*10177MA301*TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS**(Common to all branches)**

**OBJECTIVES**

The course objective is to develop the skills of the students in the areas of Transforms and

Partial Differential Equations. This will be necessary for their effective studies in a large

number of engineering subjects like heat conduction, communication systems, electro-optics

and electromagnetic theory. The course will also serve as a prerequisite for post graduate and

specialized studies and research.

**UNIT 1.FOURIER SERIES**

Dirichlet’s conditions – General Fourier series – Odd and even functions – Half range sine series – Half range cosine series – Complex form of Fourier Series – Parseval’s identify –Harmonic Analysis.

**UNIT 2. FOURIER TRANSFORMS**

Fourier integral theorem (without proof) – Fourier transform pair – Sine and Cosine

transforms – Properties – Transforms of simple functions – Convolution theorem – Parseval’s identity.

**UNIT 3. PARTIAL DIFFERENTIAL EQUATIONS**

Formation of partial differential equations – Solutions of standard types of first order partial

differential equations - Lagrange’s linear equation - Linear partial differential equations of second and higher order with constant coefficients.

**UNIT 4. APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS**

Solutions of one dimensional wave equation – One dimensional equation of heat conduction –

Steady state solution of two-dimensional equation of heat conduction (Insulated edges

excluded) – Fourier series solutions in cartesian coordinates.

**UNIT 5. Z -TRANSFORMS AND DIFFERENCE EQUATIONS**

Z-transforms -Elementary properties – Inverse Z-transform – Convolution theorem Formation of difference equations – Solution of difference equations using Z-transform.

**TEXT BOOKS**

1. T. Veerarajan, “Transforms and Partial Differential Equations”, Tata McGraw Hill, 2009

**2.**Grewal, B.S, “Higher Engineering Mathematics”, 40th Edition, Khanna publishers,

(2007)

**REFERENCES**

1. Ramana.B.V., “Higher Engineering Mathematics”, Tata Mc-GrawHill Publishing Company

limited, New Delhi (2007).

2. Glyn James, “Advanced Modern Engineering Mathematics”, Third Edition, Pearson

Education (2007).

3. Kandasamy, P., Thilagavathy, K., and Gunavathy, K., “Engineering Mathematics Volume

III”, S. Chand & Company Ltd., New Delhi , 1996

**10144EC302 ELECTRICAL ENGINEERING**

**AIM**

To expose the students to the concepts of various types of electrical machines and

transmission and distribution of electrical power.

**OBJECTIVES**

To impart knowledge on Constructional details, principle of operation, performance, starters

and testing of D.C. machines.

Constructional details, principle of operation and performance of transformers.Constructional

details, principle of operation and performance of induction motors.

Constructional details and principle of operation of alternators and special machines.

Power System transmission and distribution.

**UNIT I D.C. MACHINES**

Constructional details – emf equation – Methods of excitation – Self and separately excited

generators – Characteristics of series, shunt and compound generators – Principle of operation

of D.C. motor – Back emf and torque equation – Characteristics of series, shunt and

compound motors - Starting of D.C. motors – Types of starters - Testing, brake test and

Swinburne’s test – Speed control of D.C. shunt motors.

**UNIT 2 TRANSFORMERS**

Constructional details – Principle of operation – emf equation – Transformation ratio –

Transformer on no load – Parameters referred to HV/LV windings – Equivalent circuit –

Transformer on load – Regulation - Testing – Load test, open circuit and short circuit tests.

**UNIT 3 INDUCTION MOTORS**

Construction – Types – Principle of operation of three-phase induction motors – Equivalent

circuit – Performance calculation – Starting and speed control – Single-phase induction

motors (only qualitative treatment).

**UNIT 4 SYNCHRONOUS AND SPECIAL MACHINES**

Construction of synchronous machines-types – Induced emf – Voltage regulation; emf and

mmf methods – Brushless alternators – Reluctance motor – Hysteresis motor – Stepper motor.

**UNIT 5 TRANSMISSION AND DISTRIBUTION**

Structure of electric power systems – Generation, transmission and distribution systems -

EHVAC and EHVDC transmission systems – Substation layout – Insulators – cables.

**TEXT BOOKS**

1. D.P.Kothari and I.J.Nagrath, ‘Basic Electrical Engineering’, Tata McGraw Hill publishing

company ltd, Second Edition, 2007 (Reprint).

2. C.L. Wadhwa, ‘Electrical Power Systems’, New Age International, Fourth Edition, 2007.

**REFERENCE BOOKS**

1.S.K.Bhattacharya, “Electrical Machines”, Tata McGraw Hill Publishing company ltd,

second edition, 2007.

