DEPARTMENT OF MATHEMATICS UG MATHEMATICS COURSE PATTERN ... · DEPARTMENT OF MATHEMATICS UG MATHEMATICS COURSE PATTERN ... UNIT I PROSE 2hours 1. Stephen Leacock - With the Photographer

1

DEPARTMENT OF MATHEMATICS

UG MATHEMATICS COURSE PATTERN (2014-2017)

Sem. Part Code Subject Title Hours Credits

I

I 14GT1GS01 Tamil 5 3

II 14GE1GSA1/

14GE1GSB1

English 6 3

III 14MA1MC01 Algebra 6 4

III 14MA1MC02 Calculus 5 4

III 14PH1AC01 Allied Physics-Theory-I 3 3

III 14PH1AP01 Allied Physics- Practical-I 2 1

IV 14VE1GS01 Value Education 3 3

Total No. of papers - 7 30 21

II


II 14GE2GSA2/

14GE2GSB2

English 6 3

III 14MA2MC03 Analytical Geometry of 3-Dimension & Trigonometry 6 4

III 14MA2MC04 Differential Equations &Vector Calculus 6 4

III 14PH2AC02 Allied Physics –Theory-II 3 3

III 14PH2AP02 Allied Physics-Practical -II 2 1

IV 14ES2GS01 Environmental studies 2 2

Total No. of papers – 7 30 20

III


II 14GE3GSA3/

14GE3GSB3

English 6 3

III 14MA3MC05 Sequences & Series 6 5

III 14MA3MC06 Linear programming 4 4

III 14MA3AC03 Core Allied – Statistics-I 5 4

IV 14MA3NE01 NME-1 2 2

IV 14CA3SKB1 SBE-1 – Office Automation 2 2


IV


II 14GE4GSA4/

14GE4GSB4

English 6 3

III 14MA4MC07 Mechanics 7 6

III 14MA4AC04 Core Allied -Statistics – II 5 4

III 14MA4CE1A/

14MA4CE1B

Core Elective: Financial Mathematics/Astronomy 4 3

IV 14MA4NE02 NME -2 2 2

IV 14CA4SKB2 SBE-2 – Web Designing 2 2


V

III 14MA5MC08 Modern Algebra 6 5

III 14MA5MC09 Real Analysis 6 5

III 14MA5MC10 Graph Theory 6 5

III 14MA5MC11 Programming in C – Theory 4 4

III 14MA5CP01 Programming in C –Lab 2 1

III 14MA5CE2A/

14MA5CE2B

Numerical Methods/Fuzzy sets and Fuzzy numbers 4 3

IV 14MA5SK03 SBE-3 2 2


VI

III 14MA6MC12 Linear Algebra 6 5

III 14MA6MC13 Complex Analysis 6 5

III 14MA6MC14 Operations Research 6 5

III 14MA6MC15 Programming in C++

- Theory 4 4

III 14MA6CP02 Programming in C++

- Lab 2 1

2

Sem. Part Code Subject Title Hours Credits

VI

III 14MA6CE3A/

14MA6CE3B

Automata Theory & Formal Languages /

Boolean Algebra

4 3

IV 14MA6SK04 SBE-4 – MATLAB 2 2

Total No. of papers - 7 30 25

IV-V V 14EX5GS01 Extension Activity - 2

I-IV V 14NP4GS01 N.S.S / N.C.C / P.Ed - 1

Total For ALL Semesters 180 140

Allied Courses offered by the Department:

Mathematics Paper -I 14MA1AC01

Mathematics Paper -II 14MA2AC02

Skill Based Elective offered by the Department:

Office Automation 14CA3SKB1

Web Designing 14CA4SKB2

Vocational Mathematics 14MA5SK03

MATLAB 14MA6SK04

Non Major Elective offered by the Department:

Discrete Mathematics 14MA3NE01

Fundamentals of Management Techniques 14MA4NE02

Certificate Course offered by the Department:

Certificate Course in Everyday Mathematics CCMAEM01

B.Sc MATHEMATICS QUESTION PATTERN (EXTERNAL)

MAXIMUM – 60 MARKS TIME – 3 HOURS

PART A

10 Questions to be answered

Definition / Example / Fill in the

blanks / Multiple choice Questions

Two questions from each unit

Each carries one

mark

10 x 1 = 10

PART B 5 questions to be answered.

Either or type.

One Question from each unit.

Each carries Four

marks

5 x 4 =20

PART C 3 Questions to be answered out of

5 Questions.

One from each unit.

Each carries Ten

marks.

3 x 10 = 30

3

INTERNAL QUESTION PATTERN FOR NON MAJOR & SKILL BASED ELECTIVE

MAXIMUM – 30 MARKS TIME – 1 HOUR

PART A 5 Questions to be asked

Two Questions from each unit

4 Questions to be answered

Each carries one mark

4 x 1 = 4

PART B 3 Questions Either or type

One Question from each unit

Each carries Four marks

3 x 4 = 12

PART C 2 Questions to be answered out of

Three One question from each unit

Each carries Seven marks

2 x 7 = 14

CONTINUOUS INTERNAL ASSESSMENT FOR NON-MAJOR ELECTIVES & SKILL BASED

ELECTIVES - THEORY

CONTINUOUS INTERNAL ASSESSMENT FOR NON-MAJOR ELECTIVES AND SKILL BASED

ELECTIVES - PRACTICAL

Component Marks

Test - I 30

Test – II 30

Quiz 10

Assignment 10

Open book Test 10

Comprehensive Test 10

Total 100

Component Marks

Practical Test - I 30

Practical Test – II 30

Lab Performance 10

Lab Records 10

Quiz 10

Lab Attendance 10

Total 100

4

TESTING AND EVALUATION (UG)

Evaluation of students is based on both Continuous Internal Assessment (CIA) and the

Semester Examination (SE) held at the end of each Semester. The distribution of marks is indicated

below:

Course CIA Semester

Examination

Theory 40% 60%

Practical 50% 50%

SBE, NME, EVS &VE 100% -----

Project 50% 50%

CONTINUOUS INTERNAL ASSESSMENT (THEORY)

Continuous Assessment will be carried out by the Course Teachers. The components of

CIA are as follows:

The total internal marks obtained for 80 will be converted into marks obtained for 40. The

department concerned can decide the components of the practical papers according to the nature of

their subject.

PROJECT WORK

The internal components for project work are as follows.

Components Marks

First Review 10

Second Review 10

Final Review (Internal Viva- Voce) 30

Total 50

CIA FOR FOUNDATION COURSE (VALUE EDUCATION)

The Value Education Course has no external Semester Examination. It has only CIA. Every

student has to undergo one course under Value Education. The course is evaluated as shown below and

the credit is awarded at the end of the first semester.

Components Marks

Mid Semester 40

End Semester 40

Class activities 10

Book/Film Review 10

Total 100

Components Marks

Test –I 30

Test –II 30

Seminar/Quiz 10

Assignment 05

Attendance 05

Total 80

5

CIA FOR ENVIRONMENTAL STUDIES

The components of Internal Assessment for Environmental Studies are as follows:

Components Marks

Test I 40

Test II 40

Environment Trip Report 10

Assignment 10

Total 100

CIA FOR NON-MAJOR ELECTIVES AND SKILL BASED ELECTIVES-(THEORY)

The components of internal assessment for NME and SBE are as follows:

Components Marks

Test -1 30

Test – 2 30

Component I 10

Component II 10

Component III 10

Component IV 10

Total 100

The department concerned can decide the name of the component according to the nature of

the course and it should be approved by the Academic Council.

CIA FOR NON-MAJOR ELECTIVES AND SKILL BASED ELECTIVES (PRACTICAL)

The components of internal assessment for NME and SBE (Practical) are as follows:

Components Marks

Practical Test -1 30

Practical Test – 2 30

Lab Performance 10

Lab Records 10

Quiz 10

Lab Attendance 10

Total 100

The internal question pattern for NMEs and SBEs should be approved by the academic

council.

6

RE-TESTS OF CIA

There is no minimum mark for continuous assessment. There will be no provision for

additional tests on grounds of poor performance. However, students, who are unable to take tests as

they have to participate in college sponsored activities during the test days, would be permitted to

complete the course requirements before the commencement of the Semester Examinations, provided

they have obtained a written permission from the Principal, stating clearly the reason for the absence, a

week before the commencement of Retest schedule. A student who could not get the minimum pass

mark in the aggregate of CIA and semester exams due to very low marks in CIA, shall be given a

chance to take up CIA improvement exam, provided the student has appeared twice for the external

exam in the particular paper and failed during the course of her study.

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7

PART – I Tamil

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ghlE}y;fs; :

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Kjy; gjpg;G - 2008.

8

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Kjy; gjpg;G – 2008.

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nrd;id–17> gj;jhk; gjpg;G – 2009.

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9

ENGLISH

LANGUAGE THROUGH LITERATURE- I

STREAM -A

Semester : I Hours: 6

Code : 14GE1GSA1 Credits: 3

OBJECTIVE

- To impart effective communication skills to the learners

UNIT I PROSE 2hours

1. Stephen Leacock - With the Photographer

2. Catherine Lim - Eggs

3. M.K.Gandhi - Voluntary Poverty

UNIT II POETRY 1hour

1. Alfred Noye - The Highway Man

2. William Wordsworth - The Solitary Reaper

3. W.B.Yeats - The Ballad of Father Gilligan

UNIT III SHORT STORY 1 hour

1. Guy de Maupassant - Simon‟s Papa

2. Lafcadio Hearn - The Living God

UNIT IV COMMUNICATIVE EXPRESSIONS 1 hour

1. Greeting

2. Introducing

3. Making Request

4. Seeking Permission

5. Expressing Gratitude

6. Complimenting/congratulating

UNIT V COMPOSITION (GENERAL) 1 hour

1. Letter Writing

2. Filling Forms

10

ENGLISH

LANGUAGE THROUGH LITERATURE- I - 14GE1GSA1

QUESTION PATTERN

Stream-A

Time: 3 hours Marks: 60

I. Choose the Correct Answer (10x1=10)

(from units I & II)

II. Fill in the blanks. (5 x 1 = 5)

( from unit I based on grammar)

III. Match the following. (5 x 1 = 5)

( Vocabulary items from unit I)

IV. Answer any two of the following in a paragraph of 100 words each (2 x 5 =10)

( two out of 4 from units I , II & III)

V. Answer any two of the following in an essay of 300 words each (2 x 10 =20)

( 2 out of 4 from units I, II & III)

VI. a) Matching the expressions or Providing response to the expressions.

(from unit IV) (5)

b) Filling Forms/letter writing (5)

(from unit-V)

11

ENGLISH

LANGUAGE THROUGH LITERATURE- I

STREAM – B

Semester: I Hours: 6

Code : 14GE1GSB1 Credits: 3

OBJECTIVE


UNIT I PROSE 2 hours

1. Norman Vincent Peale - Buliding Self Confidence

2. Bonnie Chamberlin - The Face of Judas Iscariot

UNIT II POETRY 1 hour

1. Rabindranath Tagore - Where the Mind is without Fear

2. Sri Aurobindo - The Tiger and the Deer


1. A story from Norway - The Treasure Hunt

2. A Story from Burma - The Man who Could not Eat


1. Greeting

2. Introducing

3. Making Request

4. Seeking Permission

5. Expressing Gratitude

6. Complimenting/congratulating

UNIT V COMPOSITION (GENERAL) 1 hour

1. Letter Writing

2. Filling Forms

12

ENGLISH

LANGUAGE THROUGH LITERATURE- I- 14GE1GSB1

QUESTION PATTERN

Stream-B


I. Choose the Correct Answer (10 x1=10)

(from units I & II)

II. Fill in the blanks. ( 5 x 1 =5)

(from unit I based on grammar)

III. Match the following. ( 5 x 1= 5)


IV. Answer any two of the following in a paragraph of 100 words each ( 2 x 5=10)

(two out of 4 from units I ,II,&III)

V. Answer any two of the following in an essay of 300 words each (2x10=20)

( 2 out of 4 from units I,II & III)


(from unit IV)


(from unit-V)

13

ALGEBRA

Semester: I Credits: 4

Code : 14MA1MC01 Hours : 6

OBJECTIVES:

To understand the different concepts and applications of binomial theorem and methods involved in

theory of equations and utilize them in solving problems.

