Asst Prof Govt Eng College Syllabus

8/22/2019 Asst Prof Govt Eng College Syllabus

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SYLLABUS FOR COMPETITIVE EXAMINATION FORRECRUITMENT OF

ASSISTANT PROFESSORS IN GOVERNMENT ENGINEERINGCOLLEGES

2011

T E A C H E R S R E C R U I T M E N T B O A R D , C H E N N A I 6 0 0 Page 1

CIVIL ENGINEERING

Unit 1: Engineering Mathematics

Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values andeigenvectors.

Calculus: Functions of single variable, Limit, continuity and differentiability, Meanvalue theorems, Evaluation of definite and improper integrals, Partial derivatives,Total derivative, Maxima and minima, Gradient, Divergence and Curl, VectorIdentities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gaussand Greens theorems.

Differential equations: First order equations ( linear and nonlinear), Higher orderlinear differential equations with constant coefficients, Cauchys and Eulersequations, Initial and boundary value problems, Laplace transforms, Solutions of onedimensional heat and wave equations and Laplace equation.

Complex variables: Analytic functions, Cauchys Integral theorem, Taylor andLaurent series.

Probability and Statistics: Definitions of probability and sampling theorems,Conditional probability, Mean, median, mode and standard deviation, Randomvariables, Poisson, Normal and Binomial distributions.

Numerical Methods: Numerical solutions of linear and non-linear algebraic equationsIntegration by trapezoidal and Simpson s rule, single and multi-step methods fordifferential equations.

Unit 2: Mechanics

Bending moment and shear force in statically determinate beams. Simple stress andstrain relationship; Stress and strain in two dimensions, principal stresses, stresstransformation, Mohrs circle. Simple bending theory, flexural and shear stresses,unsymmetrical bending, shear centre. Thin walled pressure vessels, uniform torsion,buckling of column, combined and direct bending stresses.

Unit 3: Structural Analysis

Analysis of statically determinate trusses, arches, beams, cables and frames,

displacements in statically determinate structures and analysis of staticallyindeterminate structures by force/energy methods, analysis by displacementmethods (slope deflection and moment distribution methods), influence lines for

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determinate and indeterminate structures. Basic concepts of matrix methods ofstructural analysis.

Unit 4: Concrete Structures

Concrete Technology- properties of concrete, basics of mix design. Concretedesign-basic working stress and limit state design concepts, analysis of ultimate load

capacity and design of members subjected to flexure, shear, compression andtorsion by limit state methods. Basic elements of prestressed concrete, analysis ofbeam sections at transfer and service loads.

Unit 5: Steel Structures

Analysis and design of tension and compression members, beams and beam-columns, column bases. Connections-simple and eccentric, beam-column

connections, plate girders and trusses. Plastic analysis of beams and frames.

Unit 6: Soil Mechanics

Origin of soils, soil classification, three-phase system, fundamental definitions,relationship and interrelationships, permeability and seepage, effective stressprinciple, consolidation, compaction, shear strength.

Unit 7: Foundation Engineering

Sub-surface investigations- scope, drilling bore holes, sampling, penetration tests,plate load test. Earth pressure theories, effect of water table, layered soils. Stabilityof slopes-infinite slopes, finite slopes. Foundation types-foundation designrequirements. Shallow foundations-bearing capacity, effect of shape, water table andother factors, stress distribution, settlement analysis in sands and clays. Deepfoundations-pile types, dynamic and static formulae, load capacity of piles in sandsand clays, negative skin friction.

Unit 8: Fluid Mechanics and Hydraulics:

Properties of fluids, principle of conservation of mass, momentum, energy and

corresponding equations, potential flow, applications of momentum and Bernoulli sequation, laminar and turbulent flow, flow in pipes, pipe networks. Concept ofboundary layer and its growth. Uniform flow, critical flow and gradually varied flow inchannels, specific energy concept, hydraulic jump. Forces on immersed bodies, flowmeasurements in channels, tanks and pipes. Dimensional analysis and hydraulicmodeling. Kinematics of flow, velocity triangles and specific speed of pumps andturbines.



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Hydrology: Hydrologic cycle, rainfall, evaporation, infiltration, stage dischargerelationships, unit hydrographs, flood estimation, reservoir capacity, reservoir andchannel routing. Well hydraulics.

Irrigation: Duty, delta, estimation of evapo-transpiration. Crop water requirements.Design of: lined and unlined canals, waterways, head works, gravity dams andspillways. Design of weirs on permeable foundation. Types of irrigation system,irrigation methods. Water logging and drainage, sodic soils.

Unit 9: Water requirements

Quality standards, basic unit processes and operations for water treatment. Drinkingwater standards, water requirements, basic unit operations and unit processes forsurface water treatment, distribution of water. Sewage and sewerage treatment,

quantity and characteristics of wastewater. Primary, secondary and tertiary treatmentof wastewater, sludge disposal, effluent discharge standards. Domestic wastewater

treatment, quantity of characteristics of domestic wastewater, primary and secondarytreatment Unit operations and unit processes of domestic wastewater, sludgedisposal.

Air Pollution: Types of pollutants, their sources and impacts, air pollutionmeteorology, air pollution control, air quality standards and limits.

Municipal Solid Wastes: Characteristics, generation, collection and transportation ofsolid wastes, engineered systems for solid waste management (reuse/recycle,energy recovery, treatment and disposal).

Noise Pollution: Impacts of noise, permissible limits of noise pollution, measurementof noise and control of noise pollution.

Unit 10: Highway Planning

Geometric design of highways, testing and specifications of paving materials, designof flexible and rigid pavements.

Traffic Engineering: Traffic characteristics, theory of traffic flow, intersection design,traffic signs and signal design, highway capacity.

Importance of surveying, principles and classifications, mapping concepts,coordinate system, map projections, measurements of distance and directions,leveling, theodolite traversing, plane table surveying, errors and adjustments, curves.



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MECHANICAL ENGINEERING


Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values andeigenvectors.

Calculus: Functions of single variable, Limit, continuity and differentiability, Meanvalue theorems, Evaluation of definite and improper integrals, Partial derivatives,

Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vectoridentities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gaussand Greens theorems.

Differential equations: First order equations ( linear and nonlinear), Higher orderlinear differential equations with constant coefficients, Cauchys and Eulersequations, Initial and boundary value problems, Laplace transforms, Solutions of onedimensional heat and wave equations and Laplace equation.

Complex variables: Analytic functions, Cauchys integral theorem, Taylor andLaurent series.

Probability and Statistics: Definitions of probability and sampling theorems,Conditional probability, Mean, median, mode and standard deviation, Randomvariables, Poisson, Normal and Binomial distributions.

Numerical Methods: Numerical solutions of linear and non-linear algebraic equationsIntegration by trapezoidal and Simpson s rule, single and multi-step methods fordifferential equations.

Unit 2: Applied Mechanics and Design

Engineering Mechanics: Free body diagrams and equilibrium; trusses and frames;virtual work; kinematics and dynamics of particles and of rigid bodies in plane

motion, including impulse and momentum (linear and angular) and energyformulations; impact.

Strength of Materials: Stress and strain, stress-strain relationship and elasticconstants, Mohr s circle for plane stress and plane strain, thin cylinders; shear forceand bending moment diagrams; bending and shear stresses; deflection of beams;



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torsion of circular shafts; Eulers theory of columns; strain energy methods; thermalstresses.

Unit 3: Theory of Machines and Vibrations

Displacement, velocity and acceleration analysis of plane mechanisms; dynamicanalysis of slider-crank mechanism; gear trains; flywheels.

Vibrations: Free and forced vibration of single degree of freedom systems; effect ofdamping; vibration isolation; resonance, critical speeds of shafts.

Design: Design for static and dynamic loading; failure theories; fatigue strength andthe S-N diagram; principles of the design of machine elements such as bolted,riveted and welded joints, shafts, spur gears, rolling and sliding contact bearings,

brakes and clutches.

Unit 4: Fluid Mechanics

Fluid Mechanics: Fluid properties; fluid statics, manometry, buoyancy; control-volume analysis of mass, momentum and energy; fluid acceleration; differentialequations of continuity and momentum; Bernoulli s equation; viscous flow ofincompressible fluids; boundary layer; elementary turbulent flow; flow through pipes,head losses in pipes, bends etc.

