Table 3: Third Semester, 2nd Year

MA301 Mathematics III

Theory: 100 marks Sessional: 50 marks Time: 3 hrs

Unit I: Linear Algebra 40 Marks

Some special type of matrices like Symmetric and skew-Symmetric, Hermitian and skew- Hermitian, Idempotent, Nilpotent, Involuntary, Orthogonal, Unitary and their properties. Triangular and Echelon form. Pivote elements, Trace, Differentiation and Integration of matrices. Inverse of a matrix. Theorems on inverse, elementary operations and elementary matrices, equivalent matrices, computation of inverse by elementary transformation. Reduction of matrices to triangular form and normal form. Inverse by partitioning. Rank of a matrix, evaluation of rank, theorems on rank. Vector spaces and subspaces, linear independence, basis and dimension, row space, column space, null space, left null space, row rank, column rank, equality of row and rank of a matrix. Solution of a system of non-homogenous linear equations, solution of system of homogenous linear equations. Consistency of a system of linear equations. Orthogonality, inner products, orthogonal vectors, orthogonal matrices, Gram-Schmidt Orthogonalization.

Unit 2: Statistics 40 Marks

Probability, probability distributions and characteristics. Dispersion, skewness and kurtosis, random experiments and sample space. Definition of probability. Laws of probability, Baye’s theorem, random variables. Probability distributions of a distcrete random variable, Mean and Variance of a discrete random variable. Probability distribution of a continuous random variable. Expectation and moments. Binomial distribution, Poisson’s distribution and Normal distribution. Elementary sampling theory. Sampling with and without replacement. Sampling distribution of mean proportion, sum and difference. Central limit theorem. Statistical estimate theory. Biased and un-biased estimates, efficient estimate, point and interval estimates. Confidence limits for the estimates of mean, proportion, difference and sum.

Statistical decision theory. Statistical hypothesis. Null hypothesis. Test of significance involving normal distribution.

Unit 3: Laplace-Transformation 20 Marks

Laplace transformation of elementary functions, inverse Laplace transform, Linearity, Laplace transform of derivatives and integrals, shifting Theorems, Laplace transform of unit step function, Dirac-delta function, Differentiation and integration of transforms, convolution, Application to differential equations.

Texts/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.Linear Algebra, K. H. Hoffmaan. Prantice Hall.

7.Probability, Statistics & Queuing Theory, P. Kandasamy, K. Thilagavathi & K. Gunavathi. S. Chand.

8.Introduction to Probability & Statics, P. L. Meyer. Addison-Wesley.

EE 345 Electrical Engineering Materials

Theory: 100

Sessional: 50

Time: 3 hours

1.Structure of solids

Crystalline state of solids, systems and classes, Unit cell and space lattice, BCC, DC structure, Bragg’s Law, Miller indices, Crystal imperfections, Grain boundaries

2.Dielectrics

(i)Properties of static field: Static dielectric constant , polarization , dielectric constant of monoatomic gases and polyatomic molecules, internal fields in solids and liquids, ferro electric materials, spontaneous polarization, piezo electricity. (ii) Properties in alternating fields: Frequency dependence of electronic, ionic, polarizability, complex dielectric constant, dielectric loss, dipolar relaxation, break down in dielectrics. General properties of common dieletrics( Electrical, Mechanical, Chemical and Thermal). Gaseous dielectrics, liquid insulating materials, solid insulating materials, films.

3.Magnetic properties of materials

Magnetization, Origin of permanent magnetic dipole movement, classification of magnetic materials, Dia, para, ferro, antiferro and ferri magnetism, magnetic anisotropy, magnetostriction soft and hard magnetic materials for electrical applications.

4.Conductors

Electron gas model of a metal , Relaxation time, collision time, mean free path, electron scattering and resistivity, heating effect of current, thermal conductivity, superconductivity, electrical conducting materials(Cu, Al) and their application. Mechanical properties like corrosion, solid crability, contact resistance.

5.Semiconductor

Density of carriers and intrinsic semiconductor and in N-type and P-type semiconductor, conductivity, Hall effect, drift and diffusion current, Einstein Relation.

Books:

·Electrical engineering material by Dekker A. J(PHI)

·A course in Electrical engineering material by Seth and Gupta

ET 363 Network Theory-I

Theory: 100

Sessional: 50

Time: 3 hours

1.Ohm’s law and Kirchoff’s laws

Application of the laws to circuit analysis; Mesh and Nodal method for formulation of network equations; Matrix methods of solving loop and node equations.

2.Sinusoidal Voltages and Currents

Representation in frequency domain; The phasor concept; Impedance, Admittance and their phasor diagram, Steady state response.

3.Network Theorems

Star and Delta conversion, Thevenin’s and Norton’s Theorem, Superposition and Maximum power transfer Theorem, Compensation Theorem, Reciprocity Theorem, Telegan’s Theorem.

4.Fourier Analysis of Periodic Waveforms

Trigonometric and exponential series, Line spectrum, Analysis of common waveforms, Symmetry, R.M.S. value.

