Glucose, Fructose, Galactose and Mannose b) Disaccharides : Sucrose, Maltose, Lactose c) Polysaccharides : Starch, Dextrin and Glycogen

2. ANALYSIS OF AMINOACIDS Colour reactions of aminoacids such as Tyrosine, Tryptophan, Arginine, Histidine and Cysteine

3. ANALYSIS OF PROTEINS Egg albumin-Solubility, Biuret, Millons, Xanthoproteic, Denaturation by heat,pH

change and Precipitation by acidic reagents. Text Books

Jayaraman.J., Laboratory manual in Biochemistry, New Age International Limited Publication.

Reference Books Pattabiraman., Laboratory Manual in biochemistry, CBS Publication, & Distributors,2012 Singh.S.P., Practical Manual of Biochemistry, Sixth Edition, CBS Publication, 2006 Varley., Practical biochemistry, CBS Publication, 1998.

10

UBCM302 ANALYTICAL BIOCHEMISTRY- I

Semester : III Credit : 5 Category : Core IV Hours/week : 6 Class & Major : II B.Sc Biochemistry Total Hours : 78 Objectives

To gain practical knowledge in laboratory techniques for the Biochemical field.

To develop the problem solving and analytical thinking skills in order to develop scientific communication skill.

Unit- I 10 Hrs Units of Measurements & Electrochemical techniques. Units of measurement of solutes in

solution, eg Normality, Molality, Molarity and Milliosmol, ionic strength, isotonic solution, hypertonic and hypotonic solution.

Unit -II 15 Hrs Acid- base balance, pOH, pH, Buffer, Henderson Hasselbach equation. Principle and

application of hydrogen electrode, Oxygen electrode, Glass electrode.

Unit -III 18 Hrs General principles of chromatography- partition and adsorption, countercurrent

distribution. Principles, operational procedure and application of paper chromatography,Thin layer chromatography and Column chromatography.

Unit -IV 20 Hrs General principles, factors affecting the migration rate - sample, electric field, buffer and

supporting medium. Paper electrophoresis, Tiselius moving boundary electrophoresis, PAGE- SDS, Immuno electrophoresis, determination of molecular weight of proteins. Agarose gel electrophoresis, isoenzyme separation, principle of isoelectric focusing.

Unit -V 15Hrs

Basic principles with different types of centrifugation. Sedimentation rate, Svedberg unit, different types of rotors. Differential, Density gradient, isopycnic and equilibrium centrifugation. Preparative and analytical ultracentrifugation techniques.

Text Books

Keith Wilson and John Walker. Principles and techniques of Practical Biochemistry, 6th

Edition, Cambridge press, 2007. Upadhyay , Upadhyay Nath., Biophysical chemistry, Third revised edition, Himalayan

publications, 2006. Reference Books

Asokan.P., Analytical Biochemistry & Biochemical techniques, Chinnaa publication ,2006.

Keith Wilson, Kenneth H.Goulding.,A Biologist’s guide to principles and techniques of practical biochemistry, 3

rd edition, Cambridge University press,1992.

Subramanian.M.A., Biophysics:Principals and Techniques, MJP Publishers,2005. Sadasivam .S and A.Manickam.,Biochemical methods,3

rd edition, New Age

International (P) Ltd, 2008.

11

UBCM303 NUTRITION AND WOMEN’S HEALTH

Semester : III Credit : 5 Category : Core VI Hours/week : 5 Class & Major : II B.Sc Biochemistry Total Hours : 65

Objectives

To impart knowledge on the importance of nutrition during life span of a women.

To enlighten on the dietary requirements during the different physiological states.

Unit-I 10Hrs

Nutrition-Definition, Classes of Nutrients, Status of Nutritional Health, Recommended

allowances – Recommended dietary allowances for women, basis for requirement, computation of

allowance based on energy expenditure, components of energy expenditure. General concepts

about growth and development through different stages of life.

Unit-II 15Hrs

Stages of gestation, maternal weight gain, complications of pregnancy, maternal

physiological adjustments, Factors affecting the course & outcome of pregnancy. Effect of

malnutrition & socio-economic factors on the nutritional status of pregnant women. Balanced diets

for pregnant women. Importance of nutrition during and prior to pregnancy, teenage pregnancy.

Unit-III 10Hrs

Physiology of lactation, Lactation in relation to the growth & Health of Infants, Nutritional

requirements of Nursing mother, Effect of malnutrition on the nutritional status of nursing mother.

Hormonal control, efficiency of milk production, importance of breast feeding, nutritional

composition of breast milk.

Unit –IV 15 Hrs

Nutrition & Feeding of Normal infants – Nutritional requirements of infants,

Recommended daily dietary allowances for infants, Feeding schedule. Nutrition for pre – school

children-Nutrient requirements, Balanced diet, Nutritional status, Causes & prevention of

malnutrition.

Unit-V 15Hrs

Physiological changes in aging, Menopausal and post menopausal women, hormonal

changes, nutritional requirement, planning a diet. Psycho-social and economical factors affecting

eating behavior, social situation, knowledge and belief, institutionalization and common health

problems.

Text Books

Swaminathan.M, Essentials of Food & Nutrition, Bangalore.,BAPPCO, 2003. Reference Books

Clark, N.Sports Nutrition Guide book, Versa Press, USA.,1997.

12

Williams, M.H Nutrition Aspects of Human, Physical and Athetic performance II edition,

Spring field publication, Illinois, 1995.

Lankford, R.T.Marie and steward, J.Nutrition and Physical fitness, Foundation of Normal

and Therapeutic Nutrition, Wiley Medical publication, New York, 1985.

William, Sue Rodwell-Nutrition and Diet Therapy 5th

edition,Moshey Co., St Louis,1985.

Maurice E.Shils, James A.Olson, Moshe shike ―Modern Nutrition in health ans disease‖ 8th

edition Vol I, II Lea & Febiger Philadelphia, A Waverly company,1994.

Martin S.R., Robert‘s Nutrition Work with Children, The University of - Chicago Press,

Chicago, 1963.

Jellife D.B.Assessment of Nutrition Status of the Community, WHO, Geneva, 1966.

UBCR301 QUANTITATIVE ANALYSIS PRACTICAL ((This replace the syllabus UBCR401 Qualitative Analysis and Technique found in

Academic Council Booklet I)

Semester : III Credit : 3

Category : Core practical III Hours/ week : 3

Class & Major: II B.Sc Biochemistry Total Hours : 3’

Objectives

Understand the principles involved in the study area

Attain technical competence in the specific discipline

1. Volumetric analysis

a) a)Use of potassium permanganate in the estimation of iron,oxalateds,nitrite and

chromates

b) Estimation of calcium form Biological fluids(milk and urine)

c) Use of potassium dichromate in the standardization of sodium thiosualphate and

estimation of coper by iodometry

2. Chromatographic separation

d) Paper chromatography – Separation and detection of aminoacids and simple sugars

e) Thin layer chromatography – Separation of polar and non –polar amino acids

Text Book

David T.Plummer An instruction to practical biochemistry,1998

Reference Book

Jayaraman J.Laboratory manual in Biochemistry, New age International Limited

Publication, 1996

Sadasivam S and Manickam A 3rd

edition Biochemical Methods, New Age

Limited publication,2008

Sadasivam S and Manickam A 3rd

edition Biochemical Methods, New Age

Limited publication,2008

13

UBCE201 BIOMEDICAL TECHNIQUES Semester : II Credit : 2

Category : Non major elective Hours/week : 4

Class & Major : I UG Total Hours : 52

Objectives

To study the different techniques employed in Biochemistry and its importance. To know about the instrumentation of laboratory experiments. To develop the skill of maintaining the lab in a perfect manner.

Unit -I 12Hrs Instrumentation to laboratory equipments and basic laboratory operation and role of lab technician, types of specimen collection, and collection procedure- Blood and Urine. Unit of measurement, reagent preparation and laboratory calculation – metric system.

Unit -II 10Hrs Blood pressure, pulse, clotting time, bleeding time, Hb estimation, Total count- RBC,

WBC, Differential WBC count , ESR and Haematocrit value

Unit- III 10Hrs Blood grouping and Rh factors. Blood collection, screening test-HIV, HBs Ag. Blood

grouping, Cross matching, Incompatible blood transfusion.

Unit -IV 10Hrs Brief outline of Histopathology, Tissue cutting, Fixation Embedding Tissue slicing by microtome, slide mounting and staining techniques.

Unit -V 10Hrs Techniques of measuring: blood glucose, urea, uric acid, TG, AST, ALT, ALP, ACP, Cholesterol and Total protein.

Text Books Ambika Shanmugam., Fundamentals of Biochemistry for medical students, Published by

the author, 2006.

Reference Books Ambika Shanmugam., Fundamentals of Biochemistry for medical students, Published by

the author, 2006. Mukherjee.L., Medical laboratory technology, 15

th edition, Tata McGraw-Hill

Publishing Company Limited, 2004. Talib.H., Medical laboratory technology, McGraw-Hill Publishing Company Limited

UBCE303 HORMONAL BIOCHEMISTRY

Semester : III Credit : 2 Category : Non Major Elective Hours/Week : 4 Class & Major : IIUG Total Hours : 52

Objective:

Understand the basic concept in physiology.

14

Seek out new knowledge and information about the diagnosis and management

Of endocrine and metabolic discovers.

Determine the family, social and medical history relevant to endocrine problems.

Unit –I 10Hrs

Introduction to the hormones, Hormones- definition, classification, Characteristic features.

Hormone receptors – Features, regulation of receptor levels. Overview Mechanism of hormone

action. Signal transduction.

Unit – II 10Hrs

Secretion, Biological action, function and regulation of growth hormone, Thyroid

stimulating hormone, Adreno corticotropic hormone, Prolactin, Gonadotropic hormone, follicle

Stimulating hormone, Leutinizing hormone. Antidiuretic hormone and oxytocin.Disorders-

Dwarfism, Gigantism, Acromegaly, Hyper and Hypopituitarism, Cushing‘s disease and diabetes

insipidus.

Unit – III 12Hrs

Thyroid and parathyroid hormones: Secretion, Function, Biological action of thyroid

hormones. Thyroxine. Disorders: Hypothyroidism – Cretinism, Myxoedema and Hashimoto‘s

Diseases. Hyperthyroidism – Graves diseases(Exopthalamic goiter) and non-toxic goiter.

Unit – IV 10Hrs

Pancreatic hormones: Synthesis, regulation, biological action, mechanism of Insulin,

Glucagon, Somatostatin and insulin growth factors and their disorders (esp Diabetes Mellitus,

Hypoglycemia).

Unit- V 10Hrs

Adrenal and gonadal hormones. Glucocorticoids and Mineralocoids – Secretion,

transport,biological effects, metabolism and excretion.Gonadal hormones – Biological action of

androgens and estrogens.

UBCE302 FOOD MICROBIOLOGY


Category : Non major elective Hours/week : 4

Class & Major: II UG Total Hours : 52

Objectives

To study the food spoilage by microorganism.

To understand the preventive measures to control food spoilage.

Unit-I (8Theory+ 4Practical) Hrs

Microorganism- Introduction, definition and general classification of food microbes -yeast,

mould and bacteria(E.Coli & C.Botulinum) and their role in food spoilage.

Unit-II (6T+ 4P) Hrs

General principles underlying spoilage of food, fitness and unfitness of food for

consumption, contamination and spoilage of non perishable and perishable foods.

15

Unit-III (9T+1P) Hrs

Food in relation to disease - food born diseases, bacterial poisoning, symptoms and

prevention of Staphylococcal food poisoning and salmonella food poisoning.

Unit-IV (9T+1P)Hrs

Control and prevention of microbial food poisoning - Principles of preservation,

Preservation by high and low temperature, chemical preservatives- salt & sugar as preservatives,

new trends in food preservation.

Unit-V 10Hrs

Sterilization - Physical agents - Heat, moist heat, fractional sterilization, pasteurization.

chemical Agents- Phenols, alcohols and quaternary ammonium compounds.

Text Books Frazier.William.C, Westhoff.D.C Food microbiology TATA Mc Graw Hill, 4

th

Edition 1995.

Vijaya Ramesh. K Food microbiology, MJP Publishing company Ltd, 2007.

Reference Books

Pelczar M.J., Chan J.R.E.C.S.,Noel.Krieg. R Microbiology – TATA Mc Graw

Hill,5th

Edition,1993.

Prescott,Harley& Kleins, Microbiology,Mc.Graw-Hill International Publishing

Compan Limited, 7th

edition, 2008.

EXTRA CREDIT PROVISION

BIOCHEMICAL EXPERIMENT

Credit: 1

Duration: 30 hrs

ASSESSMENT

Choice of the topic and current relevance - 10

Work regularity & sincerity - 10

Observation & Calculation -10

Report of results - 40

Power Point Presentation - 20

16

COURSE PROFILE M.Sc. BIOINFORMATICS

Semester Category Course

code Course title

Contact

Hours/

Week

Credit

min max

I

Core I PBIM101 Biological Chemistry 6 4 4

Core II PBIM102 Biophysics & Stereochemistry

7 5 5

Core III PBIM103 Introduction to Computer Programming 6 4 4

Core practical I PBIR101 Introduction to Computer Programming- Lab 6 4 4

Non-Major

Elective

5 4 5

Library 1 - -

Total 30 21 22

Core IV PBIM201 Molecular Biology and Genetic Engineering 4 4 4

Core V PBIM202 Structural Biology

4 4 4

II

Core VI PBIM203 Computer Programming in PERL and CGI 5 4 4

Core VII PBIM204 Computational Biology 4 4 4

Core practical II PBIR201 Computer Programming in PERL and CGI -

Lab 4 2 2

Core practical III PBIR202 Biological data banks and

Sequence analysis 4 2 2

Non major Elective

II

5 4 5

Service Learning PBIX201 Nutritional Awareness 1 1

Total 30 25 26

III

Core VIII PBIM301 Genomics 4 4 4

Core IX PBIM302 Proteomics 4 4 4

Core X PBIM304 Research Methodology 5 4 4

Core practical IV PBIR301 Bimolecular Structure and dynamics 6 4 4

Core practical V PBIR302 Computer aided drug design 6 4 4

Non Major Elective PALE401 Preparatory Course for NET/SET 5 4 4

Total 30 24 24

IV

Core XI PBIM401 Data base management system and its

applications 5 5 5

Core XII PBIM402 Molecular modeling and computer aided Drug

design 5 4 4

Project PBIP401 Skill Based project 15 7 7

Value Education PWSV401 Women Studies 5 4 4

Total 30 20 20

Grand Total 120 90 92

Non - Major Electives

Category Course code Course Title

Contact

Hours/

Week

Credit

Semester Min.

Max.

I Non major elective PBIE101 Algorithms For Computational

Biology 5 5 5

I Non major elective PBIE102 Applied Bioinformatics 5 4 4

II Non major elective PBIE201 Drug Biochemistry 5 4 4

II Non major elective PBIE202 Pharmacogenomics 5 5 5

17

PBIM101 BIOLOGICAL CHEMISTRY


Category : Core I Hours/ week : 6

Class & Major : I M.Sc Bioinformatics Total Hours : 78

Objectives:

To enable the students

To understand the chemistry involved in biological systems.

To learn the basic concepts of Biomolecules.

To understand the outlines of metabolism.

To learn the basic methods of bimolecular separation and purification.

Unit - I 15 Hrs

Thermodynamic Concepts, Gibbs free energy, Enzymes: active site and its determination, General

mechanisms of enzyme action: (General Acid-Base catalysis, orbital steering, electrostatic, metal-ion,

covalent and nucleophilic catalysis) Enzyme Kinetics – MichealisMenten Kinetics, Linear plots,

Competitive, uncompetitive and non-competitive inhibition kinetics, allosteric enzymes.

Unit - II 12 Hrs

AminoAcids and Proteins: Classification, Proteindenaturation, protein purification techniques.

Nucleic acids: Denaturation and Renaturation of DNA, C-value paradox, reassociation kinetics: Cot

curve.

Unit-III 16 Hrs

Structure and functions of carbohydrates: mono, di, oligo and polysaccharides, Glycoproteins and

Proteoglycans. Structure and function of lipids: fatty acids, Eicosanoids, Phospholipids, Isoprenoids.

Unit-IV 18 Hrs

Metabolic pathways: Glycolysis and Citric acid cycle, Urea cycle, Glycogen metabolism,

Metabolic regulation taking glycolysis and glycogen metabolism as examples, Electron Transport

chain and Oxidative phosphorylation, Integration of metabolism.

Unit-V 17 Hrs

Separation and purification of Macromolecules – Extraction and purification of proteins and

enzymes. Centrifugation – differential, isopycnic and ultra centrifugation. Chromatography – Gel

filtration, ion-exchange chromatography, Affinity chromatography. Electrophoresis – Principles, SDS-

PAGE, Agarose Gel electrophoresis, Capillary, Capillary electrophoresis.

Text Books

David L.Nelson, Michael M.Cox ., Lehninger’s Principles of Biochemistry , Fourth edition, W.H.Freeman and Company, Newyork, 2005.

Eric E. Conn; Paul K. Stumpf.,George Bruening and Roy H.Dol, Textbook of Biochemistry, John Wiley and Sons, 2005

Sangertel., Principles of Nucleii Acid Structure,2000

18

Reference Books

Satyanarayan. V, Chakrapani. V., Essentials Of Biochemistry, second edition,

Books & Allied, Kolkota. 2007.

Stryer. L., Biochemistry.7th

Edition. W.H Freeman. 2002.

Voet.Dand Voet J.G., Biochemistry. John Wiley & Sons Inc.2002.

PBIM102 BIOPHYSICS AND STEREOCHEMISTRY


Category : Core II Hours /Week : 6


Objectives:


Understand the spatial arrangements of biomolecules.

Analyze the protein and nucleic acid structure.

Understand the forces involved in macromolecular interactions.

Unit-I 14 Hrs

Levels of structures in biological macromolecules-Central equations in biophysics-basic strategies

in biophysics.

Unit-II 18 Hrs

Conformational Analysis-Forces that determine protein and nucleic acid structure, Polypeptide

chain geometries-Ramachandran Map-potential energy calculations-observed values for rotation

angles-hydrogen bonding-hydrophobic interactions and water structure-ionic interactions-disulphide

bonds-prediction of protein structure.

Unit-III 14 Hrs

Nucleic acids-general characteristics of nucleic acid structure – geometries, glycosidic bond –

rotational isomers and ribose puckering – forces stabilizing ordered forms-base pairing – base stacking –

tertiary structure of nucleic acids.

Unit-IV 16 Hrs

Stereochemistry: Principles-Chirality, Symmetry in organic compounds. Molecular isomerism:

Time scales and energy criteria, conformational principles, conformational analysis, calculation of

surface areas, volumes and radius of biomolecules.

Unit-V 16Hrs

Application of stereo chemical principles: Conformation of open chain compounds, chiral

compounds, Macromolecular stereochemistry, Determination of relative and absolute configuration.

Text Books

19

Alexander Von Zelewsky.,Stereochemistry of Coordination Compounds,1996

Keith Wilson and John Walker., Principles and techniques of Practical Biochemistry Cambridge

press. 6th

Edition. 2007.

Upadhyay ,UpadhyayNath., Biophysical chemistry Himalayan publications, Third revised

edition. 2006

Reference Books

Branden. C and Tooze.J.,Introduction to Protein Structure. Garland publishing Inc., New

York. 1991.

Cantor C.R &Schimmel P.R., Biophysical chemistry part – I. W.H. Freeman & Co,

San Fransisco. 1980.

Ernest. L.Eliel.,Sterochemistry of organic compounds. John Wiley & Sons, 1994.

Glaser. R., Biophysics, Springer. 2000.

Kalsi K.S., Stereochemistry – Conformation & Mechanism New Age International Ltd.,

1990.

PBIM201 MOLECULAR BIOLOGY AND GENETIC ENGINEERING

Semester : II Credit : 4

Category : Core IV Hours /Week : 4


Objectives:


Learn the basics of molecular biology.

Understand mutations and DNA repair.

Imbibe the concepts in gene manipulation.

Unit-I 10 Hrs

DNA Replication – transcription and translation – codon and anticodon concepts – inhibitors of

transcription and translation.Gene as the unit of expression – spontaneous mutation, induced mutation –

reversed and suppression mutation – DNA repair mechanism.

Unit-II 11 Hrs

Gene regulation- operon concept- lac, trp- promoter, attenuator – terminator and operator –

transcription factors- allosteric enzymes and feed back inhibition- repression.Mendelian laws- sex

chromosome and sex –linked inheritance- linkage and crossing over and genetic mapping of

chromosomes-transformation, conjugation, transduction.

Unit-III 11 Hrs

Basics of recombinant DNA technology- introduction to cloning, cloning vectors- expression of

the clones, gene selection, maximizing gene expression, estriction enzymes and mapping of DNA,

plasmid and phage vectors.

Unit-IV 10 Hrs

DNA sequencing- DNA sequencing by base specific cleavage and by primed enzymatic synthesis-

20

insertions and deletions- chromosome structure, function in prokaryotes and eukaryotes – chromosome

walking, selection, immunological identification of clones – PCR& RFLP, PAPD techniques, biochips

and DNA fingerprinting.

Unit-V 10 Hrs

Applications of DNA recombinant DNA technology – commercial aspectas of recombinant

proteins- cloning in plants- direct transfer of DNA into plant cells- transgenic plants – transgenic

animals- gene transfer by nuclear injection- gene therapy- Pharmaceuticals – anti sense RNA technique.

Text Books

Benjamin Lewin., Genes VIII, Pearson – Prentice Hall international Edition, New Delhi 2004.

Manjuyadav.,Genetics, I Edition,Discovery Publishing House,2003

Satyanarayanan.U ., Biotechnology. Books & Allied. 2007.

Reference Books

Asokan.P ., Molecular Biology. Chinna Publications. 2007.

Brown.T. A., Gene Cloning and DNA analysis. Blackwell publishing Co. 2006.

Keith Wilson and John Walker., Principles and techniques of biochemistry and molecular biology.

6th

Edition. Cambridge university press. 2006.

MukeshPasupeleti., Molecular Biotechnology. MJP Publishers. 2006.

PrakashLohar.S., Cell & Molecular Biology. MJP Publishers. 2004.

Old R.W., S.B Primrose., An Introduction to Genetic Engineering. Blackwell Science. 2003.

PBIM202 STRUCTURAL BIOLOGY


Category : Core V Hours/ week : 4

Class & Major : I M.Sc Bioinformatics Total Hour : 52

Objectives:


Understand the structural organization of Biomolecules.

Learn the forces behind the stability and functions of macromolecules.

Understand the structure function correlation.

Unit-I 12 Hrs

Macromolecular structure: Proteins- Secondary, supersecondary, tertiary and quaternary

structure. Nucleic acids- DNA and RNA.Carbohydrates.3D viral structures.Methods to study 3D

structure.Principles of X-ray crystallography.Co-ordinate systems, fitting and refinement,

validation.Analysis of 3D structures.

Unit-II 10 Hrs

Principles of protein folding and methods to study protein folding.Structure of ribosome.

Macromolecular interactions- Protein- protein, protein- nucleic acids, protein- carbohydrates. Mass

spectroscopy and computational approaches in structural biology.

21

Unit-III 10 Hrs

Molecular modeling : Overview and challenges. Methods: Conformational searching, potential

energy maps, Ramachandran maps, AB-initio methods, semi- empirical methods, empirical methods.

Conformational analysis: introduction and methods. Molecular fitting.

Unit-IV 10 Hrs

Energy emission: Non- derivative and derivative methods .Global optimization (stimulated

annealing, Tabu search, genetic algorithms). Application of energy minimization. Molecular mechanics:

conformations- global Vs local. Force fields,MM3, drieding, AMBER, CHARMM. Mechanics of bio-

macromolecules.

Unit-V 10 Hrs

Molecular dynamics: Newton‘s equation for particles,Verlet and related algorithms. Types of

dynamic stimulations: adiabatic, constant T, annealed etc. conformation changes using MD and other

methods. Free energy calculations.Dynamics of bio-macromolecules. Methods for 3D structure

prediction: knowledge based and fold recognition.

Text Books

Andrew Leach., Molecular modeling:Principles and applications, Prentice hall, 2001.

Jenny Gu,PhilipE.Bourne.,Structural Bioinformatics,2009

Philip E.Bourne, HelgeWeissig,.Structural Bioinformatics- Methods of Biochemical Analysis.

Vol .44, New Jersey, wiley-Liss. 2003.

Reference Books

Carl branden, and John Tooze., Introduction to protein structure.Garland publishing co.1991.

Creighton .T.E., Protein structure- A practical approach, 1989.

Jan Drenth., Principles of protein X-ray crystallography, Springer-Verlag. 1994

PBIM204 COMPUTATIONAL BIOLOGY


Category : Core VII Hours /Week : 4

Class & Major : I MSc Biochemistry Total Hours : 52

Objectives:


Understand scoring of matrices & algorithms.

Learn the 3D structures of molecules along with the structure viewing softwares.

Understand gene identification methods.

Learn the evolutionary analysis.

Unit-I 10 Hrs

Analysis of DNA and protein sequences – distributions, frequency statistics – protein and Nucleic

acid sequence Databases – PIR, Swiss prot, Gen Bank- patternand motif searches – BLOCKS,

PRINTS, PFAM – structure databases – PDB – Structure – classification – alignment and analysis –

SCOP, CATH, FSSP.

22

Unit-II 12 Hrs

Sequence alignment: scoring matrices – PAM and BLOSUM – Local and Global alignment

concepts – dynamic programming methodology – Needleman and Wunsch algorithm – Statistics of

alignment score – multiple sequence alignment – Progressive alignment – databases searches for

homologous sequences – FASTA and BLAST.

Unit-III 10 Hrs

Protein secondary structure prediction – Chou – Fasman, Garnier – Osguthorpe –Robson(GOR )

methods–Predicting 3Dstructure–comparative (Homology) modeling, threading(fold recognition) and

ab initio methods – Rosetta – CASP – Protein structure visualization tools – RasMol, Swiss PDB

Viewer.

Unit-IV 10 Hrs

Fragment assembly – Genome sequence assembly – Gene finding methods: content and signal

methods – Background of transform techniques – Fourier Transform and gene prediction – Analysis

and prediction of Regulatory regions – Neural network concepts and secondary structure prediction –

probabilistic models: Markov chain – random walk – Hidden Markov models – Gene identification and

other applications.

Unit-V 10 Hrs Evolutionary analysis: distances- clustering methods – rooted and un- rooted tree representation –

Bootstraping strategies – Phylogenetic trees – PHYLIP.

Text Books

Arthur M. Lesk., Introduction to Bioinformatics,Oxford University Press,New Delhi

2003.

Philip E.Bourne, HelgeWeissig., Structural Bioinformatics- Methods of Biochemical

Analysis.Vol .44,New Jersey, wiley-Liss. 2003.

Reference Books:

Baxevanis. A and OuletteB.F.,Bioinformatics: A practical Guide to the analysis of Genes and

proteins, Wiley – Interscience , Hoboken, NJ .1998.

Durbin. R, Eddy.S.R, A.Krogh and G.Mitchison,, Biological sequence analysis

Cambridge Univ. Press, Cambridge, UK. 1998.

Gibas. G and P.Jambeck,,Developing Bioinformatics Computer Skill, 1st edition, O‘ Reilly. 2001.

Higgins.D and Taylor. W ( Eds)., Bioinformatics – Sequence structure and databanks, Oxford

University Press, New Delhi. 2000.

Michael Waterman. S,, Introduction to Computational Biology, Chapman and Hall.1995

PBIR202 BIOLOGICAL DATABANKS AND SEQUENCE ANALYSIS


Category : Core VII Hours /Week : 4

Class & Major : I MSc Biochemistry Total Hours : 52

23

Objectives:


Learn databanks and its different types.

Understand the database formats.

Get the practical knowledge of search tools.

Analyze and predict sequences using specific tools.

1. Biological Databanks-

a. Sequence Database.

b.Structure Database.

c. Specialized Databases- KEGG, GSDB, FSSP, EMP, organism specific databases.

2. Data retrieval tools and methods- (NCBI-Entrez, SRS)

3. Database file formats- (EMBL, Swiss-prot, Genbank)

4. Molecular visualization- Rasmol, SPDBV- Basic operations.

5. Analysis of protein and nucleic acid sequences.

6. Gene structure and function prediction (using GenScan, Gene Mark).

7. Sequence similarity searching ( NCBI BLAST)

8. Protein sequence analysis (ExPASY proteomics tools).

9. Multiple sequence alignment (Clustal W).

10. Molecular phylogeny (PHYLIP).

11. Sequence analysis using EMBOSS.

Reference Books

Andreas D. Baxevanis and Francis Ouellette B.F, Bioinformatics-A practical guide to the

analysis of Genes and Proteins. John Wiley & Sons, Inc Publications.

Mani. K and Vijayaraj. N, Bioinformatics: A Practical Approach. Aparna Publications,

Coimbatore.

PBIX201 NUTRITIONAL AWARENESS


Category : Service Learning Total Hours : 40

Class & Major : I M.Sc. Bioinformatics

Objectives:


Create awareness of the nutritional status of rural women.

Understand the nutritional problems of women during pregnancy and lactation.

Learn traditional methods of preservation of nutrients.

UNIT -I I8 Hrs Protein requirement for normal individual-protein calorie malnutrition in children and its treatment

Activity:

i) Discussion and survey of malnutrition in women and children.

ii) Basic Knowledge of protein deficiency through pictures and charts.

iii) Sharing of recopies of pulses and non vegetarian food items.

UNIT- II 8 Hrs

24

Vitamins-Dietary sources-nutritional importance of vitamins, deficiency symptoms of vitamins.

Activity:

i) Survey on vitamin deficient children and women.

ii) Basic knowledge of vitamin deficiency through chart model.

iii) Implementation of dietary intake of vital vitamins.

UNIT- III 8 Hrs

Minerals-Dietary sources – nutrition importance of minerals, deficiency symptoms of minerals.

Activity:

i) Discussion and survey of mineral deficient children and women.

ii) Giving suggestion and ideas related to mineral deficiency disorders.

iii) Stressing the importance of minerals in anemia, bone disorders & thyroid disorders.

UNIT - IV 8 Hrs

Nutrition for pregnancy and lactation, effect of malnutrition on nutritional status of nursing

mothers

Activity:

i) Interaction and follow up of health condition of pregnant and lactating women.

ii) Imparting guidelines for preventing malnutrition.

iii) Implementing diet for expectant and nursing mother.

iv)

UNIT - V 8 Hrs

Geriatric nutrition, physiological changes in ageing, nutritional requirement for preschool

children.

Activity:

i) Taking survey on health condition of old age and pre-school children

ii) Checking body mass index for preschool children.

iii) Suggesting nutritive diet for old age and children.

BIBLIOGRAPHY:

Dr.M.Swaminathan: Advanced text book on Food and Nutrition -volume-I, Bappco publications,

Chennai 1998.

Dr. SammanthamMoorthy: UdalNalamUngalKayiil

EVALUATION PATTERN FOR SERVICE LEARNING:

1. Participation and involvement - 20 Marks

2. Communication Skills - 20 Marks

3. Interpersonal Skills /Usage of teaching aids - 20 Marks

4. Report Presentation - 20 Marks

5. Reflection - 20 Marks

--------------

Total 100 Marks

--------------

Target group - Uneducated rural women

25

EVALUATION COMPONENTS FOR PG PRACTICAL

Continuous Internal Assessment End semester exam

Component Max.Marks Component Max.Marks

Test – I (10) + Viva (5)

Test – II (10) + Viva (5)

Daily practical Assessment

i) Aim & Procedure - 10

ii)Output - 10

iii)Interpretation - 10

15

15

30

Experiment

Record

32

08

TOTAL 60 TOTAL 40

PBIM301 GENOMICS


Category : Core VIII Hours /Week : 4

Class & Major : II MSc Bioinformatics Total Hours : 52

Objectives:


Understand genomes and its sequencing

Learn annotations of genome.

Learn the purpose of comparative genomics and methods of comparison.

Unit-I 10 Hrs

Definition of genome, genome sequencing, genome maps, types of genome maps and their uses,

high and low resolution maps. Map elements, Polymorphic markers. Type of maps: cytogenetic map,

linkage map, transcript map, physical map, cpmparitive map, integrated map, STS content map. Map

repositories; NCBI Entrez human genome map viewer, OMIM. Linkage map resources: CEPH

reference pedigree, CHLC, radiation hybrid map resources. Practical use of genome maps: local

genomic regions, target identification, arrangement of genes, SNP diagnosis, positional special cloning.

Unit-II 10 Hrs

Genome anatomies:The anatomy of Eukaryotic genome, The special features of metaphase

chromosomes, location of genes, family of genes, pseudogenes, eukaryotic organelle genomes, repetitive

DNA content of the human genome.Transcriptosomes and proteomes: Genome expression in outline, the

RNA content of the cell, the transcriptosome in yeast and human. The protein content of the cell.The

link between the transcriptosome and the proteome.

Unit-III 12 Hrs

Annotation of the Genome structural annotation (locating coding regions and other structural

elements of the gene).Various approaches in gene prediction; ORF gene prediction, gene prediction in

prokaryotes and eukaryotes, Hidden Markov Model, pattern discrimination, Evaluation of the gene

26

prediction methods, prediction of promoter sequences. Functional annotation :( prediction of the gene

function), employing the similarity in the sequence, gene family and metabolic pathway. Employing the

conserved domain, Profile and Motif comparison. EST comparison Analysis of the human genome.

Unit-IV 10 Hrs

Comparative genomics: Purpose and methods of comparison, tools for genome comparison,

application of comparative genomics, reconstruction of metabolic pathway, predicting metabolic

elements, identifying targets, examination of domain function, analysis of conserved strings.

Genome projects and model organism research- yeast, drsophilia, C.elegans and mouse- a comparative

analysis.Comparative genomics as an aid to mapping and in the study of human diseases.

Unit-V 10 Hrs

Functional genomics: Gene expression analysis by CDNA microarrays, SAGE, strategies for

generating ESTs and full length inserts, EST clustering and assembling, EST databases (DBEST,

UNIGENE), Expression and regulation of entire set of genes, sporulation Vs vegetative condition in

yeast and Bacillus.

Text Books

Arthur M. Lesk., Introduction to Genomics, 2007.

GenaFisch .S., Genomics of Neurobehavioural disorder, 2003

Giorgio Bernardi., Structural & Evolutionary Genomics, 2004.

Reference Books

Brown T.A.Taylor and Francis group.,Genomes. , 2001

David Moun .W. Cold Spring Harper.,Bioinformatics sequence and genome analysis.

LaboratoryPress. 2001.

Jeremy Peterson. D., The comprehensive Microbial Resource. Nucleic Acids Research 2001.

PBIM302 PROTEOMICS


Category : Core IX Hours /Week : 4

Class & Major : II M.Sc Bioinformatics Total Hours : 52

Objectives:


Understand the classification and spatial arrangements of proteins.

Learn protein structure prediction.

Understand the tools of proteomics.

Unit-I 11 Hrs

Protein classification: Structural elements and terminology, Helix, Sheet, Strand, Loop and Coil,

Active site, architecture, blocks, domains, Folds, Motif, PSSM, Profile. Principles of classification;

Based on structural features, phylogenetic classification, CATH- Classification by class, architecture,

Topology, Homology, Structural classification of protein, Fold classification based on structure,

Structural alignment, Molecular modeling Database, Spatial Arrangement of backbone fragments.

27

Unit-II 10 Hrs

Protein structure prediction, use of sequence pattern, leucine zipper, coiled coil, transmembrane,

signal peptide, cleavage site. Secondary structure prediction- Chou- Fasman/ GOR method, Neural

network, nearest neighbor method, Tertiary structure prediction, Threading profile, Contact potential,

Modeling.

Unit-III 10 Hrs

Analytical protein and peptide separations- Complex proteins and peptide mixtures.Extracting

samples from biological samples.Protein separations before digestion- 1D and 2D

Electrophoresis.Immobilized pH gradient, sample preparation, first dimension criteria, Stabilization and

Detecting protein on gel: electro Blot. Image analysis, Digital imaging, Spot detection and

Quantification, Gel matching. Data Analysis- Database for 2D Gel.

Unit-IV 11Hrs

Tools of Proteomics –

Mass Spectrometry for protein and peptide analysis:

- MALDI – TOF Analyzers

- ESI Tandem MS instrument

- Tandem Mass Analyzers

- The Triple Quadruple Mass Analyzer

- The Ion Trap Mass Analyzer

- Q-TOF & Fourier Transform – Ion Cyclotron Resonance MS Instrument

Unit-V 10 Hrs

Functional Proteome Analysis: Integrated Proteome Analysis – Phage antibody as tool, protein

expression analysis, and High throughput analysis for proteomics. Automation of Proteomic analysis.

Proteomics in plant breeding: Objectives, principles and methods, Genetic diversity analysis,

Distribution of varieties, lines and cultivars, Mutant characteristics, variability between organ and

development stage, Identification of abiotic stress, Genetic mapping of protein markers.

Text Books

Daniel Leibler C., Introduction to proteomics: Tools for New Biology, Humana Press, Totawa,

NJ.2002.

Pennington S.R. and Dunn M.J., Proteomics Viva Books Private Limited, New Delhi. 2002.

Reference Books

Carl Branden, and John Tooze., Introduction to Protein Structure. 2nd

Ed., Garland Publishing,

NY, USA. 1999.

David Mount .W., Bioinformatics: Sequences and Genome Analysis, Cold Spring Harbor Lab,

NY, USA .2001.

Palzkill, Timothy.,Proteomics, Kluwer Academic Publishers. 2002.