Unit 5: Heat-Transfer

Modes of heat transfer; one dimensional heat conduction, resistance concept,electrical analogy, unsteady heat conduction, fins; dimensionless parameters in freeand forced convective heat transfer, various correlations for heat transfer in flow overflat plates and through pipes; thermal boundary layer; effect of turbulence; radiativeheat transfer, black and grey surfaces, shape factors, network analysis; heatexchanger performance, LMTD and NTU methods.

Unit 6: Thermodynamics and Applications

Zeroth, First and Second laws of thermodynamics; thermodynamic system andprocesses; Carnot cycle, irreversibility and availability; behaviour of ideal and real

gases, properties of pure substances, calculation of work and heat in idealprocesses; analysis of thermodynamic cycles related to energy conversion.

Power Engineering: Steam Tables, Rankine, Brayton cycles with regeneration andreheat. I.C. Engines: air-standard Otto, Diesel cycles. Refrigeration and air-conditioning: Vapour refrigeration cycle, heat pumps, gas refrigeration, ReverseBrayton cycle; moist air; psychrometric chart, basic psychrometric processes.



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Turbomachinery: Pelton-wheel, Francis and Kaplan turbines impulse and reactionprinciples, velocity diagrams.

Unit 7: Manufacturing Engineering

Engineering Materials: Structure and properties of engineering materials, heattreatment, stress-strain diagrams for engineering materials.

Metal Casting: Design of patterns, moulds and cores; solidification and cooling; riserand gating design, design considerations.

Forming: Plastic deformation and yield criteria; fundamentals of hot and cold workingprocesses; load estimation for bulk (forging, rolling, extrusion, drawing) and sheet(shearing, deep drawing, bending) metal forming processes; principles of powder

metallurgy.

J oining: Physics of welding, brazing and soldering; adhesive bonding; designconsiderations in welding.

Unit 8: Machining and Machine Tool Operations

Mechanics of machining, single and multi-point cutting tools, tool geometry andmaterials, tool life and wear; economics of machining; principles of non-traditionalmachining processes; principles of work holding, principles of design of jigs andfixtures

Metrology and Inspection: Limits, fits and tolerances; linear and angularmeasurements; comparators; gauge design; interferometry; form and finishmeasurement; alignment and testing methods; tolerance analysis in manufacturingand assembly.

Computer Integrated Manufacturing: Basic concepts of CAD/CAM and theirintegration tools.

Unit 9: Production Planning and Control

Forecasting models, aggregate production planning, scheduling, materials

requirement planning.

Inventory Control: Deterministic and probabilistic models; safety stock inventorycontrol systems.

Unit 10: Operations Research:



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Linear programming, simplex and duplex method, transportation, assignment,network flow models, simple queuing models, PERT and CPM.

ELECTRICAL AND ELECTRONICS ENGINEERING


Linear Algebra: Matrix Algebra, Systems of Linear equations, Eigen Values andeigen vectors.

Calculus: Mean Value Theorems, Theorems of integral Calculus Evaluation ofdefinite and improper integrals, Partial Derivatives, Maxima and minima, Multiple

integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface andVolume integrals, Stokes, Gauss and Greens theorems.

Differential equations: First order equation (linear and nonlinear), Higher order lineardifferential equations with constant coefficients, Method of variation of parameters,Cauchys and Euler s equations, initial and boundary value problems, PartialDifferential Equations and variable separable method.

Complex variables: Analytic functions, Cauchys integral theorem and integralformula, Taylor s and Laurent series, Residue theorem, solution integrals.

Probability and Statistics: Sampling theorems, Conditional probability, Mean,median, mode and standard deviation, Random variables, Discrete and continuousdistributions, Poisson, Normal and Binomial distribution, Correlation and regressionanalysis.

Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods for differential equations.

Transform Theory: Fourier transform, Laplace transform, Z-transform.

Unit 2: Electric Circuits and Fields



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Network graph, KCL, KVL, node and mesh analysis, transient response of dc and acnetworks; sinusoidal steady-state analysis, resonance, basic filter concepts; idealcurrent and voltage sources, Thevenins, Nortons and Superposition and Maximum

Power Transfer theorems, two-port networks, three phase circuits.

Gauss Theorem, electric field and potential due to point, line, plane and sphericalcharge distributions; Ampere s and Biot-Savarts laws; inductance; dielectrics;capacitance.

Unit 3: Signals and Systems

Representation of continuous and discrete-time signals; shifting and scalingoperations; linear, time-invariant and casual systems; Fourier series representationof continuous periodic signals; sampling theorem; Fourier, Laplace and Z transforms.

Unit 4: Electrical Machines

Single Phase transformer equivalent circuit, phasor diagram, tests, regulation andefficiency; three phase transformers connections, parallel operation; auto-transformer; energy conversion principles; DC machines types, windings,generator characteristics, armature reaction and commutation, starting and speedcontrol of motors; three phase induction motors principles, types, performancecharacteristics, starting and speed control; Single phase induction motors;synchronous machines performance, regulation and parallel operation ofgenerators, motor starting, characteristics and applications; servo and steppermotors.

Unit 5: Power Systems

Basic power generation concepts; transmission line models and performance; cableperformance insulation; corona and radio interference; distribution systems; per-unitquantities; bus impedance and admittance matrices; load flow; voltage control;

power factor correction; economic operation; symmetrical components; faultanalysis.

Unit 6: Protection and switchgear

Principles of over-current, differential and distance protection; solid state relays anddigital protection; circuit breakers; system stability concepts, swing curves and equalarea criterion; HVDC transmission and FACTS concepts.



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Unit 7: Control Systems

Principles of feedback; transfer function; block diagrams; steady state errors;Routh and Niquist techniques; Bode plots; root loci; lag, lead and lead-legcompensation; state space model; state transition matrix, controllability andobservability.

Unit 8: Electrical and Electronic Measurements

Bridges and potentiometers; PMMC, moving iron, dynamometer and induction typeinstruments; measurement of voltage, current, power, energy and power factor;instrument transformers; digital voltmeters and multimeters; phase, time andfrequency measurement; Q-meters; Oscilloscopes; potentiometric recorders; error

analysis.

Unit 9: Analog and Digital Electronics

Characteristics of diodes, BJ T, FET; amplifiers biasing, equivalent circuit andfrequency response; oscillators and feedback amplifiers; operational amplifiers characteristics and applications; simple active filters; VCOs and timers;combinational and sequential logic circuits; multiplexer; Schmitt trigger; multi-vibrators; sample and hold circuits; A/D and D/A convertors; 8-bit microprocessorbasics, architecture, programming and interfacing.

Unit 10: Power Electronics and Drives

Semiconductor power diodes, transistors, thyristors, triacs, GTOs, MOSFETs andIGBTs static characteristics and principles of operation; triggering circuits; phasecontrol rectifiers; bridge converters fully controlled and half controlled; principles ofchoppers and inverters; basis concepts of adjustable speed dc and ac drives.



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ELECTRONICS AND COMMUNICATION ENGINEERING


Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigenvectors.

Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definiteand improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals,Fourier series. Vector identities, Directional derivatives, Line, Surface and Volumeintegrals, Stokes, Gauss and Greens theorems.

Differential equations: First order equation (linear and nonlinear), Higher order lineardifferential equations with constant coefficients, Method of variation of parameters,Cauchys and Euler s equations, Initial and boundary value problems, PartialDifferential Equations and variable separable method.

Complex variables: Analytic functions, Cauchys integral theorem and integralformula, Taylor s and Laurent series, Residue theorem, solution integrals.

Probability and Statistics: Sampling theorems, Conditional probability, Mean,median, mode and standard deviation, Random variables, Discrete and continuous

distributions, Poisson, Normal and Binomial distribution, Correlation and regressionanalysis.



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Numerical Methods: Solutions of non-linear algebraic equations, single and muti-stepmethods for differential equations.

Transform Theory: Fourier transform, Laplace transform, Z-transform.

Unit 2: Networks

Network graphs: matrices associated with graphs; incidence, fundamental cut set

and fundamental circuit matrices. Solution methods: nodal and mesh analysis.Network theorems: superposition, Thevenin and Nortons maximum power transfer,Wye-Delta transformation. Steady state sinusoidal analysis using phasors. Linearconstant coefficient differential equations; time domain analysis of simple RLCcircuits, Solution of network equations using Laplace transform: frequency domainanalysis of RLC circuits. 2-port network parameters: driving point and transfer

functions. State equations for networks.