2.V.K.Mehta and Rohit Mehta, “Principles of Power System”, S.Chand and Company Ltd,

second edition, 2006.

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**10144EC303 DATA STRUCTURES AND OBJECT ORIENTED PROGRAMMING IN** C++

**AIM**

To provide an in-depth knowledge in problem solving techniques and data structures.

**OBJECTIVES**

To learn the systematic way of solving problems

To understand the different methods of organizing large amounts of data

To learn to program in C++

To efficiently implement the different data structures

To efficiently implement solutions for specific problems

**UNIT – I PRINCIPLES OF OBJECT ORIENTED PROGRAMMING**

Introduction- Tokens-Expressions-contour Structures –Functions in C++, classes and objects,

constructors and destructors ,operators overloading and type conversions .

**UNIT – 2 ADVANCED OBJECT ORIENTED PROGRAMMING**

Inheritance, Extending classes, Pointers, Virtual functions and polymorphism, File Handling

Templates ,Exception handling, Manipulating strings.

**UNIT – 3 DATA STRUCTURES & ALGORITHMS**

Algorithm, Analysis, Lists, Stacks and queues, Priority queues-Binary Heap-Application,

Heaps–hashing-hash tables without linked lists

**UNIT – 4 NONLINEAR DATA STRUCTURES**

Trees-Binary trees, search tree ADT, AVL trees, Graph Algorithms-Topological sort, shortest

path algorithm network flow problems-minimum spanning tree - Introduction to NP -

completeness.

**UNIT – 5 SORTING AND SEARCHING**

Sorting – Insertion sort, Shell sort, Heap sort, Merge sort, Quick sort, Indirect sorting, Bucket

sort, Introduction to Algorithm Design Techniques –Greedy algorithm (Minimum Spanning

Tree), Divide and Conquer (Merge Sort), Dynamic Programming (All pairs Shortest Path

Problem).

**TEXT BOOKS:**

1. Mark Allen Weiss, “Data Structures and Algorithm Analysis in C”, Third Edition, Pearson

Education Asia, 2007.

2. E. Balagurusamy, “Object Oriented Programming with C++”, McGraw Hill Company Ltd.,

2007.

**REFERENCES:**

1. Langsam , Augenstein and Tanenbaum,”Data Structures using C and C++”, PHI Learning

Private Limited ,2010.

2.Michael T. Goodrich, “Data Structures and Algorithm Analysis in C++”, Wiley student

edition, 2007.

3.Sahni, “Data Structures Using C++”, The McGraw-Hill, 2006.

4. 5.Jean – Paul Tremblay & Paul G.Sorenson,” An Introduction to data structures with

applications”, Tata McGraw Hill Second Edition, 2002.

6.John R.Hubbard, “Schaum’s outline of theory and problem of data structure with C++” ,

McGraw-Hill, New Delhi, 2000.

7. Robert Lafore,” Object oriented programming in C++”, Galgotia Publication.

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**10144EC304 DIGITAL ELECTRONICS**

**AIM**

To learn the basic methods for the design of digital circuits and provide the fundamental

concepts used in the design of digital systems.

**OBJECTIVES**

To introduce basic postulates of Boolean algebra and shows the correlation between Boolean

expressions

To introduce the methods for simplifying Boolean expressions

To outline the formal procedures for the analysis and design of combinational circuits and

sequential circuits

To introduce the concept of memories and programmable logic devices.

To illustrate the concept of synchronous and asynchronous sequential circuits

**UNIT I MINIMIZATION TECHNIQUES AND LOGIC GATES**

Minimization Techniques: Boolean postulates and laws – De-Morgan’s Theorem - Principle

of Duality - Boolean expression - Minimization of Boolean expressions –– Minterm –

Maxterm - Sum of Products (SOP) – Product of Sums (POS) – Karnaugh map Minimization –

Don’t care conditions - Quine-McCluskey method of minimization. Logic Gates: AND, OR,

NOT, NAND, NOR, Exclusive–OR and Exclusive–RImplementations of Logic Functions

using gates, NAND–NOR implementations – ulti level gate implementations- Multi output

gate implementations. TTL and CMOS Logic and their characteristics – Tristate gates.

**UNIT 2 COMBINATIONAL CIRCUITS**

Design procedure – Half adder – Full Adder – Half subtractor – Full subtractor - Parallel

binary adder, parallel binary Subtractor – Fast Adder - Carry Look Ahead adder – Serial

Adder/Subtractor - BCD adder – Binary Multiplier – Binary Divider - Multiplexer/

Demultiplexer – decoder - encoder – parity checker – parity generators - code converters -

Magnitude Comparator.

