L: 3 
MA 401 Mathematics IV 

T: 1 
Theory: 100 marks 

P: 0 
Sessional: 50 marks 


Time: 3 hours 




Unit 1: Series Solutions 
25 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,
Unit 2: Partial Differential Equations 
25 Marks 
Basic concepts, formation of partial differential equations, equation solvable by direct integration, linear and
Unit 3: Tensor Analysis 
20 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
Unit 4: Calculus of Complex Variables 
20 Marks 
Analytic functions,
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.
Unit 5: 
10 Marks 
Definition, properties,
Text books and References:
1.Advanced Engg. Maths, E. Kreyszig. Wiley Eastern Ltd.
2.Advanced Engg. Maths, Peter V. O. Neil. Thomson Books.
3.A Text Book on Engg. Maths, Bali, Tyenger. Laxmi Publishers.
4.Higher Engg. Maths, B.S. Grewal. Khanna Publishers.
5.Linear Algebra and it’s Applications, Gilbert Strang. Thomson Books.
6.Calculus, James Stewart. Thomson Books.
7.Laplace Transform, Spiegel. Thomson Books.
8.Elements of Partial Differential Equations, I. M. Snedon. S. Chand and Co.
9.Text book of Vector Calculus by Shanti Narayan, S. Chand and Co.
10.Function of Complex Variables by Shanti Narayan, S. Chand and Co.
L: 3 
HU 402 Sociology and Accountancy 
T: 1 
Theory: (50+50) marks 
P: 0 
Sessional: (25+25) marks 

Time: 3 hours 


Part A, Sociology and Industrial Relations
1.Concept of the state. Origin and development of the state, the individual and the state.
2.Social instructions and social groups.
3.Social structure. Social differentiation; Role status, Power and authority; social order and social problems.
4.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.
5.Human resources: Meaning and development; Relations with industrial and economic needs, Industrial productivity. Worker's participation in Management.
6.Man power planning: definition and objectives, Characteristics of man power planning. Man power demand and supply forecasting.
7.Industrial
8.Social security: concept of social security. Provision of social security in India.
Recommended Readings:
1.Rao, C.N. Sankara, Sociology
2.Sarma, R.N, Principles of Sociology.
3.Mukherjee, R.K, Indian Working Class.
4.Saxena, R.N, Labour Problems and Social Welfare
Part B. Accountancy
1.Dual aspects of Accounts, classification of Accounts, cardinal rules for Debit and credit, Journal, Ledger, Balancing of account
2.Subsidiary Books, types of Cashbook, Imprest, Petty cash book, Bank reconciliation statement.
3.Trial balance; Trading and Manufacturing account; Profit and Loss account; balance sheet with adjustments.
4.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.
5.Cost accounting concepts, benefits and distinction between cost accounting and financial accounting various elements of cost, cost sheet, overhead cost, Job and process costing.
6.Depreciation concept and importance. Methods of charging depreciation on fixed assets used in industries
Books
1.Shukia, M.C., Grewal T.S., and Gupta .: Advanced Accounts; S. Chand & Co New Delhi
2.Agarwala, A. N, Agarwala K.N: Higher Sciences of Accountancy: Kitab Mahal, Allahabad
3.Rajpurohit B.S., Bissa and others: Financial Accounting.
4.Cost
L: 3 
HU 403 Communication Skills 
T: 1 
Theory: 50 marks 
P: 0 
Sessional: 25 marks 

Time: 3 hours 


1.Group discussion: aspects, preparation, facing group discussions
2.Communication: Aspects, Issues and Vitals.
3.Body Language: Studying body language, its orientation.
4.The art of listening: Active listening, hearing and listening; good listening, Barriers to listening.
5.Negotiation: The act of negotiation. Truths about negotiation; hurdles in negotiation.
Textbooks & references
1.Essentials of Business Communication By Pal and Rorualling. S. Chand & sons
2.The Essence of Effective Communication By Ludlow and Panthon, PHI
L: 3 
ET 464 Electronic Circuits 
T: 1 
Theory: 100 marks 
P: 3 
Sessional: 50 marks 

Practical: 50 marks 

Time: 3 hours 


Bipolar amplifiers
Basic
Hybrid π smallsignalequivalent circuit
Computation of input resistance, output resistance and gain of amplifiers at low to high frequencies. High frequency response. Simulation on SPICE. Some idea about time domain response and determining of transient response on SPICE.
Compound Configurations
Study of the differential pair, current sources, voltage sources, the Darlington and Cascode connections. Large signal output stages. Application of
Feedback amplifiers
Basic
compensation.
Oscillators
Principles. The Hartley, Colpitt, Wien bridge and phase shift oscillators. Determination of frequency of oscillation and criteria for oscillations to occur.
Text Books/references:
1.P.E. Gray and Campbell L.Searle Electronic Principles. Published by McGraw Hill Book Company.
2.Paul R. Gray and R.G.Mayer Analog Integrated Circuits Published by John Wiley and Sons, international edition.
3.Handouts to be supplied by the instructor.
L: 3 
ET 465 Signals and Systems 
T: 1 
Theory: 100 marks 
P: 3 
Sessional: 50 marks 

Practical: 50 marks 

Time: 3 hours 


Introduction
Definitions, continuous and
LTI systems
Fourier analysis of continuous time case
Response of LTI
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.
Sampling
The sampling theorem Effects of undersampling. Spectrum of sampled signal.
Laplace transform
Definition and properties Methods of inversion. Application to LTI system analysis.
Z – transform
Definition. The region of convergence. Properties of
Random signals and systems
Random variabies. Distribution and density functions. Statisticai averages. Different probabi'ity distribution models. Random processes. Ensemble averages and correlation. Stationary and ergodic processes. Spectral density and its correlation functions Response of linear random inputs.
L: 3 
ET 466 Network 
T: 1 
Theory: 100 marks 
P: 0 
Sessional: 50 marks 

Time: 3 hours 


Network Topology
Graph of a network: Planar and
Network Functions
Network functions of
Network Synthesis
Elements of realizability theory. Hurwitz polynomial. Positive real functions. Basic technique used in syntheses of networks. Synthesis of one port network with two kinds of
Transmission Lines
Lumped and distributed models. π and T models. Generalized equation of a transmission line at audio and radio frequencies. Characteristic impedance and propagation constant. Group velocity and phase velocity. Distortion less lines. Reflection and transmission coefficient. Standing wave and standing wave ratio. Line impedance and admittance. Smith chart.
Filter Theory
Filter fundamentals. Low pass, high pass, band pass filters. Pass and stop bands. K and M derived topology. Butterworth and Chebyshev approximations. The
Attenuators & equalizers
Symmetrical and asymmetrical attenuators. T types, π type and lattice type attenuators.
Two and four terminal equalizers, Full series, Full shunt, Bridged T and lattice equalizers.
Text Books/references:
1.W.H.Hyatt and
2.
3.Smrajit Ghosh Network Theory. Analysis and Synthesis(PHI).
L: 3 
Electrical Machines 
T: 1 
Theory: 100 marks 
P: 3 
Sessional: 50 marks 

Practical: 50 marks 

Time: 3 hours 


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.
Transformers
Constructional features and principle of operation. Equivalent circuit.
Induction Motors
Principle of operation of 3Φ induction motor. Equivalent circuit and circle diagram.
Torque speed characteristics. Methods of starting speed control and braking. Single phase motors methods of starting.
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 stating.
Application of A.C. motors in industries
Typical application of A.C. motors in industry.
Text Books/references:
1.A.S. Langsdorf Theory of Alternating Current Machines.
2.H.Cotton Electrical Technology.