Unit 3: Electronic Devices

Energy bands in silicon, intrinsic and extrinsic silicon. Carrier transport in silicon:diffusion current, drift current, mobility and resistivity. Generation and recombinationof carriers. p-n junction diode, Zener diode, tunnel diode, BJ T, J FET, MOS capacitor,MOSFET, LED, p-l-n and avalanche photo diode, Basics of LASERs. Devicetechnology: integrated circuits fabrication process, oxidation, diffusion, ionimplantation, photolithography, n-tub, p-tub and twin-tub CMOS process.

Unit 4: Analog Circuits

Small Signal Equivalent circuits of diodes, BJ Ts MOSFETs and analog CMOS.Simple diode circuits, clipping, clamping, rectifier. Biasing and bias stability oftransistor and FET amplifiers. Amplifiers: single-and multi-stage, differential andoperational, feedback, and power. Frequency response of amplifiers. Simple op-ampcircuits. Filters. Sinusoidal oscillators; criterion for oscillation; single-transistor andop-amp configurations. Function generators and waveshaping circuits, 555 Timers.

Power supplies.

Unit 5: Digital Circuits

Boolean algebra, minimization of Boolean functions; logic gates; digital IC families(DTL, TTL, ECL, MOS, CMOS). Combinatorial circuits: arithmetic circuits, codeconverters, multiplexers, decoders, PROMs and PLAs. Sequential circuits: latchesand flip-flops, counters and shift-registers. Sample and hold circuits, ADCs, DACs.



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Semiconductor memories. Microprocessor (8085): architecture, programming,memory and I/O interfacing.


Definitions and properties of Laplace transform, continuous-time and discrete-timeFourier series, continuous-time and discrete-time Fourier Transform, DFT and FFT,z-transform. Sampling theorem. Linear Time-Invariant (LTI) Systems: definitions and

properties; causality, stability, impulse response, convolution, poles and zeros,parallel and cascade structure, frequency response, group delay, phase delay.Signal transmission through LTI systems.


Basic control system components; block diagrammatic description, reduction of blockdiagrams. Open loop and closed loop (feedback)systems and stability analysis of

these systems. Signal flow graphs and their use in determining transfer functions ofsystems; transient and steady state analysis of LTI control systems and frequencyresponse. Tools and techniques for LTI control system analysis; root loci, Routh-Hurwitz criterion, Bode and Nyquist plots. Control system compensators: elements oflead and lag compensation, elements of Proportional-Integral-Derivative (PID)control. State variable representation and solution of state equation of LTI controlsystems.

Unit 8: Analog Communication Systems

Random signals and noise: probability, random variables, probability densityfunction, autocorrelation, power spectral density. Analog communication systems:amplitude and angle modulation and demodulation systems, spectral analysis ofthese operations, superheterodyne receivers; elements of hardware, realizations ofanalog communication systems; signal-to-noise ratio (SNR) calculations foramplitude modulation (AM) and frequency modulation (FM) for low noise conditions.Fundamentals of information theory and channel capacity theorem.

Unit 9: Digital Communication Systems

pulse code modulation (PCM), differential pulse code modulation (DPCM), digital

modulation schemes: amplitude, phase and frequency shift keying schemes (ASK,PSK, FSK), matched filter receivers, bandwidth consideration and probability of errorcalculations for these schemes. Basics of TDMA, FDMA and CDMA and GSM.

Unit 10: Electromagnetics

Elements of vector calculus: divergence and curl; Gauss and Stokes theorems,Maxwell s equations; differential and integral forms. Wave equation, Poynting vector.



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Plane waves: propagation through various media; reflection and refraction; phaseand group velocity; skin depth. Transmission lines; characteristics impedance;impedance transformation; Smith chart; impedance matching; S parameters, pulse

excitation. Waveguides: modes in rectangular waveguides; boundary conditions; cut-off frequencies; dispersion relations. Basics of propagation in dielectric waveguideand optical fibers. Basics of Antennas: Dipole antennas; radiation pattern; antennagain.

ELECTRONICS AND INSTRUMENTATION


Linear algebra-Matrix algebra-eigen values and eigen vectors; Calculus-evaluation ofdefinite integrals, partial derivatives, maxima and minima, multiple integrals;Differential equations- first order (linear and non-linear), higher order linear

differential equations with constant coefficients, Cauchys and Eulers equations,initial and boundary value problems; partial differential equations-variable separablemethod; Complex variables-analytic functions, Cauchys integral theorem andintegral formula, Taylors series, residue theorem; Numerical methods-solutions ofnon-linear algebraic equations and differential equations.

Unit 2: Electric Circuits

Ohms law, KCL, KVL, node and mesh analysis, ideal current and voltage sources,Network theorems: superposition, Thevenins, Nortons, maximum power transfer;sinusoidal steady-state analysis; resonance; transient analysis of dc and ac

networks; two-port networks; three-phase circuits.

Unit 3: Analog and Digital Circuits



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Characteristics of diodes, BJ Ts, J FETs and MOSFETs; Amplifiers-single andmultistage; Frequency response; Operational amplifiers - design, characteristics,linear and non-linear applications; instrumentation amplifiers; precision rectifiers; I

to-V and V-to I converters; active filters; comparators; signal generators and waveshaping circuits.

Combinational logic circuits-minimization of Boolean functions; IC families (TTL,MOS, CMOS); arithmetic circuits, multiplexer and decoders. Sequential circuits-flip-

flops, counters, shift registers, schmitt trigger, timers, multivibrators and S/H circuits.Analog-to-digital and digital-to-analog converters. 8-bit and 16-bit microprocessors(architecture, memory and I/O interfacing) and 8-bit microcontroller.


Linear Time-Invariant (LTI) Systems-definitions and properties; causality, stability;Laplace transform and transfer function; Fourier series-Fourier transforms; Impulse

and frequency responses of first and second order systems; Discrete time systems,difference equations, impulse and frequency responses; Z-transforms and transferfunctions; convolution and correlation; IIR and FIR filters.

Unit 5: Electrical and Electronic Measurements

Measurement of R, L and C; bridges and potentiometers; measurement of voltage,current, power, power factor and energy; instrument transformers; Q-meter;waveform analyzers. Digital volt-meters and multi-meters. Time, phase andfrequency measurements; Oscilloscope; Noise and interference in instrumentation.Introduction to virtual instrumentation.

Unit 6: Transducers and Smart Instruments

Static and dynamic characteristics of transducers; units and standards; calibrationtechniques; classification of errors-error analysis; variable resistance, variableinductance and variable capacitance transducers; piezo-electric transducers; fibre-optic transducers; ultrasonic transducers; smart transducers; introduction to microelectro mechanical systems (MEMS).

Unit 7: Industrial and Analytical instrumentation

Pressure, flow, temperature and level measurements- principle of operation,installation and maintenance, calibration; measurement of force, torque, velocity,vibration, humidity, viscosity, and density.

Spectrophotometers (UV and IR); pH meters; conductivity meters; analyzers (O2,NO2, H2S), chromatography (gas and liquid); NMR spectroscopy, X-ray spectroscopyand mass spectrometer.



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Principles of feedback; transfer function, signal flow graphs; time response analysis;Bode plots, root-loci, Routh and Nyquist criteria; compensation techniques; Statespace analysis.

Unit 9: Process control

Batch and continuous process; modeling-level, flow and thermal processes; servoand regulator operations; interacting and non-interacting systems; control actions(on-off, P,I, D, P I and PID) and controller tuning; complex control techniques( feed-forward, cascade, ratio and split-range); dynamic matrix control; distillation columncontrol; control of heat exchanger; valve-types, characteristics, sizing, positioners,

cavitation and flashing.

Unit 10: Logic and Distributed control system

PLC-sequential and programmable controllers, programming logic-ladder logic andfunction block programming; data acquisition system (DAS); direct digital control(DDC); supervisory control and data acquisition system (SCADA); distributed controlsystem (DCS); HART and Field bus, OLE for process control (OPC)

COMPUTER SCIENCE AND ENGINEERING / INFORMATION

TECHNOLOGY


Mathematical Logic: Propositional Logic; First Order Logic.

Probability: Conditional Probability; Mean, Median, Mode and Standard Deviation;Random variables; Distributions; uniform, normal, exponential, Poisson, Binomial.

Set Theory and Algebra: Sets; Relations; Functions; Groups; Partial Orders; Lattice;Boolean Algebra.