**UNIT 3 SEQUENTIAL CIRCUITS**

Latches, Flip-flops - SR, JK, D, T, and Master-Slave – Characteristic table and equation

Application table – Edge triggering – Level Triggering – Realization of one flip flop using

other flip flops – serial adder/subtractor- Asynchronous Ripple or serial counter –

Asynchronous Up/Down counter - Synchronous counters – Synchronous Up/Down counters –

Programmable counters – Design of Synchronous counters: state diagram- State table –State

minimization –State assignment - Excitation table and maps-Circuit implementation -

Modulo–n counter, Registers – shift registers - Universal shift registers – Shift register

counters – Ring counter – Shift counters - Sequence generators.

**UNIT 4 SYNCHRONOUS AND AYNCHRONOUS SEQUENTIAL CIRCUITS**

Synchronous Sequential Circuits: General Model – Classification – Design – Use of

Algorithmic State Machine – Analysis of Synchronous Sequential Circuits Asynchronous

Sequential Circuits: Design of fundamental mode and pulse mode circuits – Incompletely

specified State Machines – Problems in Asynchronous Circuits – Hazards – Static and

dynamic -Design of Hazard Free Switching circuits. Introduction to Verilog -Design of

Combinational and Sequential circuits using VERILOG like Adder Subtractor and

Synchronous counters

**UNIT 5 MEMORY DEVICES**

Classification of memories – ROM -ROM organization -PROM – EPROM – EEPROM –

EAPROM, RAM – RAM organization – Write operation – Read operation – Memory cycle -

Timing wave forms – Memory decoding – memory expansion – Static RAM Cell-Bipolar

RAM cell – MOSFET RAM cell – Dynamic RAM cell –Programmable Logic Devices –

Programmable Logic Array (PLA) -Programmable Array Logic (PAL) -Field Programmable

Gate Arrays (FPGA) -Implementation of combinational logic circuits using ROM, PLA, PAL

**TEXT BOOKS**

1. M. Morris Mano, “Digital Design”, Third Edition, Prentice Hall of India Pvt. Ltd, 2003 /

Pearson Education (Singapore) Pvt. Ltd., New Delhi, 2003.

2. S. Salivahanan and S. Arivazhagan,” Digital Circuits and Design”, Third Edition.,Vikas

Publishing House Pvt. Ltd, New Delhi, 2006.

**REFERENCES**

1.A.Anand Kumar,” Fundamentals of Digital circuits”, Second Edition, PHI Learning Private

Limited ,2010

2.Thomas L. Floyd, “Digital Fundamentals”, Eigth Edition, Pearson Education Inc, New

Delhi, 2003

3. Charles H.Roth. “Fundamentals of Logic Design”, Thomson Learning, 2003.

4. Donald P.Leach and Albert Paul Malvino, Digital Principles and Applications,

Sixth Edition, TMH, 2003.

5. William H. Gothmann, “ Digital Electronics”, Second Edition, PHI, 1982.

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**10144EC305 SIGNALS AND SYSTEMS**

**AIM**

To study and analyze characteristics of continuous, discrete signals and systems.

**OBJECTIVES**

To study the properties and representation of discrete and continuous signals.

To study the sampling process and analysis of discrete systems using ztransforms.

To study the analysis and synthesis of discrete time systems.

**UNIT 1. CLASSIFICATION OF SIGNALS AND SYSTEMS**

Continuous time signals (CT signals), discrete time signals (DT signals) - Step, Ramp, Pulse,

Impulse, Exponential, Classification of CT and DT signals - periodic and periodic, random

singals, CT systems and DT systems, Basic properties of systems - Linear Time invariant

Systems and properties.

**UNIT 2. ANALYSIS OF CONTINUOUS TIME SIGNALS**

Fourier series analysis, Spectrum of C.T. singals, Fourier Transform and Laplace Transform

in Signal Analysis.

**UNIT 3. ANALYSIS OF DISCRETE TIME SIGNALS**

Sampling of CT signals and aliasing, DTFT and properties, Z-transform and properties of Ztransform.

**UNIT 4. LINEAR TIME INVARIANT –CONTINUOUS TIME SYSTEMS**

Differential equation, Block diagram representation, Impulse response, Convolution integral,

frequency response , Fourier and Laplace transforms in analysis, State variable equations and

matrix representation of systems

**UNIT 5. LINEAR TIME INVARIANT - DISCRETE TIME SYSTEMS**

Difference equations, Block diagram representation, Impulse response, Convolution sum, LTI

systems analysis using DTFT and Z-transforms , State variable equations and matrix

representation of systems.