Pennington. S,(Editor), Dunn .M.J (Editor)., Proteomics: From Proteins Sequence to Function,

Springer Publications. 2001.

PBIM304 RESEARCH METHODOLOGY

28


Category : Core X Hours/ Week : 5

Class & Major: II M.Sc. Bioinformatics Total Hours : 65

Objectives:


Understand research paper writing.

Acquire knowledge and apply statistical tools for data processing.

Understand bioethics and patenting.

UNIT-I 14 Hrs

Importance and need for research. Ethics and scientific research. Formulation of hypothesis. Types

and characteristic designing a research work. Scientific writing - Characteristics - Logical format for

writing thesis and papers. Essential features of abstract, introduction, review of literature, materials

and methods, and discussion. Effective illustration - tables and figures. Reference styles - Harvard and

Vancouver systems.

UNIT-II 12 Hrs

Collection and classification of data - diagrammatic and graphic representation of data-

measurement of central tendency - standard deviation - normal distribution.

UNIT-III 12 Hrs

Test of significance based on large samples - small samples - Student t test -correlation and

regression - Chi square test for independence of attributes - ANOVA.

UNIT-IV 12 Hrs

Ethical issues in research – code of ethics in research, importance of ethics in research. Ethics in

animal experimentation. CPCSEA guidelines - Animal care and technical personnel environment,

anesthesia and euthanasia.

UNIT-V 15 Hrs

Composition of (Human) institutional Ethical Committee (IEC) - General ethical issues. Specific

principles for chemical evaluation of drugs, herbal remedies and human genetics research, Ethics in

food and drug safety. Environmental release of microorganisms and genetically engineered organisms

Ethical issues in human gene therapy and human cloning. Patenting - definition of patent. Product and

process patents. Patenting multicellular organisms. Patenting and fundamental research. Intellectual

property rights.

Text Books

Kothari C R Research MethodologyNew Age International Pvt Ltd Publishers 2nd Edition 2004.

Ethical guidelines for biomedical research on human subjects. ICMR, New Delhi,2000.

Reference Books

Dr. Murthy.C Research Methodology Vrinda Publications (P) Ltd 2009

Alley, Michael. The craft of scientific writing. Englewood Cliffs. N.N. Prentice

http://www.infibeam.com/Books/new-age-international-publisher/

29

1987.

Ethics and the use of alternatives to animals in research and education, ShiraneePereira,

CPCSEA.

PBIR302 BIOMOLEMOLECULAR STRUCTURE AND DYNAMICS


Category : Practical IV Hours /Week : 6

Class & Major : II M.Sc Bioinformatics Total Hours : 78

Objectives:


Work on the tools of protein sequence analysis.

Learn molecular graphics.

Understand the Ramachandran plot and be able to calculate phi & psi values.

1. Bioinformatics and the internet (Netscape/ Internet explorer).

2. Protein sequence analysis (Pep tool).

3. Molecular graphics (Rasmol, Chime, MolMol).

4. Molecular graphics and evaluating protein structure ( Swiss PDB viewer/ VADAR),

Molecular mechanics and energetics, free energy calculations (biomer-B/Hyper chem. Lite)

5. calculation of phi,psi angles, ramachandran plot, representation of helical parameters using

dial and windows, 3-D structure of proteins nd nucleic acids.

PBIR302COMPUTER AIDED DRUG DESIGNING Semester : III Credit : 4

Category : Core Practical V Hours /Week : 6


Objectives:


Carry out homology modeling and structure refinement using SPDBV.

Work on model validation using What check and Procheck.

Practice on microarray data retrieval and microarray data analysis.

1. Homology modeling using SPDBV

2. Model structure refinement using SPDBV.

3. Model validation using What Check and Pro Check.

4. Small molecule building, using ISIS Draw and CHEM SKETCH.

5. Target – Ligand from PDB Sum.

6. Micro array data retrieval.

30

7. Micro array data analysis for target identification.

8. Docking using AUTODECK or HEX.

PBIM402MOLECULAR MODELLING AND COMPUTER AIDED

DRUG DESIGN


Category : Core XII Hours /Week : 5


Objectives:


Understand concepts of molecular modeling, molecular structure and internal energy.

Learn the techniques of molecular dynamics.

Understand docking and drug targeting.

UNIT-I 15 Hrs

Introduction to the concepts of molecular modeling. Molecular energy and internal energy.

Application of molecular graphics. Energy minimization of small molecules. Empirical representation of

molecular energies. Use of force fields and the molecular mechanics method. Discussion of local and

global energy minima.

UNIT-II 12 Hrs

The techniques of molecular dynamics and Monte Carlo. Stimulation for conformational analysis.

Ab initio. dft and semi empirical methods.

UNIT-III 15 Hrs

Macromolecular modeling. Design of ligands for known macromolecular trget sites. Principles of

docking studies, Drug- receptor interactions. Classical SAR/QSAR studies and their implications to the

3D Modeler. 2D and 3D database searching, pharmacophore identification and novel drug design.

UNIT-IV 13 Hrs

Docking-rigid and flexible. Finding new drug to treat disease, new targets for anti-cancer drugs,

drugs that rescue mutant p53‘s.

UNIT-V 12 Hrs

Structure- based drug design for all classes of targets. Enzyme inhibition strategies.

Text Books

Andrew Leach. R.,Molecular Modeling,2001

Luke Achenie .E.K.,RafigulGani,VenkatVenkasubramanian.,Computer aided drug design,2003

Ulf Madsen,TommyLiljefore.,Textbook of Drug Design & Discovery,2002

Reference Books

31

Andrew Leach. R., Molecular Modeling: Principles and application.

Leo, Albert, Hockmad.H -Hansch, Corwin., Exploring QSAR.

Yvonne martin.C., Designing bioactive molecules three dimentional techniques and

applications.

PBIE201 ALGORITHMS FOR COMPUTATIONAL BIOLOGY


Category : Non-Major Elective I Hours /Week : 5

Class & Major : I PG Total Hours : 65

Objectives:


Understand algorithms and its types.

Learn the techniques of designing algorithms.

Unit-I 12 Hrs

Algorithms-Definition and example- Biological algorithms versus computer algorithms – Types of

algorithms- iterative, recursive, fast and slow algorithms – Running time of an algorithm – Big O notation.

Unit-II 11 Hrs

Algorithm design techniques- Brute force, branch and bound, greedy algorithms, Dynamic programming,

divide and conquer, randomized algorithm – NP complete problems.

Unit-III 15 Hrs

Dynamic programming algorithms – Sequence alignment – Global alignment using Needleman-

Wunsch algorithm – Local alignment using Smith-Waterman algorithm – Gap penalties – Fixed and

Affine gap penalties.

Unit-IV 15 Hrs

Heuristic similarity searchalgorithms – Approximate pattern Matching – FASTA algorithm –BLAST

algorithm – Comparing a sequence against a database.

Unit-V 12 Hrs

Graph Algorithms – Graphs and Genetics – DNA sequencing – shortest superstring problem – DNA

arrays as an Alternative Sequencing Technique.

Text Books

Michael Waterman.S.,Introduction to Computational Biology,1995

Neil Jones. C,PavelPevzner.,Introduction to BioinformaticsAlgorithm,2004

Reference Books

Arthur Lesk.M., Introduction to Bioinformatics,Oxford University Press,New Delhi 2003.

A.Baxevanis and B.F.Oulette., Bioinformatics: A practical Guide to the analysis of Genes

and proteins, Wiley – Interscience , Hoboken, NJ .1998.

32

R.Durbin, S.R Eddy, A.Krogh and G.Mitchison., Biological sequence Analysis Cambridge

Univ. Press, Cambridge, U.K. 1998

N.C Jones and P.A Pevzner., An Introduction to Bioinformatics algorithmsAne Books,

New Delhi,2005.

PBIE202 APPLIED BIOINFORMATICS




Objectives


Learn the bioethics and biosafety in bioinformatics industry.

Understand genome technology and its applications.

Learn comparative proteomics and its applications.

Unit-I 10 hrs

Commercial bioinformatics – Definition of bioinformatics company – Bioethics and Biosafety.

Unit-II 13 hrs

Genome technology – high throughput sequencing and assembly – Microarrays and genome wide

expression analysis – transcriptome, proteome.

Unit-III 12 hrs

Genomics in medicine – disease monitoring –profiles for therapeutic molecular targeting –

Diagnostic drug discovery and genomics.

Unit-IV 15 hrs

Pharmacogenomics and its applications – SNPs and its applications – Proteomics in medicine

therapeutic target identification.

Unit-V 15 hrs

Comparative proteomics and its applications – Patenting and the data generation from patent literature

for commercial benefits – IPR and bioinformatics – Bioinformatics Patents.

Text Books

David W Mount.,Bioinformatics, 2004

Marie France Sagot.,Advance in Bioinformatics, 2007

Paul M Selzer,Richard J Marhofer.,Applied Bioinformatics, 2008

Reference Books

Brown.T.A.,Genomes, 2nd

edition, BIOS Scientific publishers, Ltd, Oxford, UK, 2002.

Jenson.O.N.,Proteomics – A trend Guide, Elsevier Science, London, 1998.

33

Pennington.S.Rand Dunn.M.J., Proteomics, Viva Books Pvt. Ltd., New Delhi, 2002.

PBIE301 DRUG BIOCHEMISTRY


Category : Non-Major Elective II Hours /Week : 5

Class &Major : II PG Total hours : 65

Objectives


Learn the general metabolism of drugs.

Understand clinically important drugs and their effects.

Understand the basics of immunology and toxicology.

Learn the basic concepts of drug development.

Understand the role of natural products as drugs.

Unit-I 15 hrs

Absorption, distribution and metabolism of the following category of drugs- Sedatives, Analgesics,

NSAIDS, Neuroleptics, Antidepressants, Anxiolytics, Anticonvulsants, Antihistaminics, Local

anaesthetics, Cardio Vascular drugs - Antianginal agents Vasodilators, Adrenergic & cholinergic drugs,

Cardiotonic agents, Diuretics, Antihypertensive drugs, Hypoglycemic agents, Antilipedmic agents,

Coagulants, Anticoagulants, Antiplatelet agents. Chemotherapeutic agents - Antibiotics, Antibacterials,

Sulphadrugs.Antiproliozoal drugs, Antiviral, Antitubercular, Antimalarial, Anticancer, Antiamoebic

drugs. Diagnostic agents.

Unit-II 12 hrs

Biochemical role of hormones, Vitamins, Enzymes, Nucleic acids.Bioenergetics.General principles of

immunology.Immunological techniques.Adverse drug interaction.

Preparation and storage and uses of official Radiopharmaceuticals.Vitamins and Hormones.

Unit-III 15 hrs

Toxicology ,drug interactions and pharmacology of drugs acting on Central nervous system,

Cardiovascular system, Autonomic nervous system, Gastro intestinal system and Respiratory system.

Hormones, Chemotherapeutic agents including anticancer drugs.Their Bioassays.

Unit-IV 11 hrs

Development, manufacturing standards, labeling, packing as per the pharmacopoeal requirements,

Storage of different dosage forms and new drug delivery systems.Biopharmaceutics and Pharmacokinetics

and their importance in formulation.

Unit-V 12 hrs

Chemistry, tests, isolation, characterization and estimation of phytopharmaceuticals belonging to

the group of Alkaloids, Glycosides, Terpenoids, Steroids, Bioflavanoids, Purines, Guggul lipids.

34

Pharmacognosy of crude drugs which contain the above constituents.Standardisation of raw materials and

herbal products. WHO guide lines.Quantitative microscopy including modern techniques used for

evaluation. Biotechnological principles and techniques for plant development tissue culture.

Text Books

Devin., Text Book of Biochemistry with clinical correlation,1992

DonalYoet., Biochemistry,2004

Harper‘s., Illustrated Biochemistry,2006

Reference Books

Alfred Burger., A guide to chemical basis of drug design ,John Wiley & Sons.

Goodman and Gilman‘s ., The Pharmacological Basis of Therapeutics ,8th edition

Pergamon Press.

John Smith and Haywel Williams., Introduction to the principles of drug design

Wright PSG.

Manfred E Wolff., Burgers Medicinal chemistry -The basis of Medicinal Chemistry.

Part – 1 .John Wiley & Sons.

Roberts. S.M. and Price.B.J., Medicinal Chemistry – The role of organic chemistry in drug

research.

PBIE302 PHARMACOGENOMICS




Objectives:


Understand pharmacodynamics and pharmacokinetics

Understand Pharmacogenomics in terms of challenges, benefits and its applications.

Understand the bioethics of the subjects.

Unit – I 12 hrs

Phamacogenomics – Definition, Challenges, Application and benefits. Pharmacodynamics and

Pharmacokinetics in relation to Pharmacogenomics Similarities and Differences.

Unit –II 15 hrs

Definition, Types of DNA Microarrays – cDANA and Oligonucleotide arrary, Production –

Photolithography,masking and tagging. Microarray Data Analysis, Application:Expression

studies, Functional genomics, DNA Sequencing.

Unit –III 11 hrs

Definition, role of SNP I Pharmacology, SNP Databases, SNP Detection.

35

Unit –IV 15 hrs

Process of drug Discovery and Development, Discovery of polymorphisms, Drug Dosage and

efficacy, Drug Metabolism, Adverse Drug Relations, Pharmacogenomics study Cytochrome P450

enzymes.

Unit – V 12 hrs

Ethical issues, Drug effectiveness an genetic makeup, genetic tests, Ethnicity, Genetic

exceptionalism, Delivery capacity and control.

Text Books

Federico Innocents, Pharmacogenomics, 2003

Mark Rothestein A. Pharmacogenomics, 2005.

Werner Kalow, Pharmacogenomics, 2002

Reference Books

Federico, Pharmacogenomics Methods and Allications, Humana Press

Julio Lucidia, Pharmacogenomics: The search for individualized therapies, Wiley VCH

Publication

Wiley Less, Pharmaogenomics: Social Ethical and Clinical Dimensions.

36

DEPARTMENT OF CHEMISTRY

Preamble

UG: Course Profile, list of courses offered to other departments & the syllabi of revised courses

offeredin the first three semesters with effect from 2012 – 15 batch onwards and

PG: Course Profile, list of courses offered to other departments & the syllabi of the courses

with effect from 2012 – 14 batch onwards

are presented in this booklet.

Semester Part Category Course code Course Title

Contact

hrs/

Week

Credits

Min Max

I

I Language

UTAL103/

UTAL104/

UFRL101/

UHIL101

Basic Tamil –I /Advance Tamil – I

/French – I/

Hindi- I

4 2 3

II English UENL101/

UENL102

Basic English – I/Advance English

-I 4 2 3

III

Core I UCHM103 General Chemistry- I 5 5 5

Core II UCHM102 Analytical Chemistry 4 4 4

Core Practical I UCHR203 Volumetric Analysis 3 - -

Allied I UPHA101 Physics for Chemistry –I 3 3 3

Allied Practical-I UPHR102 Physics for Chemistry Practical-I 3 2 2

IV

Value Education 2 1 1

Soft Skill USKS101/

USKS102

Communication Skills

Effective Communication Skills 2 1 1

Total 30 20 22

II

I Language

UTAL203/

UTAL204/

UFRL201

UFRL201

Basic tamil – II/advance Tamil-II

/Hindi – II

/French -II

4 2 3

II English UENL203/

UENL204

Basic English- II/

Advance English –II 4 2 3

III

Core III UCHM201 General Chemistry –II 5 5 5

Core Practical I UCHR203 Volumetric Analysis 3 5 5

Allied II UPHA201 Physics for Chemistry –II 3 3 3

Allied Practical-II UPHR202 Physics for Chemistry Practical-II 3 2 2

Internship Summer Internship - - 1

IV

Non Major Elective 4 2 2


Soft Skill USKS201/

USKS202

Spoken Skills

Presentation Skills 2 1 1

V Extension Programme /

Physical Education - 1 2

Total 30 24 28

III III Language UTAL303/

UTAL304/

Basic tamil – III/advance Tamil-III

/Hindi – III 4 2 3

37

UFRL301

UHIL301

/French -III

English UENL301/

UENL302

Basic English- III/

Advance English –III 4 2 3

Core V UCHM302 General Chemistry- III 5 5 5

Core Practical II UCHR403 Inorganic Analysis & Preparation 3 - -

Allied III UMAA306 Algebra, differential calculus &

Trigonometry 6 5 5

IV

Non Major Elective 4 2 2


Soft Skill USKS301 Personality Development 2 1 1

Total 30 18 20

Semester Part Category Course code Course Title

Contact

hrs/

Week

Credits

Min Max

IV

I Language

UTAL401/

UTAL402/

UFRL401

Tamil/Hindi

/French 4 2 3

II English UENL401/

UENL402 English IV 4 2 3

III

Core VI UCHM401 General Chemistry –IV 6 5 5

Core Practical II UCHR403 Inorganic Analysis & Preparation 3 5 5

Allied IV UMAA406

Integral calculus, Laplace,

transform & ordinary differential

equation

5 5 5

IV

NonMajor Elective 4 2 2


Soft Skill USKS401 Life Coping Skills 2 1 1

V Extension Programme /

Physical Education - - 2

Total 30 22 27

V

III

Core VI UCHI501 Internship - - 1

Core VII UCHI502 Internship - - 1

Core VIII UCHM503 Inorganic Chemistry I 4 4 4

Core IX UCHM504 Organic Chemistry I 4 4 4

Core Practical III UCHR502 Physical Chemistry Practical 3 3 3

Allied Optional 5 4 4

IV Non Major Elective 4 2 2

Soft Skill USKS501 Job Skills 2 1 1

Total 30 26 26

VI

III

Core X UCHM601 Inorganic Chemistry II 4 4 4

Core XI UCHM602 Organic Chemistry II 4 4 4

Core XII UCHM603 Physical Chemistry II 4 4 4

Core XIII UCHM604 Applied Chemistry 4 4 4

Core Practical IV UCHM603 Gravimetric Analysis 4 4 4

Core Practical V UCHR602 Organic Analysis and Preparations 3 3 3

Major optional UCHO601/

UCHO602

Pharmaceutical Chemistry /

Polymer chemistry 5 4 4

IV Viva- Voce UCHC601 Comprehensive Viva-Voce 1 1

IV Soft Skill USKS601 Career Skills 2 1 1

V Extension Programme - - 2

Total 30 29 31

Grand Total 180 140 155

38

NON MAJOR ELECTIVE COURSES

LIST OF COURSES OFFERED TO OTHER DEPARTMENTS

Semester Part Category Course code Course title

Contact

hrs per

week

Credits

Max min

I III Allied- I UCHA101 Chemistry –I 3 3 3

II III Allied- II UCHA201 Chemistry -II 3 3 3

III III Allied- III UCHA301 Chemistry-III 3 3 3

IV III Allied-IV UCHA401 Chemistry –IV 3 3 3

II/IV III Allied

Practical

UCHR202/UC

HR402

Volumetric and Organic

Analysis 3 4 4

V III Allied

Optional

UCHO501/

UCHO502/

UCHO503

Green Chemistry/

Industrial Chemistry/

Food Chemistry

5 4 4

UCHM103 GENERAL CHEMISTRY-I



Class &Major : I B.Sc Chemistry Total Hours : 65

Objectives:


Acquire knowledge about the modern periodic classification of element & states of

matter

Semester Part Category Course

code Course title

Contact

hrs per week

Credits

Max min

II IV Non major

elective

UCHE202

UCHE203

Solid Waste Management

Waste Management 4

2

2

2

2

III IV Non major

elective UCHE302 Cosmetics & Detergents 4 2 2

IV IV Non major

elective UCHE402 Vocational Chemistry 4 2 2

V IV Non major

elective

UCHE502

UCHE503

Health and Hygiene

Chemistry in Health 4

2

2

2

2

39

Gain basic knowledge of the structure of atom

Familiarise students in bonding in-organic compounds.

UNIT –I 9 Hrs

Physical quantities and their dimensions- International system of Units-derived units,

subsidiary units-prefixes used for SI units-some useful constants and their values. Elements and

their symbols. Nomenclature of Inorganic compounds, Nomenclature of cations, anions, free

radicals, oxy acids, salts, hydrates, double salts, balancing equations.

UNIT-II 16 Hrs

Modern Periodic Table & Electronic Configuration- Modern Periodic Table &

Electronic Configuration of atoms- Aufbau Principle, Hund‘s rule of maximum multiplicity,

stability of half-filled and completely filled orbitals. Shapes of s, p ,d& f block elements.

Classification & characteristic properties of s, p d & f block elements. Periodicity of Properties-

Definition and periodicity of Atomic radii, Ionization potential, Electron affinity, and Electro

negativity

UNIT –III 11 Hrs

Atomic Structure- Bohr‘s model of atom- limitations of Bohr‘s model, Sommerfield‘s

model , photoelectric effect, Compton effect, de-Broglie equation. Davisson and Germer

experiment-Heisenberg‘s Uncertainty principle – Schrodinger‘s wave equation (statement only)

Significance of wave functions.ψ and ψ2

- probability distribution of electrons-radial probability

distribution curves- concept and shapes of orbitals.

UNIT-IV 17 Hrs

Introduction to Organic chemistry- Classification and Nomenclature of organic

compounds. Functional groups-homologous series- IUPAC recommendations for naming simple

aliphatic, alicyclic and aromatic compounds- polyfunctional compounds and heterocyclic

compounds.

Basics Concepts of Bonding in Organic Chemistry- Hybridization and geometry of

molecules-Methane, ethane, ethylene, acetylene and benzene. Electron displacement effects-

inductive, inductomeric, electromeric,mesomeric, resonance,hyperconjugative and steric effects.

Cleavage of Bonds-Homolytic and heterolyticfission of carbon-carbon bond, reaction

intermediates, carbocation, carbanion and free radicals – their stability .

UNIT-V 12Hrs

Liquid State- Surface tension- effect of temperature on surface tension.Parachor-

definitions and applications only- coefficient of viscosity- effect of temperature- effect of pressure.

Liquid Crystals- Types of liquid crystals- theory of liquid crystals -molecular

arrangements in various states of liquid crystals.

Gaseous State- Gas laws from the kinetic theory of gases – kinetic gas equation –

derivation- kinds of velocities-mean, rms, most probable velocity. Calculation of molecular velocity

.Maxwell‘s distribution of molecular velocity (no derivation). Experimental verification of velocity

distribution- effect of temperature on velocity distribution –equipartition of energy – Virial equation

of state - Boyle‘s temperature.

Text Books

40

S.Bahl and ArunBahl, Advanced Organic Chemistry,12th

edition, S. Chand, 1997.

R. D. Madan, Modern Inorganic Chemistry, 2nd

edition, S.Chand& Company

Limited, New Delhi, 1999 .

B.R.Puri,L.R.Sharma&M.S.Pathania,Principles of Physical Chemistry,Millennium

edition, Vishal publishing & Co, 2004.

Reference Books

I.L.Finar, Organic Chemistry Volume I and II,6th

edition, England Addison Wesley

Longman Ltd, 1996.

Kundu and Jain, Physical Chemistry, 1st edition, S. Chand,1990.

W.U. Malik, G.D.Tuli and R.D.Madan,Selected topics in inorganic chemistry, 7th

edition, S.Chand Publications, 2003.

B.R. Puri, L.R. Sharma and K.C.Kallia, Inorganic chemistry,Vallabh Publications,

2003.

R.T. Morrison and Boyd,Organic Chemistry, VI Edition, prentice Hall of India,

New Delhi, 2006.

P. L. Soni, Text book of physical chemistry, 25th

revised edition, Sultan Chand,

2000.

P.L.Soni, Inorganic chemistry, 20th

revised edition, Sultan Chand, 2006.

P.L.Soni,Text Book of Organic Chemistry, 25th


UCHM102 ANALYTICAL CHEMISTRY-I


Category : Core II Hours/ week : 4

Class &Major: I B.Sc Chemistry Total Hours : 52

Objectives:


Acquire manipulatory skills in handling apparatus & instruments

Be aware of the storage, handling of chemicals &analyse the data

Understand the theoretical aspects of qualitative, volumetric analysis & analytical

techniques in chemistry

UNIT-I 8Hrs

Working in Chemistry lab- Introduction –personal protection – nature of chemicals-

toxic, corrosive, explosive, inflammable, carcinogenic , other hazardous chemicals – safe

storing and handling of chemicals – disposal of chemical wastes, glassware – handling of

glassware – handling of different types of equipments like Bunsen burner, centrifuge, Kipp‘s

apparatus etc – ventilation facilities – philosophy of lab safety- first aid techniques – general work

culture inside the chemistry lab- importance of wearing lab coat.

UNIT-II 10Hrs

Data analysis- Types of errors – idea of significant figures and its importance withexamples-

precision- accuracy-methods of expressing accuracy – error analysis – minimizing errors-

methods of expressing precision – average deviation- standard deviation and confident limit.

41

UNIT-III 8Hrs

Inorganic analysis- Principles of acid –baseequilibria , common ion effect an solubility

product and their applications in qualitative analysis . reaction involved in the separation and

identification of cations and anions in the analysis-spot test reagents-aluminon, cupferon -DMG,

thiourea,magneson, alizarin &Nessler‘s reagent ,semi micro techniques.

UNIT-IV 15 Hrs

Principles of Volumetric Analysis- Definitions of molarity, molality, normality & mole

fraction. Definitions&examples for primary&secondarystandards.Theories of acid-base ,redox,

complexometric, iodometric&iodimetric titrations. Calculations of equivalent weights

. Theories of acid-base, redox, metal ion & adsorption indicators, choice of indicators.

Principles of gravimetric analysis-Characteristics of precipitating agents, choice of

precipitants& conditions of precipitation-specific & selective precipitants-DMG, Cupferon,

salicylaldehyde ,ethylene diammine, sequestering agents, precipitation from homogenous

medium, co-precipitation ,post precipitation, peptisation-differences.

UNIT-V 11Hrs

Introduction to Instrumental Methods of Chemical Analysis:-General introduction-

classification of instrumental methods, principle behind each method. Principal application

of analytical techniques- molecular analysis and elemental analysis, method of analytical

analysis.

Text Books

R. Gopalan, P.S.Subramanian&K.Rengarajan- ―Elements of Analytical chemistry‖ – 3rd

revised edition -Sultan Chand & Sons(2003 )

B.K. Sharma - ―Instrumental methods of chemical analysis‖ – 12th

edition, Krishna

Prakashan Media (P) Ltd(2007).

Gurdeep .R. Chatwal Sham .K.Anandh – Instrumental methods of chemical analysis –

Himalaya Publishing House (2005)

Reference Books

P.B. Janarthanam - ―Physical -Chemical techniques of analysis‖ – Vol-I and II Asian

Publications.

pPublications (2007).

B.K. Sharma - ―Instrumental methods of chemical analysis‖ – 12th

edition, Krishna

Prakashan Media (P) Ltd(2007).

A.Skoog, M. West & Holler- ―Fundamentals of Analytical chemistry‖-

8th

editionThomson Brooks/cole publication(2004).

A.Skoog - ―Instrumental methods of analysis‖-7th

sub edition, Wadsworth publishing

company(1988) .

Willard Merritt & Dean – ―Instrumental methods of analysis‖ – 5th

edition, Vannostv&

Reinhold Company (1974).

‖Vogel‘s hand book of quantitative inorganic analysis‖-Longman Publications.

B.R.Puri.,L.R.Sharma&M.S.Pathania- ―Principles of Physical Chemistry‖- Millennium

edition- -Vishal publishing & Co (2004)

42

UCHR203 VOLUMETRIC ANALYSIS (This replaces the syllabus UCHR201 – Inorganic Analysis and preparation found in

Academic Council Booklet – I)

Semester : I& II Credit : 5

Category : Core practical I Hours/Week : 3+3

Class &Major: I B.Sc Chemistry Total hours : 78

Objectives:


Know about the various types of titrimetric analysis

Develop quantitative lab skills

Acidimetry

1. Estimation of sodium hydroxide – standard sodium carbonate.

2. Estimation of borax – std. sodium carbonate.

3 Estimation of bicarbonate and carbonate in a mixture.

Permanganometry

1. Estimation of oxalic acid – standard – Mohr‘s salt or ferrous sulphate.

2. Estimation of calcium.

3. Estimation of ferric ion.

Iodimetry

1. Estimation of iodineVs ascorbic acid.

Iodometry

1. Estimation of copper.

Complexometry

1. Estimation of zinc or magnesium using EDTA.

2. Estimation of Zinc using potassium ferrocyanide.

3. Estimation of temporary and permanent hardness of water.

Dichrometry

1. Estimation of ferrous ion using diphenylamine I N or Phenyl anthranlic acid as indicator.

Reference Books

Vogel‘s Text book of Quantitative Chemical Analysis, 6th

Edition , Pearson

Education Ltd, New Delhi 2008.

A.O. Thomas, Practical chemistry, 2nd

edition, Scientific book center, Cannanore.

V. Venkateswaran, R. Veerasawamy& A. R. KulandaiveluBasic Principles of

practical Chemistry, 2nd

edition, S. Chand & Sons Publications, New Delhi 2004.

43

UCHM201 GENERAL CHEMISTRY-II Semester : II Credit : 5

Category : Core III Hours/ week : 5

Class &Major: I B.Sc Chemistry Total Hours : 65

Objectives:


Gain the elementary knowledge in acids & bases, solid state and metallurgy.

Kknow about the chemistry & appreciate the gradation of properties & the applications

of s block elements

Help to understand the characteristics of alkanes, alkenes, alkynes,

Acquire a basic knowledge on the concepts of stereochemistry of organic compounds

UNIT –I 15Hrs

Acids and Bases-Arrehenius concept, proton transfer theory- conjugate acids and bases-

Influence of solvent on acid strength- Lewis concept. Dissociation of a weak acid . Dissociation

poly basic acids- Dissociation of a weak base, ionic product of water- the pH scale.

Solutions of liquids in liquids: Raoult‘s law-Ideal solutions-deviations in ideal behaviors

vapour pressure – composition and vapour pressure – temperature curves- fractional distillation of

binary liquid solutions ,azeotropicmixtures.Distillation immiscible liquids , solubility of phenol-

water system, aniline –hexane system, triethylamine-water system, nicotine- water system.

Solutions of gases in liquids: Factors influencing solubility of a gas-Henry‘slaw.

UNIT-II 15 Hrs

Alkanes & cycloalkanes- Methods of preparation of alkanes-chemicalproperties-

Mechanism of free radical substitution in alkanes.Preparation of cycloakanes using wurtz‘s

reaction.Dieckman‘s ring closure & reduction of aromatic hydrocarbons. Substitution and ring

opening reactions.

Alkenes: Preparation, properties of alkenes- Electrophilic addition –hydrogen, hydrogen

halide, H2SO4, H2O, hydroboration, ozonolysis, hydroxylation with KMnO4, allylic substitution by

NBS and epoxidation with mechanism. Free radical addition of alkene.

Alkynes: Acidity of alkynes, addition of hydrogen, hydrogenhalide, hypohalous acid,

water with HgSO4 catalyst, alcohol, carboxylic acid and hydroboration. Formation of acetylides,

alkylation of alkynes with mechanism, substitution by halogen, oxidation with KMnO4,

ozonolysis, polymerization to benzene, oxidative coupling, isomerisation

UNIT-III 15 Hrs

Stereo isomerism-Definition –classification into optical and geometric isomerism.Optical

isomerism: optical activity – optical and specific rotations–conditions for optical activity-

asymmetric center-chirality- achiral molecules – meaning of (+) and (-) and D and L notations

– Elements of symmetry.

44

Conformational Analysis: Introduction of terms –conformers – configuration-dihedral

angle-torsional strain-conformational analysis of ethane and n- butane including energy

diagrams .conforms of cyclo hexane(axial and equatorial) mono and di substituted cyclo hexanes-

1,2 and 1,3 interactions.

UNIT-IV 10 Hrs

Alkali metals: Li, Na, K, Rb, Cs. Occurrence, comparative study of elements- oxides,

halides, hydroxides and carbonates. Exceptional property of Li. Diagonal relationship of Li with

Mg.

Alkaline earth metals: Be, Mg, Ca, Sr, &Ba. Occurrence and comparative study of the

elements.- oxides, hydroxides, halides, sulphates& carbonates. Exceptional properties of

Be.Diagonal relationship of Be with Al.

UNIT-V 10Hrs

Metallurgy: Extraction of metals- minerals-and ore difference-ore.dressing or concentration

of ore- types of ore dressing-froth floatation- and magnetic separation refining of metals-types of

refining electrolytic, Van Arkel and zone refining.

Solid state: Crystal lattices-laws of crystallography-elements of symmetry-crystal systems-

unit cell-space lattice-Bravais lattices-structure of NaCl-structure of CsCl-Miller‘s indices.

Text Books

B.S.Bahl and ArunBahl – ―Advanced Organic Chemistry‖ –12th

edition - S. Chand

(1997).

R.D. Madan – ―Modern Inorganic Chemistry‖- 2nd

edition – S.Chand&Company

Limited, New Delhi (1999) .

B.R.Puri.,L.R.Sharma&M.S.Pathania- ―Principles of Physical Chemistry‖- Millennium

edition- -Vishal publishing & Co (2004).

Reference Books

I.L.Finar – ―Organic Chemistry‖ – Volume I and II -6th

edition-England Addison

Wesley Longman Ltd (1996)

P.S.Kalsi-―Stereochemistry‖-3rd

edition, Newage International Publishers.(1995)

P.S.Kalsi-―Stereochemistry,Conformation& Mechanism‖-6nd

edition- Newage

International Publishers.(2005)

Kundu and Jain – ―Physical Chemistry‖ – S. Chand.(1990)

W.U. Malik, G.D. Tuli and R.D Madan – ―Selected topics in inorganic chemistry‖ –7th

edition- S.Chand Publications(2003)

R.T. Morrison and Boyd – ―Organic Chemistry‖ – VI Edition – prentice Hall of India,

New Delhi(2006)

B.R. Puri, L.R. Sharma and K.C.Kallia – ―Inorganic chemistry‖ – Vallabh

Publications (2003).

P. L. Soni – ―Text book of physical chemistry‖ –25th

revised edition- Sultan Chand

(2000)

P.L.Soni – ―Inorganic chemistry‖- 20th

revised edition -Sultan Chand (2006)

P.L.Soni – ―Text Book of Organic Chemistry‖ – 25th

revised edition- Sultan Chand.

45

UCHM302 GENERAL CHEMISTRY-III Semester : III Credit : 5

Category : Core V Hours/ week : 5

Class & Major : II B.Sc Chemistry Total Hours : 65

Objectives:


Know the characteristics of elements of Boron & carbon family

Become aware of aromaticity& mechanism of reactions.

Enable the studentunderstand the thermodynamic basis of chemical reactions

UNIT-I 15 Hrs

Boron family: Group discussion, anomalous behavior of boron, electron deficiency &

electron acceptor behavior of borontrihalides. Bonding in diborane.Preparation, properties, uses &

structure of Borazole, boron nitride.

Carbon family:Group discussion, comparison of properties of C, Si – valency, oxides,

halides, hydrides &oxyacids. Classification, preparation, properties & uses of

carbides.Classification of silicates.Chemistry of silicones.

UNIT-II 10Hrs

Dienes :Types of dienes, stability & chemical reactivity. 1,2& 1,4 addition with

mechanism. Free radical addition, polymerization of dienes. Diels alder reaction. Synthesis of

dienes-1:3 butadiene, isoprene & chloroprene.

Polymerisation: Types of polymerization- free radical, cationic & anionic polymerization

including mechanism. Preparation of polymers- addition polymers & condensation polymers with

example

UNIT –III 18Hrs

Aromaticity: Modern theory of aromaticity- Huckel‘srule[4n+2] & its simple applications.

Aromatic hydrocarbons- Resonance in benzene, delocalized cloud in benzene.

Electrophilic substitution reactions in aromatic compounds: General mechanism- nitration,

halogenation, sulphonation, Friedal Craft‘s acylation & alkylation. Directive influence-

orientation- o/p ratio- nuclear side chain halogenation.

Polynuclear hydrocarbons: Isolation, synthesis, properties and uses of naphthalene, antharacene

and phenanthrene. Structural elucidation of naphthalene.

UNIT –IV 12 Hrs

Terminology in thermodynamics: Definitions: Explanation of terms – intensive &

extensive properties-System, boundary, surroundings- types of system –state variables.

Thermodynamic process- cyclic, reversible, irreversible, isothermal & adiabatic

process.Thermodynamic function – state & path function.

46

First law of thermodynamics:.Concept of heat & work. First law of thermodynamics.- statement

& equation. Cp, Cv relationship. Calculation of W,Q, ∆E & ∆H for the expansion of ideal gases

under reversible, isothermal and adiabatic conditions.

Joule’s law: Joule Thomson effect, Joule Thomson coefficient & its derivation. Inversion

temperature and its significance.

Thermo Chemistry: Bond energy, bond dissociation energy. Calculation from thermo chemical

data, variation of heat of a reaction with temperature-Kirchoff‘s Equation

UNIT-V 10 Hrs

Second law of Thermodynamics: Need for the II law, different forms of statement of II

law, spontaneous process-criteria of spontaneity. Cyclic process.Heat engines.

Carnot’s cycle: Carnot‘s theorem, Kelvin scale of temperature.

Gibb’s free energy: Helmholtz free energy-their variation with temperature, pressure and volume.

Criteria for spontaneity.Maxwell‘s equations and thermodynamic equation of state– Gibbs

Helmholtz equation- derivation and applications.

Text Books

B.S.Bahl and ArunBahlAdvanced Organic Chemistry, 12th

edition,S. Chand , 1997.