Combinatorics: Permutations; Combinations; Counting; Summation; generating

functions; recurrence relations; asymptotics.

Graph Theory: Connectivity; spanning trees; cut vertices & edges; covering;

matching; independent sets; Colouring; Planarity; Isomorphism.



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Linear Algebra: Algebra of matrices, determinants, systems of linear equations,Eigen values and Eigen Vectors.

Numerical Methods: LU decomposition for systems of linear equations; numericalsolutions of non-linear algebraic equations by Secant, Bisection and Newton-Raphson Methods; Numerical integration by trapezoidal and Simpson s rules.

Calculus: Limit, Continuity & differentiability, Mean Value Theorems, Theorems of

integral calculus, evaluation of definite& improper integrals, Partial derivatives, Totalderivatives, maxima & minima.

Unit 2: Theory of Computation

Regular languages and finite automata, Context free languages and Push-down

automata, Recursively enumerable sets and Turing machines, Undecidability; NP-completeness.

Unit 3: Digital Logic

Logic Functions, Minimization, Design and synthesis of combinational and sequentialcircuits; Number representation and computer arithmetic (fixed and floating point).

Unit 4: Computer Organization and Architecture

Machine instructions and addressing modes, ALU and data-path, CPU controldesign, Memory interface, I/O interface (interrupt and DMA mode), Instructionpipelining, Cache and main memory, Secondary storage.

Unit 5: Programming and Data Structures

Programming in C; Functions, Recursion, Parameter passing, Scope, Binding;Abstract data types, Arrays, Stacks, Queues, Linked Lists, Trees, Binary searchtrees, Binary heaps.

Unit 6: Algorithms

Analysis, Asymptotic notation, Notions of space and time complexity, Worst andaverage case analysis; Design: Greedy approach, Dynamic programming, Divide-and-conquer; Tree and graph traversals, Connected components, Spanning trees,Shortest paths; Hashing, Sorting, Searching.



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Unit 7: Compiler Design

Lexical analysis, Parsing, Syntax directed translation, Runtime environments,

Intermediate and target code generation, Basics of code optimization.

Unit 8: Operating System

Processes, Threads, Inter-process communication, Concurrency, Synchronization,

Deadlock, CPU scheduling, Memory management and virtual memory, File systems,I/O systems, Protection and security.

Unit 9: Databases

ER-model, Relational model (relational algebra, tuple calculus), Database design

(integrity constraints, normal forms), Query languages (SQL), File structures(sequential files, indexing, B and B+trees), Transactions and concurrency control.

Unit 10: Computer Networks

ISO/OSI stack, LAN technologies (Ethernet, Token ring), Flow and error controltechniques, Routing algorithms, Congestion control, TCP/UDP and sockets, IP (v4),Application layer protocols (icmp, dns, smtp, pop,ftp, http); Basic concepts of hubs,switches, gateways, and routers.

PRODUCTION ENGINEERING


Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values and

eigenvectors.

Calculus: Functions of single variable, Limit, continuity and differentiability, Mean

value theorems, Evaluation of definite and improper integrals, Partial derivatives,Total derivative, Maxima and Minima, Gradient, Divergence and Curl, Vectoridentities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gaussand Greens theorems.

Differential equations: First order equations (linear and non-linear), Higher order

linear differential equations with constant coefficients, Cauchys and Eulersequations, Initial and boundary value problems, Laplace transforms, Solutions of onedimensional heat and wave equations and Laplace equation.



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Complex variables: Analytic functions, Cauchys integral theorem, Taylor and

Laurent series.

Probability and Statistics: Definitions of probability and sampling theorems,

Conditional probability, Mean, median, mode and standard deviation, Randomvariables, Poisson, Normal and Binomial distributions.

Numerical Methods: Numerical solutions of linear and non-linear algebraic

equations Integration by rapezoidal and Simpsons rule, single and multi-stepmethods for differential equations.

Unit 2: Engineering Materials and Applied Mechanics

Engineering Materials: Structure and properties of engineering materials and theirapplications: effect of strain, strain rate and temperature on mechanical properties of

metals and alloys; heat treatment of metals and alloys, its influence on mechanicalproperties.

Applied Mechanics: Engineering Mechanics equivalent force systems, free body

concepts, equations of equilibrium; strength of materials stress, strain and theirrelationship, Mohrs circle, deflection of beams, bending and shear stress, Eulerstheory of columns.

Unit 3: Theory of Machines and Design

Analysis of planar mechanisms, cams and followers; governers and fly wheels;design of elements failure theories; design of bolted, riveted and welded joints;design of shafts, keys, spur gears, belt drives, brakes and clutches.

Unit 4: Thermal Engineering

Fluid Mechanics fluid statics, Bernoulli s equation, flow through pipes, equations ofcontinuity and momentum; thermodynamics zeroth, first and second law of

thermodynamics, thermodynamic system and processes, calculation of work andheat for systems and control volumes; air standard cycles; basics of internalcombustion engines and steam turbines; heat transfer fundamentals of conduction,convection and radiation, heat exchangers.

Unit 5: Metal Casting and Forming



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Casting Processes types and applications; patterns types and materials;

allowances; moulds and cores materials, making, and testing; casting techniquesof cast iron, steels and nonferrous metals and alloys; solidification; design of casting,

gating and risering; casting inspection, defects and remedies.

Metal Forming Stress-strain relations in elastic and plastic deformation; concept of

flow stress, deformation mechanisms; hot and cold working forging, rolling,extrusion, wire and tube drawing; sheet metal working processes such as blanking,

piercing, blending, deep drawing, coining and embossing; analysis of rolling, forging,extrusion and wire/rod drawing; metal working defects.

Unit 6: Metal Joining Processes

Welding Processes manual metal arc, MIG, TIG, plasma arc, submerged arc,

electroslag, thermit, resistance, forge, friction, and explosive Welding; other joiningprocesses soldering, brazing, braze welding; inspection of welded joints, defects

and remedies; introduction to advanced welding processes ultrasonic, electronbeam, laser beam; thermal cutting.

Unit 7: Machining and Machine Tool Operations

Basic Machine tools; machining processes-turning, drilling, boring, milling, shaping,

planning, gear cutting, thread production, broaching, grinding, lapping, honing, superfinishing; mechanics of machining geometry of cutting tools, chip formation, cuttingforces and power requirements, Merchants analysis; selection of machiningparameters; tool materials, tool wear and tool life, economics of machining, thermalaspects of machining, cutting fluids, machinability; principles and applications ofnontraditional machining processes USM, AJ M, WJ M, EDM and Wire cut EDM,LBM, EBM, PAM, CHM, ECM.

Tool Engineering: J igs and fixtures principles, applications, and design; press

tools configuration, design of die and punch; principles of forging die design.

Unit 8: Metrology and Inspection

Limits, fits, and tolerances, interchangeability, selective assembly; linear and angularmeasurements by mechanical and optical methods, comparators; design of limit

gauges; interferometry; measurement of straightness, flatness, roundness,squareness and symmetry; surface finish measurement; inspection of screw threadsand gears; alignment testing of machine tools.

Unit 9: Powder Metallurgy

Production of metal powders, compaction and sintering.



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Polymers and composites: Introduction to polymers and composites; plastic

processing injection, compression and blow molding, extrusion, calendaring andthermoforming; molding of composites.

Unit 10: Manufacturing Analysis

Sources of errors in manufacturing; process capability; tolerance analysis inmanufacturing and assembly; process planning; parameter selection and

comparison of production alternatives; time and cost analysis; manufacturingtechnologies strategies and selection.

Computer Integrated Manufacturing: Basic concepts of CAD, CAM, CAPP, cellularmanufacturing, NC, CNC, DNC, Robotics, FMS and CIM.

METALLURGICAL ENGINEERING


Linear Algebra: Matrices and Determinants, Systems of linear equations, Eigen

values and eigen vectors.

Calculus: Limit, continuity and differentiability; Partial Derivatives; Maxima and

Minima; Sequences and series; Test for convergence; Fourier series.



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Vector Calculus: Gradient; Divergence and Curl; Line; Surface and Volume

integrals; Strokes, Gauss and Green s theorems.

Differential Equations: Linear and non-linear first order ODEs; Higher order linearODEs with constant coefficients; Cauchys and Eulers equations; Laplacetransforms; PDEs Laplace; heat and wave equations.

Probability and Statistics: Mean, median, mode and standard deviation; Random

variables; Poisson, normal and binomial distributions; Correlation and regressionanalysis.