UNIT I:

Binominal Theorem for a Rational Index –Some important particular cases of the Binomial Expansion

–Sign of terms in Binomial Expansion – Numerically greatest term –expansion using partial fractions -

Application of the Binomial Theorem to the summation of series– Approximate values . 18 hrs

UNIT II:

Exponential & Logarithmic series – Exponential limit – „e‟ is an incommensurable number –the

Exponential theorem – Summation. 18 hrs

UNIT III:

The Logarithmic Series –Modification of the Logarithmic Series - Euler‟s constant – series which can

be summed up by the Logarithmic series- calculation of logarithms by means of the Logarithmic Series

- the application of exponential and Logarithmic series to limits and approximations. 18 hrs

UNIT IV:

Theory of Equations: Remainder theorem- Fundamental theorem of Algebra – relation between roots

and coefficients - symmetric function of the roots –sum of the powers of the roots of an equation -

Newton‟s theorem on sum of powers of roots. 18 hrs

UNIT V:

Transformation of Equations – Roots with signs changed – Roots multiplied by a given number -

Reciprocal roots - Reciprocal equations – Standard form of Reciprocal Equations - To increase or

decrease the roots of a given equation by a given quantity- Form of the quotient and remainder when a

polynomial is divided by a binomial- Removal of terms - Numerical solution by Horner‟s method, and

Newton‟s Method. 18 hrs

TEXT BOOK:

T.K. Manickavasagom Pillay, T. Natarajan & K.S. Ganapathy, Algebra Volume -I , S. Viswanathan

(Printers & Publishers ) Pvt. Ltd., 2012

Unit I : Chapter 3: Sections 5, 6, 7, 8, 9, 10 &14

Unit II : Chapter 4: Sections 1 to 4

Unit III : Chapter 4: Sections 5 to 11

Unit IV : Chapter 6 : Sections 1 to 14

Unit V : Chapter 6 : Sections 15 to 19 & 30

14

CALCULUS

Semester: I Credits: 4


OBJECTIVES:

1. To lay a strong foundation in calculus by introducing the concepts of curvature and multiple

integrals.

2. To provide the techniques in solving problems using Jacobians.

UNIT I:

Higher Derivatives - nth

derivatives of some standard functions - Leibnitz Theorem –Pedal Equation of

a curve - length of the perpendicular from the pole to the tangent at P(r, θ) 15 hrs

UNIT II:

Curvature - The length of an arc and its derivatives - for Radius of curvature in different forms -

Evolutes- Centre and circle of curvature- Coordinates of the centre of curvature. 15 hrs

UNIT III:

Jacobians - Multiple points - Asymptotes - Curve Tracing - Tracing of curves f(x, y) = 0(Cartesian

coordinates) – tracing a curve f(r, θ) = 0(polar coordinates) - tracing a curve x = f (t), y = g (t)

(parametric equations). 15 hrs

UNIT IV:

Double Integrals - Evaluation of double integrals - Changing the order of integration. 15 hrs

UNIT V:

Triple Integrals - Change of variables in Double and Triple integrals. 15 hrs

TEXT BOOK:

Arumugam and Isaac, Calculus (Differential and Integral Calculus), New Gamma Publishing House,

2005.

PART - I:

Unit I : Chapter: 2 Sections 2.12, 2.13,

Chapter: 3 Section 3.3

Unit II : Chapter: 3 Sections 3.4, 3.5

Unit III : Chapter: 3 Sections 3.9, 3.10, 3.11, 3.12

PART - II:

Unit IV : Chapter: 3 Sections 3.1, 3.2

Unit V : Chapter: 3 Sections 3.3, 3.4

15

ALLIED PHYSICS

MECHANICS, PROPERTIES OF MATTER & THERMAL PHYSICS

SEMESTER: I HOURS : 3

CODE : 14PH1AC01 CREDITS : 2

OBJECTIVES:

1. To get theoretical knowledge of various applications Related to mechanics

2. To introduce the basic principles of thermodynamics

UNIT I: ROTATIONAL MOTION (8 hrs)

Introduction –Angular Velocity – Normal acceleration – with derivation-Centrifugal and centripetal

forces –Torque & angular acceleration-Work &power irrotational motions –Angular momentum

Kinetic energy of rotation- Moment of Inertia –Laws of Parallel and Perpendicular axis theorem- M.I.

of a circular ring – circular disk,solidsphere – Hollow sphere and cylinder.

UNIT II: GRAVITATION & ELASTICITY (8 hrs)

Kepler‟s law of planetary motion –Law of gravitation –Boy‟s method – Compound pendulum–

Expression for period –Experiment to find g – Variation of g with altitude, latitude & depth-Artificial

satellites –Elastic modulus- Poisson‟s ratio –Beams Determination of Young‟s modulus by uniform

bending – I section girders –Torsion - Expression for couple per unit twist – Work done per unit twist

–Torsion pendulum.

UNIT III: CONDUCTION & CONVECTION (7 hrs)

Lee‟s disc method – Analogy of heat flow & current flow – Weidman & Franz Law –Convection in

atmosphere – Lapse rate – stability of atmosphere – Green house effect –Atmospheric Pollution .

UNIT IV: RADIATION (7hrs)

Stefan‟s law - Determination of Stefan‟s constant – Solar constant – Measurement – Water flow

Pyrheliometer – Temperature of the sun- Solar spectrum – Planck‟s constant with derivation-

derivation of Wein‟s law & Raleigh Jeans Law –from Plank‟s Law.

UNIT V: THERMODYNAMICS (7hrs)

Efficiency – Carnot‟s theorem (statement only) – II Law of Thermo dynamics – Entropy –Change of

entropy on Carnot‟s cycle - Change of entropy when ice is converted to steam .

BOOKS FOR STUDY:

1. Mechanics, properties of matter & Sound , R.Murugesan, 2010, S Chand Publications

UNIT: I chapter 2

UNIT: II chapter 3 & 4 Thermal physics- R.Murugesan

UNIT: III chapter 3 & 4

UNIT: IV chapter 5

UNIT: V chapter 7

2. Thermal physics, R.Murugesan, S Chand Publications, 2008

BOOKS FOR REFERENCE:

1. Mechanics, D S Mathur, S.Chand, New Delhi, IX, 2008

2. Heat &Thermodynamics, Brijlal & Subramanyam, S.Chand, New Delhi, IV, 2004

16

ALLIED PHYSICS – PRACTICAL

[ANY 6]

SEM : I & III HOURS : 2

CODE : 14PH1AP01 CREDITS : 2

1. Young‟s Modulus- Uniform Bending – Pin and Microscope.

2. Young‟s Modulus- Uniform Bending – Optic lever- Telescope and Scale method.

3. Young‟s Modulus- Non Uniform Bending –Optic Lever- Telescope and Scale method.

4. Young‟s Modulus- Non Uniform Bending – Pin and Microscope.

5. Torsion Pendulum- Rigidity modulus.

6. Determination of g using Compound Pendulum.

7. Comparison Capacitances.

8. Low Range Voltmeter Calibration using Potentiometer.

9. Comparision of emf ‟s.

17

VALUE EDUCATION

SYLLABUS

Semester: I Hours : 3/week

Code : 14VE1GS01 Credit : 3

OBJECTIVES

1. To build overall personality of an individual with self-esteem, self-confidence and self-acceptance

2. To promote positive thinking, problem solving and decision making in students

UNIT I (10hrs)

Basic Values in Life- personal, social, spiritual and professional- Life oriented skills -external and

internal influences of one‟s life-self-esteem, self-concept, self-acceptance and personality

development- Positive thinking-positive attitude--the models of positive thinking- the power of positive

thinking

UNIT II (10 hrs)

Motivation and self-actualization –Inspiration Vs motivation-internal and external motivation-push and

pull motives-motivators- demotivating factors- Goal setting- Goal, its focus and importance – obstacles

to set goals-different types of goals-balanced goal-goals consistent with values-

UNIT III (10 hrs)

Success and its definition-obstacles to success-overcoming obstacles- qualities that make a person

successful- Problem solving- Ten principles for managing problems positively-meaning of decision

making-decision making process-

UNIT IV (10 hrs)

Time management- its importance- its usefulness-time factor-the management of time is management

of life-tips for time management-Stress- its kinds-its causes and effects-sources of stress – response to

stress- tips for managing stress.

UNIT V (5 hrs)

kdtsf;fiy – vspa Kiw Nahfg; gapw;rpfs; - jpahdg; gapw;rpfs; - mfj;jha;Tg; gapw;rpfs;

TEXT BOOK:

1. Dr. Xavier Alpphonse S.J., ”We Shall Overcome” – A Text book on Life Coping Skills, ICRDCE

Publication, Chennai, 2011

2. mwpQh; FO. MopahW – tho;tpy; ntw;wp ngw khzth;fSf;F kdtsf;fiy Ntjhj;jphp

gjpg;gfk; - <NuhL.

18

REFERENCE

1. mUs;epjp M.K. jhNkhjud; KJepiy Nguhrphpah; - ,NaR fhl;Lk; Nahfk;. md;G newp

ntspaPL jpz;Lf;fy;.

2. Dennis K. Kelly, “Achieving Unlimited Success”, Indra Publishing House, Bhopal, 2009

3. S. Baalaraman, M.K. & S.K. Rangari, “Development of Generic Skills, Denett & Co, Nagpur,

2008.

4. Elizabeth B. Hurlock, „Personality Development, TMH Publications, New Delhi, 2004.

CONTINUOUS INTERNAL ASSESSMENT

Mid Semester 40

End Semester 40

Class Activities 10

Film Review 10

Total 100

QUESTION PATTEN

Portions for Internal Tests:

I & II Units - Mid Semester

III & IV Units - End Semester

V Unit - Practical

(Practical marks will be added in the component of “Class Activities” in Internal Assessment)

Sections Mark Scheme

1. Short answer type – 10 questions out of 15 10x2=20

2. Paragraph answer type including case study- 4 questions out of 6 4x5=20

Total 40

19

PART – I Tamil

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ehtypd; Njhw;wKk; tsh;r;rpAk;.

20

ghl E}y;fs;; :

1. jkpo;j;Jiw ntspaPL - n[auh[; md;dghf;fpak; kfsph; fy;Y}hp> nghpaFsk;.

2. Mj;khtpd; ,uhfq;fs; - eh.ghh;j;jrhujp ghit gg;spf;Nf\d;];. ,uhag;Ngl;il. nrd;id-14.

3. ,yf;fpa tuyhW - vk;.Mh;.milf;fyrhkp> uhrp gjpf;fk;>nrd;id – 73.