**TEXT BOOK:**

1. Allan V.Oppenheim, S.Wilsky and S.H.Nawab, “Signals and Systems”,

Second Edition, PHI, 2010.

2. Gurung J.B,”Signals and Systems “, PHI learning private Limited ,2009

**REFERENCES:**

1. H P Hsu, Rakesh Ranjan“ Signals and Systems”, Schaum’s Outlines, Tata McGraw Hill,

Indian Reprint, 2007 .

2. Simon Haykins and Barry Van Veen, “Signals and Systems”, John Wiley & sons , Inc,

2004.

3. Ramakrishna Rao.P, “Signals and Systems” , Second Edition, TMH, 2008.

4. S.Palani, Signals and Systems, Ane Books Pvt. Ltd., 2009.

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**10144EC306 ELECTRONIC CIRCUITS - I**

**AIM**

The aim of this course is to familiarize the student with the analysis and design of basic

transistor Amplifier circuits and power supplies.

**OBJECTIVE**

To understand:

The methods of biasing transistors,

Design of simple amplifier circuits,

Midband analysis of amplifier circuits using small - signal equivalent circuits to determine

gain input impedance and output impedance ,

Method of calculating cutoff frequencies and to determine bandwidth

Design of power amplifiers, Analysis and design of power supplies.

**UNIT I TRANSISTOR BIAS STABILITY**

BJT – Need for biasing – Stability factor - Fixed bias circuit, Load line and quiescent point.

Variation of quiescent point due to FE h variation within manufacturers tolerance - Stability

factors - Different types of biasing circuits - Method of stabilizing the Q point - Advantage of

Self bias (voltage divider bias) over other types of biasing, Bias compensation – Diode,

Thermister and Sensistor compensations, Biasing the FET and MOSFET.

**UNIT 2 MIDBAND ANALYSIS OF SMALL SIGNAL AMPLIFIERS**

CE, CB and CC amplifiers - Method of drawing small-signal equivalent circuit - Midband

analysis of various types of single stage amplifiers to obtain gain, input impedance and output

impedance - Miller’s theorem - Comparison of CB, CE and CC amplifiers and their uses -

Methods of increasing input impedance using Darlington connection and bootstrapping - CS,

CG and CD (FET) amplifiers - Multistage amplifiers. Basic emitter coupled differential

amplifier circuit - Bisection theorem.

**UNIT 3 FREQUENCY RESPONSE OF AMPLIFIERS**

General shape of frequency response of amplifiers - Definition of cutoff frequencies and

bandwidth - Low frequency analysis of amplifiers to obtain lower cutoff frequency Hybrid – .

equivalent circuit of BJTs - High frequency analysis of BJT amplifiers to obtain upper cutoff

frequency – Gain Bandwidth Product - High frequency equivalent circuit of FETs - High

frequency analysis of FET amplifiers - Gain-bandwidth product of FETs - General expression

for frequency response of multistage amplifiers - Calculation of overall upper and lower

cutoff frequencies of multistage amplifiers - Amplifier rise time and sag and their relation to

cutoff frequencies.

**UNIT 4 LARGE SIGNAL AMPLIFIERS**

Classification of amplifiers, Class A large signal amplifiers, second harmonic distortion,

higher order harmonic distortion, transformer-coupled class A audio power amplifier –

efficiency of Class A amplifiers. Class B amplifier – efficiency -push-pull amplifier distortion

in amplifiers -complementary-symmetry (Class B) push-pull amplifier, Class C, Class D

amplifier – Class S amplifier – MOSFET power amplifier, Thermal stability and heat sink.

**UNIT 5 RECTIFIERS AND POWER SUPPLIES**

Classification of power supplies, Rectifiers -Half-wave, full-wave and bridge rectifiers with

resistive load. Analysis for Vdc and ripple voltage with C, L, LC and CLC filters. Voltage

multipliers, Voltage regulators -Zener diode regulator, principles of obtaining a regulated

power supply, regulator with current limiting, Over voltage protection, Switched mode power

supply (SMPS), Power control using SCR.

**TEXT BOOKS**

1. Millman J and Halkias .C.,” Integrated Electronics”, TMH, 2007.

2. S. Salivahanan, N. Suresh Kumar and A. Vallavaraj,” Electronic Devices and Circuits”, 2nd

Edition, TMH, 2007.