Numerical methods: Solutions of linear and non-linear algebraic equations;

integration of trapezoidal and Simpsons rule; single and multi-step methods fordifferential equations.

Unit 2: Thermodynamics and Rate Processes

Laws of thermodynamics, activity, equilibrium constant, applications to metallurgicalsystems, solutions, phase equilibria, Ellingham and phase stability diagrams,thermodynamics of surfaces, interfaces and defects, adsorption and segregation;basic kinetic laws, order of reactions, rate constants and rate limiting steps.

Unit 3: Electro Chemistry and Mass Transfer

Principles of electro chemistry single electrode potential, electro-chemical cells andpolarizations, aqueous corrosion and protection of metals, oxidation and hightemperature corrosion characterization and control; heat transfer conduction,convection and heat transfer coefficient relations, radiation, mass transfer diffusionand Ficks laws, mass transfer coefficients; momentum transfer concepts ofviscosity, shell balances, Bernoulli s equation, friction factors.

Unit 4: Extractive Metallurgy

Minerals of economic importance, comminution techniques, size classification,

Flotation, gravity and other methods of mineral processing; agglomeration, pyro-hydro- and electro-metallurgical processes; material and energy balances; principlesand processes for the extraction of non-ferrous metals aluminium, copper, zinc,lead, magnesium, nickel, titanium and other rare metals.

Unit 5: Iron and Steel making



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Principles, role structure and properties of slags, metallurgical coke, blast furnace,direct reduction processes, primary and secondary steel making, ladle metallurgyoperations including deoxidation, desulphurization, sulphide shape control, inert gas

rinsing and vacuum reactors; secondary refining processes including AOD, VAD,VOD, VAR and ESR; ingot and continuous casting; stainless steel making, furnacesand refractories.

Unit 6: Physical Metallurgy

Crystal structure and bonding characteristics of metals, alloys, ceramics andpolymers, structure of surfaces and interfaces, nano-crystalline and amorphousstructures; solid solutions; solidification; phase transformation and binary phasediagrams; principles of heat treatment of steels, cast iron and aluminium alloys;surface treatments; recovery, recrystallization and grain growth; industrially important

ferrous and non-ferrous alloys; elements of X-ray and electron diffraction; principlesof scanning and transmission electron microscopy; industrial ceramics, polymers and

composites; electronic basis of thermal, optical, electrical and magnetic properties ofmaterials; electronic and opto-electronic materials.

Unit 7: Mechanical Metallurgy

Elasticity, yield criteria and plasticity; defects in crystals; elements of dislocationtheory - types of dislocations, slip and twinning, source and multiplication ofdislocations, stress fields around dislocations, partial dislocations, dislocationinteractions and reactions; strengthening mechanisms; tensile, fatigue and creepbehaviour; super-plasticity; fracture Griffith theory, basic concepts of linear elasticand elasto-plastic fracture mechanics, ductile to brittle transition, fracture toughness;failure analysis; mechanical testing tension, compression, torsion, hardness,impact, creep, fatigue, fracture toughness and formability.

Unit 8: Metal casting and Forming

Metal casting Patterns and moulds including mould design involving feeding,

gating and risering, melting, casting practices in sand casting, permanent mouldcasting, investment casting and shell moulding, casting defects and repair; hot, warmand cold working of metals, Metal forming fundamentals of metal formingprocesses of rolling, forging, extrusion, wire drawing and sheet metal forming,defects in forming;

Unit 9: Metal joining



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Soldering, brazing and welding, common welding processes of shielded metal arcwelding, gas metal arc welding, gas tungsten arc welding and submerged arcwelding; welding metallurgy, problems associated with welding of steels and

aluminium alloys, defects in welded joints;

Unit 10: Powder Metallurgy

NDT using dye-penetrant, ultrasonic, radiography, eddy current, acoustic emission

and magnetic particle methods.

INDUSTRIAL BIO-TECHNOLOGY


Differential equation - First order equations (linear and non-linear) Higher order

linear differential equation with constant co-efficients Method of variation ofparameters Initial and boundary value problems Partial differential equations andvariable separation methods.



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Probability and statistics Sampling theorem Mean, Mode, Median and

standard deviation Random variables Poisson, normal and binomial distributions

Correlation and regression analysis Tests of significance (x2

and t)

Numerical methods Numerical solutions of linear and non-linear equations

Integration by trapezoidal and Simpsons rule Single and multi-step methods fordifferential equations

Unit 2: Microbiology and Cell Biology

Types of Microbes Bacteria, fungi, algae and viruses Staining of bacteria

Applications of microscopes

Growth Kinetics

Role of substrate

Growth phases

Monod KineticsSterilization methods

Impact of microbes Human diseases and welfare Applications in agriculture

Bio and geo cycles

Cell and tissue structures Cellular components and functions Cell division /

mitosis and meiosis Cellular locomotion Cytoskeletons

Membranes and transport Cellular membrane structure Transport of Na, K, Ca

ions Proton pump Facilitated transports

Signals and Communications Nervous Systems (signal transmission)

Endocrine systems (ligands, receptors and hormones) Secondary signalingmolecules (G proteins, etc.)

Unit 3: Biochemistry and Instrumental Methods

Biomolecules Carbohydrates Proteins Lipids Coenzymes and Cofactors

Biopolymer synthesis DNA, RNA synthesis Proteins synthesis Lipid

synthesis

Metabolic Pathways Oxidative phosphorylation Calvin cycle Nucleic acidmetabolism

Spectroscopic Methods UV-Vis spectroscopy IR, GC, HPLC Mass Spec,

XRD Atomic Absorption, Fluorescence

Immunochemical methods ELISA, RIA Electrophoresis Western Blot

Histochemical techniques



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Chromatographic techniques TLC, ion-exchange Gel permeation Immuno

chromatography

Unit 4: Molecular Biology and Genetic Engineering

DNA and its modifications DNA extraction, modifying enzymes DNA protein

interaction Polymerase Chain Reaction

Molecular biological techniques In vitro transcription In vitro translation

Immuno precipitation

Recombinant DNA Technology Expression systems Organismic modifications Fundamentals of Genetics Inheritance, selection Mendelism Genotype

phenotype correlation One gene one enzyme hypothesis Epistasis

Gene mapping Gene cloning Sequencing Complex diseases

Applications of genetics Pharmacogenetics Prenatal diagnosis Hybrid vigour

Gene Therapy

Unit 5: Enzyme and Immuno Technology

Sources and applications of free enzymes Microbial, plant and animal enzymes

Tanning, food and detergent industries Diagnostic applications

Enzyme Immobilization

Immobilization methods and supports Properties of free

and immobilized enzymes Applications of immobilized enzymes

Purification and characterization Extraction methods Purification techniques

Enzyme characterization Development of enzyme assays

Principles of immunology Antigen-antibody interaction Cell mediated

immunoresponse Mechanism of antibody response

Immunodiagnostic techniques In vitro methods In vivo methods

Vaccines Immunological preparations Types of vaccines

Unit 6: Bioinformatics and Computational Biology

Introduction Biological database: Genbank, Swissprot Human genome project

DNA, RNA, protein sequences



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Pattern matching and Machine learning Pairwise alignment Multiple sequence

alignment BLAST, FASTA Hidden Markov Models

Phylogeny Irrelevant mutations and controls Mutations as measure of time anddistance, Time intervals and distances between species

Protein architecture Primary structure automated Edman method Super

secondary structure Tertiary structure

Protein folding Scaffold design Backbone loop and turn design Search

algorithms for domain analysis

Drug design Computer aided drug design Combinatorial chemistry Protein,

RNA structure prediction

Unit 7: Mass & Heat Transfer

Mass transfer fundamentals Laws of diffusion Vapour liquid equilibria Liquid

liquid equilibria Adsorption equilibria

Distillation Simple, steam, flash distillation McCabe-Thiele Method HETP,

HTU, NTU concepts

Separation equipment Rotary vacuum drier Absorption tower Staged and

continuous extractor Membrane separator

Heat transfer theory Steady state conduction Forced and natural convection

Combined conduction and convection Extended surfaces

Design of heat transfer equipment Double pipe heat exchanger Shell and tube

heat exchanger Multiple effect evaporators

Operations Cooling towers Flash evaporation Settling and sedimentation

Continuous filtration

Unit 8: Unit Operations & Biochemical Engineering

Stoichiometry and energetics of microbial metabolism Mass and energy

balance Heats of reaction and vaporization Energetics ATP as energy currency Enzyme catalysis Enzyme catalyzed reactions Inhibition, denaturation and

deactivation Enzyme kinetics Mechalis Menton



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Upstream processing Substrate preparation Innoculum preparation