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nrd;id - 98. 5Mk; gjpg;G> 2013

21

ENGLISH

LANGUAGE THROUGH LITERATURE- II

STREAM -A

Semester: II Hours: 6

Code : 14GE2GSA2 Credits: 3

OBJECTIVE



1. Jawaharlal Nehru - The Ganga

2. Bernard Shaw - How I became a public Speaker


1. John Masefield - Laugh and be Merry

2. Rupert Brooke - Menelaus and Helan


1. Oscar Wilde - The Selfish Giant

2. H.H Munro(Saki) - The Story Teller


1. Offering Help

2. Apologizing

3. Making Suggestions

4. Expressing Likes and Dislikes

5. Leave taking

6. Agreeing & disagreeing

UNIT V COMPOSITION ( GENERAL) 1 hour

1. Comprehension

2. Welcome speech and Vote of Thanks

3. Introducing oneself & others

22

ENGLISH

LANGUAGE THROUGH LITERATURE- II- 14GE2GSA2

QUESTION PATTERN

Stream-A


I. Choose the Correct Answer (10 x 1=10)

(from units I & II)

II. Fill in the blanks. ( 5 x 1 = 5)


III. Match the following. ( 5 x 1=5 )


IV. Answer any two of the following in a paragraph of 100 words each ( 2 x 5=10)


V. Answer any two of the following in an essay of 300 words each (2 x 10=20)

( 2 out of 4 from units I, II & III)


(from unit IV)


(from unit-V)

23

ENGLISH

LANGUAGE THROUGH LITERATURE- II

STREAM –B

Semester : II Hours: 6

Code : 14GE2GSB2 Credit: 3

OBJECTIVE



1. R. K. Narayan - On Funny Encounters

2. Stephen Leacock - My Lost Dollar


1. William Wordsworth - The Daffodils

2. Christiana Rossetti - Up-hill


1. A Story from Malaya - The Cloud‟s Secret

2. A Story of the Red Indians - The Baby‟s Victory


1. Offering Help

2. Apologizing

3. Making Suggestions

4. Expressing Likes and Dislikes

5. Leave taking

6. Agreeing & disagreeing

UNIT V COMPOSITION ( GENERAL) 1 hour

1. Comprehension

2. Welcome speech and Vote of Thanks

24

ENGLISH

LANGUAGE THROUGH LITERATURE – II - 14GE2GSB2

QUESTION PATTERN

STREAM –B


I. Choose the Correct Answer (10 x 1=10)

(from units I & II)

II. Fill in the blanks. ( 5 x 1 =5)


III. Match the following. ( 5 x 1 =5)


IV. Answer any two of the following in a paragraph of 100 words each ( 2 x 5 =10)


V. Answer any two of the following in an essay of 300 words each (2 x 10=20)

(2 out of 4 from units I, II & III)


(from unit IV) (5)


(from unit-V)

25

ANALYTICAL GEOMETRY OF 3-DIMENSION AND TRIGONOMETRY

Semester: II Credits: 4


OBJECTIVES:

1. To learn about three dimension geometry and to solve problems.

2. To appreciate the idea of hierarchy in 3D.

UNIT I: 18 hrs

The Plane: Plane equations in various forms – angle between two planes – length of the perpendicular –

bisecting plane – distance between two parallel planes.

UNIT II: 18 hrs

The straight line : symmetrical form – image of a point – image of a line in a plane - the plane and the

straight line – angle between a plane and straight line – coplanar lines – shortest distance between two

lines – equations of two skew lines in a simplified form.

UNIT III: 18 hrs

The sphere: equation of the sphere – length of the tangent – plane section of a sphere – equation of a

circle on a sphere – intersection of two spheres – equation of the tangent plane.

UNIT IV : 18 hrs

Expansion of functions sin nθ, cos nθ, and tan nθ – examples on formation of equations – powers of

sines and cosines of θ in terms of multiples of θ – expansions of sinθ, cosθ, tanθ in a series of

ascending powers of θ.

UNIT V: 18 hrs

Hyperbolic functions – relation between hyperbolic functions – inverse hyperbolic functions –

logarithm of complex numbers.

TEXT BOOKS:

I. T.K. Manickavasagom Pillay and T. Natarajan, A Text book of Analytical Geometry Part II – Three

Dimensions, S. Viswanathan (Printers & Publishers) Pvt., Ltd., 2001.

II. S. Narayanan & T.K. Manickavasagom Pillay, Trigonometry, S. Viswanathan (Printers & Publishers)

Pvt., Ltd., 2001.

Unit I : Chapter: 2 Sections 1 to 11

Unit II : Chapter: 3 Sections 1 to 8 Book I

Unit III : Chapter: 4 Sections 1 to 8

Unit IV : Chapter 3, Chapter 4 Book II

Unit V : Chapter: 5 Section 5 only.

26

DIFFERENTIAL EQUATIONS AND VECTOR CALCULUS

Semester : II Credits: 4


OBJECTIVES:

1. To generalize the natural goal of Calculus and the importance of Mathematics in Physical

Science, Engg. etc.

2. To introduce the methods of solving a linear PDE which play a vital role in more advanced

theory.

UNIT I: 18 hrs

Linear Equations with variable coefficients – Equations reducible to the linear equations –

Simultaneous differential Equations of the first order & first degree – Methods for solving dx/P = dy/Q

= dz/R. Simultaneous linear differential equations.

UNIT II: 18 hrs

Laplace transforms – theorems and problems –Laplace Transform of periodic functions-Some general

Theorems- Evaluation of integral using Laplace transform. Inverse Laplace transform – Problems on

inverse Laplace transforms – solving Ordinary differential Equations with constant coefficient using

Laplace transform

UNIT III : 18 hrs

Partial differential equations of the first order – Classification of integrals – Derivation of PDE –

Lagrange‟s method of finding the general integral of the linear equation Pp + Qq = R. Special

methods – Standard forms – Charpit‟s method.

UNIT IV: 18 hrs

VECTOR DIFFERENTIATION

Differentiation of vectors - a few results on differentiation of vectors – meaning of the derivative of

position vector – physical applications – level surfaces vector differential operator - gradient –

direction and magnitude of gradient – divergence and curl – soleniodal – irrotational vector and their

properties – operators involving twice.

UNIT V: 18 hrs

VECTOR INTEGRATION

Line integral and theorems – volume integral – surface integral – Gauss divergence theorems- Green‟s

theorem(in space) other forms of Green‟s theorem – Stoke‟s theorem – Green‟s theorem in plane

(simple problems only) .

TEXT BOOKS:

1. S. Narayanan & T.K.Manickavasagom Pillay, Differential Equations and its Applications,

S. Viswanathan (Printers & Publishers) Pvt. , Ltd., 2011.

27

2. S. Narayanan and T. K. Manickavachagom. Pillay, Vector Algebra & Analysis S. Viswnathan

(Printers & Publishers) Pvt. Ltd., 1995.

Unit I : Chapter 5 – Section 5 & 6

Chapter 6 – Sections 1 to 6 Book I

Unit II : Chapter 9 –Sections 1 to 10

Unit III : Chapter 12 –Sections 1 to 6

Unit IV : Chapter 4 –Sections 1 to12

Unit V : Chapter 6 – Sections 1 to 10. Book 2

28

ALLIED PHYSICS

ELECTRICITY, ELECTRONICS AND MODERN PHYSICS

Semester : II Credits : 2

Code : 14PH2AC02 Hours : 3

UNIT I : MAGNETIC EFFECT (8 hrs)

Torque on a current loop-mirror galvanometer, dead beat and ballistic – current and voltage

sensitiveness – BG theory- damping correction-experiments for charge sentivitiveness- comparison of

emf‟s and comparison of capacitors.

UNIT II : CURRENT ELECTRICITY (8 hrs)

Kirchhoff‟s law-application of wheat stone‟s net work- sensitiveness of bridge- carey foster bridge-

measurement of resistance and temperature coefficient of resistance-principle of potentiometer-

calibration of ammeter and voltmeter- low and high range- measurement of resistance using

potentiometer.

UNIT III : ELECTRONICS (8 hrs)

Junction diode- forward and reverse bias- diode characteristics- types of diodes- (LEDand Zener)

Bridge rectifier using diodes-п filter- Transistors- Characteristics (CE mode only)- Biasing and action

of a single transistor(CE) amplifier Frequency response- Hartley oscillator- modulation (Qualificative

study) – Op- amp and its characteristics- Virtual earth- voltage amplifier in inverting mode- Op- amp

as adder and subtractor.

UNIT IV: DIGITAL ELECTRONICs (8 hrs)

Binary number system- Binary to decimal and decimal to binary conversions- Addition and

subtraction of binary numbers-Logic circuits -Boolean algebra- Demorgan‟s theorem- gates- AND,

OR, NOT, NAND, NOR gates- NAND and NOR gates as universal building blocks – Exclusive OR

gate.

UNIT V: WAVE NATURE AND RELATIVITY (8 hrs)

De Broglie‟s theory – Electron diffraction –G.P. Thomson‟s experiment- Michelson Morley

experiment- significance of the negative results- Postulates of special theory of relativity- Lorentz

transformation equation- Length contraction- Time dilation-Variation of mass with velocity – Mass

energy relation.

BOOKS FOR STUDY:

1. Electricity & Electronics - R.Murugesan, Vivekananda Press, 2008

UNIT I – Chapter II

UNIT II – Chapter III (3A)

UNIT III – Chapter IV

UNIT IV – Chapter V ( 5A & 5B)

2. Optics Spectroscopy & Modern Physics - R.Murugesan Vivekananda Press, 2008

UNIT V – Chapter 5


1. Electricity & Magnetism- Brijlal & N.Subaramaniyam, S. Chand & Company, Ltd., 2010

2. Modern Physics - R. Murugesan, Tata Mcgraw Hill, Edition, 2005

3. Digital principles and applications - Leach & Malvino, Tata Mcgraw Hill, Edition, 2005

29

ALLIED PHYSICS – PRACTICAL

[ANY 6]

SEM : II & IV HOURS : 2

CODE: 14PH2AP02 CREDITS : 2

1. AND, OR, NOT – Using discrete Components.

2. AND, OR, NOT – Using IC 74 – Series.

3. NAND, NOR –Using IC.

4. AC – Frequency Sonometer.

5. Universal Gates.

6. LCR Series Circuit.

7. Zenor Diode Characteristics.

8. Verification of Boolean theorems.

9. Half adder and Half Subtractor.

30

ENVIRONMENTAL STUDIES

Semester : II Hours: 2

Code : 14ES2GSO1 Credits: 2

UNIT I

MULTIDISCIPLINARY NATURE OF ENVIRONMENTAL STUDIES:

Definition, scope and importance - Need for public awareness (2 hours)

UNIT II

NATURAL RESOURCES

Classification of Resources: Renewable and non – renewable resources - Forest resources, water

resources, mineral resources, food resources, energy resources, Land resources - associated problems;

Role of an individual in conservation of natural resources - Equitable use of sources for sustainable life

styles (8 hours)

UNIT III

ECOSYSTEMS

Concept of an ecosystem - Structure and function of an ecosystems - Producers, Consumers and

decomposers - Energy flow in the ecosystem -Food chains, food webs and ecological pyramids -

Introduction, types, characteristic features, structure and function of the following -Eco system: Forest,

grass land, desert, aquatic (6 hours)

UNIT IV

ENVIRONMENTAL POLLUTION

Definition, Causes, effects and control measures of Air pollution, Water pollution, Soil pollution,

Marine pollution, Noise pollution,Thermal pollution, Nuclear hazards, Solid waste management, Role

of an individual in prevention of pollution. Pollution - case studies Disaster Management: Earth

quake, Tsunami – causes, consequences, control measures. (8 hours)

UNIT V

SOCIAL ISSUES AND THE ENVIRONMENTS

From unsustainable to sustainable development - Urban problems related to energy Water

conservation, rain water harvesting, water shed management Resettlement and rehabilitation of

people, its problem and concerns, case studies,Environmental ethics, Climate change, global warming,

acid rain and ozone layer depletion, nuclear accidents and holocaust, case studies. Waste land

reclamation. Environmental protection act, air act, water act, wild life protection act. (6 hours)

UNIT VI FIELD WORK (5 hours)

Visit to local area to document environmental assets- river/forest/ grassland/hill/ mountain

Course Text: Environmental science and Engineering R. Murugeshan

Unit – I : Section – 1.1 & 1.2

Unit – II : Section - 1.3 to 1.37

Unit – III : Section - 2.1 to 2.7 & 2.10 to 2.27

Unit – IV : Section - 3.1 to 3.37

Unit – V : Section – 4.1 to 4.17

Note: Tamil Version for Tamil Literature and History Tamil Medium Students.