R. D. Madan, Modern Inorganic Chemistry, 2nd edition,S.Chand& Company Limited,

New Delhi, 1999.

B.R.Puri.,L.R., Sharma &M.S.Pathania, Principles of Physical Chemistry, Millennium

edition, Vishal publishing & Co (2004)

Reference Books

I.L.Finar,Organic Chemistry, Volume I and II, 6th

edition, England Addison Wesley

Longman Ltd, 1996.

Kundu and Jain,Physical Chemistry, S. Chand, 1990.

W.U. Malik, G.D. Tuli and R.D Madan, Selected topics in inorganic chemistry, 7th

edition, S.Chand Publications, 2003.

B.R. Puri, L.R. Sharma and K.C.Kallia, Inorganic chemistry, Vallabh Publications,

2003.

R.T. Morrison and Boyd, Organic Chemistry, VI Edition, prentice Hall of India,

New Delhi, 2006.





P.L.Soni, Text Book of Organic Chemistry, 25th


UCHR403 INORGANIC ANALYSIS AND PREPARATION (This replaces the syllabus UCHR401 – Volumetric Analysis found in Academic

Council Booklet – I)

Semester : III & IV Credit : 5

Category : Core practical - II Hours/Week : 3+3

Class & Major : II B.Sc Chemistry Total Hours : 78

47

Objectives:


Develop analytical skills in qualitative inorganic analysis and preparative skills in inorganic

preparation.

PART I: INORGANIC ANALYSIS

Analysis of a mixture containing two cations and two anions, one of which will be

an interfering ion. Semi-micro methods using the conventional scheme may be adopted.

Reactions of the following anions to studied: carbonate, sulphide, sulphate, fluoride,

chloride, bromide, nitrate, oxalate, phosphate, borate and chromate.

Reactions of the following cations, to be studied: lead, copper, cadmium, bismuth,

aluminium, iron, manganese, zinc, cobalt, nickel, calcium, strontium, barium, magnesium

and ammonium.

PART II: INORGANIC PREPARATION

1. Preparation of Prussian Blue

2. Tetrammine copper (II) sulphate

3. Hexaamine Cobalt (III) chloride

4 Potassium trioxalato chromate(III)

5 Tris (thiourea) Copper I Chloride

Reference Books

Dr.V.V.Ramanujam, Inorganic semi micro qualitative Analysis,The National Publishing

Company, 1990.

A.O. Thomas, Practical chemistry, 2nd edition, Scientific book center, Cannanore.

V. Venkateswaran, R. Veerasawamy& A. R. Kulandaivelu, Basic Principles of practical

Chemistry,2nd edition, S. Chand & Sons Publicaations, 2004.

UCHA101 CHEMISTRY - I


Category : Allied I Hours/ week : 3

Class &Major: I B.ScBiochemistry Total Hours : 39

Objectives:


Make the students understand the nature of chemical bonding and molecular structure.

Know thebasics in co-ordination chemistry, Stereochemistry & Nuclear chemistry.

Introduce the basic of Thermodynamics and commercial products

UNIT-I 9 Hrs

Chemical Bonding- Molecular orbital theory-bonding-antibonding and non-bonding orbitals.Bond

order. M.O Configurations of H2, He2, N2, O2 &F2 .Diamagenitism&para magnetism.VSEPR

Theory- Shapes of BF3, PCl5, SF6& Xe6.

UNIT-II 9 Hrs

Co-ordination chemistry – Nomenclature. Of co-ordination compounds-werner theory –

chelation –Functions and structure of Haemoglobin and Chlorophyll.

48

Nuclear chemistry- Fundamental particles of the nucleus – nucleon terminology nuclides,

isotopes, isobars, isotones, mirror nuclei. – induced radioactivity – uses of radio isotopes –

nuclear energy – fission – fusion – . Nuclear reactors – accelerators(charged particles).

UNIT-III 7 Hrs

Stereo isomerism- Elements of symmetry, optical activity- Isomerism of lactic acid and

tartaric acid.Racemisation, Resolution, Geometrical isomerism of maleic acid and fumaric acid.

Carbohydrates: Classification- Structure of glucose and sucrose – Properties and uses of

starch- uses of cellulose nitrate- cellulose acetate.

UNIT-IV 7 Hrs

Solutions: solute-solvent-types of solutions with one example each. - Strengths of

solutions- Calculation of Equivalent weights- normality, molality, molarity, molefraction,

percentage by weight & ppm. Preparation of standard solutions .

First law of Thermodynamics- concept of internal energy, enthalpy. Thermochemistry- as applied

to biochemical reactions-second law of thermodynamics- concept of entropy, free energy, criteria

for spontaneity

UNIT -V 7 Hrs

Fertilizers and Manures – Fertilizers- Role of NPK in plants- preparation and uses of

Urea, Ammonium Sulphate , Ammonium Nitrate, Potassium Nitrate & Super Phosphate.

Explosives- preparation and application of TNT, Nitroglycerine – Ceramics-application

of ceramics.

Text Books

B.S.Bahl and ArunBahl, Advanced Organic Chemistry, 12th

edition, S. Chand, 1997.

R. D. Madan, Modern Inorganic Chemistry, 2nd edition, S.Chand& Company Limited,

New Delhi,1999.

B.R.Puri.,L.R., Sharma&M.S.Pathania, Principles of Physical Chemistry, Millennium


Reference Books

W.U. Malik, G.D. Tuli and R.D Madan, Selected topics in inorganic chemistry, 7th

edition,

S.Chand Publications, 2003.

R.T. Morrison and Boyd, Organic Chemistry, VI Edition, prentice Hall of India, New

Delhi, 2006.

B.R. Puri, L.R. Sharma and K.C.Kallia, Inorganic chemistry,VallabhPublications,2003.


revised edition, Sultan Chand,1992.

S.H.Pine, Organic Chemistry, 4th

edition, McGrraw-Hill International Book company,

1986.


revised edition, Sultan.



UCHA201 CHEMISTRY-II

49


Category : Allied II Hours/ week : 3

Class &Major: I B.Sc Biochemistry Total Hours : 39

Objectives:


Understand the basic principles of chromatography.

Acquire basic knowledge on the effect of water in biomolecules.

Enable the students to know about the soil chemistry& CommercialProduct.

UNIT-I 6 hrs

Cataysis- Catalyst- auto catalyst- enzyme catalyst – promoters- catalytic poisoning- active

center-distinction between homogeneous and heterogeneous catalysis-industrial application of

catalysts.

Photochemistry–GrothusDraperslaw,StarkEinstein‘slaw-Quantumyield-photosynthesis,

phosphorescence- fluorescence- chemiluminescence-photosensitization.

UNIT-II 6 hrs

Chemical Kinetics- order and molecularity. First order rate equation –determination of rate

constant of hydrolysis of ester.

Electro chemistry-Specific and equivalent conductivity- their determination effect of

dilution of conductance.

UNIT-III 10hrs

Chromatography – Introduction-Typical separations and applications of column, paper

electrophoresis TLC, gel,gas,HPLC technique as applied to biomolecules.

UNIT-IV 8hrs

Water and its effect on biomolecules– Introduction-water as solvent- proton mobility-ionic

product of water-PH scale-buffering against PH changes in biological system- Henderson

equation – biological buffers.

UNIT-V 9 hrs

Fuels- Calorific value of fuels- Non-conventional fuels- need of solar energy –

Applications- Bio-fuels.

Soil chemistry- Types of soil –effect of Ph on plants- soil fertility pesticides and their

function – Insecticides role of insecticides on plants-green maturing.

Text Books

R. D. Madan, Modern Inorganic Chemistry, 2nd edition, S.Chand& Company Limited,

New Delhi, 1999.

B.R.Puri.,L.R., Sharma&M.S.Pathania, Principles of Physical Chemistry, Millennium


V.K.Srivastava, K.K.Srivastava, Introduction to Chromatography, second edition.

Reference Books

B.R. Puri, L.R. Sharma and K.C.Kallia, Inorganic chemistry,VallabhPublications, 2003.



50



Chang, Raymond, Physical Chemistry with Applications to Biological Systems, Collier

Macmillan International Edition.

JayashreeGhosh,Fundamental Concepts of Applied Chemistry, S.Chand and Company Ltd.,

1st edition, 2006.

UCHA301 CHEMISTRY-III Semester : III Credit : 3

Category : Allied III Hours/ week : 3

Class & Major : II B.Sc Physics Total Hours : 39

Objectives:


Comprehend the important concepts in bonding.

Gain the basic knowledge about the soil chemistry& commercial products..

Impart the knowledge about carbohydrate and amino acid

Understand the principles of Quantum number

UNIT - I 8 hrs

Chemical bonding:Introduction – types of bonds – ionic bond, covalent bond, coordinate

covalent bond, chelation. Intermolecular forces,vander Waals forces , hydrogen bonding .

UNIT-II 8 hrs

Carbohydrates: Classification –structure of glucose and sucrose – properties and uses of

starch – uses of cellulose nitrate – cellulose nitrate – cellulose acetate.

Amino acid:Classification of amino acids- preparation and properties of glycine –

classification of properties based on physical properties and biological function

UNIT–III 7 hrs

Atomic structure :Quantum numbers –n,l,m,s .Pauli exclusion principle.Energy level

diagram ,Hunds rule of maximum multiplicity, stability of half filled & completely filled orbitals.

Shapes of s,p,d,f block elements. Electronic configuration of few elements .

UNIT-IV 8 hrs

Glass: Introduction – physical and chemical properties – characteristics - raw materials –

method of manufacture – formation of batch materials, furnaces- chemical reaction in the furnaces-

some special glasses .Cement: Types of cement – raw materials - reaction in the kiln – setting of

cement – testing of cement – factors affecting quality – mortears& concrete .

UNIT –V 8 hrs

Fertilizers &Manures : Fertilizers –Role of N P K in plants – preparation and uses of urea,

ammonium sulphate , ammonium nitrate , potassium nitrate &super phosphate . Fuels: Calorific

value of fuels – non conventional fuels – need of solar energy – applications- bio fuels -

Explosives:Preparation and application of TNT , Nitro glycerine.

Text Books

51

R. D. Madan, Modern Inorganic Chemistry, 2nd edition,S.Chand& Company Limited,

New Delhi, 1999.

B.R.Puri.,L.R.,Sharma&M.S.Pathania, Principles of Physical Chemistry, Millennium


P.L.Soni,Text book of organic chemistry, 25th


Reference Books

P. L. Soni,Text book of physical chemistry, 25th


S.H.Pine, Organic Chemistry, 4th

edition, McGraw-Hill International Book company,

1986.



UCHR202/UCHR402 VOLUMETRIC& ORGANIC ANALYSIS

Semester : II & IV Credit : 4

Category : Allied Practical Hours/ week : 3+3

Class &Major: I B.ScBiochem& II B.Sc Physics Total Hours : 78

Objectives:


Acquire qualitative skill

Understand the better concepts of organic analysis and quantitative skill in volumetric

analysis.

Volumetric Analysis

1. Estimation of sodium hydroxide standard sodium carbonate

2. Estimation of HCl . using standard oxalic acid

3. Estimation of oxalic acid by KMnO4 using standard oxalic acid

4. Estimation of borax- std sodium carbonate

5. Estimation of Ferrous sulphate – std – Mohrs salt solution

6. Estimation of oxalic acid – std ferrous sulphate

7. Estimation of copper – std pottasium di chromate

8. Estimation of Ferrousion using di phenyl amine as indicator

9. Estimation of zinc or magnesium usingEDTA - Std MgSO4

Organic Analysis :

Reaction of the following functional group

Aldehyde ( Aromatic ), ketone ( Aliphatic & Aromatic), Carboxylic acid ( mono & di) ,

carbohydrate (reducing) & phenol, Aromatic primary amine, Amide &diamide. Systematic

analysis of organic compound containing one functional group & characterization by

confirmatory tests or derivative.

Reference Books

Dr.V.V.Ramanujam, Inorganic semi Micro Qualitative Analysis, The National Publishing

Company, 1900.

52

A.O. Thomas,Practical chemistry, 2nd

edition, Scientific book center, Cannanore, 1999.

Venkateswaran, R. Veerasawamy& A. R. Kulandaivelu, Basic Principles of practical

Chemistry,-2nd

edition, S. Chand & Sons Publications, 2004.

UCHE202 SOLID WASTE MANAGEMENT


Category : NME Hours/ week : 4

Class &Major : I UG Total Hours : 52

Objectives:


Know about the waste management

Become aware of the techniques & technologies involved in waste management

Be aware of the prevention of environmental pollution by proper waste disposal

UNIT –I 8hrs

Solid waste – sources,natures & characteristics,Quantities&qualities,rates of generation and

factors affecting them.potential diseases,nuisances and other problems due to social

wastes.Refractories-characteristics of refractories-properties of refractories,composition and uses

of common refractory bricks.changing nature of solid waste and its impacts on solid waste

management.

UNIT- II 7 Hrs

Solid waste management -Generation, onsite storage,collection,separation,processing and

disposal. Onsite storage methods – containers,their type,size and location,collection systems,

processing methods –recovery and reuse of material and energy.

UNIT- III 10 Hrs

Hazardous and Biomedical waste – Nature of hazardous waste &Biomedical waste -

problem of hazardous waste &biomedical waste. Dangerous waste,waste

records,collection,sorting transport. Dangerous removal waste techniques &technologies.

Solidification, fixation, nitrification, bitumentation and cementation.

UNIT – IV 12 Hrs

Material and energy waste utilization – waste recycling – utilization of metals, glass, paper,

plastics & textile waste. Car wrecks and electrical waste treatment. Thermal waste disposal-

characteristics of waste as fuel.Prevention of waste origin -cleaner production,evaluation,methods

in use, assessment of product life cycle (LCA), eco design, ecologically friendly

products.Environmental system of management.

UNIT - V Theory 10 Hrs+Field Trip 5 Hrs

Industrial waste –waste resources & characteristics, collection systems,sorting, transport

and removal –except food industry. Waste of food industry- waste characteristics from flower –

53

milling industry,marting and brewing industries,sugar, fact of oil industries, preserving wine, yeast

and fermentation industries, milk and meat packing in industry.

Text books:

Benny Joseph- Environmental Studies, Tata McGraw – Hill Publishing Company Limited,

New Delhi 2005.

Nicholas D.K, MeeraAsthana, Envirnomental : Problems and Solutions,

2 nd

Edition, S Chand and Company Limited, New Delhi 2005.

Reference books:

Nicholas .P. Charemisinoff, BulterWorth, Hand Book Of Solid WasteManagement and

Waste Minimisation Technologies, Heinemann (December 27, 2002)

Carlo M. Cipolla, Before the Industrial Revolution: European Society and Economy 1000-

1700, W.W. Norton and Company, London (1980) ISBN 0-393-95115-4

George Tchobanoglous and Frank KreithHandbook of Solid Waste Management, McGraw

Hill (2002)

William D. Robinson, The Solid Waste Handbook: A Practical Guide, John Wiley and sons

(1986)

UCHE203 WASTE MANAGEMENT


Category : NME Hours/ week : 4


Objectives:


Know about the waste management

Become aware of the techniques & technologies involved in waste management

Aware of the prevention of environmental pollution by proper waste disposal

UNIT –I 8hrs Solid waste:Sources,natures & characteristics,Quantities&qualities,rates of generation and

factors affecting them.potential diseases,nuisances and other problems due to social

wastes.Refractories-characteristics of refractories-properties of refractories,composition and uses of

common refractory bricks.Changing nature of solid waste and its impacts on solid waste

management.

UNIT-II 7hrs

Waste Management: Methods of disposal,list of waste disposal incidents,Energy

recovery,Biological Reprocessing,resource recovery,waste handling and transport,four waste

management concept,solid waste policy in India

UNIT-III 7 Hrs theory+3hrs practical

Industrial waste- list of types of waste, water resources &characteristics, collection

systems,list of waste management companies, list of waste management, list of solid waste

treatment technologies, pollution, radioactive waste, recycling, toxic waste.

http://en.wikipedia.org/wiki/Industrial_Revolution

http://en.wikipedia.org/wiki/Special:BookSources/0393951154

http://en.wikipedia.org/wiki/Handbook

54

UNIT-IV 8 Hrs theory+4hrs practical

Water waste- disinfectant, environmental health,waste water collection, waste water

treatment, on-site treatment, reuse of waste water, ecological sanitation, water crisis, water

pollution, water supply and sanitation, sewage collection and disposal.

UNIT-V 9 Hrs theory+6 hrs practical

Waste management- sources of industrial waste water, agricultural waste, iron and steel

industry, mines and quarries, food industry, complex organic chemicals industry, nuclear industry,

treatment of industrial waste water, solid removal, oils and grease removal, removal of

biodegradable organics, activated sludge process, trickling filter process, treatment of other

organics, treatment of acids and alkalis, treatment of toxic materials.

Text Books

Benny Joseph, Environmental Studies, Tata McGraw Hill Publishing Company Limited,

New Delhi, 2005.

Nicholas D.K, MeeraAsthana, Envirnomental: Problems and Solutions,2nd

Edition, S

Chand and Company Limited, New Delhi, 2005.

Reference Books

Nicholas.P. Charemisinoff, BulterWorth, Hand Book Of Solid WasteManagement and

Waste Minimisation Technologies, Heinemann, December 27, 2002.

Carlo M. Cipolla, Before the Industrial Revolution: European Society and Economy 1000-

1700, W.W. Norton and Company, London (1980) ISBN 0-393-95115-4

George Tchobanoglous and Frank KreithHandbook of Solid Waste Management, McGraw

Hill, 2002.

William D. Robinson, The Solid Waste Handbook: A Practical Guide, John Wiley and

sons, 1986.

UCHE302 COSMETICS&DETERGENTS


Category : Non Major Elective Hours/ week : 4

Class & Major : II UG Total Hours : 52

Objectives:


Develop the basic knowledge about commercial products

Gain the practical training in commercial product analysis

Be aware of the quality of the commercial product.

UNIT – I 10 hrs

House hold products- soaps – saponificationof oils and fat. Manufacture of soaps

.Formulation of toilet soaps. Different ingredients used. theirfuctions Medicated soaps . Herbal

soaps. Mechanism of action of soaps .soft soap. shaving soaps& creams . ISI Specification .

55

Testing procedure / limits. Detergents - Anionic detergent – miniature of LAB( linear alkyl

benzene sulponatationon LAB – preparation of acid slurry . different ingredients in the

formulation of detergent powder & soaps.Liquid detergents.foam boosters.AOS(alpha olefin

sulphonates).,cleaning powder.

UNIT-II 12hrs

Cationic detergents-Examples.manufacture and applications.

Non-ionic detergents-Examplesmanufacture of ethylene oxide condensater.Mechanism of action

of detergents.Comparison of soaps and detergents.Biodegradiation-environmental effects.ISI

specifications/limits.

UNIT-III 15hrs theory+practical8hrs

Preparations of cosmetics-manufacture of SLS and SLES.Ingradients.Functions.Different

kinds of shampoos-anti-dandruff,anti-lice,herbal and baby shampoos.Hair dye.Manufacture of

conditions.Coco beraines or coco diethanolamides-ISI specifications.Testing procedures and

limits.Face and skin powders-ingredients,functions.Differents types.Snoes and face

creams.chemicalingaedients used.Antierspriants.Sus screen preparations.UV absorbers.Skin

bleaching agents.Depilatories.Turmeric and neem preparations.vitamin oil.nail polishes-nail

polish removers.Article removers.lipstick,ronghes,eye brow pencils.ingredients and functions-

hazards.ISI specifications.

UNIT-IV 7hrs

Leading firms,brand names,choosing the right product.packing

regulations.Marketing.Licensing-drug license-legal aspects.GMP-ISO 9000/12000-consumer

education.Evaluation of theproduct-advertisement.

Text Books

Bhatia.S.C,Perfumes,soaps,Detergents and cosmetics,Vol.2,CBSPublishers and

Distributors, 2001.

Peter.H.Rossi,Lipsy.W,Howard.E.freeman,evaluation;ASystamaticApproach,Sage

publications,Inc.7th

Edition, 2003.

Reference books

Hand books on soaps,Detergents and Slurry,NIIR,2nd

Edition (2008).

Mithal,BM,saha,RN,VallabhPrakashan,Handbook of cosmetics,new Delhi 2000. .

Milady,Text Book of Cosmetology, Milady publishing, 1994.

56

COURSE PROFILE M.Sc(Chemistry)

LIST OF NON MAJOR ELECTIVE COURSES OFFERED TO OTHER DEPARTMENTS

Sem

ester

Category Course

Code Course Title

Contact

hrs/Week

Credits

Min Max

I

Core-I PCHM101 Organic Chemistry-I 5 4 4

Core-II PCHM102 Inorganic Chemistry-I 5 4 4

Core-II PCHM103 Physical Chemistry-I 5 4 4

Core Practical-1 PCHR201 Organic Practical-I 5 - -

Core Practical-1I PCHR202 Inorganic Practical-I 5 - -

Non-Major Elective

5 4 5

Total 30 16 17

II

Core-IV PCHM201 Organic Chemistry-II 5 4 4

Core-V PCHM202 Inorganic Chemistry-II 5 4 4

Core-VI PCHM203 Physical Chemistry-II 5 4 4

Core Practical-1 PCHR201 Organic Practical-I 5 6 6

Core Practical-II PCHR202 Inorganic Practical-I 5 6 6

Non-Major Elective 5 4 5

Service Learning PCHX201 Vermi composting - 1 1

Total 30 29 30

III

Core-VII PCHM301 Organic Chemistry-III 5 5 5

Core-VIII PCHM302 Inorganic Chemistry-III 5 5 5

Core –IX PCHM303 Physical Chemistry-III 5 5 5

Core Practical –III PCHR301 Physical Chemistry Practical-I 10 6 6

Non-Major Elective Preparatory course for NET/SLET 5 4 4

Total 30 25 25

IV

Core-X PCHM401 Organic Chemistry-IV 5 5 5

Core-XI PCHM402 Inorganic Chemistry-IV 5 5 5

Project PCHP401 Project 15 5 5

Value Education PWSV401 Women‘s studies 5 4 4

Total 30 20 20

Total 120 90 92

Semester Category Course Code Course Title Contact

hrs/Week

Credits

Min Max

57

PCHM101ORGANIC CHEMISTRY – I



Class & Major : I M.Sc Chemistry Total Hours : 65

Objectives:


Know the stability of reactivity intermediate and generation of free radicals in organic

chemistry.

Acquire knowledge of kinetics & reactions mechanism in organic chemistry.

Introduce the advanced reaction mechanism in aromatic and aliphatic compounds.

Know about the structure and reactivity in stereochemistry.

UNIT–I T y p e s of Reactions, Mechanisms and Reactions Intermediates 10 Hrs Typesofreactions:Substitutions,Additions,Eliminations,Rearrangements,

Oxidations and Reductions reactions–a general study.

ReactionMechanisms: Types of mechanisms: Heterolytic, Homolytic and

Pericyclic mechanisms–ageneral study.

Reactionintermediates:Formation,stabilityandstructureofcarboniumions,

carbanions, carbenes, nitrenes and freeradicals.

Free radical reactions: Sandmeyer reaction,Gomberg-Bachmannreaction,

PschorrreactionandUllmannreaction,mechanismofHunsdieckerreaction.

UNIT–II Aliphatic Nuleophilic Substitution Reactions 13 Hrs TheSN

2,SN

1,mixedSN

1andSN

2,SN

iandSETmechanisms.Theneighbouring

groupmechanism,neighbouringgroupparticipationbyΠandσ bonds,anchimericassistance.Nucleop

hilicsubstitutionatanallylic,aliphatictrigonalandvinyliccarbon.Reactivityeffectsofsubstratesstruc

ture,attackingnucleophile,leavinggroupandreactionmedium,ambidentnucleophile,regioselectivit

y.Reactionsinvolvingsubstitutionatcarbondoublybondedtooxygenandnitrogen:Williamsonreacti

on,Von-braun reaction, hydrolysis of esters, Claisen andDieckmanncondensation, Alkylation

and Acylation of active methylene carbon compounds,double bond shift- reactivity, migration of

double bond, keto –enolinterconversation, HVZ reaction, stark- enamine reaction, Halogenation of

aldehydes and ketones and Decarboxylation of Aliphatic acids.

UNIT –III Aromatic Electrophilic Substitution Reactions 13 Hrs

Electrophilic Subtitution- the arenium ion mechanism.Orenitation and reactivity (ortho,

meta and meta directing groups). Typical reactions inclucding Reimer- Tieman reaction,

I NME PCHE101/102 Consumer Chemistry /Industrial

Chemistry 5 4 5

II NME PCHE201/202 Environmental Science/Applied

Chemistry. 5 4 5

58

Vilmesyer – Hack, Gattermann– Koch, Kolbe reaction, Synthesis of di and tri substituted

benzene (symmetrical tribromo benzene, 2- amino 5- methylphenol, 3 nitro, 4- bromobenzoic

acid, 3,4 dibromonitro benzene, 1,2,3 – trimathylbenzene) starting from benzene or any

monosubstituted benzene. Nucleophilicsubistitution- methods for the generation of

Benzyneinterimediate and reactions of aryneinterimediate.Nucleophilic substitution of activated

halides, Ziegler alkylation, Chichibabin reaction.

UNIT–IV Stereochemistry 14Hrs Homotopic,enantiotopic,diastereotopicHatoms,groupsinorganicmolecules.Fischer,Newma

nandSawhorseprojectionsandtheirinterconvertion.Opticalactivityintheabsenceofchiralcarbon–

biphenyls,allenesandspiranes–RandSnotations. Chiralityduetohelicalshape,transcyclooctene.E–

Zisomerismofolefinscontainingonedoublebondandmorethanonedoublebond.Stereospecificandstere

oselectivesynthesiswithsuitable examples,asymmetric synthesis – Crams rule.

UNIT–V Conformational Analysis 15Hrs

Conformationalanalysisofsimplecyclic(chairandboatcyclohexanes)andacyclic(n-

butane)systems,conformationofsimple1,2disubstitutedderivatives–

ethylenechlorohydrinandethyleneglycol,Conformationalanalysisandstereochemicalfeaturesofdisub

stitutedcyclohexanes(1,2;1,3;1,4dialkylcyclohexanes),conformationandstereochemistryofcisandtr

ansdecalins,effectsofconformationonreactivityinacyclicandcyclohexanes,Oxidationandacylationof

cyclohexanols,reductionofcyclohexanones,esterificationandhydrolysisofcyclohexanecarboxylicaci

dderivatives.

Text Books

M.B.Smith, Jerry March,Advanced Organic Chemistry, Johny Wiley & Sons,

6th

Edition, 2007.

ErnestL.Eliel,StereochemistryofCarbonCompounds,T.M.HEdition,

TataMcGraw-HillPublishingCompany,2005.

Reference Books

Peter Sykes, A guide book to mechanism in organic chemistry, Orient- Longmens,

6th

edition , 1996.

Francis A Carey & Richard J. Sundberg, Advanced Organic Chemistry, Part A&B ,

3rd

edition Plemum press 2004.

P.S.Kalsi,OrganicReactionsandMechanisms,SecondEdition,NewAge

International Publishers,2002.

P.S.Kalsi,Stereochemistry–ConformationandMechanism,6th

Edition,

WileyEasternLimited,2005.

S.M. Mukherji&S.P.Singh ,Organic Reactions meachanism,MacMilan India Ltd,

Chennai 2002.

FrancisA.Carey,OrganicChemistry,ThirdEdition,TheMcGraw-Hill

Companies,Inc.,2004.

PCHM102 INORGANIC CHEMISTRY– I


Category : Core – II Hours/ week : 5

59


Objectives:


Acquire knowledge of periodicity and coordination chemistry.

Became aware of role of biological functions and structure in bioinorganic chemistry.

Know about the structure, reactivity and types of reactions carried out in

supramolecular chemistry.

UNIT–I Periodicity 15 Hrs

Atomic Structure and Periodicity:Atom as nucleus withorbital electrons, concept of

wave-functions, quantum numbers andspin, shape of s, p and d orbitals and their radial distribution

functions, electronic configuration of atoms, Aufbauprinciple, Pauli Exclusion Principle, and

Hund‘s rule; Slater‘s rules for the determination of screening constants; arrangement of elements

in Groups in the Periodic Table, s-block, p-block, d-block and f-block elements; periodic

properties, ionic radii, ionization potential, electron affinity, electronegativity (Pauling, Mulliken

and Aflred-Rochnow scales); atomic states and termsymbols.

Bonding and structure: Types of bonds, ionic, covalent, coordinate, double and triple

bonds; orbital symmetry and overlaps, conceptof MO and VB theory, concept of hybridization, the

extent of d orbital participation in molecular bonding; bond energy and covalent radii, concept of

resonance, bond moment and molecular dipole moment; polarizing power and

polarizability,Fajan‘s rules.

UNIT – II Structure And Reactivity Of Metal Hydrides 8 Hrs

Synthesis, Properties And Structures Of Main Groups

Synthesis, properties and structures ofBoron and Silicon compounds:Boron hydrides (small

boranes and their anions, B1-B4), boron nitride, borazines, carboranes, metalloboranes,

metallocarboranes; silicates, silicones, diamond, graphite, zeolites. Nitrogen, Phosphorous,

Sulphurand noble gas compounds: Hydrides, oxides and oxy acids of Nitrogen, Phosphorous,

Sulphur and halogens; phosphazines, sulphur-nitrogen compounds, inter halogencompounds,

pseudo halogens, noble gas compounds.

UNIT – III Crystal Field Theory And Its Spillting 13 Hrs

Electronic Structure Of Transition Metal Complexes: Crystal field theory, crystal field

splitting, application of d-orbital splittings to explainmagnetic properties, low spin and highspin

complexes, crystal field stabilization energy,spectrochemical series, weak and strong field

complexes, thermodynamic and related aspects of crystal fields, ionic radii, heats of ligation,

lattice energies, site preferenceenergies.

VB and MO theory of complexes (quantitative principles involved in complexeswith no pi and

with pi bonding) and ligand filed theories and molecular symmetry, angular overlap model, Jahn

Teller effect, electronic spectra of transition metal complexes, orgaland Tanabe-Sugano diagrams,

charge transfer and d-d transitions, nephelauxetic series.

UNIT –IV Co-Ordination Chemistry 15 Hrs Substitution Reactions in Square Planar Complexes: Substitution reactions in square

planar complexes - the rate law for nucleophilic substitution in a square planar complex, inert and

labile compounds.The trans effect - theories of trans effect - mechanism of nucleophilic

substitution in square planar complexes.

60

Substitution Reactions in Octahedral Complexes: Kinetics of octahedral substitution -

ligand fields effects and reaction rates - mechanism of substitution in octahedral complexes -

dissociative, associative, anation, aquation, conjugate base mechanism-reaction rates influenced by

acid and bases - racemisation and isomerisation - mechanisms of redox reactions - outer sphere

mechanisms - excited state outer sphere electron transfer reactions - inner sphere mechanisms -

mixed valentcomplexes.Application of trans effect. Chelation .Chelating effect and its

application.Stability of complexes.factors affecting stability, HSAB approach.Determination of

stability constants by spectrophotometric.

UNIT – V Bio-Inorganic AndSupramolecular Chemistry 14 Hrs Bioinorganic Chemistry:Transport proteins: Oxygen carriers, metalloenzymes, carbonyl

peptidase, carbonic anhydrase, redox process, iron-sulphur proteins, chlorophyll, salient features

of the photo synthetic process, vitamin B12 role of sodium, potassium, calcium, zinc and copper;

fixation of nitrogen cycle.Anti- cancer drugs and their mechanism of action, Natural and man-

made radio istotopes and their application.

Supramolecular Chemistry: Metallocenes- Electronic structure and bonding in ferrocene-

synthesis – physical and spectroscopic properties of metallocenes- reactions and applications of

metallocenes- multiple decker sandwitch complexes- application of metallocenes in polymers-

non-linear optics- medicine- molecular recognition– catalysis.

Text Books

J.D. Lee, A New Concise Inorganic chemistry,Third Edition, ELBS, 2002.

F.A.Cotton& G.W. Wilkinson, Advanced Inorganic ChemistryJohny Wiley & Sons

2004.

James .E. Huheey,AdvancedInOrganic Chemistry, Harper& Collins, NY, Fourth

Edition, 2005.

Reference Books

F.Basolo& R.G. Pearson, Mechanism of Inorganic reaction, McGrawHill ,1998.

D.F. Shriver, P.W. Atkins, C. H. Langford, Inorganic chemistry, ELBS, 1990.

N.N.Greenwood, A.Earnshaw, Chemistry of the Elements, Second Edition, BH,1997.

S.J. Lippard and J.M.Berg, Principle of Bioinorganic chemistry, University Science,

Mill Valley CA 1994.

W.L.Jolly, Modern Inorganic Chemistry, Second Edition, McGrawHill, 1991.

PCHM103 PHYSICAL CHEMISTRY – I


Category : Core – III Hours/ week : 5


Objectives:


Apply the knowledge of thermodynamics to the students.

Impact knowledge spectroscopy.

61

Know about the potential energy surface in chemical kinetics and different types

reactions involving in surface and catalysis chemistry.

UNIT – I Introduction to Thermodynamics 13 Hrs

Thermodynamics :the second law of thermodynamics, Maxwell‘s relations and

Thermodynamic Equations of state, (Cp-Cv) in terms of Coefficient of Expansion and

Coefficient of Compressibility. Real Systems, Fugacity and Activity, Activity Coefficients and

their Determination. Standard States for Gases, Liquids and Solids and its Applications.

Thermodynamics of Ions in Solution, Free Energies, Enthalpies and Entropies of Ions in

Solutions. Thermodynamic Derivations of Phase Rule, Applications to Three Component

SystemsInvolving Solids and Liquids –Acetic Acid– Chloroform-Water, NaCl-Na2SO4-H2O,

NH4NO3-(NH4)2SO4-H2O.

UNIT- II Classical and Statistical Thermodynamics 13Hrs

Classical Mechanics and introduction to quantum mechanics Lagrange's and Hamilton's

equation of motion, Poisson Brackets.Inadequacy of classical mechanics, Schrodinger's and

Heisenberg‘sformulation of quantum mechanics.Postulates .of quantum mechanics, need for

operators, Linear and Hermitian operators, operator algebra, eigenvalue and eigen

functions,commutation relations.

Statistical Thermodynamics I:BE, FD, MB statistics and distribution, ensembles,

partition functions and molecular partition functions, mean energy

Statistical Thermodynamics II:Residual entropy, heat capacity of mono and

diatomicgases,chemicalequilibrium,Einstein and Debye theories of heat capacity of solids.

Non-equilibrium thermodynamics Postulates and methodologies, linear laws,Gibbs equation,

Onsager reciprocal theory.

UNIT–III ChemicalKinetics 13 Hrs ARRT,Potenital energy surfaces – partition function and activated complex – Eyring

equation – estimation of free energy, enthalpy and entropy of activation and their

significance.Reactions in solutions – effect of pressure, dielectric constant and ionic strength on

reactions in solutions- kinetic isotopes effects- linear free energy relationships- Hammett and Taft

equations.

Acid-Basecatalysis – mechanism of acid- base catalysed reactions – Bronsted catalysis

law.Catalysis by enzymes – rate of enzyme catalysed reactions- effects of substrate concentration,

pH and temperature on enzyme catalysed reactions- reactions- Inhibition of enzyme catalysed

reactions.

UNIT–IV Spectroscopy- I 13Hrs

Interactionofmatterwithradiation–Einstein‘stheoryoftransitionprobability–

Rotationspectroscopy–RigidRotor–Intensityofspectrallines–

Molecularparameterfromrotationspectra-

Effectofisotopicsubstitutionontherotationspectra.Vibrationalspectroscopy–harmonicoscillator–

anharmonicoscillator–Hotbands–selectionrules–Vibrationalspectraofpolyatomicmolecules–

Overtonesandcombinationfrequencies–FermiResonance.

Ramanspectroscopy–Ramaneffect–RotationalandvibrationalRamanSpectra –

MutualExclusionRule.Electronicspectroscopy–progressions and sequences , selection rule, franck

–condom principle, solvent effects, types of electronic tranisitions

62

.

UNIT- V Surface Chemistry and Catalysis 13 Hrs Kineticsofsurfacereactions:Physicalandchemicaladsorption–adsorptionisotherms–

typesofadsorptionisotherms–Langmuiradsorptionisotherm–B.E.Ttheoryformultilayeradsorption–

measurementofsurfacearea–Mechanismofheterogeneouscatalyticreactions–

theadsorptioncoefficientanditssignificance.Kinetics of complex reactions, reversible reactions,

consecutive reactions, parallel reactions , chain reactions, general treatment of chain reactions –

chain length- Rice Herzfeld mechanism- explosion limits. Super fast reactions, relaxation method-

temperature and pressure jump methods- stopped flow and flash photolysis methods.

Text Books

J.Rajaram& J.C. Kuriacose, Thermodynamics for students of Chemistry, LalNagin

Chand, NewDelhi 1986.

R.J.Laidler, Chemical Kinetics, Harber& Row, NewYork, 1987.

C.N.Banwell&E.M.Mccash,Fundamentals of Molecular Spectroscopy, Fourth Edition,

TataMcGraw Hill 2005.

Reference Books

W.J.Moore, Physical Chemistry, Orient Long man,London,1972.

B.C.McClelland, Statistical Thermodynamics, Chapman& Hall,1973.

L.K.Nash, Elements Of Classical & Statistical Thermodynamics, Addison-

Wesley,1970.

J.Rajaram& J.C. Kuriacose, Kinetics & mechanism of Chemical Transformations,

Mcmillan India Ltd 1993.