Sterilization techniques

Bioprocess parameters Oxygen transfer in bioreactors Bioprocess monitoringand control Facultative and anaerobic fermentations

Downstream processing Precipitation, centrifugation, ultra filtration

Crystallization and electrophoresis Solvent mediated separations

Product recovery Nutsche and rotary vacuum filters Magma crystallizer

Supercritical extractor

Unit 9: Reaction Engineering & Thermodynamics

Chemical Kinetics

Rate equations for homogeneous reactions

Concentrationand temperature dependence Rate equations for heterogeneous catalytic reactions

Ideal reactors and non-ideal flow Isothermal, batch reactors and flow reactors

Performance equations for single reactors RTD in non-ideal flow Reactorperformance with non-ideal flow

Industrial reactors Trickle bed reactors Slurry reactors Fluidized bed reactors

Solution thermodynamics Concepts of chemical potential and fugacity Ideal

and non-ideal solutions Activity coefficients Gibbs-Duhem equation

Phase equilibrium Criteria for phase equilibrium Vapour-liquid equilibrium

calculations for binary systems

Chemical reaction equilibria Evaluation of equilibrium constant Effect of T & P

on equilibrium constant Equilibrium conversion for single reactions

Unit 10: Applications of Biotechnology

Food Biotechnology Food processing using bacteria, yeast, fungi Single cell

proteinFood preservation, cheese manufacture

Plant Biotechnology Plant tissue culture Vectors for plant modification

Genetically modified crops

Animal Biotechnology Animal tissue culture Products from animal cell culture

Transgenic animals



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Chemical feedstock and acids Ethanol, butanol, acetone, glycerol Citric, lactic,

acetic acids Glutamic, aspartic acids and phenylalanine

Environmental Biotechnology

Aerobic and anaerobic treatment of waste water -Solid waste treatment Air pollution and control

Antibiotics and Enzymes Penicillin, streptomycin, erythromycin Proteases,

amylases, lipases Biopesticides, biofertilizers

ENGLISH

Unit 1: Chaucer to Shakespeare

Geoffrey Chaucer : The Prologue to the Canterbury TalesEdmund Spenser : ProthalamionShakespeare : Sonnets



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(12,18,29,30,33,53,54,60,65,73,90,94,107,116,144)J ohn Donne : A Valediction : Forbidding MourningAndrew Marvell : To His Coy MistressFrancis Bacon : Of Truth

Of DeathOf RevengeOf Marriage and Single LifeOf AmbitionOf Nobility

Christopher Marlowe : Dr.FaustusThomas Middleton : The ChangelingJ ohn Webster : The Duchess of MalfiWilliam Shakespeare : Twelfth Night

Henry IV Part IMacbeth

The Tempest

Antony and Cleopatra

Unit 2 : Jacobean to Augustan Age

J ohn Milton : Paradise Lost Book IXJ ohn Dryden : Mac FlecnoeAlexander Pope : An Epistle to Dr.Arbuthnot

Thomas Gray : Elegy Written in a Country ChurchyardThompson : Spring

Autumn

WinterWilliam Collins : Ode to Evening

William Blake : A Poison TreeThe TigerThe Lamb

J ohn Dryden : Preface to the Fables

J onathan Swift : The Battle of the BooksDaniel Defoe : Robinson CrusoeAddison and Steele : The Spectator and the Coverly Papers (Essays 1-10

Macmillan Edn.)Samuel J ohnson : Preface to ShakespeareWilliam Congreve : The Way of the WorldR.B.Sheridan : The RivalsGoldsmith : She Stoops to Conquer

Henry Fielding : Tom J ones

Unit 3 : Romantic Period

Wordsworth : Intimation OdeTintern Abbey

Coleridge : Kubla KhanThe Rime of the Ancient Mariner



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P.B.Shelley : To a SkylarkJ ohn Keats : Ode to a Nightingale

Ode on a Grecian UrnByron : Vision of J udgementCharles Lamb : Essays of Elia

1. The South-Sea House

2. Dream Children : A Reverie3. Christ Hospital Five and Thirty Years Ago4. Oxford in the Vacation

5. All Fools DayWordsworth : Preface to the Lyrical Ballads

Walter Scott : The Heart of MidlothianJ ane Austen : Pride and PrejudiceEmily Bronte : Wuthering Heights

Unit 4 : Romantic Period

Tennyson : UlyssesThe Lotus Eaters

Robert Browning : My Last DuchessAndrea Del Sarto

Matthew Arnold : The Scholar GipsyDover Beach

D.G.Rossetti : The Blessed Damozel

G.M.Hopkins : The Wreck of the Deutschland

Matthew Arnold : The Study of PoetryOscar Wilde : The Importance of Being EarnestCharles Dickens : Great Expectations

Thomas Hardy : The Woodlanders

Unit 5 : Modern and Contemporary Periods

W.B.Yeats : Sailing to Byzantium

T.S.Eliot : The Waste LandW.H.Auden : The Unknown CitizenPhilip Larkin : Church Going



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C.B.Lewis : Fern HillT.S.Eliot : Tradition and the Individual TalentE.M.Forster : (Selections from E.M.Forster.

Edited by R.Krishnamoorthy & Published by Macmillan).1. Notes on the English Character2. My Wood3. Hymn Before Action4. Tolerance

5. What I BelieveG.B.Shaw : Arms and the Man

J ohn Osborn : Look Back in Anger

T.S.Eliot : Murder in the CathedralD.H.Lawrence : The RainbowWilliam Golding : Lord of the Flies

J oseph Conrad : Lord J im

Unit 6 : American Literature

Emerson : BrahmaPoe : The RavenWhitman : When Lilacs Last in the Dooryard BloomdEmily Dickinson : Success is Counted Sweetest

I Tasted a Liquor Never BrewedBecause I Could not Stop for DeathA Narrow Fellow in the Grass

Robert Frost : Mending Wall Stopping By Woods on a Snowy Evening

Wallace Stevens : The Emperor of Ice-creamEmerson : The American Scholar

Henry J ames : The Art of FictionO Neill : The Hairy Ape

Edward Albe : Whos Afraid of Viginia WoolfeHawthorne : The Scarlet LetterMark Twain : Huckleberry Finn

Ernest Hemingway : The Old Man and the SeaFaulkner : The Sound and the FuryAlice Walker : Color Purple

Unit 7 : Indian and English Literature

Toru Dutt : The LotusOur Casuarina Tree

R.Parthasarathy : Under Another SkyA River Once

Sarojini Naidu : Indian Weavers



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Kamala Dass : Introduction My Grandmothers HouseNissim Ezekiel : Enterprise

Night of the ScorpionA.K.Ramanujan :

Small Scale Reflections on a Great HouseObituarySri Aurobindho : The Renaissance in India

Tagore : Post OfficeGirish Kamard : TughlaqR.K.Narayan : The Guide

Chaman Nahal : AzadiDeshpande : The Dark Holds No TerrorArundathi Roy : God of Small Things

Unit 8 : Language and Linguistics

Family of Indo-European Languages

Foreign InfluencesWord MakingChange of Meaning

Spelling ReformsStandard EnglishMorphology

Basic Sentence PatternsIC AnalysisStructural Linguistics

T.G. Grammar

English Language TeachingTranslationSemantics, Pragmatics and DiscourseDescriptions and classification of Consonants and VowelsAccentIntonationPhonetic TranscriptionWriting a research paper: Bibliography, abstract, documentation, etc.,Mechanics of thesis writing

Unit 9 : Criticism and Literary Theories

Aristotle : PoeticsDr.J ohnson : Life of Milton

T.S.Eliot : The Function of CriticismI.A.Richards : Four Types of MeaningNorthrop Frye : The Archetypes of LiteratureLionel Trillin : The Meaning of a Literary IdeaRolland Barthes : The Death of the Author



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Wayne Booth : Telling and ShowingEdward Wilson : A Historical Interpretation of LiteratureDerrida : Structure, Sign ad Play in the Discourse of Human

SciencesTerry Eagleton : Capitalism, Modernism and Post ModernismElaine Showalter : Towards a Feminist PoeticsGayatri Spivak : Imperialism and Sexual Difference

Unit 10 : Post Colonial Literature and European Literature in Translation

A.G.Smith : Ode on the Death of William Butler YeatsLike an Old Proud King in a Parable.