31

INTERNAL QUESTION PATTERN FOR ENVIRONMENTAL STUDIES

PART Question Type Marks

A One word answer (10x 1) 10

B Short answer type-four questions out of seven (4x5) 20

C Essay type (Either or) (1x10) 10

Total 40

32

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2-Mk; gjpg;G - 1998.

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Kjw; gjpg;G – 1994.

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33

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eh;kjh gjpg;gfk;> nrd;id. Kjw;gjpg;G 1999.

34

ENGLISH

LANGUAGE THROUGH LITERATURE –III

STREAM-A

Semester: III Hours : 6

Code : 14GE3GSA3 Credits : 3

LEARNING OUTCOME

- Helping the students to become familiar with different writers of prose, poetry and one-act plays.

- Strengthening the communication skills through composition and communication and

conversation models.

- Promoting the aesthetic sense and skills of critical appreciation.

UNIT I PROSE 2hours

1. A Glory Has Departed - Jawaharlal Nehru

2. My Greatest Olympic Prize - Jesse Owens

3. When You Dread Failure - A.G Cronin

UNIT II POETRY 1hour

1. Good Bye Party To Miss Pushpa T.S - Nissim Ezekiel

2. Ulysses - Alfred Tennyson

3. A Bird Came Down the Walk - Emily Dickinson

UNIT III ONE-ACT PLAY 1hour

1. Bishop‟s Candle Sticks - Norman Mc kennel

2. Never Never Nest - Cedric Mount

3. The Pie and the Tart - Hugh Chesterton

UNIT IV COMMUNICATION SKILLS 1hour

Conversations-

1. At a bank

2. In the library

3. Reservation status

4. At the sweet shop

5. At the poly clinic

6. On the bus

UNIT V COMPOSITION 1hour

1. Writing Advertisement

2. Writing by Group Discussion

3. Story Completion

4. Essay writing.

35

TEXT BOOKS

1. Siva, Anthony , Dr. Gunasekaran. “Six One-Act Plays”. Chennai: Pavai Publications,

Royapettah, 2009.

2. Kaleem, Nafeesa. “Six One Act-Plays”. Chennai: Anu Chitra Publications, WestMambalam,

1985.

3. Effective Communication in English. Board Of Editors, 2013

BOOKS FOR REFERENCES

1. Effective Communication For you –V.Shyamala

2. Effective Writing Using Good Grammar-E.AMichigan

3. English Grammar For All-Dr.A.M.Kathirkamu

36

ENGLISH

LANGUAGE THROUGH LITERATURE-III-14GE3GSA3

STREAM-A

QUESTION PATTERN

Time:3 hours Max.Marks:60

I. Choose the correct Answer (10x1=10)

(from units I & II)

II. Fill in the blanks (5x1=5)

(from unit I based on Grammar )

III. Write a paragraph on any two of the following questions (2x5=10)

(Two out of 4 from units I, II & III)

IV. Write an essay on any two of the following questions (2x10=20)

(Two out of 4 from units I, II & III)

V. Answer any one of the following questions (5x1=5)

(one out of 3 from unit V)

VI. Answer any two of the following questions (2x5 =10)

(two out of 3 from unit IV)

37

ENGLISH

LANGUAGE THROUGH LITERATURE- III

STREAM B

Semester: III Hours : 6

Code : 14GE3GSB3 Credits : 3

LEARNING OUTCOME

`Acquisition of effective communication skills.


1. Early Influence - Abdul Kalam

2. On Keyhole Morals - A. G. Gardiner

3. Dangers of Drug Abuse - Hardin B. Jones

4. Sweets for Angels - R. K. Narayan


1. My grandmother‟s House - Kamala Das

2. Lucy - William Wordsworth

3. Refugee Mother and child - Chinua Achebe

UNIT III GRAMMAR 1 hour

1. Concord

2. Sentence Structure

3. Sentence Types

UNIT IV COMPOSITION I 1 hour

1. Comprehension

2. Letter Writing

UNIT V COMPOSITION II 1 hour

1. Developing hints into a Paragraph.

2. Note- making

COURSE TEXT:

Daniel James P.C. “Variety of English for Effective Communication”. Bangalore: Harrows

Publications, 2010. (Book 1)


Aggarwala N. K. and F. T. Wood “J C Nesfield English Grammar, Composition &

Usage”.Chennai: Macmillan, 2012.

38

ENGLISH

LANGUAGE THROUGH LITERATURE- III- 14GE3GSB3

STREAM B

QUESTION PATTERN

Time: 3 hours Max.Marks: 60

1. Choose the correct Answer (from Units I & II) 10 x 1= 10

2. Fill in the blanks (from Unit III) 5 x 1 =5

3. Match the following (from Unit III) 5 x 1 = 5

4. Answer any two of the following in a paragraph of 100 words each

(two out of 4 from units I & II) 2 x 5 =10

5. Answer any two of the following in an essay of 200 words each 2 x 10 =20

(two out of 4 from units I & II)

6. Comprehension or Developing Hints (from Unit IV) 1 x 5 = 5

7. Letter Writing or Note Making 1 x 5 =5

39

SEQUENCES & SERIES

Semester: III Credits : 5

Code : 14MA3MC05 Hours : 6/Week

LEARNING OUTCOME

Acquiring knowledge on the fundamental principles, the concepts of sequences and series & different

tests of convergence and divergence.

UNIT I

Inequalities- Triangle inequalities- the arithmetic, geometric and harmonic means- Cauchy - Schwarz

inequality- some more inequalities. (18 hours)

UNIT II

Introduction – sequences – bounded sequences – monotonic sequences – convergent sequence-

Divergent and oscillating sequences- the algebra of limits-behaviour of monotonic sequences.

(18 hours)

UNIT III

Some theorems on limits– subsequences – limit points – Cauchy sequences – the upper and lower

limits of a sequence. (18 hours)

UNIT IV

Series of positive terms - infinite series – comparison test – Kummer‟s test- root test and condensation

test - integral test (18 hours)

UNIT V

Alternating series – absolute convergence – tests for convergence of series of arbitrary terms-

rearrangement of series- Riemann‟s theorem (Statement only)- multiplication of series- Abel‟s

theorem- Mertan‟s theorem (Statement only) - power series. (18 hours)

TEXT BOOK :

S. Arumugam and A.Thangapandi Isaac, Sequences and Series, New Gamma Publishing House,

1997

Unit – I Chapter 2: Sections 2.1-2.5

Unit – II Chapter 3: Sections 3.1 - 3.7

Unit – III Chapter 3: Sections 3.8 – 3.12

Unit – IV Chapter 4: Sections 4.1 – 4.5

Unit – V Chapter 5: Sections 5.1 – 5.6

40

LINEAR PROGRAMMING


Code : 14 MA3MC06 Hours : 4/Week

LEARNING OUTCOME

Enabling the students to acquire a logical foundation and to make them familiar with the Scientific

approach and techniques in decision making problems & Developing skill on forming Quantitative

models in solving managerial problems.

UNIT I

The Linear Programming problem – Introduction-– Graphical solution Method– General L.P.P. – Slack

and Surplus variables- Reformulations of general L.P.P – Matrix formulation of general L.P.P –

Characteristics of the Standard form of L.P.P-Some important Definitions - Characteristics of Solutions

of an L.P.P. (12 hours)

UNIT II

The Simplex Method - Solving L.P.P by Simplex method I – An Important Definition-Artificial

variables – Charnes Big- M Method- Two phase simplex method – Unrestricted Variables. (12 hours)

UNIT III

Duality in linear programming-the primeal – dual problems – fundamental theorem of duality – duality

and simplex method – solution of LPP by dual simplex method (12 hours)

UNIT IV

The Transportation problem – General form of T.P – Existence of Feasible solution by (i) North – west

corner Rule (ii) Vogel‟s approximation method – Moving towards optimality (MODI Method) –

Degeneracy in T.P - Unbalanced T.P (12 hours)

UNIT V

The Assignment problem – Mathematical formulation of Assignment problem – Assignment Algorithm

– Rule for finding the optimal Assignment – Unbalanced Assignment problem – Travelling Salesman

problem. (12 hours)

TEXT BOOK :

P.K.Gupta, S.Manmohan, Linear Programming and Theory of Games, Sultan Chand & sons,

Ninth Edition 2000

Unit – I Chapter 2 & 3

Unit – II Chapter 4

Chapter 5: Sections 5.1 - 5.4

Unit – III Chapter 6

Unit – IV Chapter 11: Sections 11.1 – 11.11

Unit – V Chapter 12

41

CORE ALLIED – STATISTICS - I


Code : 14MA3AC03 Hours: 5/Week

LEARNING OUTCOME

Acquiring knowledge on various techniques of probability and statistics & developing skill on

applying statistical methods to real problems.

UNIT I

Introduction to Central Tendencies -Arithmetic mean – Partition values (Median, Quartiles, Deciles and

percentiles) –Mode – Geometric mean and harmonic mean –Measures of dispersion. (15 hours)

UNIT II

Moments – Skewness and Kurtosis – Curve fitting – Principle of Least Squares – Fitting a straight line

– Fitting a second degree parabola. (15 hours)

UNIT III

Correlation – Rank Correlation - Regression - Correlation Coefficient for a bivariate frequency

distribution - Probability – Conditional probability (15 hours)

UNIT IV

Random variables – Discrete random variable – Continuous random variable – Mathematical

expectations – Moment Generating function – Characteristic function. (15 hours)

UNIT V

Some special distributions - Binomial distribution – Poisson distribution – Normal distribution – some

more continuous functions. (15 hours)

TEXT BOOK :

S. Arumugam and A. Thangapandi Issac , Statistics, New Gamma Publishing House, Palayamkottai 2002.

Unit – I Chapter 2 Sections : 2.0- 2.4

Chapter 3 Section : 3.1

Unit – II Chapter 4 Sections : 4.1- 4.2

Chapter 5 Section : 5.1

Unit – III Chapter 6 Sections : 6.1- 6.4

Chapter 11 Sections :11.1- 11.2

Unit – IV Chapter 12 Sections :12.1- 12.6

Unit – V Chapter 13 Sections :13.1 – 13.4

42

NON-MAJOR ELECTIVE - 1 - DISCRETE MATHEMATICS

Semester: III Credit : 2

Code : 14MA3NE01 Hours: 2/Week

LEARNING OUTCOME

Familiarizing the mathematical concepts of Logic, permutation, combination and probability to the

students of arts discipline.

UNIT I

Mathematical Logic- Logical statement or proposition- Types of propositions – the propositional

Calculus – Negation – Disjunction- Conjunction – Tautalogy. (6 hours)

UNIT II

Logical equivalence- The Algebra of propositions – Conditional propositions – The negation of a

conditional proposition. (6 hours)

UNIT III

Permutations – Factorial Notations – permutation of r things chosen out of n dissimilar things-

permutation with repetitions - Simple problems. (6 hours)

UNIT IV

Combinations - number of combinations of r objects taken out of n objects - Simple problems.

(6 hours)

UNIT V

Probability- Terminology- Usefulness- Random Experiment-Sample Space-Mutually exclusive events

– Independent events - probability measure-Simple problems. (6 hours)

TEXT BOOK

Study Material prepared by the Department staff.

43

SKILL - BASED ELECTIVE 1 - OFFICE AUTOMATION

Semester: III Credit : 2

Code : 14CA3SKB1 Hours : 2 /week

LEARNING OUTCOME

Enchancing with office automation tools and developing basic computer skill.