S.Glasstone, Thermodyamics for Chemist, AffliatedEastWest Press, NewDelhi,1950.

Atkins P.W. ,Physical chemistry, Sixth Edition ,Oxford University Press, 1998.

PCHR201 ORGANIC PRACTICAL –I

Semester : I & II Credit : 6

Category : Core Practical –I Hours/Week : 5+5

Class &Major : I M.Sc Chemistry Total Hours : 130

Objectives:


Develop skills in the Estimation of organic compounds.

Become familiar with advanced organic preparation .

Acquire scientific skills pertaining to drug samples and interpretation of spectra.

I. Preparation involving two or three stages comprising of the following processes.

1. Hydrolysis.

2. Oxidation.

3. Reduction.

4. Nitration.

5. Bromination.

63

6. Rearrangement

II. Estimation 1. Estimation of Phenol .

2. Estiomation of Aniline.

3. Estimation of Ketone.

4. Estimation of Glucose.

5. Estimation of Lactose in milk.

6. Estimation of Iodine ,Sapanification& Acetyl value of an oil.

7. Estimation of Methoxyl group

8. Estimation of Nitro group.

9. Estimation of Caffieine from Tea leaves.

II. Identification of components in a two components mixture & preparation of the

derivatives.

III. Determination of melting point of the given solid substance.

IV. Chromatographic Separations (not asking for examination).

1. Column Chromatography- Separation of Anthracene and Picric acid from anthrancene

picrate.

2. TLC Separation of green leaf pigments.

3. Paper Chromatography- Identification of amino acids.

V. Special Interpretation of organic compounds UV, IR and Mass Spectra of 10 Compounds.

1,3,5-Trimethyl benzene.

Pinacolone.

Cinnamaldehyde.

Pyridine.

Pincoline.

Isopropyl alcohol.

Acteone.

n- Propyl amine.

.Benzyl bromide.

Phenylacetone

Text Book

V.Venkateswaran, R.Veerasawamy&A.kulandaivelu, Basic principles of practical

chemistry,S.Chand& sons publication,1998.

Referrence Books

A.O. Thomas practical chemistry scientific book center , cannanore,1999.

Vogel‘s text book of practical organic chemistry, Longman,1998.

PCHR202 INORGANIC PRACTICAL –I

Semester : I& II Credit : 6

64

Category : Core Practical -II Hours/Week : 5 +5


Objectives:


Impart the knowledge of preparation of inorganic complexes.

Provide skills to separate and analyse the inorganic compounds.

Acquire skills in inorganic estimation.

Know the principle and estimation of metal ions by spectrophotometry.

I. Semi micro qualitative analysis of mixture containing two common and two rare cations.

The following are the rare cations to be included. W, Ti, Mo ,Te, Se, Ce, Th, Zr, V, U,

Li,&Be.

II. Preparation of the following Complexes:

1. Potassium tris (oxalate) aluminate (III) trihydrate

2. Bis (acetyl acetanato) copper (II)

3. Sodium Bi(Thiosulphato) Cuprate( II)

4. Bis(Thiocyanate) pyridine Mangenese (II)

III.Estimation of metal ions by volumetric and Gravimetrical analysis.

1.Estimation of copper and sulphate ion.

2. Estimation of Manganese and Nickel

3.Estimation of copper and Zinc.

4.Estimation of Calcium and Magnesium.

5.Estimation of Manganese dioxide and insoluble material.

IV. Spectro photometry

1. Estimation of Iron.

2.Estimation of Nickel.

3. Estimation of Cobalt.

4.Estimation of Chromium.

5. Estimation of Zinc.

Reference Books

Ramanujam. V, Inorganic semi micro qualitative analysis, The National publishing

Company, 1998.

Thomas A.O, Practical chemistry , second edition, Scientific book center, Cannanore.

Venkateswaran. V .Veerasawamy & Kulandaivelu.A. R, Basic principles of practical

chemistry, S. Chand & Sons publications,1998.

PCHM201 ORGANIC CHEMISTRY – II


Category : Core-IV Hours/ week : 5


65

Objectives:


Apply knowledge of aromaticity& carbonyl compounds.

Attainsound knowledge of spectra, heterocyclics and organic synthesis.

Know about the different typesof rearrangement.

UNIT – I Reactions of Elimination and Carbonyl Compounds 13 Hrs

Elimination Reactions: E1,E2,E1CB mechanism- E1, E2 E1CB Spectrum- orientation of

the double bond- Hoffman and saytzeff rule-comparsion between elimination and substitution.

Typical eliminations reactions – dehydration, dehydrohalogenation and

dehalogenation.Stereochemistry of E2 eliminations in cyclohexane systems.Mechanism of

pyrolytic eliminations.Chugaev and Cope eliminations.Chemistry of Carbonyl Compounds.

Oxidation of Organic compounds with reagents based on peroxides, preacids, ozone, osmium,

chromium, Ruthenium, silver, Dimethyl sulphoxides,Iodine and selenium dioxide(Seo2).

Reduction of organic compounds with reagents based on Boron, Aluminium, Hydrogen,

Hydrazine, Formic acids and dissolving metals.Formation of Enols and Enamine, Michael‘s

reactions, streeoselectiveAldol condensation, Alkylation and Acylation of enolates, Stobbeand

Darzenglyclic ester, aceyloin condensation.

UNIT-IIAromaticity, Molecular Rearrangements 13Hrs

Aromaticity:Aromaticityofbenzenoid,heterocyclicandnonbenzenoidcompounds,Huckelrul

e,aromaticsystemswithpielectroncompoundsotherthansixpielectrons,non–

aromatic(cyclooctatetraene,etc.,)andantiaromaticsystems(cyclobutadiene,etc.,)systemswithmoreth

an10pielectrons-annulenes.

Molecular Rearrangements: A detailed study with suitable examples of the mechanism

of the following rearrangements; Pinacol – Pinacolone (examples other than

tetramethylethylene glycol) – Wager- Meerwein , Demjanov, Dienone – phenol, Favorski ,

Baeyer – Villiger, Wolf, Stevens ( in cyclic systems) Von Richter rearrangements, Baker-

Venkataraman, Benzonic acid, [1,2]&[2,3] Meisenheimer, Hoffman, Curtius, Lossen, Schmidt,

Beckman, Benzidine and Hoffman-Loffer rearrangement.

UNIT – III Heterocyclic Compounds and Reagents in Organic Synthesis 13 Hrs

Heterocyclic Compounds:Nomenclature of hetrocycleshaving not more than one

hetero atomssuch as oxygen,nitrogen&sulphur. Synthesis, reactivity and applications of the

following heterocycles.Pyrazoles,Oxazoles,pyridazines, pyrimidine &pyrazines.

Reagents In Organic Synthesis: Synthesis of simple organic molecules using standard

reaction like acylation and alkylation of enamines and active methylene

compounds.Sulphurylides.

UNIT IV UV & IR Spectroscopy and Their Applications 13 Hrs

UV–Visible spectroscopy:Types of electronic transitions,

Chromophores&Auxochromes, Factors influencing positions & intensity of absorption bands,

Absorption spectra of dienes, polyenes& unsaturated carbonyl compounds, Woodward –

Fischer rules.

IR spectroscopy – vibrational frequencies & factors affecting them, identification of

functional groups, intra & intermolecular Hydrogen bonding, Finger Print Region, Far IR

66

region, Metal Ligand Stretching vibrations.

UNIT V NMR Spectra And Its Applications 13 Hrs Nuclear Spin, Magnetic moment of a nucleus, Nuclear energy levels in the presence of

Magnetic field relative populations of energy levels, Macroscopic magnetization – Basic

principles of NMR experiments – CW & FT NMR – 1H NMR – Chemical Shift & Coupling

constant – Factors influencing Proton Chemical Shift & Vicinal Proton – Proton Coupling

constant, 1H NMR spectra of simple organic molecules such as CH3CH2OH, CH3CHO etc., AX

& AB spin system – Spin decoupling – Nuclear Overhouse effect – Chemical exchange.13

C

NMR – Proton decoupled & Half Resonance 13

C NMR – Factors affecting .13

C chemical shift, 13

C NMR spectra of simple organic molecules. Problem Solving (For molecules with a

maximum no. of C – 10)

Text Books

I.L.Finar, Organic Chemistry,Vol-I&II, Fifth Edition, ELBS Publication,2006.

Michael B. Smith, Organic SynthesisMcGrawHill, International Edition, 1994.

W. Kemp, Organic Spectroscopy, McMillan Ltd.,2001.

R.M. Silverstein, G.D. Bassler&Monsu, Spectrometric Indentification of

OrganicCompounds, John Wiley & Sons, NewYork,2004.

Reference Books

J.Dyer, Applications of Organic Spectroscopy, Prentice & Hall of India,Pvt Ltd.,

NewDelhi,1980.

S.M. Mukerjee&S.P.Singh, Organic Reaction Mechanism, McMillan India

Ltd.,Chennai, 1990.

PCHM202 INORGANIC CHEMISTRY - II


Category : Core-V Hours/ week : 5


Objectives:


Apply knowledge of bonding and structural activity in non- aqueous solvents.

Knowabout the basic principle, classificationand structures of co – ordination and

organometallic compounds.

Enable the students tounderstood about metal – ligand bond and solid- state in

inorganic chemistry.

UNIT- I Structure and Bonding 12 Hrs

HardandSoftacidsandbasesclassifications. AcidBasestrength,hardness,symbiosis,Theoretical

basis of Hardness and Softness,applications of HSAB.RingsPhosphazenes-

Structure,CraigandPeddockmodel,Dewarmodel,polyorganophosphazenes,Polysulphur–

nitrogencompounds.Inorganicpolymers-Silicates-structure,Pauling‘srule,properties,correlation

andapplication;Molecularsleves.PolyacidsIsopolyacidsofV,Cr,MoandW;HeteropolyacidsofMoand

67

W(onlystructuralaspects).

UNIT – II Organometallic Compounds. 15 Hrs

Carbon Donors. Alkyl & aryls metallation, Bonding in Carbonyls &Nitrosyls, Chain &

Cyclic donors, Olefines, Acetylation &Allyl system, Synthesis, Structure & Bonding in

Metallocenes.

Reactions.Association, Substitution, Addition & Elimination reactions, Ligand

Protonation, Electrophilic &Nucleophilic attack on Ligands.Carbonylation, Decarboxylation,

Oxidative addition &Fluxionality.

Catalysis. Hydrogenation of Olefines( Wilkinson‘s Catalyst), Hydroformylation of

olefins using Cobalt or Rhodium catalysts (Oxo process), Oxidation of olefins to aldehydes &

ketones (Wacker process), Polymerisation (Zeigler – Natta catalyst), Cyclooligomerisation of

acetylene using Nickel catalyst ( Reppe‘s catalyst), Polymer bound catalysts.

UNIT-III Solid- State Chemistry 10 Hrs

DefectsinsolidsPointdefects,linedefectsandsurfacedefects;DislocationsNonstoichiometric

compounds;UseofXraypowderdatainidentifyinginorganiccrystallinesolids;detailsforcubicsystems;

StructuresofNiAs,CdI2,Pervoskite,rutile,fluoriteandantifluorite-zincblendeandwurtzite.

UNIT – IV Ionic Model and Principle of Co-Ordination Chemistry 13 Hrs

Ionic Model.

Lattice energy – Born Lande equation – Kapustinski equation – High Tc superconductors –

Solid state reactions – Types & examples

Principles of Co- ordination Chemistry.

Studies of co-ordination compounds in solution – Detection of Complex formation in solution –

Stability constant – Stepwise & Overall formation constant – simple methods ( Potentiometric,

pH Metric & Photometric methods) of determining the formation constants – Factors affecting

stability – Statistical & Chelate effects – Force- d- Configurations.

UNIT -V Theories of Metal Ligand Bonds in Co-Ordinations 15 Hrs

VB theory & its limitations – CFT – Splitting of d-orbitals under various geometries –

Factors Affecting splitting - CFSE & evidences for CFSE (structural & thermodynamic effects)

– Spectrochemical series – Jahn Teller Distortion –Spectral & Magnetic properties of

complexes – Site preferences – Limitations of CFT –Introduction to LFT – MO theory – Sigma

& Pi bonding in complexes – Nephelauxetic Effect – Angular overlap model.

Textbooks

James Huhey, Inorganic Chemistry, Harper & Collins, NY,Fourth Edition,2005.

F.A.Cotton& G. Wilkinson,Advanced Inorganic Chemistry – A Comprehensive

Textbook, John Wiley & Sons, Fifth Edition, 2004.

Reference Books

K.F. Purcell &J.C.Kotz, Inorganic Chemistry,W.B.Saunders Co, USA, 1997.

P.Powell, Principles of Organometallic Chemistry, Chappman& Hall, 1998.

G.S.Manku, Theoretical principles of Inorganic Chemistry, McGraw Hill, Education,

1984

M.C.Day& J. Selbin, Theoretical Inorganic Chemistry,VanNostrand Co,NY,1994.

68

W.U.Malik,G.D.Tuli,R.D.Madan, Selected Topics in InOrganic Chemistry,

S.Chand& Co,NewDelhi,1992.

PCHM203 PHYSICAL CHEMISTRY - II


Category : Core-VI Hours/ week : 5


Objectives:


Apply the knowledge of different chemical reaction occurring in photo and

electrochemistry.

Understand about the fundamental of group theory and its application.

Know the basis of Quantum chemistry.

UNIT I Introduction To Photochemical Techniques In Chemical Aspects 10 Hrs

Absorption & Emission of Radiation – Frank- codon principle – Decay of electronically

excited states – Jablonski diagram – Radiative& Non- Radiative processes –Flurocescence,

Chemiluminensence& phosphorescence – Spin Forbidden radiativetransition – Internal conversion

& Intersection crossing (ISC) – Energy transfer process – Excimers&exciplexes – Static &

Dynamic quenching – Stern-Volmer Equation.

Experimental Methods In Photochemistry - Quantum Effeciency and life time measurements –

steady state principle – Quantum yield and chemical actinometry- kinetics of photochemical

reactions – hydrogen and halogen reactions, photo redox , photo substitution, photo isomerization

and photo sentizied reactions- photo voltaic and photo galvanic cell, photo electro chemical cell,

photo assisted electrolysis of water, aspectsof solar energy conversation

UNIT- II Introduction , principle and reactions of electrochemistry 13 Hrs Introduction to electrochemistry- Mean ionic activity & Mean ionic activity coefficient –

activity co-efficient of strong electrolytes- determination of activity co-efficient by

electrochemical methods. Debye- Huckel limiting law- qualitative and quantitative verifications-

limination of Debye –Huckel limiting law at appreciable concentrations of electrolytes- Debye-

Huckel- Bronsted equations.

Reactions and structures of electrochemistry- Electrolode- electrolyte interface- adsorption at

electrified interface- electricial double layer – electro capillary phenomenon – Lippmann equation-

structure of Helmholtz double layer – Perrin , Guoy, Chapman &sterin model of electrical double

layers.

Diffusion – Fick‘s law of diffusion – effect of ionic association on conductance – electro kinetic

phenomena – membrane potential.

UNIT- III Kinectic of electrode process 12 Hrs

Essential of electrode reactions – current density – over potential,Tafelequation,Butler-

Volmerequation.Standard rate constant(Ko) and Transfer Co-efficient(a),exchange current.

69

Irreversible Electrode process- criteria of irreversibility,Information from irreversibile wave.

Methods of determining kinetic parameters for quasi- reversible and irreversible waves-

Koutecky‘smethods,Meits Israel method, Gellings methods.

Electro Catalysis Chemical catalysts and electrochemical catalysts with special reference

to Porphyrin oxides of rare earths. Electro catalysis in simple redox reactions, In reaction involving

adsorbed species- influence of various parameters.

UNIT- IV Quantum Chemistry – I 15 Hrs

Inadequacy of classical mechanics, Black body radiation, Planck‘s

quantumconcept,Photoelectric effect. Bohr‘s theory of hydrogen atom :Hydrogen spectra,

Wave-particle dualism, Uncertainty principle, Inadequacy of old quantum theory.

Schrödinger equation, Postulatory basis of quantum mechanics. Operator algebra:

operator, linear and hermitian, eigen functions and eigen values, angular momentum

operator, commutation relations, related theorems. Applications of wave mechanics to simple

systemsparticleinabox,oneandthreedimensional,distortionoftheboxandJahnTellereffect,quantuint

energy, orthogonalisation and normality, finite potential barrier – tunneling.

UNIT- VConcepts and Applications of Group Theory15 Hrs

Elements of group theory-Definition-group multiplication tables- conjugate classes-

conjugate and normal sub groups- symmetry elements and operations-point groups-assignment of

point groups to molecules. Matrix representation of geomentric transfo5rmation and point groups.

Reducible & Irreducible representations- properties of irreducible representation-direct product-

symmetry adapted linear combinations-projection formula. Orthogonality theorem and it‘s

consequences-construction of character table for C2v &C3v-hybrid orbitals in non-linear

molecules(CH4,XeF4,BF3,SF6 & NH3)Determination of represantations of vibrational modes non

linear molecules ( H2O,PCl5,BF3 and NH3).Symmetry selection rules of infra red and Raman

spectra.

Text Books

K.K.Rohatgi, Mukerherjee, Fundamentals of Photochemistry. Wiley Eastern Ltd, 2004.

S.Glasstone, Introductionto Electrochemistry,AffliatedEastWest Press,NewDelhi,1999.

K.V.Ramakrishnan, & M.S. Gopinath, Group Theory inChemistry, Vishal

Publications,2004.

Reference Books

N.Thinham, Group Theory & Quantum Mechanics, McGrawHill book Company, NY,

1999.

F.A.Cotton, Chemical Applications of Group theory, John Wiley, NewYork, 2002.

R.P. Wayne, Photochemistry,Butterworths, London, 1999.

J.G.Clavert& J.N Pitts, Photochemistry, Wiley, London, 1999.

D.R.Crow, Principles & Applications to Electrochemistry,Chappman& Hall,2002.

R.J.Laidler, Chemical Kinetics,Harber& Row, NewYork, 2005.

PCHE101 CONSUMER CHEMISTRY

Semester :I Credit : 4

Category :Non-Major Elective Hours/Week : 5

70


Objectives:


Impart the knowledge of chemistry of daily consumer products and needs.

Provide the basic knowledge of chemistry involved in leather & Sugar industries.

Instill the knowledge of chemistry involved in batteries & dairy chemistry

UNIT-I Batteries And Capacitors 13 Hrs

Primary batteries – Principles (Anode, Cathode, Electrolyte and its electrochemistry) .

Daniel Cells - Dry Cells – Alkaline primary batteries-button cells. Secondary Batteries – Lead

acid batteries (tubular and sealed) Ni-Cd batteries. Application of primary and secondary batteries

Capacitors – principles, function and its applications.

UNIT – II Leather Chemistry 13 Hrs

Introduction – Composition of Leather - Tanning process – pretanning process (soaking,

wetting , Liming and pasting , Deliming , Bating, Pickling , Depickling .) Types & classification

of- vegetable tanning - Mineral Tanning - synthetic Tanning – Principles, process, application , of

Dyeing and dye fixation –Treatment of tannery effluents – Activated sludge treatment .

UNIT – III Soaps And Detergents 13 Hrs

Soap: Definition – General consideration in soap making – manufacture of soap – toilet

and transparent soaps. Dyes: Definition – classification of dyes – Based on chemical constitution –

and Mode of Applications – Examples for each Class - uses .Detergents: Definition –

classification of face active agents – anionic detergents - - cationic detergents – shampoo – raw

materials.

UNIT – IV Sugar Chemistry And Bio-Technology 13 Hrs

Sugar Chemistry :Cane Sugar- manufacture of white crystalline sugar-extraction of

juice from fibre-lime defection process-clarification by sulphanation and carbonisartion-

crystallisation-sugar manufacture flow diagram.

Biotechnology :Definition-environmental biotechnology-biotransformation-

biodegradation-synthesis of bioorganic acids-citricacid–uses of citric acid. Bioremediation-types,

approaches, advantages, disadvantages.

UNIT - V Dairy Chemistry 13 Hrs

Definisation-composition-pasturisation-sterllisation-homogenisation-components of milk-

milk products(cream, butter, ghee, ice-cream, milk powder &kova)-grades of milk(Ultra heat

treatment)- skimmed milk,cream milk.

Text Books

Dr.P.N.Sudha, Prof.A.DineshKarthik, Industrial Chemistry, Supra Associates,

Vellore.

Prof.P.N.Sudha, Applied Chemistry, Supra Associates, Vellore.

Reference Books

71

Puri, Sharma, Pathania, Principles of Physical Chemistry, Vishal Publishing Co.,

2004.

JayashreeGhosh, Fundamental Concepts of Applied Chemistry, S.Chand, New

Delhi,2008.

PCHE102 INDUSTRIAL CHEMISTRY Semester : I Credit : 5

Category : Non-Major Elective Hours/Week : 5

Class &Major : I PG Total Hours : 65

Objectives:


Impart the knowledge of chemistry involved in preparation of paints, pigments &

dyes.

Enlighten students about the chemistry involved in ceramics & for polymer

industries.

Provide the knowledge of chemistry involved in drugs, glasses & composites.

UNIT – I 13Hrs

Paints: Paint – definition – classification of paints based non their applications –

constituents –

Requisites of a good paint

Pigments: Definition – composition, characteristics and uses of white lead, Zinc oxide

Lithopone and TiO2 – Blue pigments – Ultra marine blue – characteristics – uses. Red pigments–

red lead –characteristics and uses. Green pigments – chrome green, Guigwet‘s green and

chromium oxide – characteristics and their uses.

Varnishes: Definition – constituents of varnish – characteristics of a good varnish – uses

– Japans varnish . Enamel – definition – Types – Ingredients and u

UNIT – II 13 Hrs

Ceramics: Definition, classification of ceramics, general properties of ceramics –

permeable (porous) and impermeable (non porous wares) – Basic raw material – Manufacture -

applications of colour to pottery.

Glass : Definition – physical and Chemical properties of glass – raw materials –

Manufacture - types of glasses.

Cement: Raw materials – Portland cement – composition – types of Portland cement –

Manufacture –Uses of Cement – Cement Raw Materials in India – Growth of Cement Industry in

India.

UNIT – III 13 Hrs

Industrial Polymer:Natural rubber , synthetic rubbers rayons protein fiber,Nylons 6,6 ,

polyethylene vinyls ,moulding of plastics ,casting of films , calendaring , polypropylene

,polystyrene , polyacrylonitrile , polymethyl methacrylate, polyesters ,resins , composites FRP

(Fiber reinforced plastics )

UNIT – IV 13 Hrs

72

Drugs: Definition sources of drugs – some important drugs – aspirin – phenacetin –

paracetamol – penicillin – chlormycetin – (structure and preparation not necessary)

Organic diagnostic reagents – definition – uses – sodium diatrizoate, phenol red Evans

blue, Indigo carmine, methylene blue, xylose, Histamine and sodium benzoate (structure and

preparation not necessary) – uses.

Organic pharmaceutic acids – Definition – preservatives – antioxidants – flavouring

agents – colouring agents – sweeting agents - Emulsifying agents and stabilising agents –

examples for each class – uses (structure and preparation not necessary)

UNIT – V 13 Hrs

Refractories : Introduction, Classification – Properties – Manufacture – Fire clay bricks –

manufacture –Uses

Adhesives: definition – classification of adhesives – animal glue – preparation- uses –

protein adhesives - starch adhesives – preparation – uses.

Enamels: Introduction - Raw Materials – Manufacture and Applications

Explosives: Definition – Classification – Characteristics of explosives – Nitro cellulose,

T.N.T. Picric acid, Gun Powder, Cordite and Dynamite.

Text Books

B.N. Charabarthy ,Industrial Chemistry, 1st Ed., Oxford and IBh Publishing. New

Delhi.

B.K. Sharma,Industrial Chemistry, 1st Ed., Goel Publication, Meerut. 1983,

Reference Books

V.P. Gowariker and N.V. Viswanathan,Polymer Science, 1st Ed., Wiley Easter Pvt.

Ltd., New Delhi.2001.

Ghosh, Jayashree ,Text Book of Pharmaceutical Chemistry, 3rd

Ed., ,S.Chand& Co.

Ltd., New Delhi, 1999

Lakshmi. S ,Pharmaceutical Chemistry, 3rd

Ed., Sultan Chand & Sons, New Delhi,

1995.

Krishnamoorthy, P. Vallinayagan& K. Jaya Subramanian ,Applied Chemistry, 2nd

Ed.,

Tata MaGraw-HillPublishing Co. Ltd., New Delhi,2001.

PCHE201 ENVIRONMENTAL SCIENCE Semester :II Credit : 4


Class &Major: I PG Total Hours : 65

Objectives:


Impart the knowledge of Environmental impact in the society

Create the awareness of environmental effects & remedial measures.

Provide the basic knowledge of chemistry involved in environment.

UNIT – I Ecology 13 Hrs

Ecosystem ; Biome & ecosystem ; Energy flow through the ecosystem ; Food chain&

73

webs ; Ecological pyramids ; Biological Magnification Hydrologic Cycle, carbon cycle, oxygen

cycle, nitrogen cycle, phosphorus cycle, sulphurcycle,forest ecosystem,

UNIT-II Energy Resourse 13 Hrs

Global Energy Consumption ,Conventional sources of energy for Man- kind, Biomass or

Dried organic matter, Fossil Fuels or Coal , Oil and Natural gas, Nuclear energy -Nuclear Power

Generation ,The Potential of Fusion Reaction, Hydro Electric power

The Dependence of Human Society on Fossil Fuels. Non –Conventional energy sources .

Alternative sources of energy for man -kind ,Wind power , Energy from oceans - Tidal Energy,,

Energy of waves,Thermal energy of oceans. Geo – thermal energy . Direct use of solar energy

,Bio- mass based energy- Bio –gas, petroplants, Dendrothermal Energy. Hydrogen as the future

fuel.

UNIT-III Pollution By Hydro Carbon 13 Hrs Oil spills, Natural oil seeps , Problem Associated with crude petroleum pollution ;-Light

and medium Fraction of crude oil . Heavier Fraction , Greases ,Waxes and Tar. Ecological

problems caused by crude Petroleum,Fate of crude petroleum in marine environment ,

Oil spill Cleaning operations.

UNIT-IV Solid Waste Management 13 Hrs Management of solid wastes Resistant to Degradation ;(1)Handling of the problem of

Leachates (2) Disposal of solid wastes Resistant to Degradation (i) Incineration (ii) Pyrolysis and

verification of solid wastes (iii) Microbial Degradation (iv) Sorting and Recycling of solid wastes

resistant to degradation

UNIT – V Science Of Environment 13 Hrs

Introduction , Method of Expressing , Pollutant concentration , Particle Dispersion ,

Stoichiometry , Acid – Base Reaction , Colloaids , Mass balance Reactor for waste Treatment

,Basics of Microbiology ,Environmental Quality Objective, Policies on Development project and

their impacts .

Text Books

D.K .Asthana&MeeraAsthana, Environment: Problems and solutions, S. Chand &

company,DELHI .

Benny Joseph, Environmentalstudies, Tata McGraw Hill, DELHI.

Reference Book

Environmental Studies, Bharathidsan University Pub,Trichy,2008.

Rajamannar, Environemntal Studies, Evr College Pub, Trichy. 2004

Kalavathy.S.,Environmental Studies, Edition 2004, Bishop Heber College Pub,

Trichy,2008.

PCHE202 APPLIED CHEMISTRY Semester : II Credit : 5


Class &Major : I PG Total Hours : 65

74

Objectives:


Provide basic knowledge in chemistry involved in daily life

Impart the knowledge of food and nutrition

Instill the knowledge of chemistry in involved in pharma drugs

UNIT-I 15 Hrs General survey of chemicals used in everyday life. Cosmetics –talcum power, tooth paste,

Shampoo, Nail polish, perfumes, Soaps and detergents, - General formation and preparation –

hazards of cosmetic use.

UNIT – II 15 Hrs

Food and nutrition – carbohydrates, proteins, fats, minerals and Vitamins – Definition,

sources and their physiological importance – balanced diet. Adulterants – in milk, ghee, oil, coffee

powder, tea, asafoetida, chilli powder, pulses and turmeric powder – identifications.

UNIT – III 15 Hrs

Chemicals in food production – Fertilizers in used in natural sources – Fertilizers – urea,

NPK and super phosphates – needs, uses and hazards

UNIT- IV 15 Hrs

Plastics, polyethene, PVC, Bakelite, Poly esters, resins – properties and applications.

Natural Rubber, synthetic rubber- vulcanization – definition and its applications – Color chemicals

used in food – soft drinks- and its health hazards.

UNIT – V 15 Hrs

Pharmaceutical drugs – analgesics and antipyretics – antibiotics – definition, examples and

its applications. Antiseptics – disinfectants, definition, examples and applications. Explosives –

classification and its examples.

Text Books

B.K. Sharma, Industrial Chemistry, 1st Ed, Goel Publication, Meerut.1983.

B.N. Charabarthy, Industrial Chemistry, 1st Ed., Oxford and IBh Publishing, New

Delhi,2001.

Reference Books

V.P.Gowariker and N.V. Viswanathan,Polymer Science, 1st Ed., Wiley Easter Pvt. Ltd.,

New Delhi, 1997.

Ghosh, Jayashree, Text Book of Pharmaceutical Chemistry, 3rd

Ed., S.Chand& Co. Ltd.,

New Delhi,1999.

Krishnamoorthy, P. Vallinayagan& K. Jaya Subramanian Applied Chemistry, 2nd

Ed., Tata

MaGraw-HillPublishing Co. Ltd., New Delhi,2001.

VERMICOMPOSTING

75


Category : Service Learning Total Hours : 40 Hrs

Class &Major : I M.Sc Chemistry

Target Group : Villagers in the age Group of 20-50yrs

Objectives:


Create awareness about utilization of Naturalfertilisers to the society.

Implement Vermicomposting at a small scale.

UNIT – I Introduction 8 Hrs

Definition – Usage – Advantage of Over Artificial Fertilizers,Ingredients

Activity: Spreading awareness on Vermicomposting

UNIT – II Bio-Degradable &Non Biodegradable 8 Hrs

Introduction ,Organic waste , Difference in Biodegradable & non-biodegradableCommon

items suitable for Biocomposting : Clean Paper, Dried net, Egg Shell, Leaves Garden Trimming,

Fruits & vegetables wastes, Coffee & Tea extract. ActivitySeparation & Collection of

Biodegradable & non-Biodegradable.

UNIT – III Vermi Growth 8 Hrs

Earthworm – Introduction-Nature of Soil required – Easily usable waste – Factors affecting

growth of the Vermi.ActivityVermi Growth in Soil-Earthworm

UNIT - IV Vermicomposting Method 8 Hrs

Grub composting – Compost Tea – Humanure – Vermicompost – Bokashi

compostingCommon. ActivityCarrying out the Methods & Identifying the most effective method

to be used

UNIT – V Feedback & Result From Society 8 Hrs

Evaluation of Results & difference in Plant growth with Vermicompost oral & written

feedback from VillagersActivity Measurement of Plant Growth

Assessment of utilization of household waste.

References

P.M.; Thompson, S.A.; Das, K.C.. Bioresource Technology,1998.

Nancarrow, Loren and Janet Hogan Taylor. The Worm Book Ten Speed Press, 1998.

Logsdon, Gene. Worldwide Progress in VermicompostingBiocycle, October, 1994.

76

RESEARCH DEPARTMENT OF MATHEMATICS

Preamble

UG: Course profile, list of courses offered to other departments & the syllabi of courses offered in

the first three semesters (with effect from batch 2012-2015 onwards)

PG: Course profile, list of courses offered to other departments & the syllabi of courses (with

effect from batch 2012-2015 onwards)

are presented in this booklet.

COURSE PROFILE B.Sc. (Mathematics)

Semester Part Category Course code Course Title Contact Hrs/

week

Credit

Min Max

I

I Language UTAL103/UTAL104/

UHIL101/UFRL101

Basic Tamil-I/ Advanced

Tamil-I/ Hindi-I / French-

I

4 2 3

II English UENL105/

UENL106

Basic English-I/

Advanced English-I 4 2 3

III Core I UMAM101 Algebra and

Trigonometry 6 5 5

III Core II UMAM102 Calculus 6 5 5

III Allied UMAA109 Mathematical Statistics

–I 6 5 5

IV Value

Education 2 1 1

IV Soft Skill USKS101/

USKS102

Communication skills /

Effective Communication

Skills 2 1 1

TOTAL 30 21 23

II


UHIL201/UFRL201

Basic Tamil-II/

Advanced Tamil-II/

Hindi-II /French-II

4 2 3

II English UENL205/

UENL206

Basic English II/

Advanced English II

4 2 3

III Core III UMAM203

Vector Analysis, Laplace

Transform and Fourier

Series

5 5 5

III Core IV UMAM202 Analytical Geometry of

3D 4 4 4

III Allied UMAA207 Mathematical Statistics

–II 5 4 4

III Internship UMAI201 Summer Internship - - 1

IV Non Major

Elective 4 2 2

77

IV Value

Education 2 1 1


USKS202

Spoken English/

Presentation Skills 2 1 1

V

Extension

Programme

/Physical

Education

- 1 2

TOTAL 30 22 26

III


UHIL301/UFRL301

Basic Tamil-III/

Advanced Tamil-III/

Hindi-III /French-III

4 2 3

II English UENL305/

UENL306

Basic English-III/

Advanced English-III 4 2 3

III Core V UMAM302 Differential Equations 4 4 4

III Core VI UMAM303 Statics 4 4 4

III Allied UCSA303 Mathematical

Programming in C 3 3 3

III Allied

Practical UCSR305

Mathematical

Programming in C -Lab 3 2 2

IV Non Major

Elective 4 2 2

IV Value

Education 2 1 1

IV Soft Skill USKS301 Personality Development 2 1 1

V

Extension

programme/Ph

ysical

Education

- - -

TOTAL 30 21 23

IV


UHIL401/UFRL401

Basic Tamil-IV/

Advanced Tamil-IV/

Hindi-IV/French-IV

4 2 3

II English UENL405/

UENL406

Basic English-IV/

Advanced English-IV 4 2 3

III Core VII UMAM402 Graph Theory 4 4 4

III Core VIII UMAM403 Dynamics 5 5 5

III

Allied UPHA402 Electronics for

Mathematics 3 3 3

Allied Practical UPHR404 Electronics for

Mathematics Practical 2 2 2

III UMAI401 Summer Internship - - 1

IV Non Major

Elective 4 2 2

IV Value

Education 2 1 1

IV Soft Skill USKS401 Life Coping Skills 2 1 1

V

Extension

programme/

Physical

Education

- - 2

TOTAL 30 22 27

V III Core IX UMAM501 Modern Algebra 5 5 5

III Core X UMAM505 Sequence and Series 4 4 4

78

COURSES OFFERED TO OTHER DEPARTMENTS-UG

ALLIED & ALLIED OPTIONAL

Semester Part Category Course Code Course Title Contact Hrs/ week Credit

Min Max

I

III

Allied

UMAA110 Mathematical Methods I 6 5 5

UMAA104 Algebra, Differential Calculus and

Trigonometry

5

5

5

II

UMAA216 Mathematical Methods II 6 5 5

UMAA210 Mathematics for computer Science 6 4 4

UMAA212 Fundamentals of Mathematics 5 5 5

UMAA214 Business Mathematics 4 4 4

III

UMAA306/

UMAA102

Algebra, Differential Calculus and

Trigonometry 6 5 5

IV

UMAA404 Resource Management Techniques 5 4 4

UMAA406/

UMAA202

Integral Calculus, Laplace Transform

And Ordinary Differential Equations 5 5 5

V UMAA510 Quantitative techniques for Business 5 5 5

III Core XI UMAM506 Number Theory 4 4 4

III

Allied UCSA507 Object Oriented

Programming Using C++ 3 3 3

Allied Practical UCSR508

Object Oriented

Programming Using C++

- Lab

3 2 2

III Allied Optional 5 4 4

IV Non Major

Elective 4 2 2

IV Soft Skill USKS501 Job Skills 2 1 1

TOTAL 30 25 25

VI

III Core XII UMAM602 Complex Analysis 5 5 5

Core XIII UMAM603 Operations Research 4 4 4

III Core XIV UMAM604 Linear Algebra 5 5 5

III Core XV UMAM605 Real Analysis 5 5 5

III Core XVI UMAM606 Discrete Mathematics 4 4 4

III Major optional

UMAO604

LaTeX and MATlab

5 4 4

UMAO605 Numerical Methods with

C++

III Viva - Voce UMAC601 Comprehensive Viva - 1 1

IV Soft Skill USKS601 Career Skills 2 1 1

V

Extension

programme/

Physical

Education

- - 2

TOTAL 30 29 31

GRAND TOTAL

180 140 155

79

V Allied

Optional

UMAA502/

UMAA508

Astronomy/ Mathematical

Foundation 5 4 4

Non-Major Elective

UMAM101 ALGEBRA AND TRIGONOMETRY


Category : Core I Hours/ Week : 6

Class & Major : I B.Sc Mathematics Total Hours : 78

Objectives

To enable the Students

Understand the fundamentals.

Develop analytical skills.

Develop computational skills.

UNIT – I THEORY OF EQUATIONS 16 Hrs Equation whose roots are imaginary roots and irrational roots – The negative of the roots of

the given equation. The roots of the given equation multiplied by the constant ‗k‘.

