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, 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.

Unit 2: Partial Differential Equations

25 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.

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 skew-Symmetric tensors, Riemannian space and metric tensor, Conjugate tensor, Christoffel symbols.

Unit 4: Calculus of Complex Variables

20 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.

Unit 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:

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. Non-government Organizations and Panchayati Raj Institutions, local communities and alternate group characteristics, functions and purposes;

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 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.

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 Accounts-M.C Saikia

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 circuit-common base, common emitter and common collector topology. Biasing of single stage amplifiers- single power supply and bipolar power supply. Multiple stage amplifiers biasing schemes with emphasis on direct coupling. NPN and PNP connections. Hand calculation of bias current and voltages. Simulation of such circuits on SPICE.

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 Op-Amps.

Feedback amplifiers

Basic principles-advantages. Frequency response and stability of feedback amplifiers. Frequency

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 discrete-time signals. Systems and their classifications.

LTI systems

Continuours-time LTI systems - the convolution integral. Discrete time LTI systems – the convolution sum. Properties of LTI systems. Systems described by differential and difference equations.

Fourier analysis of continuous time case

Response of LTI systerr-ss to complex exponential waveforms. Representations of periodic signals by the Fourier series. Representation of periodic signals by Fourier transforms. Properties of Fourier transforms. System analysis by Fourier transforms.

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 z-transform. Inversion of Z- transforms. Application to system analysis.

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 Theory-II

T: 1

Theory: 100 marks

P: 0

Sessional: 50 marks

 

Time: 3 hours

 

 

Network Topology

Graph of a network: Planar and non-planer graph, concept of incidence matrix, path, tree, circuits, fundamental circuits, cut-set, fundamental cut-set tie-set schedule. Introduction to equation formulation.

Network Functions

Network functions of two-port networks. Driving point impedances and admittances. Poles and Zeros- their significance. Determination of time domain behavior from pole-zero plots. Frequency characteristics of networks from network functions. Magnitude and phase plots.

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 elements-LC, RC or RL.

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 Op-Amp as a basic circuit block. Active filters and some ideas about switched capacitor filters.

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 J.E.Kemmerly-Engineering Circuit Analysis. McGraw-Hill.

2.J.A.Edminister-Electrical Circuits. McGraw-Hill Schaum series.

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.

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