# Table 3: Third Semester, 2 Year

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Nov 15, 2013 (4 years and 6 months ago)

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Table
3
: Third Semester,
2
nd

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, equ
ivalent 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
independen
ce, 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. Consiste
ncy 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

distribu
tion 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 diffe
rence.
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. Statistic
al 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 integral
s, 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 Lt
d.

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 Mat
erials

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 b
oundaries

2.

Dielectrics

(i)Propert
ies 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, heati
ng 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 semicon
ductor 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 Netw
ork 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

state response.

3.

Network Theorems

Star and Delta conversion, Thevenin’s and Norton’s Theorem, Superposition and

Maximum powe
r 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 pr
inciples; 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 facto
r; 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

Theory: 100

Sessional: 50

Time: 3 hours

1.

Concepts of Pointers

Pointer types
-

their uses
-

dynamic memory allocation techniques
-

garbage collection
-

-

generic
pointers.

2.

Files

Files, opening
-

-

File attributes, File management

3.

Basics of Object Orient
ed 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

.

5.

Data abstraction

Class definition

Different types of constructors

Des
tructors

Objects and
classes

Dynamic creations and destructions of objects.

6.

Inheritance

Derived classes

Syntax of derived classes

inherited member functions

Multiple inheritance

Virtual base class virtual
function

and Polymorphism: Static and dynamic bindings

Virtual
functions.

7.

Polymorphism

-

Run time polymorphism

delete operators
.

8.

Generic classes in C++/JAVA

Necessities of templates

Generic class

using Macros

Class templates

Function

templates

Exception Handing in C++.

Benefits of exception handling

Troubles with standard C functions(setjmp amd long

jmp)

Proposed Exception handling mechanism for C++.

Text Books and Ref
erences:

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.

T
hinking 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, second
ary 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 c
haracteristics 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.

Referenc
es:

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

Ax
ioms 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

Karnau
gh 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

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, “Introduction to Digital
Systems”, John Wiley, 2000.

J. F. Wakerly, “Digital Design

principles and practices”, 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, “D
igital Logic Circuit Analysis and Design”,
Prentice
-
Hall,

1995.

E
T363
L

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, Histo
gram 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,
Statistic
al 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

A
dvanced
C
omputing
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
contro
lled 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.

-
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 multiple
xers; 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/
).