Margeret at Wood : J ourney to the InteriorP.K.Page : Adolescence

Wilfered Campbell : The Winter LakesGeorge Ryga : The Ecstasy of Rita J oeMargaret Lawrance : The Stone AngelOndaatje : Running in the FamilySir Thomas More : UtopiaMoliere : The MisanthropistIbsen : A Doll s HouseWole Soyinka : The Lion and the J ewelChinua Achebe : Things Fall Apart



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MATHEMATICS

Unit 1: Real Analysis

Finite-countable and uncountable sets,-Bounded and unbounded sets-ArchimedeanProperty-Ordered field-Completeness of R-Extended real number system-

Sequences and series-limsup and liminf of a sequence-convergence of sequencesand series-uniform convergence-continuity of a function-types of discontinuities-uniform continuity-differentiability-Roll s theorem-mean value theorem monotonefunctions, functions of bounded variations,-Riemann Integral and its properties-Improper integrals and their convergence and uniform convergence- sequence offunctions and series of functions-point wise convergence and uniform convergence-

Bolzano-Weierstrass Theorem-Compact subsets of Rn

-Heine-Borel Theorem-Riemann-Stieltjes integral and its properties- partial, directional and total derivativesin Rn.

Unit 2: Complex Analysis

Algebra of complex numbers, Riemann Sphere, Stereographic projection, lines,circles, cross ratio, Mobious transformation, Analytic functions, Cauchy-Riemann

equations, line integrals, Cauchys theorem for convex regions, Morera s theorem,Liouvilles theorem, Fundamental Theorem of Algebra, Cauchys Integral formula,power series representation, classification of singularities, Riemann theorem for

removable singularities, Taylor s and Laurents series expansions, maximummodulus principle. Schwarz lemma, Open mapping theorem, Contour integration,Conformal mapping, Entire functions, Harmonic functions, Elliptic functions, Analyticcontinuation.

3. Algebra

Groups, subgroups, normal subgroups, quotient groups, homomorphisms, cyclicgroups, permutation groups, symmetric groups, alternating groups, simple groups,Sylows theorem, Finite abelian groups, Rings, ideals, integral domains, polynomialrings, Euclidean ring, Principal ideal domains, Unique factorisation domains, Finitefields, Extension fields, Splitting fields, Galois Theorem.

Vector spaces, linear independence, bases, dimension, subspaces, quotient spaces,algebra of linear transformations, kernel, range, isomorphism, matrix representationof a linear transformation, change of bases, Dual bases, dual space, projection,

transpose, trace, determinant, Hermitian, Unitary and normal transformations, eigenvalues and eigen vectors, Cayley-Hamilton theorem, Invariant subspaces, canonicalforms: triangular form, J ordan form, rational canonical form.



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4. Topology

Topological spaces-Basis for a topology-The product topology The subspacetopology-Closed sets and limit points, Continuous functions-the product topology-The metric topology. Connected spaces-connected subspaces of the Real line Components and local connectedness, Compact spaces-compact subspaces of the

Real line Limit Point Compactness Local Compactness. The Countability Axioms The separation Axioms Normal spaces The Urysohn Lemma The Tietzeextension theorem.

5. Measure Theory and Functional Analysis

Measure Theory: Lebesgue Outer Measure-Measurable sets-RegularityMeasurable Functions-Borel and Lebesgue Measurablility- Integration of Non-

negative functions The General Integral Riemann and Lebesgue Integrals, Fieldof sets, sigma-field of sets, finitely additive set function and countably additive setfunction, measure, Measurable and measure spaces, Extension of measures, signedmeasures, J ordan, Hahn decomposition theorem, Monotone convergence Theorem,Fatous lemma, Dominated convergence theorem, absolute continuity, Lp spaces-

Convex functions, J ensens inequality, Holders and Minkowski s inequalities, Radon-Nikodym derivative, Fubinis Theorem.

Functional Analysis: Normed Linear space-Continuous Linear Transformations

Banach spaces-The Hahn-Banach Theorem The natural embedding of N in N** -Open mapping theorem Closed graph Theorem Uniform boundedness theoremconjugate of an operator Inner product space Orthogonalisation process HilbertSpace Orthonormal sets-Orthogonal complements conjugate space H* - Adjointof an operator Self-adjoint Normal and Unitary Operators Projections.

6. Differential Equations

Ordinary Differential Equations : Second order homogeneous equations-Initial

value problems-Linear dependence and independence-Wronskian and a formula forWronskian-Non-homogeneous equation of order two. Homogeneous and non-homogeneous equation of order n Initial value problems- Annihilator method to

solve non-homogeneous equation- Algebra of constant coefficient operators. Initialvalue problems Existence and uniqueness theorems- Solutions to solve a non-homogeneous equation Wronskian and linear dependence reduction of the orderof a homogeneous equation - homogeneous equation with analytic coefficients TheLegendre equation. Euler equation Second order equations with regular singularpoints Exceptional cases Bessel Function. Equation with variable separated Exact equation- method of successive approximations the Lipschitz condition-convergence of the successive approximations and the existence theorem.



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Partial Differential Equations: Linear and non-linear first order partial differential

equations Second order equations in two independent variables canonical forms

equations with constant coefficients - general solution. The Cauchy problem Homogeneous wave equation Initial Boundary value problem -Non- homogeneousboundary conditions Non- homogeneous wave equation Riemann method Goursat problem spherical wave equation cylindrical wave equation. Separationof variable Vibrating string problem Existence and uniqueness of solution of

vibrating string problem. Heat conduction problem Existence and uniqueness ofsolution of heat conduction problem Laplace and beam equations. Boundary valueproblems Maximum and minimum principles Uniqueness and continuity theorem Dirichlet Problem for a circle, a circular annulus, a rectangle Dirichelt probleminvolving Poisson equation Neumann problem for a circle and a rectangle. TheDelta function Greens function Method of Greens function Dirichlet Problem

for the Laplace and Helmholtz operators.

7. Mechanics and Numerical Methods

Mechanics : Generalised coordinates - Constraints Virtual work- Energy and

Momentum, Derivation of Lagrange s equations-Examples Integrals of motion.Hamiltons Principle Hamiltons Equation Other variational principle. HamiltonPrinciple function Hamilton-J acobi Equation- Separability, Differential forms andgenerating functions Special Transformations-Lagrange and Poisson brackets.

Numerical Methods: Representation of numbers (binary, octal, decimal,

hexadecimal) Errors Difference Table Difference formula Solution of non-linear equations: Bisection, secant, regula-falsi, Newton-Raphson, Fixed iteration.Solution of system of equations: Gauss Elimination, J acobi, Gauss-J ordan, Gauss-Seidal, LU decomposition. Solution of ordinary differential equations: Taylor Series,Euler and modified Euler, Runge-Kutta method of order two and four, Milne-Simpson, Adams-Badsforth method.

8. Probability and Mathematical Statistics

Probability : Random events Probability axioms Combinatorial formulae

conditional probability-Bayes Theorem Independent events Random Variables Distribution Function J oint Distribution Marginal Distribution Conditional

Distribution Independent random variables Function of random variables.Expectation Moments The Chebyshev Inequality Absolute moments CumulantGenerating Function, Moment Generating Function and Probability Generatingfunction Properties of characteristic functions Characteristic functions andmoments characteristic function of the sum of the independent random variables Determination of distribution function by the Characteristic function - Probabilitygenerating functions. One point, two point, Binomial Poisson distribution Uniform(discrete and continuous) normal-gamma distributions. Weak law of large numbers



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Central limit theorem (Lindberg Theorem and Lapunov Theorem) Borel-CantelliLemma Kolmogorov Strong Law of large numbers.