5.Two port Network

General principles; Z,Y and hybrid parameters, ABCD parameters, Network in tandem.

6.Transient Phenomena

Forcing functions--- impulse, step and ramp waveforms, solution of simple circuits using Laplace Theorem.

7.Coupled Circuits

Resonance- Series and parallel; Q factor; Analytical procedure for solving coupled circuits, Mutual Inductance, Co efficient of coupling; single tuned and double tuned circuits, Effects of over coupling and selectivity curves; Ideal transformer.

Texts

·M Nahvi, Joseph Edminister, K Rao, Electric Circuits, Schaum's Series, 2005,Tata McGraw Hill,

·Van Valkenburg, Network Analysis, 2007, PHI

·William Hayt,Jack Kemmerly,Steven Durbin, Engineering Circuits Analysis, 2005

CS 372 Advanced Computing

Theory: 100

Sessional: 50

Time: 3 hours

1.Concepts of Pointers

Pointer types- their uses - dynamic memory allocation techniques - garbage collection - singly linked list - generic pointers.

2.Files

Files, opening- closing reading and writing- File attributes, File management

3.Basics of Object Oriented Programming(OOP)

Introduction to OOP- difference between OOP and procedure oriented programming – Classes, Objects and Methods – Overview of Inheritance and Polymorphism.

4.Object Oriented Design

Trends in software design- Notation of objects- Hybrid design method- Separation of responsibilities – Responsibility driven design- design phases and tools- step by step design – Grady Booch approach .

5.Data abstraction

Class definition – Control access to other function s – Different types of constructors – Destructors – Objects and classes – Dynamic creations and destructions of obj ects.

6.Inheritance

Derived classes – Syntax of derived classes – acces s to the base class – overloading inherited member functions – Multiple inheritance – Virtual base class virtual f unction and Polymorphism: Static and dynamic bindings – Virtual functions.

7.Polymorphism

Overloading functions and operators- Run time polymorphism – Overloading new and delete operators .

8.Generic classes in C++/JAVA

Necessities of templates – Generic class using Macr os – Class templates – Function templates – Advance templates. Exception Handing in C++. Benefits of exception handling – Troubles with standard C functions(setjmp a md long jmp) – Proposed Exception handling mechanism for C+ +.

Text Books and References:

·Object Oriented Programming by Barkataki, PHI

·Object Oriented Programming with C++ by E. Balaguruswamy, TMH.

·Object Oriented Programming in Turbo C++ by R. Lafore, Galgotia, New Delhi

·Object Oriented Analysis and Design with applications by Grady Booch, Benjamin/Cummings Publishing.

·Thinking in C- including Object Oriented Programming with C++ by P.B. Mahapatra, Wheeler Publishing

EEE 301

Electronic Devices & Circuits

Theory: 100 marks

Sessional: 50 marks

Lab: 50 marks

Time: 3 hrs

Energy bands; semiconductors; charge carriers: electrons and holes, effective mass, doping. Carrier concentration: Fermi level, temperature dependence of carrier concentration. Drift and diffusion of carriers: excess carriers; recombination and life time, Five equations of carrier transport. p-n Junction: depletion region, forward and reverse- bias, depletion and diffusion capacitances, switching characteristics; breakdown mechanisms; SPICE model. BJT: carrier distribution; current gain, transit time, secondary effects; SPICE model. Metal-semiconductor junctions: rectifying and ohmic contacts. MOSFET: MOS capacitor; Cv-Iv characteristics; threshold voltage; SPICE model. Single stage amplifiers: CE-CB-CC and CG-CD-CS modes of operation, large signal transfer characteristics of BJT and MOSFET,

Different types of biasing for BJT and MOSFET, Small signal parameters, Body effect in MOSFET, Parasitic elements, frequency response of CE and CS amplifiers.

Analog ICs: DAC, ADC, VCO, PLL and 555-timer.

Texts:

·Ben G. Streetman, Solid State Electronic Devices, PHI, 5/e, 2001

·R. F. Pierret, Semiconductor Device Fundamentals, PHI, 2006

·P. R. Gray, Paul Hurst, S.H. Lewis and R. G. Meyer, Analysis and Design of Analog Integrated Circuit, John Wiley, 2001.

References:

·S. Sedra and K. C. Smith, Microelectronic Circuits, Oxford University Press, 1997.

·M. S. Tyagi, Introduction to Semiconductor Materials and Devices, John Wiley & Sons Inc, 1991.

·Michael Shur, Introduction to Electronic Devices, John Wiley & Sons Inc., 2000

·R. T. Howe and C. G. Sodini, Microelectronics: An Integrated Approach, Prentice-Hall Inc. 1997.

·J. Singh, Semiconductor Devices - Basic Principles; John Wiley & Sons Inc., 2001

EEE302

Digital Circuits

Theory: 100 marks

Sessional: 50 marks

Lab: 50 marks

Time: 3 hrs

1.Number System and Codes

Positional number systems - decimal, binary, octal and hexadecimal. Number base conversion. Representation of negative binary numbers. Codes - BCD, Gray, ASCII extended BCD.