MS WORD

1. Formatting

2. Table creation

3. Mail Merge

4. Preparation of advertisement using drawing tool

MS EXCEL

5. Excel functions (statistical)

6. Data filtering and sorting.

7. Mark sheet , Pay bill preparation

8. Data Analysis using chart

9. Data base creation & mark sheet preparation.

10. Forms & report creation

MS POWERPOINT

11. Theme based presentation with animation effects.

MS OUTLOOK

12. Personalized e- mail & account creation, sending mails with attachments

Text Book

Dr. Sr. P. Helen Chandra, Fundamentals of computers and office Automation, First edition 2005,

ACCA , Periyakulam.

44

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2. FWe;njhif (4 ghly;fs;)

“ahUkpy;iy jhNd fs;td;..”

“mftd; kfNs…”

“Kspjaph; gpire;j…”

“Ntk;gpd; igq;fha;…”

3. fypj;njhif (1 ghly;)

“<jypy; Fiw fhl;lhJ..” – ghiyf;fyp Njhopf;$w;W

4. mfehD}W (1 ghly;fs;)

“te;J tpid Kbj;jdd;..”

5. GwehD}W (2 ghly;fs;)

“Nrw;Wtsh; jhkiu gae;j…”

“rpwg;G,y; rpjLk;…”

myF 2: gj;Jg;ghl;L

rpWghzhw;Wg;gil KOtJk;

myF 3: ePjp E}y;fs;

1. jpUf;Fws; : mwj;Jg;ghy; - xOf;fKilik – el;ghuha;jy;

2. gonkhop ehD}W: 1. mwQ;nra;gth;f;Fk;

2 Ky;iyf;Fj; NjUk;

myF 4: ,yf;fzk;;

ty;nyOj;J kpFk; ,lk;> kpfh ,lk;

,yf;fpa tuyhW

rq;f fhyk;> rq;fk; kUtpa fhyk; njhlh;ghd ,yf;fpa tuyhW.

myF 5: tzpfj; jkpo;; > mwptpay; jkpo;

fly; ehfhpfk; - fly; thzpgk; - gf;. 233-241

cly; mwptpay; gf.; 75-88

ghlE}y; : jkpo;j;Jiw ntspaPL> n[auh[; md;dghf;fpak; kfsph; fy;Y}hp. nghpaFsk.;;

45

ghh;it E}y;fs;;:

1. t.j. ,uhkRg;gpukzpak; (ciu) - ew;wpiz> jpUkfs; epiyak;> Kjw; gjpg;G - 2009.

2. Gyth; Jiu,uhrhuhk; (ciu) - FWe;njhif> jpUkfs; epiyak;> nrd;id. Kjw; gjpg;G

2008

3. Kidth;.m.tpRtehjd; (ciu) - fypj;njhif> ghitgphpz;lh;]>; nrd;id -2007.

4. t.j.,uhkRg;gpukzpak; (ciu) - mfehDhW> jpUkfs; epiyak>;nrd;id. Kjw; gjpg;G

2009.

5. t.j. ,uhkRg;gpukzpak; (ciu) - GwehDhW> jpUkfs; epiyak> nrd;id. Kjw; gjpg;G

2009.

6;. Kidth;.,uh.Nkhfd; (ciu) - gj;Jg;ghl;L> ghitgphpz;lh;];> nrd;id - 2007.

7. Kidth;.,uh.Nkhfd; (ciu) - gonkhopehDhW> ghitgphpz;lh;];. nrd;id - 2007.

8;. khj;jis NrhK - tpaf;fitf;Fk; jkpoh; mwptpay;> cjfk;> jpUr;rp.

Kjw; gjpg;G 2005.

9. kzit K];jgh - fhyk; NjLk; jkpo;> kPuh gjpg;gfk;> nrd;id. 40> 1993

46

ENGLISH

LANGUAGE THROUGH LITERATURE - IV

STREAM – A

Semester : IV Hours : 6

Code : 14GE4GSA4 Credits : 3

LEARNING OUTCOME:

Acquisition of effective communication skills.


1. C.Rajagopalachari - First Anniversary of Gandhiji‟s Death

2. J.C. Hill - Good Manners

3. James Thurber - University Days


1.Sarojini Naidu - Conquest

2.D.H. Lawrence - Money Madness

3.Robert Frost - Mending Wall

UNIT III DRAMA 1 hour

Select Scenes from “The Merchant of Venice” by William Shakespeare.

1. The Opening Scene

2. The Casket Scene

3. The Trial Scene

UNIT IV FICTION 1 hour

Thomas Hardy - Far From the Madding Crowd

UNIT V COMMUNICATION SKILLS 1 hour

Information Transfer and E Language Communication

COURSE TEXT:

“Variety of English for Effective Communication” – Book IV – Ed. Dr. A. Shanmugakani, Madurai:

Manimekala Publishing House,2012.

47

ENGLISH

LANGUAGE THROUGH LITERATURE – IV-14GE4GSA4

STREAM – A

QUESTION PATTERN

Time – 3 Hours Marks - 60

I. Choose the correct Answer (10X1=10)

(From Units I and II )

II. Fill in the blanks (5X1=5)

(From Unit I based on Grammar )

III. Match the Following (5X1=5)

(Vocabulary items from Unit I

IV. Answer any two of the following in a Paragraph of 100 words each.

(Two out of four from Units I, II, III & IV) (2X5=10)

V. Answer any two of the following in an essay of 300 words each

(Two out of four from Units I , II, III & IV) (2X10=20)

VI. Answer the following questions from unit V

a) Interpreting charts and making observations. (5X1=5 )

b) Reading passage and putting the information in graphic form (5X1=5)

48

ENGLISH

LANGUAGE THROUGH LITERATURE-IV

STREAM – B

Semester: IV Hours : 6

Code : 14GE4GSB4 Credits : 3

LEARNING OUTCOME :

Acquisition of effective communication skills.


1. R.K.Narayan - An Astrologer‟s Day

2. Stephen Leacock - My Financial Career

3. O. Henry - The Gift of the Magi


1. John Keats - La Belle Dame Sans Merci

2. A. K. Ramanujan - A River

3. Nissim Ezekiel - Night of the Scorpion

UNIT III ONE ACT PLAYS 1 hour

1. James R. Waugh - The Silver Idol

2. W. S. T. John Taylor - The Reunion

UNIT IV GRAMMAR 1 hour

Parts of Speech:

1. Noun

2. Adjective

3. Adverb

UNIT V COMMUNICATION SKILLS 1 hour

1. Preparing a curriculum Vitae

2. Report Writing

COURSE BOOK:

“ Variety of English for Effective Communication” – Book III. Ed. Dr. P.C. James Daniel. Bangalore:

Harrows Publications, 2010.

49

ENGLISH

LANGUAGE THROUGH LITERATURE IV-14GE4GSB4

STREAM – B

QUESTION PATTERN

Time – 3 Hours Marks - 60

I. Choose the correct answer

(From Units I and II) (10X1=10)

II. Fill in the blanks

(From Unit IV based on grammar) (5X1=5)

III. Match the Following

(Vocabulary items from Unit I) (5X1=5)

IV. Answer any two of the following in a paragraph of 100 words each.

(Two out of four from Units I and II, III) (2X5=10)

V. Answer any two of the following in an essay of 300 words each

(Two out of four from Units I, II, III) (2X10=20)

VI. a) Preparing Curriculum Vitae. (5X1=5)

b) Report Writing (5X1=5)

(From Unit V)

50

MECHANICS Semester: IV Credit : 6

Code : 14MA4MC07 Hours :7 /week

LEARNING OUTCOME

Enabling the students with logical thinking and to understand basic principles of mechanics and to

apply them to do problems.

STATICS:

UNIT I

Forces acting at a point – parallelogram law of forces-Triangle law of forces – Converse of the Triangle

law of forces- Polygon of forces – Lami‟s Theorem – Resolution of a force – Components of a force –

Theorem on Resolved parts- Parallel forces – resultant of two like parallel forces – Unlike parallel forces

– conditions of equilibrium – Moments – Varignon‟s theorem –Generalised theorem of moments.

(21 hours)

UNIT II

Couples – Equilibrium of two couples – Couples in Parallel Planes – Resultant of Coplanar Couples –

Resultant of a Couple and a force. Three forces acting on a rigid body – conditions of equilibrium –

Trigonometric theorems – Problems – Coplanar Forces – Reduction of any number of Coplanar forces

– Conditions of equilibrium. (21 hours)

UNIT III

Friction – Laws of friction – Angle of friction – coefficient of friction – Cone of Friction – Equilibrium

of a body on a rough inclined plane under a parallel force and any force – Simple problems –

Equilibrium of strings – Equation of common catenary – Tension at any point – Geometrical properties

of the common catenary. (21 hours)

DYNAMICS:

UNIT IV

Projectlies – Definition – path of a projectile – characteristics – maximum horizontal Range –

Velocity of the projectile at the end of time t – Range on an inclined plane – greatest distance –

Enveloping parabola. (21 hours)

UNIT V

Collision of Elastic bodies – Definition – Laws of Impact - Impact – direct and oblique impact –

Newton‟s Experimental laws – Impact of a Smooth Sphere on a smooth plane – Impact of two

Smooth Spheres – Loss in Kinetic energy – Oblique impact of two smooth spheres – Loss in Kinetic

energy. Motion Under the action of Central forces- Velocity & Acceleration in Polar coordinates –

equation of motion – Motion under a central force - Differential Equation of central orbit – pedal

equation – velocity in a central orbit. (21 hours)

51

TEXT BOOK

Book 1. Dr. M. K. Venkatraman, Statics, Agasthiar Publications 12th

edition, 2007.

Book 2. Dr. M. K. Venkatraman, Dynamics, Agasthiar Publications 13th

edition, 2009

STATICS

Unit – I

Chapter : II – Sections 1 - 13 (Book 1)

Chapter : III – Sections 1 - 13 (Book 1)

Unit – II

Chapter : IV – Sections 1 - 10 ( Book 1)

Chapter : V – Sections 1- 6 ( Upto Exercise in page no:108 ) (Book 1)

Chapter : VI – Sections 1 - 12 (Book 1)

Unit – III

Chapter : VII – Sections 1 - 12 (Book 1)

Chapter : XI – Sections 1 - 6 (Book 1)

DYNAMICS

Unit – IV

Chapter : VI – Sections 6.1 - 6.17 (Book 2)

Unit – V

Chapter: VIII – Sections 8.1 - 8.8 (Book 2)

Chapter: XI – Sections 11.1 - 11.10 (Book 2)

52

CORE ALLIED – STATISTICS - II

Semester: IV Credits : 4

Code : 14MA4AC04 Hours: 5/week

LEARNING OUTCOME

Developing skill on applying the various techniques of sampling theory.

UNIT I

Attributes –Consistency of data – Independence and Association of data – Index Numbers – Consumer

price index numbers – Conversion of Chain base index number into fixed base index and conversely

(15 hours)

UNIT II

Sampling – Sampling distribution – Testing of hypothesis – Procedure for testing of hypothesis for

large samples – Tests of significance for large samples (15 hours)

UNIT III

Test of significance based on t-distribution(t – test) - Test of significance based on F-test- Test for

significance of an observed sample correlation. (15 hours)

UNIT IV

Chi- squared test - Chi- squared test to test the goodness of fit – Test for independence of attributes

(15 hours)

UNIT V

Analysis of Variance -One criterion of classification – Two criteria of classification – Three criteria of

classification Latin Square. (15 hours)

TEXT BOOK :

S. Arumugam and A.Thangapandi Issac, Statistics, New Gamma Publishing House, 2002.

Unit – I

Chapter 8 Sections : 8.1 – 8.3

Chapter 9 Sections : 9.1 - 9.3

Unit – II


Unit – III

Chapter 15 Sections : 15.1 -15.3

Unit – IV

Chapter 16 Sections : 16.1 -16.3

Unit – V


53

CORE - ELECTIVE - FINANCIAL MATHEMATICS


Code : 14MA4CE1A Hours : 4 /week

LEARNING OUTCOME

Familiarizing the specialized use of Mathematics in finance and to use mathematical methods to solve

financial problems.