UNIT-II APPLICATIONS OF THEORY OF EQUATIONS 16 Hrs

The roots of the given equation each increased or decreased by ‗h‘- The reciprocals of the

Semester Part Category Course Code Course Title Contact Hrs/ week Credit

Min Max

II

IV

Non Major

Elective

UMAE202 Mathematics for Business and

Decision Making 4 4 4

UMAE204 Basic Mathematics 4 2 2

UMAE206 Mathematics for Decision Making 4 2 2

III

UMAE302 Numerical Methods using C++ 4 4 4

UMAE304 Numerical Methods 4 2 2

IV UMAE402 Operations Research for Managers 4 4 4

UMAE404 Operations Research for Managers 4 2 2

V

UMAE502 Mathematics for Competitive Exams 4 4 4

UMAE504 Preparatory Course for TANCET

Exams 4 2 2

80

roots of the given equation. Descartes‘ Rule of sign – Horner‘s method of approximation of the

roots.

UNIT-III HYPERBOLIC FUNCTIONS 15 Hrs Hyperbolic functions: Definitions – Relation between circular and hyperbolic functions.

Inverse hyperbolic functions.

UNIT-IV PROPERTIES ON CIRCLE 15 Hrs

Resolution into factors – De Moivre‘s property on the circle and Cote‘s property on the

circle, Logarithm of complex quantities.

UNIT-V SUMMATIONS OF THEORY 16 Hrs

Summation of Trigonometric series – Method of differences – Gregory series – Eulers

series.

Text Book

Narayanan.S & Manicavachagom Pillay.T.K, Trigonometry, Vishwanathan.K Printers &

Publishers Pvt Ltd., Chennai, 1994.

Narayanan.S & Manicavachagom Pillay. T.K , Algebra, Viswanathan.K Printers and

Publishers Pvt. Ltd., Chennai, 2004.

UMAM102 CALCULUS


Category : Core II Hours/Week : 6

Class & Major : I B.Sc Mathematics Total Hours : 78

Objectives

To enable the Students

Provides geometrical applications of integration and differentiation.

UNIT-I DIFFERENTATION 16 Hrs N

th derivative – Leibnitz‘s theorem [without proof] and its application – Jacobians – Total

Differential – maxima and minima functions of 2 and 3 independent variables, Lagrange‘s Method

[without proof ] ,problems on this concepts.

UNIT-II RADIUS OF CURVATURE 16 Hrs

Curvature, Radius of curvature in Cartesian and polar co-ordinates, p-r equation Evolutes.

UNIT-III ENVELOPE AND ASYMPTOTES 16 Hrs

Envelope, Asymptotes, Methods of finding asymptotes of rational algebraic curves with

special cases.

UNIT-IVREDUCTION FORMULAE 15 Hrs Reduction formulae – Beta and Gamma functions – Properties and problems.

81

UNIT-V INTEGRATION 15 Hrs

Double integrals –Triple integrals – Applications to Area and Volume.

Text Books

Narayanan.S & Manicavachagom Pillay.T.K, Calculus, Viswanathan.S Printers and

Publishers, Pvt. Ltd, Chennai 2004.

Reference Books

Shanti Narayan, Integral Calculus, S.Chand and Co., New Delhi, 2001.

UMAM203 VECTOR ANALYSIS, LAPLACE TRANSFORMS AND FOURIER SERIES

(Replaces the syllabus UMAM 201 Vector and Fourier Analysis found in Academic Council

Booklet I)


Category : Core III Hours/Week : 5

Class & Major : II B.Sc Mathematics Total Hours : 65

Objectives


Familiarize the concept of magnitude and direction.

Introduce the concepts and applications of line, surface and volume integral.

Develop understanding of key concepts followed by problems of applied nature.

UNIT-I VECTOR DIFFERENTIATION 13 Hrs

Differentiation of vectors –Velocity and Acceleration – Scalar and Vector Point functions–

Vector Identities

UNIT-II GRADIENT, DIVERGENCE AND CURL 13 Hrs

Gradient of a scalar functions – Directional Derivatives – Geometric interpretation – curl of

vector and its physical interpretation – Solenoid and irrotationals.

UNIT-III VECTOR INTEGRATION 13 Hrs

Line Integrals – Surface integral and its physical meaning. Statement of Gauss Divergence

theorem. Green‘s theorem and Stoke‘s theorem (with out proof) and problems

UNIT-IV FOURIER SERIES 13 Hrs

Euler‘s Formulae – Conditions for Fourier Expansion – Functions having Discontinuity –

Change of Interval- Odd and Even functions – Expansions of Odd or Even periodic functions –

Half –range series – Parseval‘s formula.

UNIT-V LAPLACE TRANSFORM 13 Hrs Laplace transforms – Inverse laplace transforms – properties – applications of laplace

82

transforms to solving ordinary differential equations with constant co-efficients.

Text Books

Grewal.B.S, Higher Engineering Mathematics, Khanna Publishers, New Delhi, 2002.

Narayanan.S & Manickavachagom Pillay,T.K Differential Equations and its

Applications, Vishwanathan.S Printers & Publishers Pvt.Ltd, Chennai, 2006.

Reference Books

Shanti Narayanan, Integral Calculus, S.Chand and Co Pvt.Ltd, New Delhi, 2001.

Viswanathan.K & Selvaraj.S, Vector Analysis, Emerald Publishers, Chennai, 1998.

UMAM202 ANALYTICAL GEOMETRY OF 3D


Category : Core IV Hours/Week : 4


Objectives


Understand the fundamental aspects of 3 Dimensional Analytical Geometry.

Introduce Sphere, Cone and Cylinder in Cartesian co-ordinate.

Develop the logical and systematic computational skills.

UNIT-I PLANE 11 Hrs

Plane: General Equation – Normal form – Transformation of the general equation to the

normal form – Angle between two planes – Length of the perpendicular from a given point to a

plane – Equation of the planes bisecting the angle between two planes.

UNIT-II STRAIGHT LINE 11 Hrs lines: Symmetrical form – line through two points – Reduction of the unsymmetrical form

to the symmetrical form – condition for a line to lie on a plane – plane through a given line –

condition for the two lines 𝑟1 = 𝑎1 + t𝑏1 & 𝑟2 = 𝑎2 + t𝑏2 to be coplanar.

UNIT-III SKEW LINES 10 Hrs

Straight lines continued: Equation of the plane containing two lines – to find the shortest

distance between two skew lines 𝑟1 = 𝑎1 + t𝑏1 & 𝑟2 = 𝑎2 + t𝑏2 – Equations of the shortest

distance in Cartesian.

UNIT-IV SPHERE 10 Hrs

Sphere: Equation of a sphere with given centre and radius – General form of Equation of a

sphere – Diameter form – Circular section – Tangent plane to a sphere.

UNIT-V CONE 10 Hrs

Cone: Equation of a cone with its vertex at the origin – Equation of a quadratic cone with

given vertex and given guiding curve – Necessary condition for a given equation of second degree

83

to represent a cone – Circular cone – Equation of a circular cone with given vertex, axis and semi

vertical angle – Equation of the enveloping cone of a sphere.

Text Books

Narayanan.S & Manicavachagom Pillay.T.K, Analytical geometry of 3D, Vishwanathan.S

Printers & Publishers, Pvt.Ltd, Chennai,1993.

Reference Books

Sharma S. Singhal .K, Gupta D.B, Text Book of Analytical Geometry, Krishna Prakashan

Mandir, Meerat,1995.

UMAM302 DIFFERENTIAL EQUATIONS

(Replaces the syllabus UMAM 301 Differential Equations found in Academic Council

Booklet I)

Semester : III Credits : 4

Category : Core V Hours/Week : 4

Class & Major : III B.Sc Mathematics Total Hours : 52

Objectives


Provide logical skills in the formation of differential equations.

Expose the different techniques of finding solutions to these equations.

Understand the applications of these equations in geometrical and physical Problems.

UNIT-I FIRST ORDER DIFFERENTIAL EQUATION 13 Hrs

Equation of first order and of the first degree: variable separable method – Linear

differential equation – Exact differential equation – Bernoulli‘s Equation.

UNIT-II ORDINARY LINEAR DIFFERENTIAL EQUATION 12 Hrs Equations of the first order and higher degree – Equations solvable for p, Equations

solvable for x, Equation solvable for y – Clairaut‘s form- Total Differential equations.

UNIT-III SECOND ORDER DIFFERENTIAL EQUATION 10 Hrs

Second Order linear differential with constant co-efficients- Second Order Linear

Differential equations with variable co-efficients – Method of variation of parameters.

UNIT-IV FORMATION OF PARTIAL DIFFERENTIAL EQUATION 7 Hrs

Formation of PDE by eliminating arbitrary constants and arbitrary functions- Complete

integrals – Particular integrals – Singular integrals – Lagrange‘s Method of solving the linear

equation.

UNIT-V PARTIAL DIFFERENTIAL EQUATION 10 Hrs

Equations solvable by direct integration – Partial differential equation: Solving equations of

the type f(p, q)=0, f(x ,p, q)=0, f(y,p,q)=0, f(z,p,q)=0, f(x,p)=f(y,p), Z=px + qy+ f(p,q) (Clairaut‘s

form).

84

Text Book

Narayanan.S & Manickavachagom Pillay, T.K Differential Equations and its

Applications, Vishwanathan.S Printers & Publishers Pvt.Ltd., Chennai, 2006.

Reference Books

Grewal.B.S, Higher Engineering Mathematics,Khanna Publishers, New Delhi 2002.

Raisinghania.M.D, Ordinary and Partial Differential Equations, S.Chand and Co, Pvt.Ltd,

New Delhi, 2008.

Venkatraman.M.K , Engineering Mathematics,National Publishing Company, Chennai,

1999.

UMAM303 STATICS


Category : Core VI Hours/Week : 4


Objectives


Introduce the basic concepts in Kinematics.

Understand the Geometry of mathematical models.

UNIT-I FORCES 10 Hrs

Introduction – Forces acting at a point – Parallelogram of forces – Triangle of forces –

Lami‘s theorem.Simple Problems.

UNIT-II FORCES ON A RIGID BODY 11 Hrs

Moment of a force- Moment of a force about a line-Scalar moment. General motion of a

Rigid body –Equations of motions of a rigid body Kinetic energy of a rigid body.

UNIT-III FORCES ON A RIGID BODY 11 Hrs

Parallel Forces-Point of application of resultant of many parallel forces-Varignon‘s

Theorem-Parallel forces at the vertices of a triangle-Couples-Arm and axis of a couple-Resultant

of several coplanar forces.

UNIT-IV FRICTION 10 Hrs

Laws of friction – angle of friction – equilibrium of a body on a rough inclined plane acted

on by several Forces. Simple problems.

UNIT-V CENTRE OF MASS 10 Hrs

Centre of mass- Centre of Gravity- Finding Mass Centre.

Text Books

Duraipandian.P,Laxmi Duraipandian and Muthamizh Jayapragasam, Mechanics, S.Chand

& Co Pvt.Ltd, New Delhi,2006.

Venkatraman.M.K, Statics, Agasthier Book Depot, Trichy, 2002.

85

Reference Books

Duraipandian.P,Laxmi Duraipandian and Muthamizh Jayapragasam, Mechanics, S.Chand

& Co, New Delhi, 2006.

Chatterji.P.N, Statics, Rajhans Publications, Meerut, 1996.

Loney.S.L, Elements of Statics, Macmilan India, New Delhi,1982.

UMAA104 ALGEBRA, DI FFERENTIAL CALCULUS

&TRIGONOMETRY


Category : Allied Hours/Week : 5

Class & Major : I B.Sc Physics Total Hours : 65

Objectives


Acquire indepth knowledge about Binomial, Exponential and Logarithmic

Series.

Expose themselves to the fundamentals of differentiation.

UNIT-I ALGEBRA 15 Hrs

Binomial theorem for rational index-Exponential and Logarithmic series – summation and

simple approximations related to binomial, exponential and logarithmic series.

UNIT-II MATRICS 13 Hrs Cayley Hamilton theorem – verification – finding inverse of a matrix using Cayley

Hamilton theorem-Eigen values and Eigen vectors.(simple problems only for matrices of order

upto 3 ×3).

UNIT-III DIFFERENTIAL CALCULUS 10 Hrs Successive differentiation-Leibentiz theorem and its applications- Jacobian- Concept of

polar coordinates radius of curvature in Cartesian coordinates

UNIT-IV TRIGONOMETRIC SERIES 12 Hrs Complex numbers-Applications of De-Movire‘s theorem-Expansions of sinnθ, cosnθ,

tannθ,- Expansions of sinnθ, cos

nθ-Expansion of sinθ, cosθ, tanθ in powers of θ.

UNIT-V HYPERBOLIC FUNCTIONS 15 Hrs Hyperbolic Functions-Inverse Hyperbolic Functions –relation between circular and

hyperbolic functions, logarithm of complex numbers.

Text Books

Narayanan and Manicavachagom Pillay, Algebra Volume I, Viswanathan.S Printers &

Publishers Pvt. Ltd.,Chennai, 1996.

Narayanan and Manicavachagom Pillay,Calculus, Volume I Viswanathan.S Printers &

Publishers Pvt. Ltd., Chennai, 1994.

86

Narayanan.S & Manicavachagom Pillay.T.K, Trigonometry, Chennai. Vishwanathan.S

Printers & Publishers Pvt.Ltd., Chennai, 1994.

UMAA110 MATHEMATICAL METHODS – I



Class and Major : I BCA Total Hours : 78

Objectives:


Understand the basic concepts of set theory and relations.


Apply binary operators in automation.

UNIT-I SYMBOLIC LOGIC 16Hrs

Proposition, Logical operators, conjunction, disjunction, negation, conditional and bi-

conditional operators, converse, Inverse, Contra Positive, logically equivalent,tautology and

contradiction. Arguments and validity of arguments.

UNIT-II SET THEORY 10 Hrs

Sets, Set operations, venndiagram, Properties of sets, number of elements in a set Cartesian

product.

UNIT-III RELATIONS 16 Hrs

Equivalence relation. Equivalence class, Partially and Totally Ordered sets. Functions:

Types of Functions, Composition of Functions.

UNIT-IV BINARY OPERATORS AND AUTOMATA THEORY 16 Hrs

Types of Binary Operations: Commutative, Associative, Distributive and Identity Boolean

algebra: Simple Properties.Finite state machine.

UNIT-V DIFFERENTIAL CALCULUS 20 Hrs

Derivation-Differential coefficient of a sum (or difference) – Product rule-Quotient rule

Successive differentiation, partial differentiation, Applications of differentiation, Tangent and

Normal, angle between two curves, Maximum and Minimum values[Second derivatives test].

Text Books

Venkataraman.M.K,Discrete Mathematics, National Publishing Company, Chennai, 2003.

Narayanan.S & Manicavachagom Pillay.T.K, Differential Calculus Volume I,

Viswanathan.S Publishers and Printers, Pvt.Ltd, Chennai, 2003.

Reference Books

Balaji.G, Discrete Mathematics, G.Balaji Publishers, Chennai, 2006.

Kandasamy, P,Thilagavathi.K, Gunavathi.K, Engineering

87

Mathematics-I, S.Chand & Co, Pvt.Ltd, New Delhi, 2003.

UMAA210 MATHEMATICS FOR COMPUTER SCIENCE

Semester : II Credits : 4


Class & Major : I B.Sc Computer Science Total Hours : 78

Objectives


Acquire indepth knowledge about Binomial, Exponential and Logarithmic Series.

Expose themselves to the fundamentals of differentiation and integration.


Binomial Series – Statement of binomial theorem for any index – A few important

expansions – application of the binomial theorem to the summation of Series. Exponential series –

summation of series using exponential series – the Logarithamic series.

UNIT-II DIFFERENTIAL CALCULUS 16 Hrs

Higher derivative – nth

derivative – Formation of equation involving derivative – Leibnitz

formula for the nth

derivative of a product (statement only). Radius of curvature (Cartesian formula

only) Jacobian.

UNIT-III TRIGNOMETRY 15 Hrs

Expansion of Cos n𝜃 and Sin n𝜃- Powers of sines and cosines of 𝜃 in terms of function of

multiple of 𝜃 – Expansion of cosn𝜃 when n is the positive integer – Expansion of Sin

n𝜃 when

positive integer. Logarithm of complex number .

UNIT-IV INTEGRATION 16 Hrs

Definite integral – properties of definite integrals – Integration by parts using Bernouli‘s

formula – Double integral.

UNIT-V LAPLACETRANSFORM 16 Hrs

Definition – Inverse Laplace transform – Solving second order differential equations using

Laplace transform.

Text Books

Narayanan.S, Hanumantha Rao.R, Manicavachagom Pillay Ancillary Mathematics

Volume –I, S.Viswanathan Printers & Publishers Pvt.Ltd, Chennai, 2008.

Narayanan.S, Hanumantha Rao.R, Manicavachagom Pillay, Ancillary Mathematics

Volume –II, S.Viswanathan Printers & Publishers Pvt.Ltd, Chennai, 2008.

Reference Books

88

Narayanan.S & Manicavachagom Pillay,T.K Algebra Volume I, Vishwanathan.S Printers

& Publishers Pvt Ltd., Chennai, 1996.

Narayanan.S & Manicavachagom Pillay,T.K Calculus Volume I, Vishwanathan.S Printers

& Publishers Pvt Ltd., Chennai, 1994.

Narayanan.S & Manicavachagom Pillay,T.K Trigonometry, Vishwanathan.S Printers &

Publishers Pvt.Ltd., Chennai, 1994.

UMAA212 FUNDAMENTALS OF MATHEMATICS

Semester : II Credits : 5


Class & Major : I B.Sc Physics Total Hours : 65

Objectives


Acquire knowledge in Mathematics

Apply the techniques of various branches of Mathematics.

UNIT-I INTEGRATION 12 Hrs

Standard Integrals-Properties of definite integrals.

UNIT-II INTEGRATION BY PARTS 15 Hrs Integration by parts – Double integrals – Applications of double integrals to find areas.

UNIT-III SEQUENCE AND SERIES 15 Hrs

Sequence and series, functions of a complex variable, Analytic functions, Cauchy

Riemanns Equations, Harmonic Functions, Construction of analytic functions.

UNIT-IV LAPLACE TRANSFORM 10 Hrs Laplace transform of functions – Inverse Laplace transforms – Application of Laplace

transforms in solving differential equations.

UNIT-V DIFFERENTIAL EQUATIONS 13 Hrs

Formation of Partial Differential Equation – Second order differential equations with

constant co-efficients –Homogeneous linear differential equations of the second order with

variable co-efficients.

Text Books

Manicavachagom pillai, T.K, Ancillary Mathematics Integral calculus, Viswanathan.S

Publishers & Printers Pvt.Ltd., Chennai, 2010.

Narayanan.S & Manicavachagom Pillay.T.K, Complex Analysis, Vishwanathan.S Printers

& Publishers, Pvt.Ltd., Chennai, 1994.

UMAA214 BUSINESS MATHEMATICS

(Replaces the syllabus UMAA 304 Business Mathematics found in Academic Council Booklet I)

89



Class & Major : II B.Com/B.Com(CA) Total Hours : 52

Objectives


Introduce basic in mathematics which are applicable in business.

Improve the analytical skills .

Develop the computational skills.

UNIT-I OPTIMIZATION 10 Hrs

Basic Calculus – Rules for Differentiation – Maxima and Minima and their Applications to

Business.

UNIT-II COMMERCIAL ARITHMETICS 10 Hrs

Commercial Arithmetic –Percentages – Discount- Simple and Compound Interest –True

and Bankers discount .

UNIT-III DETERMINISTIC BUSINESS MODELS 10 Hrs Simple Marketing

Models-A Simple Advertising Budget Model-A Simple Inventory Model.

UNIT-IV MATRICES 11 Hrs

Matrix – Operations on Matrices– Inverse of a Square Matrix (not more than 3rd

order).

UNIT-V INTEGRATION 11 Hrs

Basic Integration- Standard forms-rules for integration – Surplus and Demand.

Text Book

Sundaresan.V & Jeyaseelan.S.D, An Introduction to Business Mathematics,

S.Chand and Co, Pvt.Ltd, New Delhi, 2003.

Reference Book

Aggarwal B.M, Business Mathematics and Statistics Fundamentals, Sultan

Chand and Sons Pvt.Ltd, New Delhi, 2003.

UMAA216 MATHEMATICAL METHODS – II



Class & Major : I BCA Total Hours : 65

Objectives


Understand the basic concepts of matrices.

Expose themselves to the fundamentals of integration.

Apply the technique of differentiation in vectors.

90

UNIT-I MATRICES 12 Hrs

Multiplication of matrices, Singular and Non-Singular matrices, Adjoint of a

Matrix,Inverse of a Matrix Symmetric and Skew –Symmetric,Hermitian and Skew-

Hermitian,Orthogonal and Unitary matrices,Rank of a matrix.

UNIT-II SOLVING LINEAR EQUATIONS 12 Hrs

Solution of Simultaneous Linear equations by Matrix Inversion Method. Test for

Consistency and Inconsistency of Linear equations,(Rank Method),Characteristic roots and

Charactetristic Vectors,Cayley – Hamilton Theorem.

UNIT-III INTEGRATION 12 Hrs

Integration by Substitution, Integration of rational and irrational function of the form

,,1

,1 2

22cbxax

cbxaxcbxax

cbxax

qpx

cbxax

qpx

22,

. UNIT-IV DEFINITE INTEGRAL 13 Hrs

Definition and Properties of definite Integrals. Reduction formulae for

,)1(,cos,, dxxxxdxxdxinsdxex nmnnaxn

UNIT-V DIFFERENTIATION OF VECTORS 16Hrs

Vector functions,derivatives of vectors-Gradient,Divergence and Curl,Properties of

Curl,Properties of a Gradient functions,Directional Derivative-Solenoidal and Irrotationals.

Text Book

Manicavachagom pillay & Natarajan,Ganapathy, Vector Analysis, S.Viswanathan Printers

and publishers Pvt.Ltd , 2003. Reference Book

Duraipandian.P, Dr.Udayabaskaran.S, Allied Mathematics – Volume I, Muhil Publishers,

Chennai, 1997.

UMAA306 ALGEBRA, DIFFERENTIAL CALCULUS

&TRIGONOMETRY



Class & Major : I B.Sc Chemistry Total Hours : 65

Objectives


Acquire indepth knowledge about Binomial, Exponential and Logarithmic Series.



Binomial theorem for rational index – Exponential and Logarithmic series – summation

and simple approximations related to Binomial, Exponential and Logarithmic series.

91

UNIT-II MATRICES 16 Hrs Cayley Hamilton theorem – verification – finding inverse of a matrix using Cayley

Hamilton theorem – Eigen values and Eigen vectors.(simple problems only for matrices of order

upto3 × 3).

UNIT-III DIFFERENTIAL CALCULUS 16 Hrs Successive differentiation – Leibenitz theorem and its applications – Jacobian- Concept of

polar coordinates radius of curvature in Cartesian coordinates

UNIT-IV TRIGONOMETRIC SERIES 15 Hrs Complex numbers-Applications of De-Moivre‘s theorem-Expansions of sinnθ, cosnθ,

tannθ,- Expansions of sinnθ, cos

nθ-Expansion of sinθ, cosθ, tanθ in powers of θ.

UNIT-V HYPERBOLIC FUNCTIONS 15 Hrs Hyperbolic Functions-Inverse Hyperbolic Functions –relation between circular and

hyperbolic functions, logarithm of complex numbers.

Text Books

Narayanan and Manicavachagom Pillay, Algebra Volume I, Viswanathan.S Publishers &

Printers Pvt. Ltd., Chennai,1996.

Narayanan and Manicavachagom Pillay, Calculus Volume I, Viswanathan.S Publishers

& Printers Pvt. Ltd., Chennai, 1994.

Narayanan.S & Manicavachagom Pillay.T.K, Trigonometry, Vishwanathan.S Printers &

Publishers Pvt,Lltd., Chennai, 1994.

UMAE202 MATHEMATICS FOR BUSINESS AND DECISION - MAKING


Category : Non Major Elective Hours/Week : 4


Objectives


Provide a scientific basis to the decision-makers for obtaining optimal solution.

Introduce a few basic concepts of mathematics, their application in business.

Analyze decision problem, with effective application to real life in optimization of

objectives.

UNIT-I SET THEORY 10 Hrs

Set and Set operation – Venn diagrams – Elements of Co-ordinate system – The slope

intercept form of equation of the straight line.

UNIT-II MATRICES 10 Hrs

Matrices; Fundamental ideas about matrices and their operational rules – Matrix

multiplication – inversion of square matrices of not more than 3 order. Basic of calculus – Rules of

92

Differentiation – Integration and their applications to Business.

UNIT-III MATHEMATICS FOR FINANCE 10 Hrs

Mathematics for Finance: Simple and Compound interest – Annuities – Sinking funds –

Discounts and present Values

UNIT-IV DECISION THEORY 10 Hrs

Decision Theory: Introduction – Decision making environment – the maximin or minimax

criterion – the savage regret criterion – the Hurwitz criterion.

UNIT-V THEORY OF GRAPHS 12 Hrs

Theory of Games: Pure Strategy (Saddle point) – Dominance property – Mixed

Strategies(2X2 Games, 2Xn Games or mX2 Games, 3X3 Games) - Two-Person Zero Sum Games.

Text Books

Kanti Swarup, Gupta, P.K. & Man Mohan, Operation Research , sultan Chand &

Sons,New Delhi,1997.

Sundaresan.V & Jeyaseelan.S.D, An Introduction to Business Mathematics, S.Chand and

Co, Pvt.Ltd, New Delhi, 2003.

UMAE204 BASIC MATHEMATICS




Objectives


Understand the basic concepts of Matrices and Trigonometry.

Expose themselves to the fundamentals of differentiation and integration.

UNIT-I MATRICES 10 Hrs

Multiplication of matrices-Singular and Non-Singular matrices-Adjoint of a matrices-

Inverse of a matrices-Symmetric and skew Symmetric-Hermitian and Skew Hermitian-Orthogonal

and unitary rank of a matrix.

UNIT-II SOLVING LINEAR EQUATIONS 10 Hrs

Solution of Simultaneous Linear Equations by Matrix Inversion Method-Test for

consistency and Inconsistency of Linear equations(Rank Method).

UNIT-III DIFFERENTIATION 11 Hrs

Derivation-Differential coefficient of a sum (or difference)-Product rule-Quotient rule,

Function of Function Rule.

UNIT-IV INTEGRATION 11 Hrs

Definition-Standard formulae.

93

UNIT-V INTEGRATION BY PARTS 10 Hrs

Integration by parts.Simple problems.

Text Books

S.Narayanan Manicavachagom Pillay & Natarajan, Ganapathy,Vector Analysis,

Vishwanathan.S Printers & Publishers Pvt,Lltd., Chennai, 1991.

Kandhasami Thilagavathy, Allied Mathematics Volume-II,S.Chand & Co Pvt. Ltd.,New

Delhi,2004.

UMAE206 MATHEMATICS FOR DECISION MAKING




Objectives


Provide a scientific basis to the decision-makers for obtaining optimal solution.

Introduce a few basic concepts of mathematics, their application in business.

Analyze decision problem, with effective application to real life in optimization of

objectives.

UNIT-I SET THEORY 10 Hrs

Set operation – Venn diagrams-Properties of sets, Number of element in a set, Cartesian

product.

UNIT-II MATRICES 10 Hrs

Matrices; Fundamental ideas about matrices and their operational rules – Matrix

multiplication – inverse of square matrices of not more than 3 ×3 order.

UNIT-III MATHEMATICS FOR FINANCE 10 Hrs

Simple and Compound interest – Annuities – Sinking funds – Discounts and present

Values.

UNIT-IV DECISION THEORY 10 Hrs

Introduction – Decision making environment – the maximin or minimax criterion – the

savage criterion – the Hurwitz criterion.

UNIT-V THEORY OF GAMES 12 Hrs

Pure Strategy (Saddle point) – Dominance property – Mixed Strategies(2×2 Games) –

Two-Person Zero Sum Games.

Text Books

Venkataraman.M.K,Discrete Mathematics, G.Balaji Publishers, Chennai, 2006.

94

Sundharesan and Jayaseelan, An Introduction to Business Mathematics, S.Chand and Co

Pvt.Ltd, New Delhi, 2003.

T Kanthi Swarup,P.K.Gupta, Manmohan, Operation Research, S.Chand & Co, Pvt Ltd,

New Delhi,2006.

Dr.Venkatraman.M.K,Manorama Sridhar,Allied Mathematics,Agasthiar Publications

Pvt.Ltd.,Trichy,2005.

UMAE302 NUMERICAL METHODS USING C++




Objectives


Expose the various tools in solving numerical problems.

Apply these methods in a computer environment.

UNIT-I INTRODUCTION TO C++ 10 Hrs

Variables-input and output—If statement-Logical operators-Nested If and Switch

statements – For statement – While statement –Arrays – Pointers – Library functions – user

defined function.

UNIT-II SYSTEM OF LINEAR EQUATIONS 10 Hrs

Gauss – Elimination method – Pivoting – Gauss –Jordan Elimination method – Gauss –

Seidal Iteration method

UNIT-III NON-LINEAR EQUATIONS AND INTERPOLATION 10 Hrs

Bisection - method – Newton‘s method – Interpolation – Newton‘s dived difference

formula – Lagrange‘s interpolation – Newton‘s forward and backward difference formula.

(Application of C++ Programming is included for Units III & IV )

UNIT-IV NUMERICAL DIFFERENTIATION 10 Hrs

Numerical Differentiation – Numerical Integration – Newton‘s cotes method –

Trapezoidal rule – Simpson‘s rule.

UNIT-V NUMERICAL DIFFERENTIAL EQUATIONS 12 Hrs

Initial value problem – Euler‘s method – Runge – Kutta method – Boundary value

problem.

Text Books

James M.Ortega Andrew S.Grimshaw., An Introduction to c++ and Numerical Method,

Oxford University Press, New York, 1999.

Jain M.K, Iyengar S R K and Jain R K.,Numerical Methods for Scientific and

Engineering Computation, Wiley Eastern Ltd. New Delhi,1999.

95

Reference Books

Balagurusamy E., Object Oriented Programming with C++, Tata McGraw Hill

Publishing Company Ltd, New Delhi, 1996

Froberg C.E, ―Introduction to Numerical Analysis‖, Addison-Wesely Publishing

Company, 1972.

UMAE304 NUMERICAL METHODS




Objectives


Expose the various tools in solving numerical problems.


UNIT-I SYSTEM OF LINEAR EQUATIONS 10Hrs Gauss Elimination method – Pivoting – Gauss Jordan Elimination method – Gauss Seidal

Iteration method.

UNIT-II NON-LINEAR EQUATION AND INTERPOLATION 10Hrs

Bisection method – Newton Raphson method – Interpolation –

Lagrange‘sInterpolationNewton‘s forward and backward difference formula.

UNIT-III NUMERICAL DIFFERENTIATION 12Hrs

First order differentiation using Newton‘s forward and backward difference formula.

UNIT-IV NUMERICAL INTEGRATION 10Hrs

Trapezoidal rule – Simpson‘s 1/3 rule – Simpsons 3/8 rule.

UNIT V NUMERICAL DIFFERENTIAL EQUATIONS 10 Hrs

Euler Method- Improved Euler Method – Modifid Euler Method – Runge Kutta Second

and Fourth order Method.

Text Books

Raja Raman.V, Computer Oriented Numerical Methods,Prentice Hall of India Pvt Ltd New

Delhi, 2001.

B.D Gupta, Numerical Analysis, Konark Publishers Pvt Ltd. New Delhi, 1998.

Reference Book

S.S Sastry, Introductory Methods of Numerical Analysis, Prentice Hall of India Pvt ,New

Delhi,2000.

96

COURSE PROFILE M.Sc. (Mathematics)

Semester Category Course

Code Course Title

Contact

Hrs/ Week

Credit

Mini Max

I

Core I PMAM101 Modern Algebra 6 4 4

Core II PMAM102 Real Analysis 6 4 4

Core III PMAM103 Ordinary Differential

Equations 6 4 4

Core IV PMAM 104 Graph Theory 6 4 4

Non Major

Elective 5 4 5

Library / Seminar 1 - -

TOTAL 30 20 21

II

Core V PMAM201 Field Theory 5 4 4

Core VI PMAM202 Measure and Integration 5 4 4

Core VII PMAM203 Partial Differential

Equation 5 4 4

Core VIII PMAM204 Classical Mechanics 5 4 4

Core IX PMAM205 Operations Research 5 4 4

Non Major

Elective 5 4 5

Service

Learning

PMAX201

/PMAX202

Fundamentals of

Mathematics /Elementary

Mathematics

1 1

TOTAL 30 25 26

III

Core X PMAM305 Complex Analysis 6 4 4

Core XI PMAM306 Discrete Mathematics 6 4 4

Core XII PMAM307 Topology 6 4 4

Core XIII PMAM308 Number Theory and

Cryptography 5 4 4

Project 2 - -

Non-Major

Elective PALE301

Preparatory Course for

NET/SET 5 4 4

TOTAL 30 20 20

IV

Core XIV PMAM405 Functional Analysis 6 4 4

Core XV PMAM406 Mathematical Statistics 6 4 4

Core XVI PMAM403 Differential Geometry 5 4 4

CoreXVII PMAM404 Difference Equation 5 4 4

Project PMAP401 4 5 5

Value

Education PWSV 403 Women‘s Studies 5 4 4

TOTAL 30 25 25


COURSES OFFERED TO OTHER DEPARTMENTS – PG

97

Semester Category Course Code Course Title Contact Hrs/

Week

Credit

Mini Max

I Core III PCAM103 Mathematical

Foundations 4 4 4

V Core III PCAM504 Operations Research 4 4 4

I

Non Major

Elective PMAE101 LaTeX and MATLab 3

5

5

Practical LaTeX and MATLab 2

I Non Major

Elective PMAE102 Operations Reasearch 5 4 4

II Non Major

Elective PMAE202 Fuzzy Mathematics 5 5 5

II Non Major

Elective PMAE203 Discrete mathematics 5 4 4

III Non Major

Elective PMAE301 Fuzzy Logic 5 3 3

PMAM101 MODERN ALGEBRA


Category : Core I Hours/Week : 6

Class &Major : I M.Sc Mathematics Total Hours : 78

Objectives


Introduce the concepts and to develop working knowledge on class equation, solvability

of groups, finite abelian groups, linear transformations, real quadratic forms.

Understand the concept of algebra in detail.

Apply real time problems.

UNIT-I SYLOW’S THEOREM 16 Hrs

Another Counting principle- class equation for finite groups and its applications- Sylow‘s

theorem [for theorem 2.12.1, only first proof].

UNIT-II FINITE ABELIAN GROUPS 16 Hrs

Solvable groups- Direct products- Finite abelian groups- Modules.

UNIT-III LINEAR TRANSFORMATIONS 18 Hrs

Linear Transformations: Canonical forms – Triangular form- Nilpotent transformations.

UNIT-IV JORDAN FORM 15 Hrs

Jordan form- Rational Canonical form.

UNIT-V TRACE AND TRANSPOSE 15 Hrs

Trace and transpose – Hermitian, Unitary, normal transformations, and real quadratic form.

Text Book

Herstein.I.N, Topics in Algebra, Wiley Eastern Limited, New Delhi, 1975.

98

Reference Books

Artin.M, Algebra, Prentice Hall of India, New Delhi, 1991.

Bhattacharya.P.B, Jain.S.K, and Nagpaul.S.R, Basic Abstract Algebra, Cambridge

University press, New York, 1997.

Jacobson.N & Freeman.W.H, Basic Algebra Vol. I&II, Hindustan publishing Company,

New Delhi,1980.

PMAM102 REAL ANALYSIS



Class & Major : I M.Sc Mathematics Total Hours : 78

Objectives


Introduce functions of bounded variation, Riemann- Stieltjes Integration, Convergence

and its interplay between various limiting operations.

Apply functions of bounded variation, Riemann- Stieltjes Integration, Convergence and

its interplay between various limiting operations.

UNIT-I SEQUENCES AND SERIES 16 Hrs Double sequences – Double series – Rearrangement theorem for double series- A sufficient

condition for equality of iterated series – Multiplication of series – Cesaro summability – Infinite

products. Power series – Multiplication of power series – The Taylor‘s series generated by a

function – Bernstein‘s theorem - Able‘s limit theorem – Tauber‘s theorem.

UNIT-II CONVERGENCE SEQUENCE 16 Hrs Point wise convergence of sequences of functions – Examples of sequences of real Valued

functions – Definitions of uniform convergence – Uniform convergence and continuity _ The

Cauchy condition for uniform convergence – Uniform convergence of infinite series of

functions– Uniform convergence and Riemann – Stieltjes integration – Non uniform onvergence

and Term -by- term Integration – Uniform convergence differentiation – Sufficient condition for

uniform convergence of a series – Mean convergence.

UNIT-III ORTHOGONAL SYSTEM OF FUNCTIONS 16 Hrs Introduction – Orthogonal system of functions – the theorem on best approximation – The

Fourier Series of a function relative to an orthonormal system – Properties of Fourier Coefficients

– The Riesz-Fischer Theorem – The Convergence and representation problem in trigonometric

series – The Riemann – Lebesgue Lemma – The Dirichlet Integrals – An Integral representation

for the partial sums of Fourier series – Riemann‘s localization theorem – Sufficient condition for

convergence of a Fourier series – Consequence of Fejes theorem – The Weierstrass approximation

theorem.

UNIT-IV DIRECTIONAL DERIVATIVE 15 Hrs

Introduction – The Directional derivative – Directional derivative and continuity – The

total derivative - The total derivative expressed in terms of partial derivatives – The Matrix of

linear function – The Jacobian Matrix – The Chain rule – Matrix form of chain rule – The mean –

99

value theorem for differentiable functions – A sufficient condition for differentiability condition

for equality of mixed partial derivatives – Taylor‘s theorem for functions of Rn to R

1.

