# VNIT EEE Syllabus III SEM

**3EE01 Mathematics – III**

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Defination of Laplace Transforms and its properties, Laplace Transform of derivatives and integrals, evaluation of integrals by Laplace Transforms, Inverse Laplace Transforms, convolution theorem, Laplace Transforms of periodic functions, unit step function and dirac delta function, Applications of Laplace Transform to solve ordinary differential equations and partial differential equations – one dimensional wave and diffusion equations.

Partial differential equation of first degree i.e. Lagrange’s form, linear, homogeneous partial differential of n^{th} order with constant coefficient, method of separation of variables, applications to transmission lines.

Ordinary differential Equation of higher order, Solution of ordinary differential equations of higher order, Frobenius method. Bessel’s and Legendre’s, equation and some applications.

Introduction to Functionals, Maxima & Minima of functionals, variation and its properties, Euler’s equation, functionals dependent on first and second order derivatives, simple applications.

Numeric methods for Solution of linear, linear algebraic and transcendental equations, method a false position, Newton-Raphson method, system of linear equations, Gauss elimination method, Gauss Seidel method, Crout’s method.

Numerical solution of ordinary differential equations by Taylor’s series method, Euler’s and Modified Euler method, Predictor corrector method, Runge Kutta method, solution of simultaneous differential equations.

**Text /Reference Books :**

1. E. ; Advanced Engineering Mathematics(Eighth Edition) ; John Wiley & Sons ; 2000.

2. Grewal, B.S ; Higher Engineering mathematics(Thirty eighth Edition) ;Khanna Publishers ; 2004.

3. Grewal, B.S ;Numerical Methods in Engineering and Science(Sixth Edition) ; Khanna Publishers; 2002.

4. Sastry, S.S ; Introductory methods of Numerical Analysis (Third Edition) ; Prentice Hall of India ; 1998.

**3EE02 Computer Programming**

** **Introduction to computer hardware and software, Functions of operating systems, Working with Windows and Unix operating systems, Computer networks: categories, topologies for LAN, network media and hardware.

C Programming Language: constants, variable names, data types, arithmetic/ relational / logical / assignment operators and expressions, conditional expressions, precedence and order of evaluation, console I/O functions.

Program control statements: Decision making constructs: if-else, else-if and switch, Loops: while, for and do-while, break and continue, goto and labels, Basics of functions, Recursion, Storage classes of variables, Header files, the C preprocessor

Arrays: single and multidimensional arrays, initialization, searching and sorting methods, Strings, arrays of strings, Standard library string functions, Pointers, pointers to pointers, pointers and arrays, pointers and functions, array of pointers, Dynamic memory allocation.

Structures: Basics of structures, structures and functions, arrays of structures, pointers to structures, Typedef, Unions, File management: file types, file handling functions, Error handling. Graphics programming, Concept of linked list and basic list operations. Introduction to ‘C++’ concepts.

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**Text/Reference books:**

1. Kernighan, B.W., Ritchie, D.M.;The C Programming Language(Second Edition); Prentice Hall of India, 1998.

2. Balguruswami, E.; Programming in ANSI C; Tata McGraw Hill,2001.

3. Kakde, O.G., Deshpande, P.S.; A text book on programming language C & C++.

4. Kanetkar, Y.P.; Let us C; BPB Publications, 2003.

**3EE03 Network Theory**

**Node and Mesh Analysis:** Node and mesh equation, matrix approach of complicated network containing voltage and current sources, and reactances, source transformation and duality.

**Network theorem:** Superposition, reciprocity, Thevenin’s, Nortons, Maximum power Transfer, compensation and Tallegen’s theorem as applied to AC. circuits.

**Trigonometric and exponential Fourier series:** Discrete spectra and symmetry of waveform, steady state response of a network to non-sinusoidal periodic inputs, power factor , effective values, Fourier transform and continuous spectra, three phase unbalance circuit and power calculation.