UNIT I

Simple annuities- Definition and notations – Accumulated value of an Ordinary Simple Annuity –

Discounted Value of an Ordinary Simple Annuity Other simple Annuities –Finding the term of an

Annuity- Finding the interest rate. (12 hours)

UNIT II

Bonds – Introduction to Terminology – Purchase price to yield a given investment rate – Callable

bonds – Premium and Discount – Price of a bond between Bond interest Dates – Finding the yield rate .

(12 hours)

UNIT III

Capital budgeting and depreciation – Net present Value – Internal rate of Return – Capitalized cost and

Capital Budgeting – Depreciation. (12 hours)

UNIT IV

Contingent payments-Introduction – probability – Mathematical Expectation – Contingent payments

with time value (12 hours)

UNIT V

Life annuities and Life insurance – Introduction- Mortality Tables-Pure endowments-Life annuities-

Life insurance - Annual Premium Policies. (12 hours)

TEXT BOOK :

Peter Zima & Robert L.Brown, Mathematics of Finance-second Edition – Tata Mcgraw- Hill edition

Unit – I

Chapter 5 Sections : 5.1 - 5.6

Unit – II

Chapter 8 Sections: 8.1 - 8.6

Unit – III

Chapter 9 Sections: 9.1 - 9.4

Unit – IV

Chapter 10 Sections:10.1 - 10.4

Unit – V

Chapter 11Sections: 11.1 -11.6

54

CORE - ELECTIVE - ASTRONOMY


Code : 14MA4CE1B Hours : 4 /week

LEARNING OUTCOME

Acquiring knowledge on Celestial Spheres, the earth and to know the motion of celestial bodies with

respect to the sun.

UNIT I

Celestial sphere – Astronomy – Celestial Sphere - Diurnal motion , Celestial axis and equator –

Celestial Horizon – Zenith and Nadir – Celestial meridian – Cardinal points – Northern and southern

hemispheres– Eastern and Western hemispheres - visible and invisible hemispheres –Declination

circles – Verticals -Parallactic angle – Transit or culmination – Due east and due west – due south and

dure north – Annual motion of the sun, Ecliptic , obliquity – First point of Aries and First point of

Libra – Equinoxes and solstices – Horizontal system – Equatorial system – Meridian system – Ecliptic

system –To represent the different systems of coordinates in the same figure –Conversion of

coordinates –To find the relation between Right Ascension and longitude of the sun – To trace the

changes in the coordinates of the sun in the course of a year – To find the longitude of the sun on any

day. (12 hours)

UNIT II

The Earth – The zones of the earth – To trace the variations in the durations of day and night - during

the year at different stations – To find the duration of perpetual day in a place of latitude - To find

analytically the conditions for perpetual day and night. (12 hours)

UNIT III

Terrestrial latitudes and longitudes – Phenomena depending on the change of latitudes and longitudes –

Date line – shape of Earth – Geographical and geocentric latitudes of a place – To find the reduction of

latitude – Ellipticity – To prove the reduction of latitude is sin 2c - To find the geocentric distance of

a station of geographical latitude - To find the radius of curvature of the earth at a station of

geographical latitude -Geographical and Nautical miles. (12 hours)

UNIT IV

Kepler‟s Laws - Kepler‟s laws of planetary motion – Longitude of Perigee – Forward motion of the

apse line – to calculate the eccentricity of the earth‟s orbit around the sun – Verification of Kepler‟s

laws (1) and (2) in the case of the earth - Explanation of the third law – Radial and transerve

accelerations of a particle describing a plane curve in polar co-ordinates – Newton‟s deductions from

Kepler‟s laws – To derive Kepler;s law from Newton‟s law of gravitation – to find the mass of a planet

– To fix the position of a planet in its elliptic orbit – To express v as a series of u – Mean Anomaly –

To prove m –u-e sinu – To express u as a seires in m – To express v in terms of m – To express m in

terms of v – to express the R.A of sun in terms of its longitude – Geocentric and heliocentric latitudes

and longitudes – To prove that heliocentric longitudes of the earth and geocentric longitude of the sun

differ by 180 (12 hours)

55

UNIT V

Two body Problem – Introduction – Newton‟s fundamental equation of motion – Motion of one

particle relative to another – The motion of the common centre of mass – Motion of two particle

relative to the common mass centre – Motion of a planet with respect to the sun. (12 hours)

TEXT BOOK :

Prof. S. Kumaravelu & Prof. Susheela Kumaravelu, Astronomy, Sree Vishnu Arts, Sivakasi, 9th

edition,

2002.

Unit – I

Chapter : II – Sections: 39 - 68

Unit – II

Chapter : III – Sections: 87 - 90

Unit – III

Chapter : III – Sections :91 - 101

Unit – IV

Chapter : VI – Sections :146 - 165

Unit – V

Chapter : XIX – Sections :355- 360

56

NON-MAJOR ELECTIVE 2 - FUNDAMENTALS OF MANAGEMENT TECHNIQUES

Semester : IV Credits : 2

Code : 14MA4NE02 Hours : 2/week

LEARNING OUTCOME

Getting knowledge about management techniques.

UNIT I

Game Theory - Introduction – Competitive games – some useful Terminology – Payoff matrix –

Maximini-minimax Principle – Saddle point and value of a game – Games without saddle point –

Dominance property. (6 hours)

UNIT II

Sequencing - Introduction – Total elapsed time – Idle time – Optimal Sequence for n jobs on 2

machines - n jobs on 3 machines – n jobs on m machines. (6 hours)

UNIT III

Network Models - Introduction – Undirected Graphs – Definitions – Sub Graph – isomorphism –

Walks, Paths and Circuits – Trees – Spanning Trees – Shortest spanning tree of a graph. (6 hours)

UNIT IV

Basic steps in PERT and CPM - Introduction – Basic terminologies – Network Logic – Fulkerson‟s

Rule – Construction of Networks for the given project. (6 hours)

UNIT V

Basic steps in PERT and CPM(Continued)- Critical Path – Floats – Simple problems only.

(6 hours)

TEXT BOOK :

Course material will be prepared by the Department staff.

57

SKILL-BASED ELECTIVE 2 - WEB DESIGNING


Code : 14CA4SKB2 Hours : 2/week

LEARNING OUTCOME:

Familiarizing the webpage tools and to develop the skill to craft their own webpage.

1. Simple web page for text formatting.

2. Working with colours.

3. Web page with hyperlinks

4. Web page with images.

5. Web page with ordered list.

6. Web page with unordered list.

7. Web page with table.

8. Web page with frames.

9. Application form – resume preparation using images. .

10. Web site creation (College, Department)

TEXT BOOK:

Sr. Shantha Mary Joshitta, Ms. R. Savithiri, Craft your Webpages, ACCA publications, First edition 2008.

58

MODERN ALGEBRA

Semester: V Credits : 5

Code : 14MA5MC08 Hours : 6/week

LEARNING OUTCOME

Acquiring knowledge on the basic concepts of groups, rings, fields & familiarizing with the concrete

examples.

UNIT I

Permutation groups - Sub groups –Cyclic groups - Order of an element (18 hours)

UNIT II

Cosets and Lagrange‟s theorem – Normal subgroups and Quotient group. (18 hours)

UNIT III

Group Isomorphism - Group Homomorphism (18 hours)

UNIT IV

Rings – Definition and examples – elementary properties of rings – Isomorphism –Types of rings –

Characteristic of a ring – Sub rings – Ideals – Quotient rings – Homomorphism of Rings - Field of

quotients of an integral domain. (18 hours)

UNIT V

Unique factorization domain – Euclidean domain – Every principal ideal domain is a unique

factorisation domain-polynomial rings –Polynomial Rings over U.F.D – Polynomials over Q.

(18 hours)

TEXT BOOK :

S. Arumugam & A. Thangapandi Issac, Modern Algebra, Scitech Publications(India Pvt. Ltd.), 2008

Unit – I

Chapter 3 :sections 3.4 - 3.7

Unit – II

Chapter 3 - Sections 3.8 & 3.9

Unit – III

Chapter: 3 - Sections 3.10 & 3.11

Unit – IV

Chapter 4 - Sections 4.1 - 4.8 , 4.10 & 4.11

Unit – V

Chapter 4 - Sections 4.13 - 4.18

59

REAL ANALYSIS


Code : 14MA5MC09 Hours : 6 /Week

LEARNING OUTCOME

Acquiring knowledge on the basic concepts of Analysis, fundamental ideas and theorems on metric

spaces.

UNIT I

Sets and functions – countable sets – uncountable sets – Inequalities of Holder and Minkowski.

(18 hours)

UNIT II

Metric spaces - Definition and examples – Bounded sets in a metric space – open ball in a metric

space – Open sets – Subspaces – Interior of a set – Closed sets – Closure–limit point – Dense sets.

(18 hours)

UNIT III

Complete metric spaces - Introduction – completeness – Baire‟s Category theorem –contraction

mapping – definition and examples – contraction mapping theorem. (18 hours)

UNIT IV

Introduction-Continuity – homeomorphism – uniform continuity – Connectedness Definition and

examples – connected subsets of R – connectedness and continuity. (18 hours)

UNIT V

Compactness – Introduction - Compact metric spaces –compact subsets of Requivalent characterization

for compactness – compactness and continuity. (18 hours)

TEXT BOOK :

S. Arumugam & A. Thangapandi Issac, Modern Analysis, New Gamma Publishing House, 2010

Unit – I

Chapter 1 :sections 1.1 – 1.4

Unit – II

Chapter 2: Sections 2.1-2.10

Unit – III

Chapter 3 :Sections 3.0 to 3.2 &

Chapter 8-Sections 8.0 to 8.1 (up to Theorem 8.2)

Unit – IV

Chapter 4 :Sections 4.0 – 4.3 &

Chapter 5: Sections 5.0 – 5.3

Unit – V

Chapter 6: Sections 6.0 -6.4

60

GRAPH THEORY


Code : 14MA5MC10 Hours: 6/Week

LEARNING OUTCOME

Enabling the students to acquire the general techniques of graph theory & familiarizing its application

to other branches.

UNIT I

Basics - Graphs – Pictorial representation – sub graphs - isomorphism and degrees - walk and

connected graphs – cycles in graphs – cut -vertices and cut – edges. (18 hours)

UNIT II

Eulerian, Hamiltonian and Bipartite graphs -Eulerian graphs – Fleury‟s algorithm - Hamiltonian

graphs – weighted graphs – Bipartite graphs – Marriage Problem – Trees. (18 hours)

UNIT III

Planar graphs and colourings - Planar graphs – Euler formula – Platonic solids – Dual of a plane

graph – characterization of planar graphs – vertex colouring – Edge colouring – An Algorithm for

vertex colouring. (18 hours)

UNIT IV

Directed Graphs -Directed graphs – connectivity in digraphs – strong orientation of graphs – Eulerian

digraphs – Tournament (18 hours)

UNIT V

Labellings - Predecessor and successor – Algorithm – Graceful graphs – Sequential functions.-

application- magic graphs. (18 hours)

TEXT BOOK :

Book 1 : S.A. Choudum, A First Course in Graph Theory, Macmillan India Ltd,1999.

Book 2 : Dr. M. Murugan , Graph Theory and Algorithm, Muthali Publishing House, Chennai, I edition.

