Table 4: 4th Sem, 2nd Year EEE

MA401 Mathematics IV

Theory: 100

Sessional: 50

Time: 3 hours

1.Series Solutions Marks

Power series solution of initial value problems, Power series solution using recurrence relations, singular points and the method of Frobenius, solution of Bessel’s equation and Bessel’s functions, solution of Legendre’s equation and Legendre Polynomials, orthogonal set of functions, Strum-Liouville Problem, eigen values and eigen functions of singular problems, Bessel’s functions as eigen functions of singular problem, Legendre Polynomials as eigen functions of singular problems, eigen function expansions.

2.Partial Differential Equations Marks

Basic concepts, formation of partial differential equations, equation solvable by direct integration, linear and non- linear equations of first order. Homogenous linear equations with constant coefficients, solutions of heat equations, wave equations, transmission line equations and Laplace equations.

3.Tensor Analysis Marks

Curvilinear coordinates, unit vectors in curvilinear system, representation of as vector F in terms of unit base vectors, contravariant and covariant components of F, arc length and volume element in orthogonal curvilinear coordinates. Transformations of coordinates, Definition of tensors, fundamental operations with tensors, Symmetric and skew- Symmetric tensors, Riemannian space and metric tensor, Conjugate tensor, Christoffel symbols.

4.Calculus of Complex Variables Marks

Analytic functions, C-R equations, conjugate functions, Harmonic functions, orthogonal Systems, Formation of analytic functions, conformal mapping, integration of a complex functions, Cauchy’s Integral Theorem, power series representation of complex functions, Laurent’s Series, singularities, Residue Theorem.

5.Z-Transform 10 Marks

Definition, properties, Z-transform of some basic sequences, Z-transforms of some basic discrete functions, Shifting theorems.

Text books and References:

·Advanced Engg. Maths, E. Kreyszig. Wiley Eastern Ltd.

·Advanced Engg. Maths, Peter V. O. Neil. Thomson Books.

·A Text Book on Engg. Maths, Bali, Tyenger. Laxmi Publishers.

·Higher Engg. Maths, B.S. Grewal. Khanna Publishers.

·Linear Algebra and it’s Applications, Gilbert Strang. Thomson Books.

·Calculus, James Stewart. Thomson Books.

·Laplace Transform, Spiegel. Thomson Books.

·Elements of Partial Differential Equations, I. M. Snedon. S. Chand and Co.

·Text book of Vector Calculus by Shanti Narayan, S. Chand and Co.

·Function of Complex Variables by Shanti Narayan, S. Chand and Co.


Sociology and Accountancy

Theory: 50 + 50


Time: 3 hours

Part A, Sociology and Industrial Relations

·Concept of the state. Origin and development of the state, the individual and the state.

·Social instructions and social groups. Non-government Organizations and Panchayati Raj Institutions, local communities and alternate group characteristics, functions and purposes;

·Social structure. Social differentiation; Role status, Power and authority; social order and social problems.

·Social change: Meaning and nature of social change; factors affecting social change; Technology and social change; Social and economic displacement. Labour and Labour relations, Organized and unorganaised labour; Problems associated with labour. Absentism, labour turnover, displacement and obsolescence.

·Human resources: Meaning and development; Relations with industrial and economic needs, Industrial productivity. Worker's participation in Management.

·Man power planning: definition and objectives, Characteristics of man power planning. Man power demand and supply forecasting.

·Industrial disputes-settlement of industrial disputes, Trade unionism in India. Labour legislation in India- Indian Factories Act, 1948, Payment of Wages Act, 1936. workmens Compensation Act, 1923.

·Social security: concept of social security. Provision of social security in India.

Recommended Readings:

·Rao, C.N. Sankara, Sociology

·Sarma, R.N, Principles of Sociology.

·Mukherjee, R.K, Indian Working Class.

·Saxena, R.N, Labour Problems and Social Welfare

Part B. Accountancy

·Dual aspects of Accounts, classification of Accounts, cardinal rules for Debit and credit, Journal, Ledger, Balancing of account

·Subsidiary Books, types of Cashbook, Imprest, Petty cash book, Bank reconciliation statement.

·Trial balance; Trading and Manufacturing account; Profit and Loss account; balance sheet with adjustments.

·Concepts of Capital expenditure and Revenue expenditure; Bad dedt and doubtful debt, Reverse capital and liabilities; Outstanding expenses; Prepaid expenses, Marshalling of Balance sheet, Liquidity and Profitability of assets.

·Cost accounting- concepts, benefits and distinction between cost accounting and financial accounting- various elements of cost, cost sheet, overhead cost, Job and process costing.