**REFERENCES**

1. Robert L. Boylestad and Louis Nashelsky,” Electronic Devices and Circuit Theory”, nineth

Edition, PHI, 2007

2. David A. Bell, “Electronic Devices & Circuits”, fourth Ediion, PHI, 2007

3. Floyd, Electronic Devices, Sixth Edition, Pearson Education, 2002.

4. Allen Mottershead, “Electronic Devices and Circuits An Introduction”, PHI, 2010.

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**10144EC307 DIGITAL ELECTRONICS LAB**

1. Design and implementation of Adder and Subtractor using logic gates.

2. Design and implementation of code converters using logic gates

(i) BCD to excess-3 code and vice versa

(ii) Binary to gray and vice-versa

3. Design and implementation of 4 bit binary Adder/ subtractor and BCD adder using IC 7483

4. Design and implementation of 2 bit Magnitude Comparator using logic gates 8 Bit

Magnitude Comparator using IC 7485

5. Design and implementation of 16 bit odd/even parity checker generator using IC74180.

6. Design and implementation of Multiplexer and De-multiplexer using logic gates and study

of IC74150 and IC 74154

7. Design and implementation of encoder and decoder using logic gates and study of IC7445

and IC74147

8. Construction and verification of 4 bit ripple counter and Mod-10 / Mod-12 Ripple counters

9. Design and implementation of 3-bit synchronous up/down counter

10. Implementation of SISO, SIPO, PISO and PIPO shift registers using Flip-flops

11. Design of experiments 1, 6, 8 and 10 using Verilog Hardware Description Language

**10144EC308 ELECTRONIC CIRCUITS LAB I**

**(Common to ECE & Bio Medical Engineering)**

**Expt No.1 Fixed Bias amplifier circuit using BJT**

1. Waveforms at input and output without bias.

2. Determination of bias resistance to locate Q-point at center of load line.

3. Measurement of gain.

4. Plot the frequency response & Determination of Gain Bandwidth Product

**Expt No.2 Design and construct BJT Common Emitter Amplifier using voltage divider**

**bias (self-bias) with and without bypassed emitter resistor.**

1. Measurement of gain.

2. Plot the frequency response & Determination of Gain Bandwidth Product

**Expt No.3 Design and construct BJT Common Collector Amplifier using voltage divider**

**bias (self-bias).**

1. Measurement of gain.

2. Plot the frequency response & Determination of Gain Bandwidth

**Expt No.4 Darlington Amplifier using BJT.**

1. Measurement of gain and input resistance.

2. Comparison with calculated values.

3. Plot the frequency response & Determination of Gain Bandwidth

Product

**Expt No.5 Source follower with Bootstrapped gate resistance**

1. Measurement of gain, input resistance and output resistance with and

without Bootstrapping.

2. Comparison with calculated values.

**Expt No.6 Differential amplifier using BJT**

1. Measurement of CMRR.

**Expt No.7 Class A Power Amplifier**

1. Observation of output waveform.

2. Measurement of maximum power output.

3. Determination of efficiency.

4. Comparison with calculated values.

**Expt No.8 Class B Complementary symmetry power amplifier**

1. Observation of the output waveform with crossover Distortion.

2. Modification of the circuit to avoid crossover distortion.

3. Measurement of maximum power output.

4. Determination of efficiency.

5. Comparison with calculated values.

**Expt No.9 Power Supply circuit -Half wave rectifier with simple capacitor filter.**

1. Measurement of DC voltage under load and ripple factor, Comparison

with calculated values.

2. Plot the Load regulation characteristics using Zener diode.

**Expt No.10 Power Supply circuit -Full wave rectifier with simple capacitor filter**

1.Measurement of DC voltage under load and ripple factor, Comparison

with calculated values.

2.Measurement of load regulation characteristics. Comparison with

calculated values.

**10144EC309 DATA STRUCTURES AND OBJECT ORIENTED PROGRAMMING** LAB

1. Basic Programs for C++ Concepts

2. Array implementation of List Abstract Data Type (ADT)

3. Linked list implementation of List ADT

4. Cursor implementation of List ADT

5. Stack ADT -Array and linked list implementations

The next two exercises are to be done by implementing the following source files

(a) Program source files for Stack Application 1

(b) Array implementation of Stack ADT

(c) Linked list implementation of Stack ADT

(d) Program source files for Stack Application 2

An appropriate header file for the Stack ADT should be #included in (a) and (d)

6. Implement any Stack Application using array implementation of Stack ADT (by

Implementing files (a) and (b) given above) and then using linked list

Implementation of Stack ADT (by using files (a) and implementing file (c))

7. Queue ADT – Array and linked list implementations

8. Search Tree ADT -Binary Search Tree

9. Heap Sort

10. Quick Sort

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