Unit – I

Chapter 1 : Sections 1.1 -1.7 (Book 1)

Unit – II

Chapter 2 : Sections 2.1 -2.2 (omitting theorem 2.5) & 2.3(Book 1)

Chapter 3: Sections 3.1 – 3.3(Book 1)

Unit – III

Chapter 5: Sections 5.1 – 5.5 (Book 1)

Chapter 6: Sections 6.1 – 6.3(Book 1)

Unit – IV

Chapter 7 : Sections 7.1 – 7.5(Book 1)

Unit – V

Chapter 10 : Sections 10.1 – 10.6(Book 2)

61

PROGRAMMING IN C- THEORY


Code : 14MA5MC11 Hours : 4/week

LEARNING OUTCOME

Developing a thorough understanding of the standard language features and the standard Library

facilities.

UNIT I

Introduction to C – importance of C- sample C programs – Basic structure of C program.Constants,

variables and data types - C character set – C tokens - keywords and identifiers, constants, variables,

data types, declaration of variables, Assigning values to variables – defining symbolic constants.

Operators & expressions - Arithmetic operators-relational Operators - Logical Operators - assignment

Operators- increment and decrement operators - conditional operators – Bitwise operators – Special

operators – Arithmetic expression – Evaluation of expression – Precedence of arithmetic operators –

some computational problems – Type conversion in expression – Operator precedence and associativity

– Mathematical functions. (12 hours)

UNIT II

Managing Input and output operators – Introduction – Reading a character-Writing a character –

Formatted input -Formatted output. Decision making and Branching – Introduction - Decision making

with IF statement – The IF ELSE statement – Nesting of IF … Else statements – The Else IF ladder-

the switch statement – The ?: Operator – The GOTO statement. Decision making and Looping-

Introduction – The WHILE statement - The DO statement- The FOR statement – Jumps in loops.

(12 hours)

UNIT III

Arrays – Introduction – One dimensional arrays - Two dimensional arrays – Initializing two

dimensional arrays - multidimensional arrays-Dynamic array. Handling of Character Strings –

introduction – Declaring and Initializing string variables – Reading string from terminal – Writing

strings to screen – Arithmetic operations on Character – putting strings together – Comparison of two

strings – String handling functions – Table of strings. (12 hours)

UNIT IV

User defined Functions – Introduction – Need for user defined functions – a multi function program –

The form of C functions – Return values and their types – calling a function – Category of functions –

No argument and no return values - Arguments and but no return values - arguments with return values

– Handling of non integer functions – Nesting of functions - Recursion – Passing arrays to functions-

passing strings to functions – The scope and life time of variables in functions – Ansi C functions –

Points to remember. (12 hours)

UNIT V

Pointers- Introduction –Understanding of pointers –Accessing the address of a variable – declaring and

initializing pointers - Accessing a variable through its pointers – Accessing a variable through its

Pointer-pointer expressions - pointer increment and scalar factor - pointer and arrays – pointers and

character strings – array of pointers-Pointers as function arguments- function returning pointers –

pointers to functions. (12 hours)

62

TEXT BOOK :

Dr. E. Balagurusamy, Programming in ANSI C, Tata Mcgraw- Hill Publishing Company Limited, New

Delhi, Fourth edition, Third reprint 2008.

Unit – I

Chapter 1 Sections :1.1 - 1.8 and chapters 2 Sections :2.1 – 2.11 & Chapter 3

Unit – II

Chapters 4, 5, 6

Unit – III

Chapters 7,8

Unit – IV

Chapter 9

Unit – V

Chapter 11 Sections :11.1 - 11.15

63

PROGRAMMING IN C –LAB


Code : 14MA5CP01 Hours: 2/Week

LEARNING OUTCOME

Getting better insights and design quality programs to test the level of mastery of the language features.

1. Write a program to find the simple interest and compound interest.

2. Write a program to solve the quadratic equation using switch statement

3. Write a function subprogram to calculate the factorial of a number and find nCr and nPr.

4. Write a program to arrange the strings alphabetically.

5. Write a program to find the product of two matrices and find the determinant value of the resultant matrix.

6. Write a program to calculate the mean and variance.

7. Write a program to convert the given text of characters to upper case and count the number of vowels in the

given sentence.

8. Write a program to calculate the correlation coefficient for the given data.

9. Write a program to fit a straight line y = ax + b for the given data.

10. Write a program to read a positive integer and determine whether

(a) the integer is prime (b) the integer is Fibonacci number

11. Write a program to calculate the root of a function using bisection method and Newton - Raphson Method.

12. Write a program to calculate the value of the given integral using Trapezoidal Rule and Simpson‟s 1/3 rule

64

CORE ELECTIVE – NUMERICAL METHODS

Semester: V Credits: 3

Code : 14MA5CE2A Hours: 4/Week

LEARNING OUTCOME

Acquiring knowledge on basic principles of numerical methods and to apply them in solving algebraic

equations.

UNIT I

Algebraic and Transcendental Equations - Introduction – Errors in numerical computation –

Iteration method – Bisection method – Regula Falsi method – Newton – Raphson method. (12 hours)

UNIT II

Simultaneous Equations- Introduction - Simultaneous Equations – Back substitution – Gauss

Elimination method – Gauss Jordan Elimination method. Interpolation - Newton‟s Interpolation

Formulae –Central Difference Interpolation formula- Lagrange‟s Interpolation formula -Divided

differences- Newton‟s Divided Difference Formula – Inverse Interpolation. (12 hours)

UNIT III

Numerical differentiation and Integration. - Introduction – Derivatives using Newton‟s Forward

Difference Formula – Derivatives using Newton‟s Backward Difference formula – Derivatives using

central difference formula (12 hours)

UNIT IV

Numerical Integration – Newton – cote‟s Quadrature formula – Trapezoidal rule – Simpson‟s one-

third rule – Simpson‟s three eighth rule- Weddle‟s rule – Romberg‟s method. (12 hours)

UNIT V

Numerical Solution of ordinary Differential Equations. Introduction – Taylor‟s series method –

Picard‟s method – Euler‟s method – Runge – kutta methods. (12 hours)

TEXT BOOK :

S. Arumugam and A. Thangapandi Isaac & A. Soma Sundaram , Numerical Methods, SciTech

Publications (India) Pvt. Ltd., Second Edition,2010.

Unit – I

Chapter 3 - Sections : 3.1 -3.5

Unit – II

Chapter 4 - Sections :4.1 - 4.4 &

Chapter 7 –Sections: 7.1 - 7.6

Unit – III

Chapter 8 - Sections : 8.1 - 8.3

Unit – IV

Chapter 8 – Section: 8.5

Unit – V

Chapter10 – Sections: 10.1 - 10.4

65

CORE ELECTIVE –FUZZY SETS AND FUZZY NUMBERS


Code : 14MA5CE2B Hours: 4/Week

LEARNING OUTCOME

Acquiring knowledge on the main components of fuzzy set theory and fuzzy numbers.

UNIT I

From classical (crisp) sets to Fuzzy sets – Introduction – Crisp sets. An overview – Fuzzy sets: Basic

types. (12 hours)

UNIT II

Fuzzy sets : Basic concepts - Fuzzy sets verses crisp sets – Additional properties of - cuts –

Representations of fuzzy sets. (12 hours)

UNIT III

Extension Principle for fuzzy sets - Operations on fuzzy sets – Types of operations – Fuzzy

complements. (12 hours)

UNIT IV

Fuzzy intersections: t – Norms - Fuzzy unions : t – Conorms – Definitions and results. (12 hours)

UNIT V

Combinations of operations – Aggregation operations- Definitions and results. (12 hours)

TEXT BOOK :

George J. Klir / Bo Yuan, Fuzzy sets and Fuzzy Logic, Theory and Applications,Prentice Hall of

India Private Limited, New Delhi.

Unit – I

Chapter 1 Sections: 1.1 – 1.3

Unit – II

Chapter 1 Section : 1.4 & Chapter 2 Sections: 2.1 – 2.2

Unit – III

Chapter 2 Section: 2.3 & Chapter 3 Section: 3.1 – 3.2

Unit – IV

Chapter 3 Sections: 3.3 -3.4

Unit – V

Chapter 3 Sections: 3.5 -3.6

66

SKILL BASED ELECTIVE - 3 - VOCATIONAL MATHEMATICS


Code : 14MA5SK03 Hours: 2/Week

LEARNING OUTCOME

Developing numerical ability, coding and decoding ability and to prepare the students for any

quantitative aptitude test.

UNIT I

Classification - Choosing the odd numeral – choosing the odd letter group. (6 hours)

UNIT II

Coding - Letter Coding – Number / symbol coding - substitution (6 hours)

UNIT III

Verbal reasoning - Series completion.-alphabet series – analogy-completing the analogous pair –

number analogy (6 hours)

UNIT IV

Non-Verbal reasoning - Series (classification) choosing the odd figure – choosing a similar figure –

finding figures with same characteristics. (6 hours)

UNIT V

Arithmetical Reasoning - Calculation based problems – Venn diagram based problems. (6 hours)

TEXT BOOK :

Course material will be prepared by the Department staff

.

67

LINEAR ALGEBRA

Semester : VI Credits : 5


LEARNING OUTCOME

Acquiring the knowledge in linear algebra & the abstract concepts of higher Mathematics.

UNIT I

Vector spaces – Introduction – Definition and examples – Subspaces – Linear transformations – Span

of a set (18 hours)

UNIT II

Linear independence – Basis and dimension – Rank and nullity – matrix of a linear transformation.

(18 hours)

UNIT III

Inner product spaces – Introduction – Definition and examples – Orthogonality – Orthogonal

complement. (18 hours)

UNIT IV

Theory of matrices – introduction – Algebra of matrices – Types of matrices - The inverse of matrix –

Elementary transformations - Rank of a matrix - Simultaneous linear equations. (18 hours)

UNIT V

The characteristic equations and Cayley Hamilton theorem– Eigen value & Eigen Vectors – Properties

of Eigen vectors . Bilinear forms – Quadratic forms. (18 hours)

TEXT BOOK :

S. Arumugam and A. Thangapandi Isaac, Modern Algebra, Scitech publications ( India) Pvt Ltd,

2008.

Unit – I

Chapter 5 - Sections : 5.0 - 5.4

Unit – II

Chapter 5 – Sections: 5.5 to 5.8

Unit – III

Chapter 6 – Sections 6.0 - 6.3

Unit – IV

Chapter 7 – Sections :7.0 - 7.6

Unit – V

Chapter 7 – Sections :7.7 - 7.8 &

Chapter 8- Sections :8.0 - 8.2

68

COMPLEX ANALYSIS

Semester: VI Credits : 5

Code : 14MA6MC13 Hours 6/Week

LEARNING OUTCOME

Acquiring the knowledge on Complex Analysis of one variable and various concepts of complex

Analysis

UNIT I

Circles and straight lines - Bilinear transformation - Invariant points – Cross ratio - Transformation

w z - Transformation w z - Transformation 1

wz

- special bilinear transformations :

The bilinear transformation which transforms - the real axis into itself – the unit circle 1z in the z-

plane to the unit circle 1w in the w-plane – the upper half plane into the unit circle 1w - The

bilinear transformation with – two finite invariant points - One finite and an infinite invariant point

– Infinity as the only invariant point. (18 hours)

UNIT II

Analytic functions – Cauchy-Riemann equations – Sufficient conditions – Harmonic functions –

Cauchy- Riemann equations in polar co-ordinates – Milne Thomson‟s method. (18 hours)

UNIT III

Complex integration – Cauchy‟s integral theorem – Cauchy‟s integral formula – Derivatives of

analytic functions – Morera‟s theorem – Cauchy‟s inequality – Liouville‟s theorem – Fundamental

theorem of algebra. (18 hours)

UNIT IV

Expansion of functions in power series– Taylor‟s theorem – Taylor‟s series and Laurent‟s series -

singular points - essential singularity - study of the function for the infinite value of Z- Argument

Principle – Rouche‟s theorem - Fundamental theorem of algebra . (18 hours)

UNIT V

Residues – Evaluation of residue at a pole – Residue theorem- evaluation of definite integrals –

Integration of the Integral

2

0

(cos ,sin )F d

- Integrals between the limits - to - Extension

of the theorem - Jordan‟s lemma. (18 hours)

69

TEXT BOOK :

Book 1. S. Arumugam, A. Thangapandi Issac & Somasundaram, Complex Analysis, New Gamma

Publishing House, 1993.