**Laplace transforms and properties:** Partial fraction, singularity functions, waveform synthesis, analysis of RC, RL, and RLC networks with and without initial conditions with laplace transforms evaluation of initial conditions.

Trasient behaviour, concept of complex frequency, Driving points and transfer functions poles and zeros of immittance function, their properties, sinusoidal response from pole-zero locations, convolution theorem and integral solutions.

**Text /Reference Books:**

1. Van, valkenburg.; Network analysis ; Prentice hall of India, 2000

2. Sudhakar, A.,Shyammohan, S. P.; Circuits and Network ; Tata Mcgraw-Hill ; NewDelhi1994.

**3EE04 Electronic Devices & Circuits (EDC) **

Semiconductor physics, P & N type semiconductors, Diodes and Power Supplies Theory of P-N junction diode, Junction capacitance, Characteristics & applications of following diodes, Zener , Schottkey , Photodiode, LED’s, LCD, Varacter diode & Tunnel diode.

Power supplies, Halfwave & Fullwave , Rectifiers, Filters, ripple-factor, Zener & Emitter follower type regulators.

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Junction Transistors

Theory of operation, Static characteristics , Break down voltages, Current voltage power limitations, Biasing of BJT different biasing arrangements, Stability factor, Thermal runaway, Power transistors.

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Small Signal Analysis & High frequency analysis of BJT.

CE, CB, CC amplifiers and Comparison,. High frequency analysis calculation of frequency response, gain bandwidth product.

Power Amplifiers

Classification A,B, AB, C classes, efficiency, Push Pull configuration. Complimentary symmetry, Second harmonic & cross over distortion.

Positive And Negative Feedback Amplifiers

Feedback amplifiers, Classification, Practical Circuits, Applications , Advantages.

Oscillators, Stability, Barkhausen criteria RC, LC & Crystal Oscillators.

Field Effect Transistors

Field effect transistor & MOSFET, Principle of operation & characteristic, biasing

Arrangement. Small Signal analysis of CG, CD & CS, High frequency analysis.

Practicals will be based on above syllabus.

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**Text / Reference Books:**

1. Milman and Halkias ; Integrated Electronics ; McGraw Hill.

2. Boylestad and Nashelsky ; Electronic Devices & Circuit theory.; PHI

3. Schilling & Belove : Electronic Circuits – Discrete and Integrated; McGraw Hill.

4. Bapat ; Theory & problem in Ckt. analysis ; McGraw Hill

5. Carr ; Electronic Devices; Tata McGraw Hill

6. Nagrath, I.J; Electronics – Analog and Digital; PHI

**3EE05** **Elements of Electromagnetics**

Vector algebra ,Cartesian, Cylindrical and Spherical co-ordinate system. Transformation of variables from Cartesian to cylindrical and spherical coordinate system and vice-versa.

Coulomb’s law, Electric field intensity, Field of ‘n’ point charges, Field of line and sheet of charge. Electric flux density, Gauss’s law and it’s applications. Divergence and Divergence theorem.

Definition of potential difference and potential, Potential of point charge and system of charges. Potential gradient, Energy density in electrostatic field. Poisson’s and Laplace’s equations. Current and current density, Continuity of current. Capacitance.

Biot-Savart and Amperes circuital laws and their applications ,Curl, Stoke’s theorem. Magnetic flux density, Scalar and Vector magnetic potential. Maxwell’s equations in steady electric and magnetic fields.

Force on moving charge and differential current element, Force and torque on a closed circuit. Time varying fields and Maxwell’s equations.

Uniform plane waves, wave motion in free space, perfect dielectric, lossy dielectric and good conductor, skin effect .Poynting vector and power considerations. Reflection of uniform plane waves, Standing ratio.

**Text/Reference Books:**

1. Hayt, W.H.; Engineering Electromagnetics; Sixth Edition; Tata McGraw Hil;2002

2. Narayan Rao; Engineering Electromagnetics; Prentice Hall of India;2002

3. Mathew, N.O., Sadiku ; Elements of Electromagnetics ; Third Edition ; Oxford University Press 2003

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