·Depreciation- concept and importance. Methods of charging depreciation on fixed assets used in industries


·Shukia, M.C., Grewal T.S., and Gupta .: Advanced Accounts; S. Chand & Co New Delhi

·Agarwala, A. N, Agarwala K.N: Higher Sciences of Accountancy: Kitab Mahal, Allahabad

·Rajpurohit B.S., Bissa and others: Financial Accounting.

·Cost Accounts-M.C Saikia


Communication Skills

Theory: 50

Time: 3 hours

·Group discussion: aspects, preparation, facing group discussions

·Communication: Aspects, Issues and Vitals.

·Body Language: Studying body language, its orientation.

·The art of listening: Active listening, hearing and listening; good listening, Barriers to listening.

·Negotiation: The act of negotiation. Truths about negotiation; hurdles in negotiation.

Textbooks & references

·Essentials of Business Communication By Pal and Rorualling. S. Chand & sons

·The Essence of Effective Communication By Ludlow and Panthon, PHI

IE 651 Electrical Machines

Theory: 100

Sessional: 50

Time: 3 hours

1.D.C. Machines

Constructional features and principles of operation. Shunt, series and compound generators and motors. Performance characteristics. Starting, speed control and braking of motors. Choice of d.c. motors for different applications.


Constructional features and principle of operation. Equivalent circuit.

3.Induction Motors

Principle of operation of 3phase induction motor. Equivalent circuit and circle diagram. Torque- speed characteristics. Methods of starting speed control and braking. Single phase motors- methods of starting.

4.Synchronous Generators and Motors

Principle of operation and simple equivalent circuit of a synchronous generator. Parallel operation and synchronization of generators. Synchronous motor- methods of starting.

5.Application of A.C. motors in industries

Typical application of A.C. motors in industry.

Text Books/references

·A.S. Langsdorf- Theory of Alternating Current Machines.

·H.Cotton- Electrical Technology.


Signals and Systems

Theory: 100 marks

Sessional: 50 marks

Lab: 50 marks

Time: 3 hrs


Definitions, continuous and discrete-time signals. Systems and their classifications.

2.LTI systems

Continuous-time LTI systems - the convolution integral. Discrete time LTI systems – the convolution su m. Properties of LTI systems. Systems described by differential and difference equations.

3.Fourier analysis of continuous time case

Response of LTI systems to complex exponential waveforms, Representations of periodic signals by the Fourier series, Representation of periodic signals by Fourier transforms, Properties of Fourier transform, System analysis by Fourier transforms.

4.Fourier analysis of discrete time case

Response of LTI systems to complex exponential waveforms, Discrete time Fourier series discrete time Fourier transform and their properties, Analysis of systems.


The sampling theorem Effects of undersampling. Spectrum of sampled signal.

6.Laplace transform

Definition and properties Methods of inversion. Application to LTI system analysis.

7.Z – transform

Definition. The region of convergence. Properties of z-transform. Inversion of Ztransforms. Application to system analysis.

8.Random signals and systems

Random variables. Distribution and density functions. Statistical averages. Different probability distribution models. Random processes. Ensemble averages and correlation. Stationary and ergodic processes. Spectral density and its correlation functions response to linear random inputs.


·M. J. Roberts, "Fundamentals of Signals and Systems", Tata McGraw Hill, 7.


·A.V. Oppenheim, A.S. Willsky and H.S. Nawab, "Signals and Systems", Prentice Hall of India

·B. P. Lathi,"Signal Processing and Linear Systems", Oxford University Press, 1998

·R.F. Ziemer, W.H. Tranter and D.R. Fannin, "Signals and Systems - Continuous and Discrete", 4/e, Prentice Hall, 1998

·Simon Haykin, Barry van Veen, "Signals and Systems", John Wiley and Sons, 1998.

EEE401 Microprocessor and Microcontrollers

Theory: 100 marks

Sessional: 50 marks

Lab: 50 marks

Time: 3 hrs

1.Introduction to Computer Architecture and Organization

Architecture of 8-bit microprocessors, bus configurations, CPU module, introduction to assembly language and machine language programming, instruction set of a typical 8-bit microprocessor, subroutines and stacks, programming exercises.

2.Memory Technology

Timing diagrams, RAM, DRAM and ROM families, memory interfacing, programmable peripheral interface chips, interfacing of input-output ports, programmable interval timer. Memory map, peripheral I/O and memory- mapped I/O.

3.Data Transfer Schemes

Serial and parallel data transfer schemes, interrupts and interrupt service procedure. 8085 interrupts and vector locations, SIM and RIM instructions, RST instructions.

4.Introduction To Microcontrollers

Architecture, RISC and CISC processors.

5.Instruction Set and Programming

Instruction set and programming 8051 microcontrollers.