UNIT-V IMPLICIT FUNCTION THEOREM 15Hrs

Functions with non zero Jacobian determinants – The inverse function theorem – The

Implicit function theorem – Exterma real valued function of severable variables – Extremum

problems with side conditions.

Text Books

Barra G. de., Measure Theory and Integration, Wiley Eastern Ltd, New Delhi, 1981.

Tom M.Apostol, Mathematical Analysis, Addison – Wesley Publishing Company Inc,

New York, 1974.

Reference Books

Burkill, J.C. The Lebesgue Integral, Cambridge University Press, New York, 1951.

Gelbaum, B.R. and J. Olmsted, Counter Examples in Analysis, Holden day, San

Francisco, 1964.

PMAM103 ORDINARY DIFFERENTIAL EQUATIONS




Objectives


Develop a strong background on finding solutions to liner differential equations with

constant and variable coefficients and also with singular points.

Apply the existence and uniqueness of the solutions of first order differential equations.

Understand and develop analytical skills.

UNIT-I SECOND ORDER HOMOGENEOUS EQUATIONS 16 Hrs

Second order homogeneous equations-Initial value problems-Linear dependence and

independence - Wronskian and a formula for Wronskian – Non-homogeneous equation of order

two.

UNIT-II HOMOGENEOUS AND NON-HOMOGENEOUS EQUATION 15 Hrs

Homogeneous and non-homogeneous equation of order n – Initial value problems-

Annihilator method to solve non-homogeneous equation- Algebra of constant coefficient

operators.

UNIT-III INITIAL VALUE PROBLEMS 16 Hrs

Initial value problems – Existence and uniqueness theorems – Solutions to solve a non-

homogeneous equation – Wronskian and linear dependence – reduction of the order of a

homogeneous equation – homogeneous equation with analysis coefficients – The Legendre

equation.

UNIT-IV EULER EQUATION 15 Hrs

100

Euler equation – Second order equations with regular singular points – Exceptional cases –

Bessel Function.

UNIT-V EXACT EQUATION 16 Hrs

Equation with variable separated – Exact equation – method of successive approximations

– the Lipschitz condition – convergence of the successive approximations and the existence

theorem.

Text Book

Coddington E.A., An Introduction to Ordinary Differential Equations, Prentice-Hall of

India Ltd., New Delhi, 1987.

Reference Books

Lebedev. N.N, Special functions and their applications, Prentice Hall of India, New Delhi,

1965.

Reid W.T., Ordinary Differential Equations, John Wiley and Sons, New York, 1971

Raisinghania M.D., Advanced Differential Equations, S. Chand & Company Pvt.Ltd ,New

Delhi, 2001.

PMAM104 GRAPH THEORY


Category : Core IV Hours/Week : 6


Objectives

To enable students

Develop the concepts of graphs, subgraphs, trees, connectivity, Euler tours, Hamilton

cycles, matching, coloring of graphs, independent sets, cliques, vertex coloring, and

planar graphs.

UNIT-I GRAPHS 16 Hrs

Graphs and simple graphs – Graphs Isomorphism – The Incidence and Adjancency

Matrices – Subgraphs – Vertex Degrees – Paths and Connection – Cycles – Trees – Cut Edges and

Bonds – Cut Vertices.

UNIT-II CONNECTIVITY 16 Hrs

Connectivity – Blocks – Euler tours – Hamilton Cycles.

UNIT-III MATCHINGS 16 Hrs

Matchings – Matchings and Coverings in Bipartite Graphs – Edge Chromatic Number –

Vizing‘s Theorem.

UNIT-IV CHROMATIC NUMBER 15 Hrs

Independent Sets – Ramsey‘s Theorem – Chromatic Number – Brooks‘ Theorem –

Chromatic Polynomials.

101

UNIT-V PLANAR GRAPHS 15 Hrs

Plane and planar graphs – Dual graphs – Euler‘s Formula –The Five - Colour Theorem and

the Four - Colour Conjecture.

Text Book

Bondy.J.A & Murthy U.S.R., Graph Theory and Applications, Macmillan, London, 1976.

Reference Books

Clark.J & Holton D.A., A First look at Graph Theory, Allied Publishers, New Delhi,

1995.

Gibbsons.A, Algorithmic Graph Theory, Cambridge University Press, New York, 1989.

Wilson.R.J & Watkins J.J., Graphs: An Introductory Approach, John Wiley and Sons, New

York, 1989.

PMAM201 FIELD THEORY


Category : Core V Hours/Week : 5


Objectives


Understand foundation in various algebraic structures.

Develop the computational skill in abstract algebra.

Introduce the general concepts in Abstract Algebra.

UNIT-I EXTENSION FIELD 13 Hrs

Extension fields – Transcendence of e.

UNIT-II ROOTS OF POLYNOMIALS 13 Hrs

Roots of Polynomials – More about roots.

UNIT-III GALOIS THEORY 13 Hrs

Elements of Galois Theory.

UNIT-IV FINITE FIELDS 13 Hrs

Finite fields – Wedderburn‘s Theorem on finite division rings.

UNIT-V FROBENIUS THEOREM 13 Hrs

Solvability by radicals – A theorem of Frobenius – Integral Quaternions and the Four –

Square theorem.

Text Book

Herstein.N. Topics in Algebra ,Wiley Eastern Limited, New Delhi, 1975.

102

Reference Books

Bhattacharya P.B., Jain S.K., & Nagpaul S.R., Basic Abstract Algebra Cambridge

University press, New York, 1997.

Jacobson.N & W.H. Freeman, Basic Algebra, Vol. I&II , Hindustan publishing Company,

New Delhi, 1980.

Malik D.S., Mordeson J.N. & Sen M.K., Fundamental of Abstract Algebra, Mc Graw

Hill, New York, 1997.

PMAM202 MEASURE AND INTEGRATION


Category : Core VI Hours/Week : 5


Objectives


Understand basics of knowledge in Lebesgue Measure.

Acquire indepth knowledge in Multivarible differential calculus.

UNIT-I MEASURE ON THE REAL LINE 13Hrs

Lebesgue Outer Measure – Measurable Sets – Regularity – Measurable Functions – Borel

and Lebesgue Measurability.

UNIT-II INTEGRATION OF FUNCTIONS OF A REAL VARIABLE 13 Hrs

Integration of Non negative functions – The General Integral – Riemann and Lebesgue

Integrals.

UNIT-III ABSTRACT MEASURE SPACES 13 Hrs

Measures and outer measures- Completion of a measure- Measure Spaces- Integration with

respect to measure. Lp

Spaces- Completeness of Lp

.

UNIT-IV 13Hrs

Signes measures- Hahn, Jordan Decompositions- The Randon Nikodym theorem- some

applications of the Nikodym Theorem.

UNIT-V 13 Hrs

Measurability in a product space- The Product measure and Fubini‘s theorem- Lebegue

measure in Euclidean space

Text Book

Barra G. de., Measure Theory and Integration, Wiley Eastern Ltd., New Delhi, 1981.

Reference Books

Natanson.I.P. Theory of functions of a Real Variable Vol.I & II, Cambridge University

Press, New York, 1960.

103

Royden.H.L, Real Analysis, Prentice- Hall of India private Limited, New Delhi, 2003.

Ganapathy Iyer.v, Mathematical Analysis, Tata McGraw Hill Publishing Company Ltd,

New Delhi, 1977.

PMAM203 PARTIAL DIFFERENTIAL EQUATIONS


Category : Core VII Hours/Week : 5


Objectives


Introduce variable separable method, integral transforms techniques and Green‘s function

approaches.

Apply various boundary value problems involving parabolic, elliptic and hyperbolic

differential equations.

UNIT-I PARTIAL DIFFERENTIAL EQUATIONS OF FIRST ORDER 13 Hrs

Formation and solution of PDE – Integral surfaces – Cauchy Problem order eqn –

Orthogonal surfaces – First order non- linear – Characteristics – Csmpatible system – Charpit

method. Fundamentals classifications and canonical forms of PDE.

UNIT-II ELLIPTIC DIFFERENTIAL EQUATIONS 16 Hrs

Derivation of Laplace and Poission equation – BVP – Separation of Variables - Dirichlet‘s

Problem and Newmann Problem for a rectangle – Inteior and Exterior Dirichlet‘s Problem for a

circle – Interior Newmann Problem for a circle p- Solution of Laplace Equation in Cylindrical and

Spherical Coordinates – Examples.

UNIT-III PARABOLIC DIFFERENTIAL EQUATIONS 10 Hrs

Formation and solution of Diffusion equation – Dirac-Delta function – Separation of

variables method – Solution of Diffusion Equation in Cylindrical and Spherical coordinates –

Examples.

UNIT-IV HYPERBOLIC DIFFERENTIAL EQUATIONS 13 Hrs

Formation and solution of one- dimensional wave equation – Canonical reduction – IVP

– d‘ Almembert‘s solution – Vibrating string – Forced Vibration – IVP and BVP for two

dimensional wave equation – Periodic solution of one dimensional wave equation in cylindrical

and spherical coordinate systems – Vibration of circular membrane – Uniqueness of the solution

for the wave equation – Duhamel‘s Principle – Examples.

UNIT-V GREENS FUNCTIONS 13 Hrs

Green‘s function for Laplace Equation – Methods of image – Eigen function method –

Green‘s function for the wave and diffusion equations. Laplace Transform method Solution of

Diffusion and Wave equation by Laplace Transform. Fourier transform method: Finite Fourier

104

Sine and Cosine Transforms – Solutions of Diffusion, Wave and Laplace equations by Fourier

Transform Method.

Text Book

Shankar Rao S., Introduction to Partial Differential Equations, Prentice Hall of India, New

Delhi, 2005.

Reference Books

Dennemeyer.R, Introduction to Partial Differential Equations and Boundary

McOwen.R.C., Partial Differential Equations, Pearson Education, New Delhi, 2005.

Raisinghania.M.D., Advanced Differential Equations, S.Chand & Company Pvt.Ltd, New

Delhi, 2001.

Sneddon. I.N., Elements of Partial Differential Equations, McGraw hill, New Delhi, 1983.

PMAM204 CLASSICAL MECHANICS


Category : Core VIII Hours/Week : 5


Objectives


Understand the mechanical systems under generalized coordinate systems, virtual work,

energy and momentum.

UNIT-I MECHANICAL SYSTEMS 16 Hrs

The Mechanical system – Generalized coordinates – Constraints – Virtual work – Energy

and Momentum.

UNIT-II LAGRAGE’S EQUATIONS 10Hrs

Derivation of Lagrange‘s equations – Examples – Integrals of motion.

UNIT-III HAMILTON’S EQUATIONS 13 Hrs

Hamilton‘s Principle – Hamilton‘s equation – Other variational principle.

UNIT-IV HAMILTON – JACOBI THEORY 10 Hrs

Hamilton principle function - Hamilton-Jacobi Equation – Reparability.

UNIT-V CANONICAL TRANSFORMATION 16 Hrs

Differential forms and generating functions – Special transformations – Lagrange and

Poisson brackets.

Text Book

Green wood.D, Classical Dynamics, Prentice Hall of India, New Delhi, 1985.

Reference Books

105

Rane.N.C and Joag P.S.C., Classical Mechanics, Tata McGraw Hill, New Delhi, 1991

Synge J.L. and Griffth B.A. Principles of Mechanics, McGraw Hill Book Co., New York,

1970.

PMAM205 OPERATIONS RESEARCH


Category : Core IX Hours/Week : 5

Class & Major : I M.Sc Mathematics Total hours : 65

Objectives


Introduce the various techniques of research.

Apply real life problems in Business and Management.

UNIT-I LINEAR PROGRAMMING: REVISED SIMPLEX METHODS 13 Hrs

Mathematical foundations-Revised(Primal) Simplex method-Post optimal or sensitivity

analysis-Parametric Linear programming.

UNIT-II INTEGER LINEAR PROGRAMMING 10 Hrs

Solutions methods of integers programming-branch and bound algorithm-cutting-plane

algorithm

UNIT-III DYNAMIC (MULTISTAGE) PROGRAMMING 15 Hrs

Elements of the DP model: The cpital budjeting example-More on the definition of the

state-Examples of DP models and computations-Problems of dimensionality in dynamic

programming-Solutions of linear program by Dynamic programming.

UNIT-IV MARKOVIAN DECISION PROCESS 14 Hrs

Scope of the Markovian decision problem:The Gardener example-Finite-stage Dynamic

programming model-Infinite-stage Model-Linear programming solution of the Markovian

Decision problem

UNIT-V NON-LINEARPROGRAMMING 13 Hrs

Unconstrained extremal problems-Contrained extremal problems-Uncontrined non-linear

algorithms.

Text Book

Handy A.Taha, Operations Research, Macmillan Publishing Company, New york, 1992.

Reference Book

Kapoor .V.K, Introduction to Operation Research, Sulthan Chand & Sons, New Delhi,

1996.

106

PMAM305 COMPLEX ANALYSIS


Category : Core X Hours/Week : 6

Class &Major : II M.Sc Mathematics Total Hours : 78

Objectives


Understand the foundation for topics in Advanced Complex Analysis.

Develop clear thinking and analyzing capacity for research.

Introduce the fascinating world of complex variable theory which is markedly different

from analyzing of real variable.

UNIT-I THE GENERAL FORM OF CAUCHY THEOREM 16 Hrs

Chains and cycles – Simple continuity – Homology – The General statement of Cauchy‘s

Theorem – Proof of Cauchy‘s Theorem – Local exact differential – Multiply connected regions –

Residue Theorem – The argument principle.

UNIT-II EVALUATION OF DEFINITE INTEGRALS AND HARMONIC FUNCTIONS

AND POWER SERIES EXPANSIONS 16Hrs

Evaluation of definite integrals – Schwarz theorem – Weierstrass theorem – Taylor‘s series

–Laurent series.

UNIT-III PARTIAL FRACTION AND ENTIRE FUNCTIONS 16 Hrs

Gamma Function_ Equicontinuity-Normality and compactness-Arzela‘s theorem-Families

of analytic function-The Classical definition.

UNIT-VI RIEMANN MAPPING THEOREM 16 Hrs

Statement and Proof- Behavior at an angle Schwarz-Christoffel formula – Mapping on a

rectangle _ Functions with mean value property – Harnack;s principle.

UNIT-V ELLIPTIC FUNCTIONS 14 Hrs

Simply periodic functions-Doubly periodic functions.

Text Book

Lars V. Ahlfors, Complex Analysis, McGraw Hill, New York, 1979.

Reference Books

Heins M., Complex Function Theory, Academic Press, New York ,1968.

PMAM306 DISCRETE MATHEMATICS


Category : Core XI Hours/Week : 6

Class & Major : II M.Sc Mathematics Total Hours : 78

Objectives

107


Understand the topics like lattices and their applications in switching circuits, finite

fields, polynomials and coding theory.

UNIT-I LATTICES 16 Hrs

Properties and Examples of Lattices – Distributive Lattices – Boolean Algebras – Boolean

Polynomials – Minimal Forms of Boolean Polynomials.

UNIT-II APPLICATIONS OF LATTICES 16 Hrs

Switching circuit s – Applications of Switching Circuits.

UNIT- III FINITE FIELDS 14 Hrs

Finite fields.

UNIT-IVFINITE FIELDS AND POLYNOMIALS 16 Hrs

Irreducible Polynomials over Finite Fields – Factoraization of Polynomials over Finite

Fields.

UNIT-V CODING THEORY 16 Hrs

Linear codes – Cyclic codes.

Text Book

Rudolf Lidl & Gunter Pilz, Applied Abstract Algebra, Springer Verlag, NewYork, 2006.

PMAM307 TOPOLOGY


Category : Core XII Hours/Week : 6


Objectives


Understand topological spaces, continuous function, connectedness, countability and

separation axioms.

Learn the concepts in Real Analysis.

Develop analytical thinking.

UNIT-I 16 Hrs

Partially ordered sets, lattices, metric spaces, definitions and examples, open sets and

closed sets convergence, completeness and Baires theorem, continuous mappings, spaces of

continuous function Euclidean and Unitary spaces.

UNIT-II 16 Hrs

Definitions and examples, elementary concepts, open base and open sub base, weak

topologies and the function algebras. Compactness, Compact spaces, product spaces, tychonoff‘s

theorem and locally compact spaces and compactness for metric spaces, Ascolis theorem.

108

UNIT-III 16 Hrs

T1 spaces Hausdroff‘s spaces, completely regular spaces and normal spaces,Urysohn‘s

lemma, the Tietae Extension theorem, Uryshon‘s embedding theorem, the stone-Cech

compactification.

UNIT-IV 14 Hrs

Connected spaces, the components of a space totally disconnected spaces and locally

connected spaces.

UNIT-V 16 Hrs

The Weierstrass approximation theorem, the Stone-Weierstrass theorem, locally compact

Hausdorff, the extended Stone Weierstrass theorem.

Text Book

George F. Simmons, Introduction to Topology and Modern Analysis, McGraw Hill, New

Delhi,1999.

Reference Books

Dugunji.J., Topology, Prentice Hall of India, New Delhi, 1975.

Munkers R James, A first course in Topology, Pearson Education, Pvt.Ltd., New Delhi,

2002.

PMAM308 NUMBER THEORY AND CRYPTOGRAPHY


Category : Core XIII Hours/Week : 5


Objectives


Understand elementary ideas from Number Theory which will have applications in

cryptology.

Apply the methods of Cryptography.

UNIT-I NUMBER THEORY 15 Hrs

Elementary Number Theory – Time Estimates for doing arithmetic – Divisibility and

Euclidean algorithm – Congruences – Application to factoring.

UNIT-II CRYPTO SYSTEMS 15 Hrs

Introduction to Classical Crypto systems – Sum simple Crypto systems – Enciphering

matrices DES.

UNIT-III FINITE FIELD 15 Hrs

Finite Fields and quadratic Residues – Reciprocity.

UNIT–IV CRYPTOGRAPHY 15 Hrs

Public Key Cryptography.

109

UNIT-V ELLIPTIC CURVES 15 Hrs

Primality, Factoring and Elliptic Curves.

Text Book

Neal Koblitz, A Course in Number Theory and Cryptography, Springer Verlag, New

York, 1987.

Reference Books

Niven and Zuckermann, An Introduction to Theory of Numbers, Wiley Eastern, Pvt.Ltd,

New Delhi, 1976.

Ireland.K and M. Rosen, A Classical Introduction to Modern Number Theory, Springer –

Verlag, New York, 1972.

PMAM405 FUNCTIONAL ANALYSIS

Semester : IV Credit : 4

Category : Core XIV Hours/Week : 6


Objectives


Study the details of Banach and Hilbert Spaces.

Study the three structure theorems of Functional Analysis.

Introduce Operator theory leading to the spectral theory of Operators on a Hilbert space.

UNIT-I BANACH SPACES 13 Hrs

Definition –Some examples-Continous Linear Transformation –the Hahn-banach theorem-

The natural embedding of N in N**

.

UNIT-II BANACH SPACES AND HILBERT SPACES 13 Hrs

Open Mapping Theorem-Conjucate of an operator-Definition and some simple properties-

Orthogonal sets.

UNIT-III HILBERT SPACES 10 Hrs Conjucate space H

*-Adjoint of operator-Self-adjoint operator-Normal and Unitary

Operators-Projections.

UNIT-IV PRELIMINARIES ON BANACH ALGEBRAS 15 Hrs Definition and some examples-Regular and single elements-Topological divisors of zero-

Spectrum-The formula for the spectral radius-The radical and semi-simplicity.

UNIT-V STRUCTURE OF COMMUTATIVE BANACH ALGEBRAS 14 Hrs Gelfand Mappping-Application of the formula r[x]=lim║x

n║

1/n-Involutions on Banach

Algebras-Gelfand-Neumark Theorem.

110

Text Book

G.F.Simmons, Introduction to topology aand Modern Analysis, McGraw Hill

international Book Company, New York,1963.

Reference Books

Bachman & L.Narici, Functional Analysis, Academic Press, New york, 1966.

E.Kreyszig, Introduction of Functionan Analysis with Applications, Johu Wiley & Sons,

New York, 1978.

W.Rudin, Functional Analysis, Tata McGraw Hill Book Company , New Delhi,1963.

PMAM406 MATHEMATICAL STATISTICS


Category : Core XV Hours/Week : 6


Objectives


Introduce axiomatic approach to probability theory to study some statistical

characteristics, discrete and continuous functions and their properties.

Study some basic limit theorems of probability.

Introduce sampling theory significance tests, estimation and testing of hypothesis.

UNIT-I CHARACTERISTIC FUNCTIONS 10 Hrs

Properties of characteristic functions- characteristic functions and moments-semi-

invariants- characteristic function of the sum of the independent random variables-Determination

of distribution function by the characteristic function- characteristic function of multidimensional

random vectors-Probability generating function.

UNIT- II SOME PROBABILITY DISTRIBUTIONS 10 Hrs

One point, two point, Binomial-Polya-Hypergeometric-Poisson(discrete) distributions-

Uniform-normal gamma-Beta-Cauchy and Laplace (continuous) distribution.

UNIT-III LIMIT THEOREM 13 Hrs

Stochastic convergence-Bernoulli law of large numbers-Convergence of sequence of

distribution functions-Levy-Cramer theorem-de-Moivre Lapalace theorem-Poisson, Chebyshev,

Khintchine weak law of large numbers-Lindberg Theorem-Lyapunov Theorem-Borel-Cantelli

Lemma-Kolmogorov Inequality and Kolmogorov Strong law of large numbers.

UNIT-IV SAMPLE MOMENTS AND THEIR FUNCTIONS 10 Hrs

Notion of a a sample and a statistic-Distribution functions of ,S2 and [ ,S

2]-

2

distribution-Student t-Distribution-Fisher‘s Z=-Distribution-Snedecor‘s F-distribution of sample

mean from non-normal populations.

UNIT-V SIGNIFICANT TEST 15 Hrs

Concept of statistical test-Parametric tests for small and large samples-2 test.Estimation:

X X

111

Preliminary notion-Consistency estimation-Unbiased estimates-Sufficiency-Efficiency-

Asymptotically most efficient estimates-methods of finding intervals.

Text Book

M.Fisz, Probability Theory and Mathematical Statistics, John Wilry and sons, New

York,1963.

Reference Books

K.L.Chun, A Course in Probability Academic Press, New York, 1974

R.B.Ash, Real Analysis and Probability, Academic Press, New York, 1972

V.K.Rohatgi, An Introduction to Probability Theory And Mathematical Statistics, Wiley

Eastern Pvt.Ltd., New Delhi, 1983.

PMAM403 DIFFERENTIAL GEOMETRY


Category : Core XVI Hours/Week : 5


Objectives


Introduce space curves and their intrinsic properties of a surface and geodesics further the

non-intrinsic properties of surface and the differential geometry of surfaces are explored.

Apply the techniques of abstract algebra and analysis to geometrical problems and facts.

UNIT I SPACE CURVES 15 Hrs

Definition of a space curve- Arc length – tangent – normal and binormal – curvature and

torsion – contact between curves and surfaces – tangent surface – involutes and evolutes – Intrinsic

equations – Fundamental Existence theorem for space curves – Helices.

UNIT II INTRINSIC PROPERTIES OF A SURFACE 15 Hrs

Definition of a surface – curves on a surface – Surface of revolution – Helicoids – Metric –

Direction coefficients – families of curves – Isometric correspondence – Intrinsic properties.

UNIT III GEODESICS 15 Hrs

Geodesics – Canonical geodesic equations – Normal property of geodesics – Existence

theorems – Geodesic parallels – Geodesics curvature – Gauss Bonnet theorem – Gaussian

curvature – surface of constant curvature.

UNIT IV NON INTRINSIC PROPERTIES OF A SURFACE 15 Hrs

The second fundamental form – Principal curvature – Lines of curvature – Developable –

Developable associated with space curves and with curves on surface – Minimal surfaces – Ruled

surfaces.

UNIT V DIFFERENTIAL GEOMETRY OF SURFACES 15 Hrs

Fundamental Equations of Surface theory – Fundamental Existence theorem for surfaces-

112

Compact surfaces whose points are umblics – Hilbert‘s lemma – Compact surface of constant

curvature – Complete surfaces.

Text Book

T.J. Willmore, An Introuduction to Differential Geometry, Oxford University Press, New

York, 2002.

Reference Books

J.A. Thorpe, Elementary topics in Differential Geometry, Springer Verlag, New York,

1979.

Wilhelm Klingenberg, A course in Differential Geometry, Springer Verlag, New York,

1978.

PMAM 404 DIFFERENCE EQUATIONS


Category : Core XVII Hours/Week : 6


Objectives


Introduce the process of discretization, Discrete version of Differential Equations,

Discrete oscillation and the asymptotic behavior of solutions of certain class of

Difference Equations for linear cases only.

Provide the students with the application of Z-transforms.

Analyze and solve problems in Economics.

UNIT-I LINEAR DIFFERENCE EQUATIONS OF HIGHER ORDER 13 Hrs

Difference Calculus-General Theory of Linear Difference Equations-Linear Homogeneous

Equations with Constant Coefficient-Linear non-homogeneous equations-Method of undetermined

coefficients, the method of variation of constants-Limiting behavior of solutions.

UNIT-II SYSTEM OF DIFFERENCE EQUATIONS 10 Hrs

Autonomous system-The Basic Theory-The Jordon Form-Linear Periodic System.

UNIT-III THE Z-TRANSFORM METHOD 14 Hrs

Definition, Example and Properties of Z-Transform-The Inverse Z-transform and solution

of Difference Equations: Power series method, partial fraction mrthod, the inverse integral

method-Volterra Difference Equation of convolution tyoe-Volterra systems.

UNIT-IV ASYMPTOTIC BEHAVIOUR OF DIFFERENCE EQUATION 14 Hrs

Tools and Approximation-Poincare‘s Theorem-Second order difference equation-

Asymptotic diagonal systems-Higher order Difference Equations.

UNIT-V OSCILLATION THEORY 14 Hrs

Three term Difference Equations-Non linear Difference Equations-Self-Adjoint second

113

order equations.

Text Book

Saber N. Elaydi, An Introduction to Difference Equations, Springer Verlag New York,

1996.

Reference Books

V.Lakshmi kantham and Trigiante, Theory of Difference Equations, Academic Press, New

York, 1988.

Peterson, A Difference Equations, An Introduction with Applications, Academic Press,

New York, 1991.

PCAM505 OPERATIONS RESEARCH

Semester : V Credit : 4

Category : Core XVIII Hours/Week : 4

Class&Major : II M.Sc Mathematics Total Hours : 52

Objectives


Introduce various techniques of research.

Solve real life problems in Business and Management.

Enlighten on applications in management techniques.

UNIT I LINEAR PROGRAMMING PROBLEM 10 Hrs

Linear programming Models: Mathematical formulation- Graphical solution of linear

programming models – Simplex methods – Artificial variable techniques (Simple problems).

UNIT II TRANSPORTATION AND ASSIGNMENT PROBLEM 10 Hrs

Transportation and assignment models: Mathematical formulation of transportation

Problem/Methods of finding initial basic feasible solution – Optimum solution – Degeneracy –

Mathematical formulation of assignment problem –Hungarian algorithm (Simple problems).

UNIT III INTEGER PROGRAMMING PROBLEM 12 Hrs

Integer programming models: Gomory‘s IPP method – Gomory‘s mixed integer method –

Branch and bound techniques (simple problems).

UNIT IV PERT AND CPM 10 Hrs

Scheduling by PERT and CPM: Network construction – Critical path method- PERT

(simple problems).

UNIT V QUEUEING MODELS 10 Hrs

Queueing Models: Characteristics of queueing Models – Poisson queues – (M/M/1) :

(FIFO/ / ), (M/M/1) : (FIFO/ N/ ), (M/M/C) : (FIFO/ / ),(M/M/C) : (FIFO/N/ )

models (Simple problems only).

114

Text book

Taha. H.A. Operations research; An Introduction, Prentice Hall of India, Pvt Ltd., New

Delhi, 2000.

Reference Book

Kapoor .V.K, ―Introduction to Operation Research‖ Sulthan Chand & Sons, Pvt.Ltd, New

Delhi, 1996.

PCAM103 MATHEMATICAL FOUNDATION



Class &Major : I MCA Total Hours : 52

Objectives


Expose various tools in solving numerical problems.


UNIT-I LOGIC 10 Hrs

Logic:introduction – TF statements – connectivities – atomic and compound statements

– well formed formulae – tautology – tautology implications and equivalence of a formulae.

UNIT-II REPLACEMENT PROCESS 10 Hrs

Replacement process – functionally complete sets of connectives and duality law – normals

forms – principles of normal forms – theory of inference for predicate calculus – statement

involving more than one quantifier.

UNIT-III SYSTEM OF LINEAR EQUATIONS 10 Hrs

Gauss - Elimination methods - Pivoting-Gauss - Jordan Elimination method –Gauss -

Seidal iteration method.

UNIT-IV NUMERICAL DIIFFERENTIATION 10 Hrs Numerial Differentiation – Numerical Intergration – Newton‘s Cotes method – trapezoidal

rule – Simpon‘s rule.

UNIT-V NUMERICAL DIFFERENTIAL EQUATIONS 12 Hrs

Initial value problem – Euler‘s method – Runge – kutta method – Boundary value problem.

Text Book

Termblay.J.P, Manohar.R, Discrete Mathematical Structures with Applications to

Computer science, Tata Mc Graw Hill Publications Company, Pvt.Ltd, New Delhi, 1997

.

Reference Books

Sastry.S.S., Introductory Methods of Numerical Analysis, Prentice Hall of India Pvt.Ltd,

New Delhi, 2000.

115

Rajaraman.V, Computer Oriented Numerical Methods, Prentice Hall of India Pvt.Ltd,

New Delhi, 2000.

PMAE 101 LateX and MATLab


Category : NonMajor Elective Hours/Week : 5


Objectives


Introduces documentation in computer

Develop computer skill.

UNIT I DOCUMENTATION 10 Hrs

Document layout and organization-Document class, page style, parts of the document, text

formatting, TeX and its Offspring, What‘s different in Latex 2€,Distinguishing Latex 2€ and

Basics of Latex file.

UNIT II COMMANDS 15 Hrs

Commands and environment-commands names and argument, Environments, Contents,

Fine – tuning text, Word Division, Labeling, Referencing, Displayed Text-Changing font,

Centering and indenting, Lists, Generalised Lists, theorem-like declaration ,Tabulator stops,

Boxes.

UNIT III TABLES 15 Hrs

Tables, printing literal text, Footnodes and marginal notes, Drawing pictures using Latex,

Mathematical formulas-Mathematical environment, Main elements of math mode, Mathematical

symbols, Addition elements, Fine – tuning Mathematics.

UNIT IVMATLAB 12 Hrs

Introduction-Basics of MATLAb, Input-Output, File types-Platform dependence-General

commands-Interactive Computation: Matrices and Vectors.

UNIT V FUNCTIONS 13 Hrs

Matrix and Array operation-creating and using Inline functions-Using Built –in functions

and On-Line Help-Saving and loading data-Ploting Simple graphs,Basics programming in

MATLAB,creating cps files using MATLAB.

Text Books

Daly P.W, A Guide to LaTeX by H.Kopka, Adison Wesley, London,1999.

Rudra Pratap,Getting started with MATLAB – A Quick introduction for Scientists and

Engineers, Oxford University Press, New York, 2003.

116

PMAE102 OPERATIONS RESEARCH


Category : NME Hours/Week : 5

Class & Major: I PG Total Hours : 65

Objectives


Introduce various techniques of research.

Solve real life problems in Business and Management.

Enlighten on applications in management techniques.

UNIT-I LINEAR PROGRAMMING PROBLEM 13 Hrs

Mathematical Formulation of the Problem- Graphical Solution Method -General Linear

Programming Problem - The Computational Procedure- Use of Artificial Variable Techniques-

Big- M Method Simple problems.

UNIT-II TRANSPORTATION PROBLEM 13 Hrs

General Transportation Problem-The Transportation Table-Loops in Transportation

Tables-Solution of a Transportation Problem-Finding an Initial Basic Feasible Solution-Test for

Optimality-Degeneracy in Transportation Problem-Transportation Algorithm(MODI Method).

Simple problems.

UNIT-III ASSIGNMENTPROBLEM 13 Hrs

Mathematical Formulation of the problem- the Assignment method- Special Cases in

Assignment Problem. Simple problems.

UNIT-IV GAME THEORY 13 Hrs

Two-person Zero-sum Games- Some Basic Terms- The Maximin - Minimax Principle-

Games Without Saddle Points-Mixed Strategies- Graphic Solution of 2×n and m×2 Games-

Dominance Property. Simple problems.

UNIT-V NETWORK SCHEDULING BY PERT/CPM 13 Hrs Network and Basic Components- Logical Sequencing- Rules of Network Construction-

Critical Path Analysis- Probability Considerations in PERT- Distinction between PERT and

CPM. Simple problems.

Text Book

Kanti Swaroop,Gupta P.K.and Manmohan, Operations Research, Sultan Chand & Sons,

New Delhi, 2003.

Reference Books

117

Kapoor .V.K, Introduction to Operations Research, Sulthan Chand & Sons, New Delhi,

1996.

Taha.A Handy, Operations Research-An Introduction, Prentice hall of India Pvt Ltd, New

Delhi, 2000.

PMAE 202 FUZZY MATHEMATICS




Objectives


Offer Fuzzy set, Fuzzy Logic and its applications.

Provide the basic knowledge in Fuzzy Mathematics to the students.

UNIT-I FUZZY SET 13 Hrs

Fuzzy set operations – properties of fuzzy set – Non interactive fuzzy sets – Alternative

fuzzy set operations.

UNIT-II CLASSICAL LOGIC 13 Hrs

Tautoloies – Contradictions – Equivalence – Execlusive or and Exclusive nor – Logical

proof – deflective Inferences – Fuzzy logic- Approximate Reasoning –Other forms of the

Implication operation.

UNIT-III FUZZY SYSTEM 13 Hrs

General discussion – Fuzzy controllers an overview – Fuzzy controllers An Example –

Fuzzy system and Neural Networks-Fuzzy Automata – Fuzzy Dynamic Systems.

UNIT-IV ENGINEERING APPLICATIONS 13 Hrs Introduction – Civil Engineering – Mechanical Engineering – Computer Engineering –

Reliability Theory - Robotics.

UNIT-V MISCELLANEOUS APPLICATION 13 Hrs

Introduction – Medicine – Economics – Interpersonal Communications – Other

Applications.

Text Books

George J.Klir and Bo Yuan, Fuzzy sets and Fuzzy logic-Theory and applications, Prentice

hall India, New Delhi, 2001.

Timothy J.Ross, Fuzzy Logic with Engineering Applications John Wiley & Sons Pvt.Ltd,

The Atrium, Southern Gate Chichester, West Sussex PO198SQ, England, 2004.

Reference Books

118

Kaufman.A, Introduction to the theory of Fuzzy subsets Vol.I, Academic Press, New

york ,1975.

Zimmermannn.H.J, Fuzzy set theory and its Application, Allied Publishers, Chennai,1996.

PMAE203 DISCRETE MATHEMATICS



Class & Major : II PG Total Hours : 65

Objectives


Understand the concepts of Set Theory and Finite Automata.


UNIT-I LOGIC 15 Hrs

Introduction – TF statements – Connectives – atomic and compound statements – Well formed

Formulae.

UNIT-II TAUTOLOGY 15 Hrs

Tautology – Tautology implications and equivalence of a formulae. Replacement process.

UNIT-III LATTICES AND BOOLEAN ALGEBRA 15 Hrs

Functionally complete sets of connectives and duality law – normal forms Principles of

normal forms –Lattices – Some properties of lattices – Hasse digrams – notations- Boolean

algebras – Boolean polynomials.

UNIT-IV GRAPH THEORY 10 Hrs

Basic concepts – Digraph,Incidence and Degree-Subgraph - Isomorphism.

UNIT-V FINITE AUTOMATA 10 Hrs

Introduction – Finite automata - Definition of finite automation-representation of finite

automation-acceptability of a string by finite automata.

Text Book

Venkataraman.M.K., Sridharan.N & Chandrasekaran.N., Discrete Mathematics, The

National publishing company, 2000.

Reference Books

Sundaresan.V.ganapathy Subramanian.K.S & Ganesan.K Discrete Mathematics,

A.R.Publications, 1996.

Tremblay.J.P, Manohar.R, Discrete Mathematical Structures with Applications to

Computer Science, Tata Mc Graw Hills Publications Company Pvt.Ltd., New Delhi, 1999.

PMAE301 FUZZY LOGIC

119



Class & Major : II PG Total Hours : 52

Objectives


Understand Fuzzy set, Fuzzy relations, Decompositions theorem and its applications.

Provide the basic knowledge in Fuzzy Mathematics to the students.

UNIT-I FUZZY SET 10 Hrs

Fuzzy set- Alpha-cut- Characteristic function- membership function- Properties- Union and

Intersection- Cardinality- subsethood.

UNIT-II DECOMPOSITION THEOREM 10 Hrs

First decomposition theorem- Second decomposition theorem- Third decomposition

theorem- theorems and examples.

UNIT-III FUZZY SUBSET 10 Hrs

Fuzzy subset- level- Complement fuzzy subset- fuzzy subgroup- level subgroup- fuzzy

normal- fuzzy ideal- fuzzy conjugate and fuzzy characteristic subgroups.