Book 2. S. Narayanan & T.K. Manicavasagam Pillay, Complex Analysis, S.Viswanathan printers

& Publishers Pvt. Ltd, 1997

Unit – I

Chapter 1- Section 1.7 (Book 1)

Chapter 2 – Sections 2.1 – 2.7 (Book 2)

Unit – II

Chapter 1 – Sections 5 & 11 (Book 2)

Unit – III

Chapter 3–Sections1 -11(omitting section 12 -Maximum modulus theorem) (Book 2)

Unit – IV

Chapter 4 – Sections 1- 5 (upto 5.4) (Book 2)

Unit – V

Chapter 5 – Sections 1 – 7 (Book 2)

70

OPERATIONS RESEARCH

Semester : VI Credits : 5


LEARNING OUTCOME

Familiarising various optimization techniques & developing skill to convert real problems into

mathematical models.

UNIT I

Theory of games: Introduction – Two Person Zero-Sum games – The Maximin Minimax Principle –

Games without saddle points – Mixed strategies – Graphical solution of 2 x N and M x 2 games –

Dominance Property – Reducing the game problem to a L.P.P.- Minimax and saddle point theorems

(without proof). (18 hours)

UNIT II

Queuing Theory – Introduction - Queuing system- Characteristics of Queuing system – symbols and

notations – Poisson process and exponential distribution – Classification of queues –definition of

transient and steady states – Poisson Queues - (M/M/1) model (∞/FIFO), (∞/SIRO),(N/FIFO).

(18 hours)

UNIT III

Sequencing-Introduction - Sequencing Problem – Problems with n-jobs and two machines –Optimal

sequence algorithm – Problems with n-jobs and three-machines – Problems with n-jobs and m –

machines – Graphic solution.

Replacement Problem: Introduction -Replacement of items that Deteriorate with time - Replacement

of items that fail completely. (18 hours)

UNIT IV

Inventory Management – Introduction- Inventory control –Techniques of inventory control with

selective control – Techniques of inventory control with known demand- Economic Lot Size problems

– Problem of EOQ with shortage – Multi-item deterministic problem – Techniques of Inventory

Control with uncertain demand. (18 hours)

UNIT V

Network Scheduling by PERT/CPM- Introduction – Basic Concepts – Constraints in network –

Construction of the network – Time calculations in network – Critical Path method – PERT - PERT

Calculations – Resource levelling by Network Technique. (18 hours)

71

TEXT BOOK :

Kanti Swarup, P.K. Gupta, ManMohan, Operations Research, Second Greatly Improved Enlarged

Edition(1984), Sultan Chand & Sons Publishers.

Unit – I

Chapter8 - Sections 8.1 - 8.8

Unit – II

Chapter 15- Sections 15.1 - 15.8.1.3

Unit – III

Chapter 16 - Sections 16.1 - 16.6 &

Chapter 18 - Sections 18.1 -18.3.

Unit – IV


Unit – V


72

PROGRAMMING IN C++ - THEORY



LEARNING OUTCOME

Acquiring significant software Engineering benefits over C and to present the concept of object

oriented analysis and design of systems.

UNIT I

Software crisis – Software evolution- Basic concepts of object oriented programming – Beneifit of Oop

– object oriented Languages – Application of Oop – application of c++ - More C++ statements –

Structure of C++ programme- Creating source file – Compiling and linking – Tokens – Keyword and

identifiers – Basic data type – User defined data type – Derived data type – symbolic constants- type

compatibility – Declaration of variables – Operators of C++ - Manipulators – Type cost operator –

Expression and Implicit conversions – operator overloading – control structures. (12 hours)

UNIT II

The main functions – Function prototyping – inline functions – Function overloading – Friend and

virtual functions. Specifying a class – Defining member functions – Making a outside function inline –

Nesting of member function – Static member function - Private member function – array with in a

class- Memory allocation for objects – Static data members – Array of objects – objects as a function

argument –Friendly Functions – Returning object constant member functions.- Pointer to members.

(12 hours)

UNIT III

Constructors & Destructors – Parameterized constructors – multiple constructors in a class –

Constructors with default arguments – dynamic initialization of objects –Copy constructors –

constructing two dimensional arrays – destructors. Operator overloading – Defining operator

overloading – overloading unary operator – Binary operators – overloading binary operators using

friends – manipulation of strings using operators – Rules for overloading operators – Type Conversion.

(12 hours)

UNIT IV

Inheritance – Defining derived classes – simple inheritance –Making a private member inheritable –

multilevel inheritance – hybrid inheritance – virtual base classes – Abstract classes – constructor in

derived class pointers – Virtual functions and polymorphism. Pointers to objects – the pointer –

Pointers to derived classes – Virtual functions-Pure Virtual Functions. (12 hours)

UNIT V

Managing Console I/O operators – Stream – C++ stream classes – unformatted I/O Operations –

Managing output with manipulators. Working with files – Classes of file stream operations –

Opening and closing a file. (12 hours)

73

TEXT BOOK :

Dr. E. Balagurusamy, Object Oriented Programming with C++, Tata MaGraw Hill Publishing

company limited.

Unit - I

Chapters 1,2,3

Unit - II

Chapters 4,5

Unit – III

Chapters 6,7

Unit – IV

Chapters 8,9

Unit - V

Chapter 10 & Chapter 11 Sections:11.1-11.3

74

PROGRAMMING IN C++- LAB

Semester: VI Credit : 1

Code : 14MA6CP02 Hours : 2/Week

LEARNING OUTCOME

Developing skill in creating new programmes in C++

1. Write a program to print the following using for loop

1

2 2

3 3 3

4 4 4 4 so on

2. Write a program to find the simple interest using default arguments.

3. Write a program to find the volume of a cube, cylinder, and cuboids using function overloading.

4. Write a program to multiply complex numbers using operator overloading.

5. Write a program to multiply a vector by a scalar using operator overloading.

6. Write a program using class to maintain a bank account.

7. Write a program to maintain library details using constructor and destructors.

8. Write a program for shopping list using classes.

9. Write a program to concatenate two strings using new operators.

10. Write a program to overload unary minus operator.

11. Write a program to maintain employee details using single inheritance.

12. Write a program to find the result of students using the class student and test through multileve

inheritance

13 Write a program to create a file to prepare mark statement.

75

CORE ELECTIVE - AUTOMATA THEORY & FORMAL LANGUAGES


Code : 14MA6CE3A Hours 4/Week

LEARNING OUTCOME

Acquiring the knowledge of Formal Languages, Grammar and various automata accepting then and

their transformations.

UNIT I

Introduction to three basic concepts- Languages, Grammars and Automata.- finite Automata -

Deterministic finite accepters and Non-deterministic finite accepters. (12 hours)

UNIT II

Regular Languages Regular grammars - Regular expressions- Connection between Regular

expressions and Regular languages, Regular grammars. (12 hours)

UNIT III

Properties of Regular Languages- closure properties of Regular Languages, elementary questions

about regular languages, Identifying non regular languages. -A Pumping lemma. (12 hours)

UNIT IV

Context-free Languages - Context-free Grammars.- simplification of context free Grammars. Normal

form - Methods for transforming Grammars – Two important normal forms- Chomsky Normal form –

Greibach Normal form . (12 hours)

UNIT V

Pushdown Automata -Non-deterministic Pushdown Automata – The Languagre accepted by

pushdown Automata and Context-free Languages - Context-free Grammars for pushdown Automota

(12 hours)

TEXT BOOK :

Peter Linz, An introduction to Formal Languages and Automata, Narosa Publication, Third Edition,2008.

Unit – I

Chapter 1- Section 1.2 &

Chapter 2 - Sections 2.1-2.2.

Unit – II

Chapter 3- Sections 3.1- 3.3.

Unit – III

Chapter 4 - Sections 4.1-4.3

Unit – IV

Chapter 5 - Section 5.1

Chapter 6- Sections 6.1-6.2.

Unit – V

Chapter 7- Sections 7.1- 7.2.

76

CORE ELECTIVE –BOOLEAN ALGEBRA

Semester: VI Credits: 3

Code : 11MA6CE3B Hours : 4/Week

LEARNING OUTCOME

Enabling students to know more about Lattices and Boolean algebra and their usefulness in other areas

of mathematics.

UNIT I

Posets- Definition and Examples - Diagrammatical representation of a poset – Isomorphisms - Duality-

Product of two posets – Lattices: Definition and Examples. (12 hours)

UNIT II

Theorems on Lattices – Lattice as an Algebra - Semi lattices- Complete lattices - Sub lattices- Modular

Lattice: definition and Examples. (12 hours)

UNIT III

Theorems on Modular Lattices - Ideal lattice - Isomorphism theorem- Necessary and sufficient

condition on Modular Lattices - Distributive lattices. (12 hours)

UNIT IV

Boolean Algebra: Definitions and Examples - Representation of a finite Boolean algebra - Ideals in a

Boolean algebra. (12 hours)

UNIT V

Boolean rings - Boolean functions: Definitions and Examples- Disjunctive normal form - Conjunctive

normal form. (12 hours)

TEXT BOOK :

Vijay K.Khanna, Lattices and Boolean Algebras, Vikas Publishing House Pvt Ltd,1997

Unit – I

Chapter 2 (pages 11- 23)

Unit – II

Chapter 2 (pages 23 - 36) & Chapter 4 (pages 68 - 70)

Unit – III

Chapter 4 (pages 71 -92)

Unit – IV

Chapter 5 (pages 93 - 104)

Unit – V

Chapter 5 (pages 104 - 121)

77

SKILL BASED ELECTIVE -4 –MATLAB


Code : 14MA6SK04 Hours: 2/Week

LEARNING OUTCOME

Familiarising the MATLAB tools and its applications to various mathematical problems.

1. Write a MATLAB program for evaluating the arithmetic operators addition, subtraction, multiplication,

right division, left division, unary minus, unary plus, exponentiation

2. Write a MATLAB statement to calculate the sum of the series

3. Write a MATLAB program to use various arithmetic operations on matrices such as addition,

subtraction, multiplication, right division, left division, exponentiation.

4. Write a MATLAB program for some useful commands related to matrices such as determinant, rank,

eigen vectors, orthogonal.

5. Write a MATLAB program for characteristic polynomial of a matrix, polynomial differentiation,

polynomial integration.

6. Write a MATLAB program for polynomial addition, subtraction, multiplication, division, root of a

polynomial.

7. Write a MATLAB program for solving a set of linear algebraic equations

8. Write a MATLAB program to find the mean, median, standard deviation, cumulative sum, cumulative

product of a given statistical data

9. Write a MATLAB program to plot a bar graph , horizontal bar graph for a given data

10. Write a MATLAB program to obtain the differentiation of a given expression and evaluating the

definite integral.

TEXT BOOK :

1. Rajkumar Bansal, Ashok Kumar Goel, Manoj Kumar Sharma, MATLAB and its applications

in Engineering.

2. Rudra Pratap, Getting started with MATLAB – A quick introduction for scientists and

Engineers.

BOOK-1

Sections 2.5.1, 2.9, 3.9, 3.10.1, 4.4, 4.5, 4.6, 4.7, 4.9, 4.10, 4.11, 6.7.4, 6.7.5, 9.3.2.1,9.3.2.3

BOOK -2

Sections 5.1.1, 5.3

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DEPARTMENT OF MATHEMATICS UG MATHEMATICS COURSE PATTERN ... · DEPARTMENT OF MATHEMATICS UG MATHEMATICS COURSE PATTERN ... UNIT I PROSE 2hours 1. Stephen Leacock - With the Photographer