2.Boolean algebra and logic circuits

Axioms and basic theorems of Boolean algebra. Truth table, logic functions and their realization. Logic gates, standard representation (canonical forms) of logic functions - SOP and POS forms. Min terms and max terms.

3.Simplification of logic functions

Karnaugh map of 2, 3 and 4 variables. Simplification by algebra and by map method. Function simplification for don't care conditions, SOP, POS realization; conversion to NAND-NAND or NOR-NOR logic

4.Digital logic families:

TTL, MOS, ECL,interfacing between logic families;

5.Combinational circuits:

Multiplexer/ demultiplexer, encoder/ decoder, adder/ subtractor, comparator and parity generators; Design using multiplexers and decoders; Full Adder, Ripple carry adder;

6.Sequential circuits

Latches and flip-flops (RS, JK, D, T, and Master Slave); Registers; Counters: ripple, ring, and shift register counters; Design and analysis of synchronous sequential finite state machine; Programmable logic devices;

Texts:

·RP Jain, Modern Digital Electronics, Tata McGraw Hill, 2003

·C. H. Roth Jr., “Fundamentals of Logic Design”, 4/e , Jaico Publishers, 2002.

·M. Morris Mano, Michael D. Ciletti, Digital Design, Pearson Education(singapore) Pte. Ltd.

References:

·M. D. Ercegovac, T. Lang, and J.H. Moreno, “Introdu ction to Digital Systems”, John Wiley, 2000.

·J. F. Wakerly, “Digital Design – principles and pra ctices”, 4/e, Pearson Education; 2006.

·Z. Kohavi, “Switching and Finite Automata Theory”, 2/e, Tata McGraw-Hill, 2008.

·V. P. Nelson, H. T. Nagle, B. D. Carroll & J. D. Irwin, “Digital Logic Circuit Analysis and Design”, Prentice-Hall, 1995.

ET363L

NWT Th-I lab

Basic Matlab / Octave Programming

1.General Purpose Commands

Operators and Special Characters, Commands for Managing a Session (), Special Variables and Constants , System and File Commands

2.Input/Output and Formatting Commands

Input/Output Commands , Format Codes for fprintf and fscanf , Numeric Display Formats

3.Vector, Matrix and Array Commands

Array Commands, Special Matrices, Matrix Arithmetic, Matrix Commands for Solving Linear Equations, Cell Array Functions, Structure Functions

4.Plotting Commands

Basic xy Plotting Commands, Plot Enhancement Commands, Specialized Plot Commands, Colors, Symbols and Line Types, Three-Dimensional Plotting Commands, Histogram Functions

5.Programming

Logical and Relational Operators, Program Flow Control, Logical Functions,M-Files, Timing

6.Mathematical Functions

Exponential and Logarithmic Functions, Trigonometric Functions, Hyperbolic Functions, Complex Functions, Statistical Functions, Random Number Functions, Numeric Functions, String Functions

7.Symbolic Math Toolbox

Functions for Creating and Evaluating Symbolic Expressions

8.Spectrum plot

Basic concept of sampling, sine wave generation and its plot in terms of samples and its spectrum generation and plot

PSPICE or equivalent

Design of various transient circuits and their Bode plots etc on PSPICE. Basic circuit analysis in PSPICE

CS 372L

Advanced Computing Lab

Programming in C/C++ as per theory syllabus

EEE301L

Electronic Devices & Circuit Lab

Experiments using diodes and bipolar junction transistor (BJT): design and analysis of half -wave and full-wave rectifiers, clipping circuits and Zener regulators, BJT characteristics and BJT amplifiers; experiments using operational amplifiers (op-amps): summing amplifier, comparator, precision rectifier, astable and monostable multivibrators and oscillators;

Experiments using BJTs, FETs, op-amps and other integrated circuits: Multistage amplifiers, automatic gain controlled amplifiers, programmable gain amplifiers; frequency response of amplifiers; voltage regulator with short circuit protection; phase locked loop; waveform generators; filters.

Text/References:

·A. P. Malvino, Electronic Principles, Tata McGraw-Hill, 2007.

·R. A. Gayakwad, Op-amps and Linear Integrated Circuits, Prentice Hall India, 2004

·P. Horowitz and W. Hill, The Art of Electronics, Cambridge University Press, 2002.

EEE302L

Digital Circuits Lab

Combinational Logic design using decoders and multiplexers; design of arithmetic circuits using adder ICs; Flip flop circuit (RS latch, JK & master slave) using basic gates; Asynchronous Counters, Johnson & Ring counters; 555 timer based clocks and function generation; Synchronous counters; Sequential Circuit designs (sequence detector circuit), DAC circuit;

Text/References:

·Niklaus Wirth, Digital Circuit Design: An Introductory Textbook, Springer, 1995.

·D. P Leach, A. P. Malvino and G. Saha, Digital Principles and Applications, 2/e, Tata McGraw-Hill, 2006

·TTL IC Data Sheets (www.datasheetarchive.com/).