UNIT-IV FUZZY RELATION 10 Hrs

Crisp relation- Cardinality of crisp relation- properties- Fuzzy relation- Cardinality of

Fuzzy relations- Properties.

UNIT-V LINGUISTIC VARIABLES 12 Hrs

Linguistic variables- Fuzzy logic- Classical logics revisited- Linguistic truth tables- fuzzy

languages.

Text Book

George J.Klir and Bo Yuan, Fuzzy sets and Fuzzy logic-Theory and applications, Prentice

hall India, New Delhi, 2001.

Reference Books

Kaufman.A, Introduction to the theory of Fuzzy subsets Vol.I, Academic Press, New York,

1975.

Zimmermannn.H.J, Fuzzy set theory and its Application, Allied Publishers, Chennai, 1996.

PMAX 201 FUNDAMENTALS OF MATHEMATICS



Class and Major : I M.Sc. Mathematics

Objectives

120


Acquire indepth knowledge about matrices and complex numbers.

Inculcate innovative teaching methods.

Apply the technique of differentiation to motion in physics.

UNIT: I MATRICES 8 Hrs

Introduction to Matrix-Adjoint of the matrix-Inverse of the matrix-Rank of the

matrix-Consistency of the linear equations.

Activity: Lecture, Chart presentation

UNIT: II VECTOR ALGEBRA 8 Hrs

Vectors - Angle between two vectors-scalar product-vector product-product of three

vectors-lines and planes.


UNIT III COMPLEX NUMBERS 8 Hrs

The Complex number system - Conjugate of the complex numbers-ordered pair of

representation-modulus of the complex numbers-De-moivre‘s theorem and its applications-roots of

the complex numbers.

Activity: Lecture, Chart presentation.

UNIT: IVANALYTICAL GEOMETRY 8 Hrs

Conic: parabola-ellipse-hyperbola. Parametric forms of conics.

Activity: Lecture, Model presentation.

UNIT: V DIFFERENTIAL CALCULUS 8 Hrs

Derivative as measure – Rate of Change – Velocity – Acceleration – Related Rates derivative

as a measure of Slope.

Activity: Lecture, Power Point presentation

Reference Books

Narayanan and Manicavachagom Pillay.T.K,Algebra VolumeI, Viswanathan.S Publishers

& Printers, Pvt.Ltd. Chennai,1996.

Narayanan and Manicavachagom Pillay. T.K, Trignometry ,Viswanathan.S

Publishers & Printers, Pvt.Ltd. Chennai,1994.

Narayanan and Manicavachagom Pillay. T.K,Vector Algebra, Viswanathan.S Publishers &

Printers, Pvt.Ltd. Chennai,1997.

Narayanan and Manicavachagom Pillay.T.K, Analytical Geomentry of 2D, Viswanathan.S

Publishers & Printers, Pvt.Ltd. Chennai,1993.

Target Group : 12th

Students of Government School.

PMAX 202 ELEMENTARY MATHEMATICS


121


Class & Major: I M.Sc. Mathematics

Objectives


Acquire indepth knowledge about geometrical concepts.

Inculcate innovative teaching methods.

Apply the techniques of analytical geometry in mensuration .

UNIT: I NUMBER THEORY 8 Hrs

Geometric progression-Arithmetic Progression


UNIT: II ALGEBRA 8 Hrs LCM,GCD-Square root-Factorization-Roots of Equations


UNIT: III SET LANGUAGE 8 Hrs

De-Morgan‘s law-Functions-Ordered pairs-Arrow diagram-Tabular column Method.


UNIT: IV THEORITICAL GEOMETRY 8 Hrs

Tangent-Similar triangle.


UNIT: V MENSURATION 8 Hrs

Sphere-Cone-Cylinder-Combined Figures.

Activity: Lecture, Modern presentation

Reference Books

Narayanan and Manicavachagom pillay.T.K, Analytical Geomentry of 3D, ,Viswanathan.S

, Publishers & Printers, Pvt.Ltd. Chennai 1993.

Aggarwal B.M, Business Mathematics and statistics Fundamentals ,Sultan Chand & Sons

,New Delhi, 2003.

Target Group : 10th

Students of Government School.

Evaluation Components

S.No. Evaluation Components Marks

1 Attendance 10

2 Communications Skills 10

3 Interpersonal Skills/Usage of

Teaching Aids

40

4 Diary of Events 20

122

5 Report Presentation 20

Total 100

DEPARTMENT OF STATISTICS

With effect the batch 2012-15 onwards.

Preamble

UG: Course profile, list of courses offered to other department & the syllabi of revised courses

offered in the first three semesters are presented in this booklet.

STATISTICS COURSES OFFERED : UG

Semester Part category Course

Code

Course Title Class &

Major

Contact

Hrs/week

credits

Min Max

I III Allied UMAA105

UMAA107

UMAA109

Statistics – I

Statistical

Methods

Mathematical

statistics -I

I B.A(CE)

I.B.SC(ISM)/

I B.SC., CS

I B.SC(M)

6

6

6

5

4

5

5

4

5

II III Allied

Allied

Allied

Core-6

UMAA205

UMAA207

UMAA211

PCAM206

Statistics – II

Mathematical

Statistics – II

Business

statistics

Applied

Statistics

I B.A(CE)

I B.SC(M)

I BBA

I M.C.A

5

5

5

5

5

4

4

4

4

4

5

5

IV III Allied UMAA403

UMAA407

Business

Statistics

Bio Statistics

II B.COM/II

B.COM(CA)

II B.SC

(BIO)

5

5

5

5

5

5

NON MAJOR ELECTIVE COURSES: UG

Semester Part Category Course code Course title Contact hrs

per week

Credits

Max min

II IV Non major

elective UMAE203

Survey Techniques for

Research 4

2

2

III IV Non major

elective UMAE303

Inferential Statistics for

Business Decision

Making

4 2 2

IV IV Non major

elective UMAE403

Statics for Decision

making 4 2 2

V IV Non major UMAE503 Statistical data Analysis 4 2 2

123

ALLIED OPTIONAL: UG

UMAA105 STATISTICS – I


Category : Allied Hours/Week : 5T+1P

Class &Major : I BA Corporate Economics Total Hours : 78

Objectives:


Introduce various Statistical measures applicable in Business and Economic analysis.

Apply Statistical tools to business problems.

UNIT – I 12 Hrs

Nature, Scope and Significance: Nature and scope of Statistics – Significance and

Limitations of Statistics – Collection, classification and tabulation of dara.

UNIT – II (12 +4) Hrs

Presentation of Data: Diagrammatic and Graphic representation – Bar diagrams – Pie

diagrams – Histograms – Pictograms – Cartograms – Frequency Distribution –Frequency curve –

Graphs – Ogives – Lorenz curve.

UNIT – III (13+3) Hrs

Measures of Central Tendency: Arithmetic Mean – Median – Quartiles – Percentiles and

Deciles – Mode – Geometric mean and Harmonic mean.

UNIT – IV (13+3) Hrs

Measures of Dispersion: Range – Quartile deviation – Mean deviation – Standard deviation

– Co-efficient of variation.

UNIT – V (15+3) Hrs

Skewness and Kurtosis: Karl Pearson‘s and Bowley‘s co-efficient of Skewness – moments.

elective through EXCEL

Semester Part Category Course

code Course title

Contact

hrs per week

Credits

Max min

V IV Allied

Optional UMAA501

Statistical Data Analysis

through SPSS 5 4 4

124

Practical

Presentation of Data – Diagrams & Graphs.

Calculation of Measures of central tendency – Mean, Median, Mode, Geometric mean,

Hamonic mean.

Calculation of Measures of Dispersion – Range, Quartile delivation, Mean deviation,

standard deviation and its relative measures and Skewness.

Text Book

Gupta S.P., statistical Methods, Sultan Chand and Sons, 2011

Reference Book

Agarwal B.L., Basic Statistics, Wiley Eastern. 2002

UMAA107 STATISTICAL METHODS



Class &Major : I B.sc ISM / I B.Sc., Computer Science Total Hours : 78

Objectives:


Understand the significance of statistical techniques.

Provide adequate knowledge about statistical methods.

UNIT – I (12+5) Hrs

Introduction – Origin and growth of Stastics – definition – Applications of Statistics –

limitations of statistics – collection of data – Primary and Secondary data – methods of collecting

Primary data – drafting the questionnaire – sources of secondary data – Classification and

Tabulation of data – Meaning and types of classification – Formation of frequency distribution –

Parts of tables – types of tables.

UNIT –II (12+4) Hrs

Diagrammatic and graphical representation of Statistical data – Significance of diagrams

and graphs – types of diagrams – one dimensional diagrams, two dimensional diagrams –

pictograms and cartograms. Graphs of frequency distribution – Histogram, frequency polygon,

frequency curve – Ogive curves.

UNIT –III (13+4) Hrs

Measures of central tendency – Requisites of a good average – types of averages –

Arithmetic mean, Median, Mode,Geometric mean, Harmonic mean and their merits and demerits –

Graphical determination of Medial, Quartiles, deciles, Percentiles and mode

UNIT – IV 13 Hrs

Measures of Dispersion – Range, Quartile deviation, Mean deviation, Standard deviation

and their relative measures, combined standard deviation, Coefficient of variation – Merits and

demerits of these methods – Lorenz curve. Skewness – Measures of Skewness – Karl Pearson‘s

125

coefficient of skewness, Bowley‘s coefficient of skewness – moments – Measure of skewness

based on moments and Measure of Kurtosis.

UNIT – V 15 Hrs

Correlation Analysis – Significance or the study of correlation – types of Correlation-n

Methods studying correlation – scatter diagram method, Graphic method, Karl Pearson‘s co-

efficient of Correlation, Spearman‘s rank correlation coefficient, Concurrent deviation method –

Properties of Coefficient of Correlation. Regression Analysis – uses of Regression analysis –

Regression line – Regression equations – properties of regression.

Practical

Presentation of data – Diagrams & Graphs

Calculation of Measures of central tendency – Mean, Median, Mode, Geometric Mean,

Harmonic mean.

Calculation of Measures of Dispersion – Range, Quartile deviation, Mean Deviation,

standard deviation and its relative measures and Skewness

Karl Pearson‘s correlation coefficient

Regression equation of X on Y & Y on X

Text Books

Gupta S.P., Statistical Methods, Sultan Chand and Sons, 2011.

Reference Book

Gupta. S.C and Kapoor. V.K Elements of Mathematical Statistics, Sultan chand and Sons,

2006.

Snedecor G.W. and Cochran W.G., Statistical Methods, Oxford Press and IBH. 1967.

UMAA109 MATHEMATICAL STATISTICS – I

(Replaces the syllabus UMAA101 Mathematical Statistics – I found in Academic Council

Booklet –I )



Class &Major : I B.sc Mathematics Total Hours : 78

Objectives:


Acquire Knowledge about Statistical Methods.

Introduce Probability distribution

Apply Statistical methods for Mathematical Problems.

UNIT – I (12+5) Hrs

Introduction – Nature, Sope and limitations of Statistical Methods – collection,

Classification and Tabulation of data – Diagrammatic and graphical representation of various types

of Statistical data – Measures of central tendency – Arithmatic mean, Median, Mode, Geometric

mean, Harmonic mean and their merits and demerits.

126

UNIT-II (12+4) Hrs

Measures of Dispersion – Range, Quartile deviation, Mean deviation, Standard deviation

and their relative measures, combined Standard deviation, Lorenz curve skewness – Kurtosis.


Concept of Bivariate distribution – correlation Analysis – Karl Pearson‘s correlation co-

efficient – Spearman‘s Rank correlation coefficient – Regression Analysis – Regression equations

– properties – methods of Least Squares for fitting straight line – simpleprobles.

UNIT- IV 13 Hrs

Sample space – Events, Definition of Probability(Classical, Statistical and Axiomatic) –

addition and Multiplication laws of probability – Indepedence of events – Conditional Probability

– Baye‘s theorem – simple problems.

UNIT-V 15 Hrs

Random variables(discrete and continuous) –Distribution function – Probability density

function – Marginal and conditional distributions – Mathematical Expection – Addition and

Multiplication theorem – Moment generating function – Characteristic function – Uniqueness

theorem(Statements only )- Chebychev‘s Inequality- simple problems.

Practical

Presentation of data – diagrams & Graphs.

Calculation of Measures of central tendency – Mean, Median , Mode, Geometric mean,

Harmonic mean.

Calculation of Measures of Dispersion – Range, Quartile deviation, Mean deviation,


Karl Peason‘s correlation coefficient.

Regression equation of X on Y & on X.

Text Book

Gupta.S.C. and Kappor .V.K. Elements of Mathematical statistics, Sultan and Sons, 2006.

Hogg.R.V. and Craig.A.T., Introduction to Mathematical Statistics, Macmillan. 1998.

Mood . A.M. Graybill. F.A and Boes D.G, Introduction to theory of Statistics, Mc graw

Hill, 1974

Wiley – Hoel P.G, Introduction to Mathematical Statistics, 1971.

UMAA205 STATISTICS - II



Class &Major : I B.A Corporate Economics Total Hours : 65

Objectives:


Introduce various statistical measures applicable in Business and Economic analysis.

Understand the significance of forecasting techniques.

UNIT –I

127

Design of sampling: Population and sample – Types of sampling – Simple, Stratified and

systematic sampling – design of questionnaire – Sampling Errors – Sampling Design.

UNIT – II

Correlation Analysis: Karl Pearson‘s Correlation co-efficient – Rank correlation co-

efficient.

UNIT – III

Regression Analysis: Meaning - Regression lines – Regression – Rank correlation co-

efficient.

UNIT –IV

Index numbers: Meaning, uses - types of Index numbers – weighted and unweighted index

numbers – Consumer price index numbers – time reversal tests.

UNIT V

Analysis of Time Series – Components of time series – Measurement of secular Trend –

Graphical method, semi average method, moving average method and method of least squares –

Measurement of seasonal variation – simple average method, ratio to moving average method –

Uses of time Series.

PRACTICAL

Karl Peason‘s correlation coefficient

Spearman‘s rank correlation

Regression equation of X on Y

Regression equation of Y on X

Index numbers

Moving average method

Text Book

Gupta S.P., Statistical Methods, Sultan chand and Sons, 2011

Reference Books

Agarwal B.L., Basic Statistics, Wiley Eastern, 2006.

Gupta.S.C. and Kapoor. V.K Fundamentals of Applied Statistics, Sultan and Sons, 2006.

UMAA207 MATHEMATICAL STATISTICS – II

(Replace the syllabus UMAA201 Mathematical Statistics – II found in Academic Council

Booklet –I onwards)



Class &Major: I B.sc Mathematics Total Hours : 65

Objectives:


128

Introduce statistical models applicable to real-life situations.

Introduce the basic concepts in Statistics with applications in Mathematics.

Provide basic principles of experimentation and discuss the analysis of data relating to

agriculture, biological science and industry.

UNIT – I 12 Hrs

Theoretical distribution – Binomial, Poisson and Normal distribution – mean and variance

– moment generating function – moments – fitting of distributions.


Test of significance – Large sample test – Sampling of Attributes – Test for single

proportion – Test for difference of Proportions – Sampling of Variables – Unbiased estimate for

population mean and variance – standard error of sample mean – Test for single mean – Test for

difference of means – Test for difference of standard deviations.

UNIT –III (10+5) Hrs

Small sample tests – Students t-Test – Test for single mean –Test for difference of mean –

Dependent and Independent sample – Test for Correlation coefficient – Chi- F-test for testing

equality of population variances.

UNIT – IV 10Hrs

Tests of Hypothesis – Type I Error and Type II error – Power of a test – Neymann- Pearson

Lemma – Likelihood ratio test – Concept of Most Powerful test (Statements and results only)

simple problems. Test of Significance- standard Error – Interval Estimation – Confidence Intevals

for population mean,proportions and variance based on Normal, t and chi – square, F distributions.


Analysis of Variance – One- way & Two – way classifications – Mathematical model

assumptions

PRATICALS

Large Sample Test

Test of significance for single proportion.

Test for difference between two sample proportions.

Test for single mean.

Test for difference between two sample means.

Test for difference between two sample standard deviations.

Small Sample Test

Test for single mean.

Test for difference between two sample means- Independent samples.

Test for difference between two sample means –dependent samples.

Test for difference between two sample variances.

ANOVA

129

Analysis of variance – one way, two classification.

Text Book

Gupta S.C. and Kappor. V.K.,Elements of Mathematical Statistics, Sultan and Sons, 2006

Reference Books

Gupta S.C., and Kapoor. V.K., Fundamentals of Applied Statistics, Sultan and Sons, 2006.

Mood. A.M., Graybill.F.A and Boes D.G., Introduction to theory of statistics, MCGraw

Hill.1974

Wiley- Hoel.P.G., Introduction to Mathematical Statistics.1971

Gupta s.P., Statistical Methods, Sultan chand and Sons, 2011.

UMAA211 BUSINESS STATISTICS



Class &Major : I BBA Total Hours : 65

Objectives:


Provide knowledge in statistics for business problems.

Equip with various statistical methods for business forecasting.

UNIT- I (10+3) Hrs

Introduction- Nature, Scope and limitations of statistics – Collection of data –

Classification and tabulation – diagrammatic and graphical representation of statistical data.


Measures of Central tendency – Mean,Median,Mode, Geometric mean, Harmonic mean,

quartiles, deciles, percentiles – Measures of Dispersion – range, quartile deviation, mean deviation,

standard deviation, coefficient of variation, Lorenz curve.


Skewness – Karl Pearson‘s Bowley‘s & Kelly‘s –Moments – measures of skewness and

kurtosis based on moments.

UNIT – IV (10+3) Hrs

Index Numbers: Meaning uses – types of index numbers – weighted and unweighted index

numbers – consumer price index numbers – Time reversl and factors reversal test.


Analysis of Time Series – components of time series – Measurement of Secular Trend –

Graphical method, semi average method, Moving average method and method of Least squres –

Measurement of seasonal variation – Simple average method, ratio to moving average method –

Uses of Time Series.

130

PRACTICALS


Measures of location – Mean, Median, Mode , Geometric mean, Harmonic mean deviation

and its relative measures and skewness

Karl pearson‘s rank correlation

Spearman‘s rank correlation

Regression equation of X on Y

Regression equation of Y on X

Index numbers

Moving average method.

Text Book

Gupta S.P..,Statistical methods, Sultan Chand and sons, 2011.

Reference Books

Elhance D.N and Veena Elhance and P.M., Fundamentals of statistics, Aggarwal.

Gupta.S.C. and Kappor . V.K Fundamentals of Applied Statistics, Sultan Chand and sons,

2006

PCAM 206 APPLIED STATISTICS


Category : Core - 6 Hours/Week : 5

Class &Major : I MCA Total Hours : 65

Objectives:


Develop problem solving skills in sampling techniques and statistical inference.

Provide basic principles of experimentation and discuss the analysis of data relating to

agriculture, biological sciences and industry.

UNIT - I 13 Hrs

Correlation analysis – Karl Pearson‘s correlation coefficient – rank correlation co-

efficient – Multiple and Partial correlation (3 variables only) – Regression analysis – regression

equations – method of least squares – fitting of the curve of the form

(i) Y = ax + b (ii) Y = ax2+bx+c

(ii) Y =axb (iv) Y = ae

bx, Y= ab

x

UNIT – II 13 Hrs

Sample space – Definition of events – Axiomatic approach to probability – conditional

probability – Baye‘s theorem – random variables – continuous and discrete random variables –

distribution function of a random variable – characteristics of distribution – mathematical

expectation, variance – moment generating function – chebychev‘s inequality.

UNIT – III 13 Hrs

Bivariate distribution – distribution function – marginal and conditional distributions –

discrete distributions – Binomial, Poissson distribution. Continuous distribution – Normal and

Exponential distribution.

131

UNIT – IV 13 Hrs

Test of significance – Sampling Distribution – Standards Error – Hypothesis – Errors in

Sampling – Critical region – level of significance – Large sample Test – Sampling of Attributes –

Sampling of Variables. Small tests – students t- Test – Test for single mean – Test for difference of

mean – Dependent and Independent sample – Test for Correlation coefficient – Applications in

Medicine – Non parametic test – Chi- square test – Test for population variance, Goodness of fit,

Independence of Attributes – F- Test for testing equality of population variances

UNIT – V 13 Hrs

Analysis of variance – one – way, two – way classifications.

Statistical Quality Control - Introduction – Types of control charts – x- Charts, R- Charts, c-

Charts, p-Charts and its application in industry.

Note: No Derivation required Emphasis on concepts and applications.

Text Books

Gupta.S.C.and Kappor.V.K, Elements of Mathematical Statistics, Sultan Chand and Sons,

2006.

Gupta S.P., Statistical Methods, Sultan Chand and Sons, 2011.

Reference Books

Murthy M.N(1967)., ―Sampling theory and Methods‖, Statistical Publishing society,

Cacutta

Robert V.Hogg & Elliot A.Tanis(1983)., ―Probability and Statistical Inference‖, Macmillan

Publishing company, Newyork.

Mood A.M., Graybill. F.A & Boes.d.G ― Introduction to Mathematical statistics‖, McGraw

Hill, 1974.

Dr. Parimal Mukhopadhyay, ― Applied Statistics‖, Books and Allied(P) Ltd,2011.

Sundar Rao . P.S.S & Richard. J, ―Introduction to biostatistics and Research Methods‖, PHI

Learning Private Ltd., 2009.

UMAE203 SURVEY TECHNIQUES FOR SOCIAL RESEARCH


Category : Non Major Elective Hours/Week : 3T+1P

Class &Major: I UG Total Hours : 52

Objectives:


Acquire knowledge about survey techniques.

Apply various sampling methods for collection and analysis of data in social, economic and

scientific research.

UNIT – I 8Hrs

Introduction to survey methodology – objectives of the survey – types of Survey –

complete enumeration and sample survey – importance of sample survey – role of sampling theory

– types of sampling – bias and its effects.

132

UNIT –II 8Hrs

Sample random sampling – Selection of sample with and without replacement – estimation

of sample size – stratified random sampling – estimation of sample size with proportion –

construction of strata – Systematic sampling and cluster sampling.

UNIT – III 8Hrs

Collection of data – preparation of questionnaire and schedule – types of sampling and

non-sampling errors-Classification of data-tabulation of data- coding of data.

UNIT –IV (7+7) Hrs

Presentation of data- diagrammatic and graphical representation of dta.

UNIT – V (8+6)Hrs

Processing of data – simple statistical tools – measures of location and dispersion,

skewness and kurtosis, setting of hypothesis – interpretation of results.

Practical


Calculation of Measures of central tendency – Mean, Median, Mode, Geometric mean,

Harmonic mean.

Calculation of Measures of Dispersion – Range, Quartile deviation, Mean deviation,


Text Book

Text Book :1..Kothari C.R., Research Methodology, New Age International Publication

.2005.

Text Book : 2. Gupta s.P., Statistical Methods, Sultan chand &sons, 2006.

Reference Book

Gupta C.B., An Introduction to Statistical Methods, Vikas Publishing Houses,2002.

Gupta S.C. and Kappor V.K Mathematical Statistics, Sultan and sons, 2006.

PanneerseIvam R.,Research Methodology, Prentice hall of India, 2005.

Ravilochanan P., Research Methodology, Margham Publications, 2003.

Snedecor G.W.and Cochran W.G.., Statistical Methods, Oxford Press and IBH – 2006.

Gupta.S.C. and Kapoor.V.K, Fundamentals of Mathematical Statistics, Sultan and

Sons,2008.

UMAE303 INFERENTIAL STATISTICS FOR BUSINESS DECISION MAKING


Category : Non Major Elective Hours/Week : 3T+1P

Class &Major: I UG Total Hours : 52

Objectives:


133

Gain knowledge about Probability Theory.

Explore the applicability of various distribution in different disciplines.

UNIT – I 8 Hrs

Probability of an event – Sample space – Addition and Multiplication theorem –

conditional probability – simple problems. Concept of random variable – Mathematical

expectation – Additional and Multiplication theorem of expectation – Moment Generating function

– Joint, Marginal and conditional distribution – Simple problems.


Discrete probability distribution – Binomial and Poisson Distribution – Mean and variance

– moment generating function – moments – properties – Fitting of distributions.


Continuous probability distributions – Normal, Exponential, Gamma distribution – Mean

and variance – moment generating function – moments – properties – Fitting of distribution.

UNIT –IV (8+3) Hrs

Test of significance – Sampling distribution – Standard Error – Hypothesis – errors in

Sampling – critical region – level of significance – Large sample Test – Sampling of Attributes –

Test for single probation – Test for difference of Proportions – Sampling of Variables – Unbiased

estimate for population mean and variance – standard error of sample mean – Test for single mean

– Test for difference of means – Test for difference of standard deviations.


Small sample tests – Students t- Test – Test for single mean – Test for difference of means

– Depedent and Independent samples – Test for correlation coefficient Non- Parametic test –Chi

Square test – Test for Population variance, Goodness of fit, Independence of Attributes – F-test for

testing equality of population variance.

PRACTICALS

Large Sample Test

Test of significance for single proportion

Test for difference between two sample proportions

Test for single mean

Test for difference between two sample means

Test for difference between two sample standard deviations.

Small Sample Test

Test for single mean

Test for difference between two sample means – Independent samples

Test for difference between two sample means – dependent samples

Test for correlation coefficient

Test for difference between two sample variances.

ANOVA

Analysis of variance – one way, two way classification.

134

Text Book

S.C.Gupta and V.K.Kappor, Elements of Mathematical Statistics – Sultan Chand

And Sons, 2006

Refrence Books;

Hogg, R.V. and Tanis, E., Probability and Statistical Inference , Macmillan publishing

house, New York 1998.

Mood A.M and Graybill, F.A, Introduction to the theory of Statistics. 1974

Gupta . S.C. and Kapoor .V.K., Fundamentals of Mathematical Statistics, Sultan and Sons,

2008.

Murthy M.N(1967)., Sampling theory and Methods, Statistical Polishing Society, Calcutta

Evaluation for Theory cum Practical

Statistics – NME and Allied Courses

CIA(30)

ESE(70) Theory Max.

Marks(25)

Practical(5)

Components(IV)

Max Marks

CIA Test –I

CIA Test – II

Component - III

10

10

5

Daily Practical

Assessment

& Test

5

Theory

70

135

DEPARTMENT OF PHYSICS

Preamble

UG: Course Profile, list of courses offered to other department & the syllabi of course offered in

the first three semester are presented in this booklet ( With effect from batch 2012-15onwards)

Semester Part Category Course Code Course Title Contact

Hrs/week

Credit

Min Max

I

I Language

UTAL103/

UTAL104/

UHIL101/

UFRL101

Basic Tamil -

I/Advanced Tamil –

I/ Hindi/ French

4 2 3

II English UENL105/

UENL106

Basic English –

I/Advanced English -

I

4 2 3

III Core I UPHM103 Mechanics 5 5 5

III Core-II UPHM104 Thermal and

Statistical Physics

5 5 5

III Core Practical-I UPHR101 Mechanics and

Thermal Physics

Practical

3 2 2

III Allied-I UMAA102 Algebra, differential

calculus and

Trigonometry

5 5 5



USK102

Communication

Skills/

Effective

communication Skills

2 1 1

TOTAL 30 23 25

II

I Language UTAL203/

UTAL204/

UHIL204/

UHIL201/

UFRL201

Basic

Tamil/Advanced

Hindi/ French

4 2 3

II English

UENL205/

UENL206

English-II 4 2 3

III Core –III UPHM202

Properties of Matter

& Acoustics

3 3 3

Core - IV UPHM203 Mathematical Physics 3 3 3

III Core Practical-II UPHR202 Properties of Matter

and Acoustics

Practical

3 2 2

136

III Allied UMAA202 Fundamentals of

Mathematics for

Physics-II

5 5 5

III Internship UMAA202 Summer Internship - - 1

IV NME UPHI201 4 2 2


IV Soft Skill

Spoken English/

Presentation Skills

2 1 1

V Extension

Programmed/Physic

al Education

USK201/

USK202

- 1 -

TOTAL 30 22 26

III I Language

UTAL303/

UTAL304/

UHIL301/

UFRL301

Basic Tamil-

III/Advanced Tamil

–III/Hindi/ French

4 2 3

II English

UENL305

UENL306

Basic English-

III/Advanced

English-III

4 2 3

III Core –V UPHM302 Optics & Laser

Physics

5 5 5

III Core practical-III UPHR302 Optics and Laser

Physics Practical‘s

3 2 2

III Allied UCHA301 Chemistry for

Physics I

3 3 3

III Allied practical-I UCHR401 Volumetric &

Organic Analysis I

3 - -

IV NME 4 2 2

IV Value Education

2 1 1

IV Soft Skill USKS301 Personality

Development

2 1 1

TOTAL 30 18 20

IV I Language

UTAL403/

UTAL404/

UHIL401/

UFRL401

Basic Tamil-

IV/Advanced Tamil

–IV/Hindi/ French

4 2 3

III English

UENL405

UENL406

Basic English-

IV/Advanced

English-IV

4 2 3

III Core – VI UPHM402 Electricity and

Magnetism

5 5 5

III Core Practical –IV UPHR404 Electricity and

Magnetism Practical

3 2 2

III Allied –IV UCHA401 Chemistry for

Physics - II

3 3 3

III Allied Practical –II UCHR402 Volumetric &

Organic Analysis II

3 4 4

III Internship UPHI401 Summer Internship - - 1

IV NME 4 2 2

IV Soft Skill USKS401 Life Coping skills 2 1 1


137

V Extension/ Summer

Internship

- - 2

TOTAL 30 22 27

V III Core – VII UPHM505 Nuclear Physics 5 5 5

III Core – VIII UPHM506 Basic Electronics 5 5 5

III Core – IX UPHM507 Solid State Physics

and Material Science

4 4 4

III Core –X UPHM508 Numerical Methods

with C++

3 3 3

III Core Practical-V UPHR501 Electronics Practical –

I

3 3 3

III Core Practical-VI UPHR502 C++ Programming for

Physics

3 3 3

III Allied Optional 5 4 4

IV NME 4 2 2

IV Soft Skill USKS501 Job Skill 2 1 1

TOTAL

30 26 26

VI

III Core-X UPHM606 Atomic & Molecular

Physics

5 5 5

III Core-XI UPHM607 Digital Electronic 4 4 4

III Core-XII UPHM608 Quantum Mechanics

and Relativity

4 4 4

III Core-XIII UPHM609 Microprocessor and

Microcontrollers

4 4 4

III Core - XIV UPHM507 Solid state Physics and

Material Science

3 3 3

III Core-Practical - VII UPHR604 Electronics Practical –

II

3 3 3

III Core Practical UPHO601/

UPHO602/

UPHO603

Nanophysics/

Astrophysics/Applied

Optics

5 4 4

III Viva Voce UPHC601

Comprehensive viva

voce

1 1

III Extra credit

Provision

- - 1

IV Soft Skill USKS601 Career skills 2 1 1

V Extension

Programme/Physical

Education

- - 2

TOTAL

30 29 32


Class and Major Semes

ter

Category Course

code

Course title Contact

hrs/week

Credit

138

LIST OF COURSES OFFERED TO OTHER DEPARTMENTS

NON-MAJOR ELECTIVES Semester Category Course code Course Title Contact

Hrs./week

Credit

Min Max

II Non Major Elective UPHE202 Physics in Medicine 4 2 2

III

Non Major Elective

UPHE302 Servicing &

Maintenance of Home

Appliances

4 2 2

1V

Non Major Elective

UPHE402&

UPHE403

Photography/Energy

Sources

4 2 2

V

Non Major Elective UPHE502 Communication

System & Cell phone

Servicing

4 2 2

ALLIED OPTIONAL Semester part Category Course code Course Title Contact

Hrs./week

Credit

Min Max

V

III

Allied

Optional

UPHO503 Nano science

and its

Applications

5 4 4

UPHO502 Laser for

Medical

Diagnosis

5 4 4

UPHM103 MECHANICS


Min Max

II B.Sc

Mathematics

IV Allied UPHA402 Electronics 3 3 3

II B.Sc

Mathematics

IV Allied I UPHR404 Electronics for

Mathematics Practicals

2 2 2

I B.Sc Chemistry I Allied I UPHA101 Physics for Chemistry I

3 3 3

I B.Sc Chemistry I Allied I UPHR102 Physics for Chemistry

Practical I

3 2 2

II B.Sc chemistry II Allied II UPHA202 Physics for Chemistry II

3 3 3

II B.Sc chemistry II Allied II UPHR202 Physics for Chemistry

Practical II

3 2 2

II B.Sc Computer

Science

III Allied I UPHA303 Digital Electronics 3 2 2

II B.Sc Computer

Science

III Allied I UPHR303 Digital Electronics

Practical

3 2 2

II B.Sc Computer

Science

IV Allied II UPHA404 Microprocessor 8085 &

its Applications

4 4 4

II B.Sc Computer

Science

IV Allied II UPHR405 Microprocessor 8085

Practical

3 3 3

139

Category : Core I Hours/Week : 5

Class& Major: I B Sc ( Physics ) Total Hours : 65

Objectives

To apply the knowledge of different types of motion and gravitation to various situation.

To understand the dynamics of rigid bodies in terms of Moment of Inertia.

To understand the basics of Classical Mechanics and its applications.

UNIT-I: LAWS OF MOTION 13Hrs

Newton‘s laws of Motion - conservation of energy - conservative forces - conservation of

linear momentum - center of mass - angular momentum - conservation of angular momentum -

relation between torque and angular momentum. rocket motion - principle – theory - velocity of

the rocket at any instant – rocket propulsion system - multi stage rocket - shape of the rocket -

artificial Satellites.

UNIT-II: GRAVITATION 15 Hrs

Kepler‘s law - Newton‘s law of gravitation - determination of G by Boy‘s method - density

of earth - mass of the earth and sun - gravitational field – intensity of the field- gravitational

potential - potential Energy - inertial and gravitational masses - escape and orbital velocity -

acceleration due to gravity - value of ‗g‘ at the poles and at the equator - variation of ‗g‘ with

latitude , altitude & depth. Compound pendulum - radius of gyration - determination of ‗g‘ by

compound pendulum

UNIT-III: CIRCULAR MOTION 13 Hrs

Angular displacement - angular velocity - relation between linear velocity and angular

velocity -acceleration in uniform circular motion - centripetal force and centrifugal force –

applications - condition for skidding and overturning of a car taking a turn - motion in horizontal

circle - friction present on the road- motion in vertical circle - centrifuge.

UNIT-IV: MOMENT OF INERTIA 10 Hrs

Rigid body - moment of inertia - parallel axes theorem - perpendicular axes theorem.

Moment of inertia of a thin rod, solid cylinder, and solid sphere - hollow sphere with external and

internal radii - kinetic energy of rotation.

UNIT-V: LAGRANGIAN AND HAMILTONIAN MECHANICS 14 Hrs

Mechanics of a system of particles - degrees of freedom - constraints - generalised

Coordinates - Principle of virtual work - D‘ Alembert‘s Principle - derivation of Lagrange‘s

equation of motion - applications of Lagrange‘s equation to simple pendulum and linear harmonic

oscillator - Hamiltonian function ‗H‘ - Hamiltonian equation - physical significance of ‗H‘-

applications of Hamiltonian equations to simple pendulum and linear harmonic oscillator.

TEXT BOOKS

R. Murugeshan, Mechanics and Mathematical Physics, S. Chand & Company Ltd, New

Delhi ,2008

Brijlal ,Subramaniam, Properties of Matter, Eurasia Publishing House, New Delhi , 1993

M.Narayanamoorthy, Mechanics and Properties of Matter, National Publishing House,

New Delhi

140

REFERENCE BOOKS

Halliday D, Resnick , Walker.J Fundamentals of Physics , 6th

Edition, NY , Wiley 2006

Feynmann R.P, Leighton R.B Sands ,Lectures in Physics , Narosa New Delhi 1998

D.S. Mathur , Mechanics , S. Chand & Company Ltd, New Delhi ,2005

UPHM104 THERMAL AND STATISTICAL PHYSICS



Class & Major : I B.Sc.(Physics ) Total Hours : 65

Objectives

To understand the nature and transmission of heat and the laws associated with them

To understand the basic principles of heat and laws of thermodynamics and their

applications

To acquire a knowledge of Maxwell‘s Thermodynamic relations.

To understand the concepts of statistical physics and its applications

UNIT-I:THERMOMETERY 14 Hrs

Definition of temperature - platinum resistance thermometer - construction & working –

thermistor - specific heat capacity - Dulong and Petit‘s law- calorimeter - specific heat of a gas -

relation between specific heat of a gas - Mayer‘s expression - Jolly‘s differential steam calorimeter

for finding Cv - Callendar and Barne‘s continuous flow method - basis of kinetic theory –

Maxwell‘s laws of velocity of distribution - experimental verification of Maxwell Boltzmann

distribution - degrees of freedom - mean free path.

UNIT-II: TRAMSMISSION OF HEAT 13 Hrs

Introduction - coefficient of thermal conductivity-Lee‘s disc method - convection-

applications of convection-central heating system – thermopile – radiation - thermal radiation -

Black body - Stefan‘s law - experimental verification of Stefan‘s law - distribution of energy in

black body spectrum - Wien‘s Law – Rayleigh-Jeans law- Newton‘s law of cooling - experimental

verification of Newton‘s law of cooling - Planck‘s radiation law - solar constant – temperature of

the sun - Angstrom‘s pyrheliometer.