Mathematical Statistics: Sampling: Sample mean, sample variance and their

independence-Moments of sample mean and sample variance, t distribution, Fdistribution. Point Estimation : Unbiasedness, consistency, sufficiency, efficient and

asymptotically most efficient-Method of moments: One parameter and twoparameters cases-Maximum likelihood Estimation: One parameter and twoparameter cases unbiasedness, mean square error, CR bound. Interval Estimation:Derivation of confidence interval:-The pivotal method, confidence limits, sample size,confidence interval for the normal distribution (mean, variance)-Confidence intervalfor Binomial and Poisson-Confidence interval for two sample problems (Two normal

means, two population variances, two population propositions, two Poissonparameters, paired data). Hypotheses, test statistics, decision and errors:

Hypotheses (Null, alternative, simple and composite), one sided and two sided tests,test statistics, errors (Type I and II errors), Best Test (smallest type-II error), p values. Best Tests: Testing the value of a population mean, of population variance,of population proposition. Of the mean of Poisson. Best Tests: Testing the value ofthe difference between two population means, ratio of two population variances,difference between population propositions, difference between two Poisson means,paired data. Tests and confidence intervals: chi-square test, goodness of fit,contingency table for independence. ANOVA: One way and two way classifications.

9. Differential Geometry and Graph Theory

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-Helics.Surface curves on a surface Surface of revolution Helicoids Metric Direction coefficients families of curves-Isometric correspondence- Intrinsicproperties. Geodesics Canonical geodesic equations Normal property ofgeodesics- Existence Theorems Geodesic parallels Geodesics curvatures Gauss-Bonnet Theorem Gaussian curvature-surface of constant curvature. Thesecond fundamental form-Principle curvature Lines of curvature Developable Developable associated with space curves and with curves on surface Minimal

surfaces Ruled surfaces. Compact surfaces whose points are umblics-Hilbertslemma Compact surface of constant curvature Complete surface and theircharacterization Hilberts Theorem Conjugate points on geodesics.

Graph Theory: Graphs and simple graphs Graphs Isomorphism The Incidence

and Adjacency Matrices Subgraphs Vertex Degrees Paths and Connections Cycles Trees Cut Edges and Bonds Cut Vertices. Connectivity - Blocks Euler tours- Hamilton Cycles. Matchings Matchings and Coverings in Bipartite



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Graphs Edge Chromatic Number. Vizings Theorem. Independent sets Ramseys Theorem Chromatic Number Brooks Theorem ChromaticPolynomials. Plane and planer Graphs Dual graphs Euler s Formula The Five

Colour Theorem and the Four-Colour Conjecture-Directed graphs.

10. Mathematical Programming and Fluid Dynamics

Convex sets-Hyperplane-Open and closed half spaces-Formulation of LinearProgramming problem Graphical solution Types of solutions Simplexprocedure method of penalty Two phase technique-special cases in simplexmethod applications Duality Economic Interpretation of duality- Dual Simplexmethod Generalised simplex Tableau in Matrix Form Efficient Computational

algorithm

Transportation and Assignment problems as linear programmingproblems.

Fluid Dynamics : Real fluids and Ideal fluids- Velocity of a fluid at a point, Stream

lines, path lines, steady and unsteady flows- Velocity potential The vorticity vector Local and particle rates of changes Equations of continuity- Acceleration of afluid Conditions at a rigid boundary. Pressure at a point in a fluid at rest Pressure at a point in a moving fluid -Conditions at a boundary of two inviscidimmiscible fluids Eulers equation of motion Steady motion under conservativebody forces. Sources, sinks and doublets Images in a rigid infinite plane - Axissymmetric flows Stokes stream function-Two dimensional flow The streamfunction The complex potential for two dimensional, irrotational in compressibleflow- Complex velocity potentials for standard two dimensional flows Twodimensional Image systems The Milne Thomson circle Theorem. Stresscomponents in a real fluid. Relations between Cartesian components of stress Translational motion of fluid elements The rate of strain quadric and principlestresses Some further properties of the rate of strain quadric - Stress analysis influid motion Relation between stress and rate of strain The coefficient of viscosityand Laminar flow The Navier Stokes equations of motion of a Viscous fluid.



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PHYSICS

Unit 1 : Mathematical Methods

Vector fields: Orthogonal curvilinear co-ordinate systems Expressions for gradient,divergence, curl and Laplacian- Linear vector spaces: Linear independence, basis,dimension, inner product Schwartz inequality Orthonormal basis Gram Schmidt orthogonalization process Linear operators Representation of vectorsand operators in a basis Matrix theory- Cayley-Hamilton theorem Inverse of amatrix Diagonalisation of matrices Operational methods: Laplace transforms Solution of linear differential equations with constant coefficients Fourier integral

Fourier transforms- Convolution theorems Applications Complex variables:

Analytic function Cauchy-Riemann conditions Singular points- Multivaluedfunction and branch points Cauchys integral theorem and formula Taylors andLaurentz s expansions - Residue theorem and its applications.

Unit 2 : Classical Mechanics and Relativity

Lagrangian and Hamiltonian formulations Newton s equations and conservationlaws for a system of particles D Alemberts principle and Lagranges equations of

motion Hamiltonian and Hamilton s equation of motion Application: Two-bodycentral force problem Scattering by central potential, two particle scattering Cross section in Lab system-Small oscillations- Transformation to normal

coordinates and frequencies of normal modes- Mechanics of rigid bodies: Angularmomentum and kinetic energy Moment of inertia tensor Euler angels Eulersequation of motion Torque free motion Symmetric top Wave motion Phasevelocity- Group velocity Dispersion Relativity: Special theory of relativity Lorentztransformation Addition of velocities Mass- energy equivalence.

Unit 3: Quantum Theory and its Applications

Basic principles: Wave particle duality Heisenbergs uncertainty principle Postulates of quantum mechanics- Interpretation of wave function Schordinger swave equation and its application to particle in a box- Harmonic oscillator- tunnelingthrough a barrier Motion in central field potential: Hydrogen atom angularmomentum and spherical harmonics Addition of two angular momenta

Approximate methods: Time independent perturbation theory for non-degeneratecase application to anharmonic oscillator time dependent perturbation theory Fermi s golden rule- Scattering theory: Scattering amplitude cross section Born

approximation Partial wave analysis Identical particles and spin Symmetric andantisymmetric wave functions Representation theory Coordinate and momentumrepresentations.



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Unit 4: Electromagnetic Theory

Electrostatics Laplace and Poisson equations Boundary value problems Magnetostatics Ampere s theorem-Biot- Savart law Electromagnetic induction Maxwell s equations in free space and in linear isotropic media Boundaryconditions on the fields at interfaces-Scalar and vector potentials Gauge invariance Electromagnetic waves- Reflection, refraction, dispersion, interference, diffraction

and polarization- Electrodynamics of a charged particle in electric and magneticfields Radiation from moving charges and from a dipole - Retarded potential.

Unit 5 : Thermodynamics and Statistical Mechanics

Laws of thermodynamics and their consequences Thermodynamic potentials and

Maxwell s relations

Chemical potential and phase equilibria

Phase space,microstates and macrostates- Partition function Free energy and its connection

with thermodynamic quantities Classical and quantum statistics- Degenerateelectron gas- Black body radiation and Plancks distribution law Bose Einsteincondensation Einstein and Debye models for lattice specific heat.

Unit 6 : Atomic and Molecular Physics

Quantum states of an electron in an atom Hydrogen atom spectrum Electron spin Stern-Gerlach experiment Spin - orbit coupling Fine structure Relativisticcorrection Spectroscopic terms and selection rules- Hyperfine structure- Exchangesymmetry of wave functions Paulis exclusion principle - Periodic table Alkali-typespectra LS and J J coupling Zeeman, Paschen Back and Stark effects X-raysand Auger transitions- Compton effect Principles of ESR, NMR - MolecularPhysics: Covalent, ionic and Vander Waal s interactions Rotation/vibration spectra Raman spectra Selection rules- Nuclear spin and intensity alternation Isotopiceffects Electronic states of diatomic molecules Frank Condon principle Lasers: Spontaneous and stimulated emission Optical pumping Populationinversion- Coherence (temporal and spatial) Simple description of ammonia maser co2 and He-Ne lasers.

Unit 7 : Condensed Matter Physics

Crystal classes and systems 2d and 3d lattices Bonding in common crystalstructures Reciprocal lattice Diffraction and structure factor - Elementary ideasabout point defects and dislocations Lattice vibrations Phonons Specific heat ofsolids Free electron theory Fermi statistics Heat capacity Electron motion inperiodic potential Energy bands in metals, insulators and semiconductors Tightbinding approximation Impurity level in doped semiconductors Electronictransport from classical kinetic theory Electrical and thermal conductivities Halleffect and thermoelectric power transport in semiconductors Dielectrics



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T E A C H E R S R E C R U I T M E N T B O A R D , C H E

Documents

Asst Prof Govt Eng College Syllabus