6.Instruction Set and Programming

Instruction set and programming of 8 bit micro controllers AVR

7.Development Tools

Simulators, debuggers, cross compilers, in circuit emulators for the micro controllers.

8.Interface Issues Related to Embedded Systems

A/D, D/A converters, timers, actuators, power, FPGA, ASIC, diagnostic port.

Text Books/ References

·R. K. Gaonkar, “Microprocessor Architecture, Progra mming and Applications with the 8085”, Penram International Publishing (India), 0.

·Mazidi M. A. & J. G. Mazidi - The 8051 Microcontroller and embedded systems, Pearson, 2.

· Kenneth J Ayala, The 8051 Microcontroller architecture programming and applications, Edition, Penram International publishing.

·Hintz – Micro controllers, Architecture, implementa tion and programming, McGraw Hill.

·Dhananjay Gadre, Programming and Customizing the AVR Microcontroller, Tata Mcgraw Hill, 3

EEE 402 Numerical methods

Theory: 100 marks

Sessional: 50 marks

Time: 3 hrs


Introduction, Floating point representation of numbers and floating point arithmetic, computational errors, Relative and absolute errors, Error propagation, Iterative processes- convergence and acceleration.


The Basic Root-finding Procedure, Fixed-point Iteration, Convergence of Fixed-point Iteration,Bisection, Analysis of the Bisection Method, Convergence Criteria, A General Implementation of Bisection, Newton’s Method, Convergence of Newton’s Method, A General Implementation of Newton’s Method, The Secant Method, Hybrid Methods, Roots of Polynomials


Basic Concepts, Matrix Formulation, Requirements for a Solution, Gaussian Elimination, Solving Diagonal Systems, Solving Triangular Systems, Gaussian Elimination without Pivoting, Gaussian Elimination with Pivoting, Limitations on Numerical Solutions to Ax = b, Sensitivity to Inputs, Computational Stability, N—R method for non-l inear system of equations


Interpolation versus Curve Fitting, Interpolation and Extrapolation, Interpolating Polynomials of Arbitrary Degree, Polynomial Interpolation with a Monomial Basis, Polynomial Interpolation with a Lagrange Basis, Piecewise Polynomial Interpolation, Piecewise-Linear Interpolation, Searching for Support Points, Piecewise-Cubic Hermite Interpolation, Cubic Spline Interpolation


Differentiation by polynomial fit, errors in numerical differentiation, numerical integration—Trapezoi dal rule, Simpson’s rule, Romberg method.


Ordinary Differential Equations, Euler’s Method,Implementation of Euler’s Method, Analysis of Euler’s Method, Generalization: One-Step Methods, Higher Order One-step Methods, Midpoint Method, Fourth-order Runge–K utta Method, Adaptive Stepsize Algorithms, Coupled ODEs


·Numerical Methods with MATLAB: Implementations and Applications, Gerald Recktenwald, Prentice Hall

·Applied Numerical Methods with MATLAB for Engineers and Scientists (SIE), Jun-07 , Steven Chapra

·V Rajaraman, Computer Oriented Numerical Methods,


·Balaguruwamy, Numerical Methods, MGH (India)

·Hildebrand, Introduction to Numerical Analysis, Dover

·Rao, Numerical Methods for Scientists & Engineers, PHI

·Sankara RA, Numerical Methods for Scientists & Engineers, PHI

·Scarboro, Numerical Mathematical Analysis, Oxford & IBH

·Scheid, Numerical analysis, Tata Mcgraw

**Note: Stress should be given on developing algorithms for the numerical methods. Sessional and laboratory work should consist of writing computer programs using these algorithms and running them on the computer.


Electrical Machines I Lab

ET465L Signals and Systems Lab (Matlab/Octave)

·Generation of Sine signals of specified frequency and sampling rates and study of aliasing effects

·Generation of square waves and triangular waves etc. and their frequency analysis

·Finding the impulse response of systems by difference equation method and convolution

·Use of functions for random processes generation like gaussian, poisson etc

·Finding Z-transform of functions on the Unit circle and at other points

·Use of fft to view spectrum

·Use of commands related to Laplace transform, pole zero plot

EEE401L Microprocessor And Microcontrollers lab

·Assembly language programming of 8085: a) sorting and code conversion, b) matrix multiplication; 8085 interfacing: a) parallel port interface (square wave generation), b) counter and timer interface (polling and using interrupts); ADC/DAC interfacing with 8085,

·Familiarization with microcontroller development environment, assembler, compiler, simulator, debugger and JTAG;

·Experiments on simple I/O, registers and memory usage;

·Experiments on waveform generation, switch based I/O, polled and interrupt I/O, finite state machine for embedded systems (switch debounce filter, elevator, sequence detector etc).

·Experiments are to be performed on microcontroller kit.