UNIT-III: THERMODYNAMICS 11Hrs

Thermodynamic system - zeroth, first, second and third laws of thermodynamics -

isothermal and adiabatic process - reversible and irreversible process - heat engine - efficiency of a

Carnot‘s engine-Carnot‘s cycle - Carnot‘s Theorem. Entropy - temperature-entropy diagram -

Maxwell‘s thermodynamic relations - Clapeyron‘s latent heat equation.

UNIT-IV: LIQUEFACTION OF GASES AND SUPERCONDUCTIVITY 10Hrs

Introduction - cooling by adiabatic expansion - Joule-Thomson expansion - liquefaction of

gases- principle of regenerative cooling - liquefaction of Helium- He I & II - peculiar properties of

He II.Adiabatic demagnetization - superconductivity - Meissner effect - applications.

UNIT-V: STATISTICAL PHYSICS 11Hrs

Introduction - micro and macro states - thermodynamic probability - ensembles - derivation

141

of Maxwell- Boltzmann Distribution law - application of M-B law to ideal gas - identical particles

- derivation of Bose–Einstein distribution law - application of B-E statistics - derivation of Fermi -

Dirac distribution law - applications of F-D statistics - comparison of three statistics.

TEXT BOOKS

D.S.Mathur, Heat and Thermodynamics, S. Chand & Company Ltd, New Delhi, 2010

Brijlal, Subramaniam, P.S. Hemne Heat and Thermodynamics and Statistical Physics, S.

Chand & Company Ltd, New Delhi, 2010

R. Murugeshan, Kiruthiga Sivaprasath,S, Thermal Physics, S. Chand & Company Ltd,

New Delhi, 2008

REFERENCE BOOKS

P.K.Chakrabati, Theory and experiments on Thermal Physics, New Central Book Agency

(P) ltd, Kolkota , 2006

J. B. Rajam & C. L. Arora, Heat and Thermodynamics , S Chand & Co New Delhi 2004.

Sathya Prakash & C.Agarwal , Statistical Mechanics , Himalayan Publication house,

Bombay. (1980)

R. P. Feynman, R B Leighton and M Sands, The Feynman Lectures on Physics, Vols. I, II,

and III, Narosa, New Delhi, 1995.

UPHR101 MECHANICS &THERMAL PHYSICS PRACTICALS


Category : Core Practical-I Hrs/Week : 3


Objectives

To Understand the theory of the application of subject knowledge in practical.

To Understand the techniques of handling equipment.

To Make error free measurements and error analysis.

1. Compound Pendulum- Acceleration due to Gravity ‘g‘ and Radius of gyration

2. Bifilar Pendulum- Verification of M.I Theorem

3. Specific Heat Capacity- Newton‘s Law of Cooling.

4. Lee‘s Disc- Thermal Conductivity of Card Board.

5. Specific heat of a Liquid- Verification of Newton‘s Law of Cooling.

6. Thermistor- Temperature Coefficient‖ α‖- Multimeter

7. Thermocouple- Temperature Coefficient‖ α‖- Multimeter

8. P.O Box- Temperature Coefficient of Thermistor.

Optional

1. Sun Meter- Measurement Sun Radiation

142

2. Bifilar Pendulum -Determination of Earth's Gravitational Field

3. Measurement of ‗g‘ by Falling Plate.

4. Measurements of Stefan‘s Constant.

TEXT BOOKS

Srinivasan M.N.,Balasubramanian S.,Ranganathan R., The Text Book of Practical Physics,

Sultan Chand & Sons, New Delhi, 2006.

Ouseph C.c.,Rangarajan G.,A Text book of Practical Physics Part –I , S.viswanathan

Publishing,1990.

REFERENCE BOOK

S.L. Gupta and V.Kumar, Practical Physics, Pragathi Praksshan,25th

edition 2002.

UPHM202 PROPERTIES OF MATTER AND ACOUSTICS Semester : II Credit : 3

Category : Core III Hrs/Week : 3


Objectives

To understand the basics of elasticity and its importance in beams and girders

To understand the concepts of surface tension, viscosity and their applications

To understand the concepts of diffusion, Bernoulli‘s theorem and their applications

To understand the different types of vibrations of sound, ultrasonics and their applications

UNIT-I: ELASTICITY 8 Hrs

Introduction - stress, strain, Hook‘s law - types of elasticity - Poisson‘s ratio - work done

due to strain -relation between the elastic moduli - torsion - torsional oscillations of a body -

rigidity modulus by torsion pendulum - bending of beams – expression for the bending moment –

cantilever - uniform bending - pin and microscope - nonuniform bending - scale and telescope.

UNIT-II: SURFACE TENSION 8 Hrs

Introduction - explanation of surface tension in kinetic theory - surface energy - angle of

contact - excess pressure inside a liquid drop and soap bubble - variation of surface tension with

temperature – drop-weight method of determining the S.T of a liquid - interfacial tension -

experiment to determine the interfacial tension between water and kerosene.

UNIT- III: VISCOSITY 7 Hrs

Introduction - streamline and turbulent flow - definition of critical velocity - Poiseuille‘s

formula -correction - Poiseuille‘s method for determining coefficient of viscosity of a liquid -

terminal velocity -Stoke‘s formula - Stoke‘s method for determining the coefficient of viscosity of

a liquid - variation of viscosity with temperature and pressure - friction and lubrication.

UNIT-IV: DIFFUSION AND HYDRODYNAMICS 7 Hrs

Diffusion: Introduction - Fick‘s law of diffusion - analogy with heat conduction -

143

experimental determination of coefficient of diffusion.

Hydrodynamics:

Equation of continuity - energy of the liquid - Bernoulli‘s theorem - proof - applications of

Bernoulli‘s theorem - venturimeter - Pitot‘s tube.

UNIT-V: ACOUSTICS 9 Hrs

Forced vibrations - damped vibrations – resonance - intensity of sound - noise pollution -

transverse vibration of a stretched string - expression for the velocity of transverse vibration of a

stretched string - laws of vibration of strings - A.C. frequency measurement using sonometer.

Ultrasonics - production of ultrasonic waves - uses of ultrasonics - NDT - SONAR - reverberation

- Sabine‘s formula - absorption coefficient - acoustics of buildings - factors affecting sound

distribution in an auditorium.

TEXT BOOKS

R. Murugeshan, Kiruthiga Sivaprasath, Properties of Matter and Acoustics, S. Chand &

Company Ltd, New Delhi, 2010

Brijlal, Subramaniam, Properties of Matter, Eurasia Publishing House, New Delhi, 1993

R. Murugeshan, A Textbook of Sound, S. Chand & Company Ltd, New Delhi, 2008

REFERENCE BOOKS

Halliday D. Resnick, Walker.J ,Fundamentals of Physics, 6th

Edition, NY, Wiley 2006

Feynmann R.P, Leighton R.B, Sands M , Lectures in Physics,. Narosa New Delhi 1998

R.Murugeshan, Waves and Oscillations,S. Chand & Company Ltd, New Delhi, 2005

UPHM202 PROPERTIES OF MATTER AND ACOUSTICS


Category : Core III Hrs/Week : 3

Class & Major : I B.Sc(Physics ) Total Hours : 39

Objectives

To understand the basics of elasticity and its importance in beams and girders

To understand the concepts of surface tension, viscosity and their applications

To understand the concepts of diffusion, Bernoulli‘s theorem and their applications

To understand the different types of vibrations of sound, ultrasonics and their applications

UNIT-I: ELASTICITY 8 Hrs

Introduction - stress, strain, Hook‘s law - types of elasticity - Poisson‘s ratio - work done

due to strain -relation between the elastic moduli - torsion - torsional oscillations of a body -

rigidity modulus by torsion pendulum - bending of beams – expression for the bending moment –

cantilever - uniform bending - pin and microscope - nonuniform bending - scale and telescope.

UNIT-II: SURFACE TENSION 8 Hrs

Introduction - explanation of surface tension in kinetic theory - surface energy - angle of

contact - excess pressure inside a liquid drop and soap bubble - variation of surface tension with

144

temperature – drop-weight method of determining the S.T of a liquid - interfacial tension -

experiment to determine the interfacial tension between water and kerosene.

UNIT- III: VISCOSITY 7 Hrs

Introduction - streamline and turbulent flow - definition of critical velocity - Poiseuille‘s

formula -correction - Poiseuille‘s method for determining coefficient of viscosity of a liquid -

terminal velocity -Stoke‘s formula - Stoke‘s method for determining the coefficient of viscosity of

a liquid - variation of viscosity with temperature and pressure - friction and lubrication.

UNIT-IV: DIFFUSION AND HYDRODYNAMICS 7 Hrs

Diffusion: Introduction - Fick‘s law of diffusion - analogy with heat conduction -

experimental determination of coefficient of diffusion.

Hydrodynamics:Equation of continuity - energy of the liquid - Bernoulli‘s theorem - proof

- applications of Bernoulli‘s theorem - venturimeter - Pitot‘s tube.

UNIT-V: ACOUSTICS 9 Hrs

Forced vibrations - damped vibrations – resonance - intensity of sound - noise pollution -

transverse vibration of a stretched string - expression for the velocity of transverse vibration of a

stretched string - laws of vibration of strings - A.C. frequency measurement using sonometer.

Ultrasonics - production of ultrasonic waves - uses of ultrasonics - NDT - SONAR - reverberation

- Sabine‘s formula - absorption coefficient - acoustics of buildings - factors affecting sound

distribution in an auditorium.

TEXT BOOKS

R. Murugeshan, Kiruthiga Sivaprasath, Properties of Matter and Acoustics, S. Chand &

Company Ltd, New Delhi, 2010

Brijlal, Subramaniam, Properties of Matter, Eurasia Publishing House, New Delhi, 1993

R. Murugeshan, A Textbook of Sound, S. Chand & Company Ltd, New Delhi, 2008

REFERENCE BOOKS

Halliday D. Resnick, Walker.J ,Fundamentals of Physics, 6th

Edition, NY, Wiley 2006

Feynmann R.P, Leighton R.B, Sands M , Lectures in Physics,. Narosa New Delhi 1998

R.Murugeshan, Waves and Oscillations,S. Chand & Company Ltd, New Delhi, 2005

UPHM203 MATHEMATICAL PHYSICS


Category : Core IV Hrs/Week : 3


OBJECTIVES

To impart mathematical knowledge for the description of physical phenomena

To provide basic skills to learn and appreciate physics through mathematics

UNIT-I: VECTOR ANALYSIS 8 Hrs

Line and surface integrals - differential operators - grad, div and curl - Gauss Theorem -

145

Stoke‘s theorem- Green‘s theorem - physical interpretation - applications.

UNIT-II: MATRICES 7 Hrs

Orthogonal matrix - unitary matrix – inverse of a matrix. Characteristic equation of a

matrix - methods of finding eigenvalues and eigenvectors.

UNIT-III: TENSORS 6 Hrs

Tensor - rank of a tensor - contravariant and covariant tensors - symmetric and

antisymmetric tensors - mixed tensors - properties - physical applications.

UNIT-III: FOURIER SERIES AND TRANSFORMS 8 Hrs

Definition of Fourier series - determination of Fourier coefficients - Fourier series for odd

and even functions - applications ( half wave, square wave, triangular wave) - Fourier transform –

definition – theorems.

UNIT-IV: SPECIAL FUNCTIONS 8 Hrs

Definition - simple properties of gamma, beta, and delta functions - series solutions of

Legendre and Hermite differential equations - orthogonal properties, generating functions -

Rodrigues‘ formula (expression only)

TEXTBOOKS

Sathya Prakash, Mathematical Physics , S. Chand , New Delhi , 2nd edition 2004.

R. Murugeshan, Mechanics and Mathematical Physics, S. Chand & Company Ltd, New

Delhi

,2008.

REFERENCE BOOKS:

B.S. RAJPUT and yoga Prakash , Pragati Prasashan, Mathematical Physics, Meerut ,2004

B.D. Gupta, Mathematical Physics,Vikas Publishing House – 1996.

Kreyszig.E, Advanced Engineering mathematics, 8th Edition Wiley Publ. NY 1989.

Ghatak A.K., Gayal LC.. Chaira S.G., Mathematical Physics, MacMillan, New Delhi,

1995.

Charlie Harper, Mathematical Physics, Prentice-Hall of India New Delhi, Prentice-Hall of

India 1976.

UPHR202 PROPERTIES OF MATTER AND ACOUSTICS PRACTICAL


Category : Core Practical-II Hrs/Week : 3

Class & Major : I B.sc Physics Total Hours : 39

OBJECTIVES

To understand the theory of the application of subject knowledge in practical.

To understand the techniques of handling equipments.

To make error free measurements and error analysis.

146

1. Young‘s Modulus-Cantilever Depression Using Scale & Telescope

2. Young‘s Modulus- Uniform Bending- Scale & Telescope

3. Young‘s Modulus- No uniform Bending – Pin & Microscope

4. Rigidity Modulus- Torsion Pendulum- (with & without masses)

5. Surface Tension- Capillary Rise method – (Radius using Vernier Microscope)

6. Surface Tension & Interfacial Tension- S.T by Drop Weight Method

7. Co- efficient of Viscosity of a Liquid- Constant Pressure Head

8. Sonometer- Frequency of Tuning Fork

Optional

1. Young‘s Modulus- Uniform bending - Koenig‘s method

2. Rigidity Modulus- Static Torsion

3. Co- efficient of Viscosity of a Liquid- Stoke‘s Method

4. Sonometer-A.C Frequency-Steel and Brass Wire

TEXT BOOKS

Srinivasan M.N., Balasubramanian S.,Ranganathan R., The Text book of Practical physics,

Sultan chand & Sons, New Delhi, 2006.

Ouseph C.C.,Rangarajan G.,A Text book of Practical Physics Part – I, S.Viswanathan

Publisher, 1990.

REFERENCE BOOK

S.L.Gupta and V.Kumar, Practical Physics, Pragathi Prakshan, 25th

edition, 2002.

UPHM302 OPTICS AND LASER PHYSICS


Category : Core V Hrs/Week : 5

Class& Major : I B.Sc.(Physics) Total Hours : 65

Objectives

To understand the concepts of dispersion of light, interference, diffraction and polarization

of light waves and their applications in day-to-day life

To study the working principle of laser and to apply the knowledge to industry, engineering,

medicine

To study fibre optic communication and its applications in different fields

UNIT-I: GEOMETRICAL OPTICS 15 Hrs

Fermat‘s principle - dispersion of light - dispersive power - Cauchy‘s formula - deviation

147

without dispersion - dispersion without deviation - cardinal points of an optical system and their

relationships, thick lens and combinations- aberrations - spherical aberration - methods of

minimizing spherical aberrations - chromatic aberrations in lens - condition for achromatism of

two thin lenses in contact and without contact – eyepieces – Huygen‘s and Ramsden‘s eyepieces

with comparisons.

UNIT-II : INTERFERENCE 13 Hrs

Introduction - condition for sustained interference of light - Young‘s experiment – theory

of interference fringes - Fresnel‘s biprism - experimental determination of ‗λ‘ of monochromatic

light and thickness of sheet - colour of thin films – air wedge - experiment to measure the diameter

of the wire - Newton‘s rings - determination of wavelength of sodium light by Newton‘s rings -

determination of ‗μ‘ of liquid –Michelson‘s interferometer - theory – applications.

UNIT-III: DIFFRACTION 12 Hrs

Introduction - Fresnel and Fraunhofer diffraction - construction of half-period zones - zone

plate - principle – theory - diffraction at a circular aperture - Fraunhofer diffraction at a single slit -

plane transmission diffraction grating - dispersive power of a grating - determination of

wavelength of light using transmission grating ( normal incidence).

UNIT-IV: POLARISATION 11 Hrs

Polarisation of light - Brewster‘s law - double refraction - Nicol prism - quarter wave plate

- half wave plate - production and detection of plane, circularly and elliptically polarized light -

optical activity -specific rotation - Laurent‘s half-shade polarimeter.

UNIT-V:LASER,OPTICALFIBREANDHOLOGRAPHY 14 Hrs

Laser

Introduction - characteristics of laser light - spontaneous and stimulated emission -

population inversion-pumping - lasing action - Ruby laser - He-Ne laser - applications.

Optical Fibre

Introduction - modes of propagation of a light - acceptance angle - numerical aperture -

types of optical fibres - optical sources and detectors - optical communication - optical fibre

sensors - medical applications.

Holography

Introduction - principle - important properties of hologram - recent advances - applications.

TEXT BOOKS

R. Murugeshan , Kiruthga Sivaprasath, Optics and Spectroscopy , S. Chand & Company

Ltd,7th

revised edition 2010( Unit I,II,III, IV)

Brijlal ,N. Subramaniam, A Text Book of Optics , S. Chand & Company Ltd, New Delhi

,2008

REFERENCE BOOKS

Halliday D. Resnick , Walker,Fundamentals of Physics , J 6th Edition, NY , Wiley 2006

Ajoy Ghatak , Optics , Tata Mc Graw ,Hill Publishing Company , New Delhi 1993

B.B. Laud, Lasers and Non-Linear Optics,, New Age InternationalPublishers,2009

A.K.Ghatak and K. Thyagarajan, Lasers - Principles and Applications, Tata- Mc-Graw Hill

148

R. P. Feynman, R B Leighton and M Sands, The Feynman Lectures on Physics, Vols. I, II,

and IIINarosa, New Delhi, 1995.

UPHM302 OPTICS AND LASER PHYSICS PRACTICALS


Category : Core Practical-II Hrs/Week : 3

Class & Major : II B.Sc(Physics) Total Hours : 39

Objectives

To gain the practical knowledge of optics.

To understand the concept of optical devices and principles.

1. Focal Length of Lens - uv method, Auxiliary Method, μ of a Lens.

2. Air Wedge- Thickness of a Wire.

3. Newton‘s Ring- Radius of Curvature of Convex Lens.

4. Spectrometer- Angle and ‗μ‘ of a Prism.

5. Spectrometer- Grating- λ of Mercury Light- Normal Incidence.

6. Spectrometer- Cauchy‘s Constant.

7. Spectrometer- Dispersive Power of a Prism.

8. Spectrometer - i-d curve.

Optional

1. Spectrometer - i-i‘ curve.

2. Spectrometer – Grating – ‗ λ‘ of LASER Light(Gas)

3. Spectrometer – Grating – ‗ λ‘ of LASER Light(Solid State)

4. Planck‘s Constant- Using LASER Light

5. Laser Light – Numerical Aperture ( NA) of Optical Fiber

6. Spectrometer – Auto collimated Lens using LASER Light.

TEXT BOOK




Publisher, 1990.

REFERENCE BOOK

149


edition, 2002.

UPHA101 PHYSICS FOR CHEMISTRY – I


Category : Allied I Hrs/Week : 3

Class & Major : I B.Sc(Chemistry) Total Hours : 39

Objectives

To gain Knowledge basics of particle dynamics and properties of matter.

To understand diffraction and polarization of light waves.

UNIT I: Particle Dynamics 7 Hrs

Displacement, velocity and acceleration – distance-time graph – velocity-time graph –

projectile motion – uniform circular motion – tangential acceleration in circular motion – relative

velocity and acceleration.

UNIT II: Gravitation 7 Hrs

Kepler‘s laws - Newton‘s law of gravitation – ‗g‘ and measurement – earth-moon system -

earth satellites – parking orbit – earth density – mass of the sun – gravitational potential – velocity

of escape – satellite potential and kinetic energy.

UNIT III: Properties of matter 9 Hrs

Elastic properties: Elastic limit – Hooke‘s law – moduli of elasticity – Poission‘s ratio –

relation between q,n,k – force in a bar due to contraction or expansion – energy stored in a wire –

rigidity modulus – torsion in a wire – static torsion and torsional oscillations method.

Viscosity and surface tension: Newton‘s formula – Stoke‘s formula – Poiseuille‘s flow –

molecular theory of surface tension – excess pressure over curved surface – spherical and

cylindrical drops – surface energy – capillary rise – Quincke‘s method for mercury.

UNIT IV: Optics 9 Hrs

Diffraction: Fresnel and Fraunhofer diffractions – Fraunhofer diffraction at a single slit -

diffraction at multiple slits - plane diffraction grating – determination of wavelength of a spectral

line of a Hg lamp.

Polarisation: Double refraction of crystals – geometry of Nicol prism – Huygen‘s theory –

polaroid – circular and elliptical polarization – quarter and half wave plates – production and

analysis of polarized beams – optical activity.

UNIT V : Crystal Physics 7 Hrs

Crystal structures: Introduction – crystal lattice – unit cell – classification of crystals –

Bravais lattice in three dimensions –crystal planes and Miller indices – simple crystal structures.

Crystal diffraction: Bragg‘s law – experimental X-ray diffraction methods - Laue method –

rotating crystal method – powder method.

TEXT BOOKS:

150

M.Narayanamurthy and N.Nagarathnam, Dynamics – ( The national publishers)

D.S.Mathur, properties of matter, S.Chand and Co., New Delhi

R.Murugeshan, Kiruthiga sivaprasath, Modern Physics,S.Chand & Company ltd, New

Delhi,2006.

BOOKS FOR REFERENCE:

D.Halliday and R.Resnick , Walker. J Fundamentals of physics, Wiley, 6th

edition, New

York, 2006

Brijlal, N.Subramanian, A Text Book of Optics, S.Chand & company Ltd, New Delhi,

2008.

UPHR102 PHYSICS FOR CHEMISTRY - PRACTICALS – I


Category : Allied Practical I Hrs/Week : 3

Class & Major : I B.Sc.(Chemistry) Total Hours : 39

Objectives

To understand the theory of the application of subject knowledge in practical.

To understand the techniques of handling equipments

To make error free measurements and error analysis.

1. Young‘s Modulus by Stretching - Vernier Microscope

2. Rigidity Modulus - Torsional Pendulum

3. Surface Tension and Interfacial Tension - Method of Drops

4. Surface Tension - Capillary Rise

5. Viscosity - Capillary Flow

6. Specific Heat of Liquid - Method of Mixtures (approximate radiation correction)

8. Sonometer - Verification of Laws of Vibration

9. Compound Bar Pendulum - Determination of ‘g‘and Radius of Gyration

Optional

1. Specific Heat of Liquid - Electrical Heating

TEXT BOOK




Publisher, 1990.

151

REFERENCE BOOK


edition, 2002.

UPHA202 PHYSICS FOR CHEMISTRY- II


Category : Allied II Hrs/Week : 3

Class & Major : I B.Sc (Chemistry) Total Hours : 39

Objectives

To understand semiconductor devices and their working principle, types and applications.

To study the basic number system, digital gates, flip flops, counters and registers.

To study the atom model, quantum numbers and periodic table.

To understand the properties of nucleus and nuclear reactions.

UNIT I: Semiconductor Devices: 8 Hrs

Semiconductors - intrinsic and extrinsic semiconductors - Fermilevels (no derivation) -

mechanism of current conduction - PN junction diode - zener diode - LED - solar cell. Transistor:

construction - mechanism of amplification - current components - modes of operation - transistor

amplifier.

UNIT II: Digital Electronics: 7 Hrs

Number systems – binary – octal – hexadecimal – digital gates – Boolean algebra – K-map

– RS flip-flop – JK flip flop – shift registers – full and half binary adder - binary counter – mod n

counter - decade counter.

UNIT III: Atomic physics 8 Hrs

Atomic physics: Bohr‘s atom model – hydrogen spectrum – fine structure splitting :

sodium doublet –- quantum numbers - Pauli‘s exclusion principle - periodic table.

X- rays and Photoelectric Effect: Production of X-rays - continuous and characteristic X-

ray spectra – industrial and medical applications of X- rays. Laws of photoelectric emission –

Einstein‘s photoelectric equation - Millikan‘s experiment – photoelectric cells (emissive, electric

and voltaic) – photo multiplier tubes.

UNIT IV: Nuclear physics 7 Hrs

General Properties of Nuclei: Nuclear mass and binding energy- B.E/A versus A curve –

nuclear spin and magnetic moment - mass, half life and spin of neutron - semi empirical mass

formula - nuclear models and elementary particles - nuclear reactions: cross section – nuclear

fission –liquid drop model –nuclear forces - elementary particles: classification - quarks and

leptons.

UNIT V: Mechanical waves: 9 Hrs

Waves in strings and pipes: Velocity of a transverse wave along a stretched string -

velocity of sound in gases - Newton‘s formula for velocity of sound – effect of temperature,

pressure, humidity and density of medium on sound.

152

Ultrasonics and acoustics: Ultrasonics – piezo-electric effect – detection of ultrasonics –

applications – reverberation time and Sabine‘s law – absorption coeffecient – conditions for good

acoustical design of rooms – noise – measument of noise – reduction and sound insulation.

TEXT BOOKS:-

Brijlal and Subramanyam, Electricity and Magnetism, Ratan Prakashan Mandir publisher –

1995

A.B.Gupta and Dipak Ghosh, Atomic and nuclear physics, – Books and allied (sp) Ltd,

Calcutta.

H.S.Mani and Mehta, Introduction to Modern Physics, G.K Publication, Affiliated East-

West Press Ltd, New Delhi, 1988.

BOOKS FOR REFERENCE:-

Richard P. Feynman, R. B. Leighton & Mathew Sands, Feynman Lectures on Physics

Series,Vol. 1, 2 & 3, Narosa Publishing, New Delhi, 8th reprint, 1995.

R.Khanna and R.S. Bedi, A Text Book of Sound, atma Ram and sons, New Delhi 1985.

UPHR202 PHYSICS FOR CHEMISTRY - PRACTICAL II


Category : Allied Practical II Hrs/Week : 3

Class& Major : I B.Sc(Chemistry) Total Hours : 39

Objectives

To Understand the theory of the application of subject knowledge in practical.

To understand the techniques of handling equipments.

To Make error free measurements and error analysis

1. Determination of Young‘s Modulus (Non-uniform Bending) - Pin and Microscope.

2. Determination of Rigidity Modulus (Pointer method) - Static Torsion.

3. Determination of Focal Length - Concave and Convex Lenses.

4. Determination of Thickness of Wire - Air Wedge.

5. Universal Building Block – NAND Gates.

6. Determination of Wavelengths (Grating) - Hg Spectrum.

7. LCR Parallel Resonant Circuit.

8. Characteristics of Zener Diode..

Optional

1. Construction of Half and Full Adders - Digital Gates.

2. Determination of Velocity of Sound Waves - Melde‘s String.

153

TEXT BOOK




Publisher, 1990.

REFERENCE BOOK


edition, 2002.

UPHA303 DIGITAL ELECTRONICS


Category : Allied I Hrs/Week : 3

Class & Major : II B.Sc (Computer Science) Total Hours : 39

Objectives:

To study the number system and conversion and the construction of basic logic gates.

To solve Boolean expressions.

To study the adder, subtract or and multiplexer, decoder and their applications.

To study the construction of flip flops and registers and their applications.

UNIT -I : Number System & Logic Gates 7 Hrs

Binary, octal, hexadecimal – interconversion – gray code – excess 3- code – ASCII

code – basic gates – DeMorgan‘s theorem – universal gates.

UNIT -II : Karnaugh Map 8 Hrs

Laws of Boolean algebra – solving Boolean expressions – K-map - minterms – SOP

– K-map simplification using minterm (2, 3 and 4 variables) – POS – K-map simplification

using maxterms (2, 3 and 4 variables) – incomplete specified functions.

UNIT –III: Adder & Multiplexers 6 Hrs

Half adder – full adder – half subtractor – full subtractor – decoder – BCD to seven

segment decoder – encoder – decimal to BCD encoder – multiplexer – applications – de-

multiplexer.

UNIT- IV: Registers 9 Hrs

RS flip flop using NOR and NAND gates – clocked RS flip flop – D flip flop – JK flip

flop – master- slave JK flip flop – registers – shift registers (right to left and left to right) –

applications.

UNIT- : Counters 9 Hrs

Counters – modulus of a counter – asynchronous counter (4-bits) – synchronous

counter (3-bits) – BCD counter – D/A conversion – R-2R binary ladder method – A/D conversion

– successive approximation.

154

TEXT BOOKS:-

Malvino and Leach, Digital Principles and Applications -, TMH,2007.

Vijayendran, S. Viswanathan, Digital Fundamentals - Printers and Publishers Pvt. Ltd.,

2009.

Virendra Kumar, Digital Electronics -, New Age International Publishers.

BOOKS FOR REFERENCE:-

Avinash Kapoor, Digital Electronics - The National publishing company, 2008.

Maheswari, Principles and Practice of Electronics –, The National publishing company,

2008.

A.P. Godse, Digital Electronics –, Technical Publlsher, Pune. 2009

Morris Mano, Digital Logic and Computer Design Person Education Inc., 2008.

UPHR303 DIGITAL ELECTRONICS- PRACTICAL


Category : Allied Practical I Hrs/Week : 3

Class & Major : II B.Sc (Computer Science) Total Hours : 39

Objectives:

To Enhance their knowledge in the construction of basic logic gates.

To solve Boolean expressions.

To Acquire knowledge on adder, subtractor,multiplexer and decoder.

To Construct flip flops and register.

1. Basic logic gates (AND, OR,NOT) using Discrete components.

2. Simplification of Boolean expression using Karnaugh map.

3. Verifications of DeMorgan‘s Theorem

4. NAND, NOR as Universal gates

5. Half adder and Full adder using NAND gates.

6. Half and Full subtractors using NAND gates.

7. Multiplexer and Demultiplexer

8. RS, T Flip flops using NAND gates only

9. Shift Register

10. Binary Counters

TEXT BOOK



155


Publisher, 1990.

REFERENCE BOOK


edition, 2002.

UPHE202 APPLIED PHYSICS


Category : Non Major elective Hrs/Week : 4


Objectives:

To Acquire knowledge of semiconductors device.

To gain knowledge of IC fabrication

To understand the basics of Laser.

UNIT – I 11 Hrs

Spintronics – introduction-metals based spintronic device – applications – semiconductor –

based spintronic device – applications – spin pumping – spin transfer.

UNIT – II 10 Hrs

Photonics – introduction- photo detectors-p-n photo diode – avalanche photo diode – photo

transistors- photo conductive detectors.

UNIT – III 11 Hrs

Semiconductors – carrier scattering and mobility- drift current and conductivity –

thermistors and piezo resistors –thermoelectric effect.

UNIT –IV 10 Hrs

LED – laser – optical pumping – population inversion – Ruby laser-CO2 laser –He-Ne

laser- photoconductors-solar radiation-thin film solar cel-superconductivity.

UNIT – V 10 Hrs

IC fabrication- fabrication of BJT,FET, monolithic diodes, contacts IC resistors and

capacitors, IC packaging,characteristic of IC components.

Text Books

Charles Kittel, Solid State Physics, Wiley Eastern Ltd., New York, 2003.

Maurugeshan R.,Optics & Spectroscopy, S Chand and company, New Delhi, 2006.

156

Reference Books

Shur M., Physics of semi Conductor devices, PHI Publication, 2001.

UPHE203 BIOMEDICAL INSTRUMENTATION




Objectives

To understand the mechanism describing the interaction of laser radiation with bodily

tissue

To review the properties of lasers and light delivery systems relevant to medicinal

applications

To study effects of radiation on various living cells and lethal dose levels.

To understand the principles and application of photo, nuclear & nano medicines

UNIT-I TECHNIQUES 9 Hrs

Organs of body - charges produced in body - ECG, EEG, EMG, ERG (principle, working

and applications) – MRI

UNIT-II ULTRA SOUND IMAGING 9 Hrs

Transducers - properties of the ultrasound beam - interaction of the beam with the patient -

acoustic impedance - scanning modes - Doppler ultrasound and flow imaging.

UNIT-III X-RAY IMAGING AND X-RAY CT 10 Hrs

X-ray tubes and the generation of X-rays - interaction of X-rays with the patient - image

receptors - X-ray image properties - X-ray computed tomography (CT) - 2-D and 3-D imaging -

filtered back projection.

UNIT-IV NUCLEAR RADIATION AND NUCLEAR MEDICINE 13 Hrs

Basic principle and applications of radiotherapy - tomotherapy - dose effect - diagnostic

use of radioisotopes – nuclear medicine – basic principles - diagnostic use of isotopes - general

principles and procedures of organ scanning - cardiac imaging - thyroid scanning - blood volume

determination by isotope method - photo medicine – synthesis of vitamin D in early and late

cutaneous effects – phototherapy - photo chemotherapy - exposure level, hazards and maximum

permissible exposures - nano medicine and applications.

UNIT-V LASER IN MEDICINE 11 Hrs

Characteristics of laser radiation - laser speckle - biological effects - laser safety

management - medical laser and delivery systems - technology of medical lasers - radiation

characteristics - delivery systems (fibre optics, endoscopy and imaging) - medical application -

laser surgery and microsurgery -photomechanical applications in ophthalmology - photodynamic

therapy.

157

TEXT BOOKS

Bio medical Instrumentation- M. Armugam, Anuradha publications, Chennai,2003.

REFERENCE BOOKS

Moselly, ‗Non ionising Radiation‘ Adam Hilgar Brustol 1988

Branski.S and Cherski.P ‗Biological effects of Microwave‘ Hutchinson & ROSS Inc.

Strondsburg 1980

Waynant, R.W., Lasers in Medicine, (CRC Press 2001)

Katzir, A., Lasers and Optical Fibers in Medicine, (Academic 1993)

UPHE302 PHYSICS FOR COMPETITIVE EXAMS




Objectives

To understand the basic laws in physics.

Get an idea to solve problems in physics.

UNIT – I 11 Hrs

Motion in one Dimension: Motion in a straight line, uniform and non – uniform motion,

their graphical representation, Uniformly accelerated motion, and its applications.

Laws of motion: Force and inertia Newton‘s Laws of Motion. Conservation of linear

momentum and its application, rocket propulsion, friction laws of friction.

UNIT – II 11 Hrs

Work, Energy and Power: Concept of work, energy and power: Energy kinetic and

potential. Conservation of energy and its applications, Elastic collisions in one and two

dimensions. Different forms of energy. Impulse – Collision – The centre of mass – Angular motion

in plane – Equation for uniformly accelerated angular motion.

UNIT – III 10 Hrs

Waves: Wave motion, speed of a wave, longitudinal and teraservers waves, superposition

of waves, progressive and standing waves, free and forced Oscillations, resonance, vibration of

string, Doppler effect. Electromagnetic waves: Electromagnetic oscillations. Electromagnetic

wave spectrum from gamma to radio waves – their use and propagation , properties of the

atmosphere w.r.t. electromagnetic spectrum.

UNIT – IV 10 Hrs

Heat and Thermodynamics: First law of thermodynamics, thermodynamic processes

Second law of thermodynamics, Carnot cycle, efficiency of heat engines.

Transference of Heat: Modes of transference of heat. Thermal Conductivity. Black body

radiations, Kirchoff‘s Law, Wien‘s law, stefan‘s law of radiation and Newton‘s law of

cooling(statement only).

158

UNIT – V 10 Hrs

Current Electricity: Electric current and its unit, sources of energy, Ohm‘s law,

Kirchoff‘s law, series and parallel circuits. Magnetostaties : Bar magnet, magnetic field, lines of

force, torque on a bar magnet in a magnetic field, earth‘s magnetic field, para, dia and ferro-

magnetism(definitions and proberties). Semi – conductors devices: semi – conductors, PN

junction, diodes, diodes as rectifier, junction transistors.

Text Books

Brijilal & Subramanyan, Heat and Thermodynamics, S Chand and Company, New Delhi,

1995

Mathur D.S., Mechanics, New Delhi, S chand and Company, New delhi, 2005.

Murugesan R., Modern physics,m S chand and Company, New delhi, 2004.

Reference Books

Shur M., Physics of semi Conductor devices, PHI Publication, 2001.

UPHE302 SERVICING AND MAINTENANCE OF HOME APPLIANCES


Category : Non Major Elective Hrs/Week : 4

Class : II UG Total Hours : 52

Objective:

To understand the principles and functions of basic circuit elements.

To study the servicing and maintenance of home appliances.

UNIT I BASIC CIRCUIT ELEMENTS 9 Hrs Resistor – capacitor – inductor – diodes – transistors – LED – LCD - LDR (principles &

function) ac & dc currents - generation and distribution of ac – transformer - measurements of ac –

ammeter – voltmeter – multimeter - wattmeter.

UNIT II HOME APPLIANCES 12 Hrs

Incandescent lamp - mercury lamp - sodium vapour lamp – CFL lamp – fan – mixer –

grinder - power supplier – inverters (UPS ) (principles and functions only) - air conditioner - air

cooler – refrigerator - washing machine - water heater - induction stove - electric cooker -

microwave oven. (principle, working and precautions only).

UNIT III ELECTRONIC DEVICES 9 Hrs

Speaker - loud speaker – mike – CD – DVD – VCD – TV - LCD TV - digital clock - digital

watch - cell phone - internet modem (principles and functions only).

UNIT IV SENSORS 7 Hrs

Sensors - heat and light sensors - remote sensors - smoke detectors - types of alarms –

indicators – LDR -gas sensor ( principles and functions only).

159

UNIT V PRACTICALS 15 Hrs

Serving and maintenance – Mixer – Grinder - Gas stove – Refrigerator - Air cooler - Air

conditioner - Colour TV - DVD Player - LDR.

TEXT BOOKS

Colour Television & Video Technology by A.K. Maini CSB Publishers,2005.

VCR - Principles, Maintenance & Repair by S.P. Sharma, Tata Mc Graw Hill, New

Delhi,2003.

Service Manuals, BPB Publication, New Delhi

A Text Book of Electrical Technology – B.L. Theraja,2005.

REFERENCE BOOKS

J.B.Gupta, Electrical Machines, SK Kataria and Sons, New Delhi.2010.

Edward, Electrical Technology, ELBS Publication, 1978.

Documents

ACADEMIC COUNCIL BOOKLET IV