dimensional wave equation - its solution using the methods of separating variables DIALEMBERT'S solution of wave equation - derivation of the equation of heat conduction using gauss divergence theorem of one dimensional heat equation & its solution by separating the variables.

(12 Hrs.)

Convergence, divergence and Oscillation of sequences equation - Applications and series - comparison test - ratio test, CAUCHY'S root test RAABE'S test and integral test ( without proof of all tests ) alternating series LEIBNITZ'S Theorem - absolutes and conditional convergence - summutation of binomial, exponential and logarithmic series.

(12 Hrs.)

FOURIER SERIES & FOURIER TRANSFORMS :

Periodic functions - EULER'S Formula, FOURIER series of even and odd functions - FOURIER'S series of functions of arbitrary period half range expansion practical harmonics.

Definition of Fourier Transform - cosine and sine transforms inverse transforms - convolution applications of fourier transforms.

(12 Hrs.)

Finite difference - forward difference, backward differences Newton's formula - divided differences - Newton's general inter - polation formula and Langrange's formula - central differences - Stirlig's and Bessel's formula - numerical integration - Simpson's rule - 3/8 th and Weddle's Rules, examples.

(12 Hrs.)

PART A -Advanced Engg. Mathematics by Kreyszing (Chapt. 9 upto 9.9 )

PART B - Vector Analysis by Murray R. Spiegel (Chapt. 3/45/6 and 7)

PART C - Higher Engg. Maths by B. S. Grewal (Chapt.11/25 upto23.5)

PART D - Numerical Mathematical Analysis by Scarborough (Chapt. 2/3/4 and 8)

Note : Two questions to be set form each part and the student has to answer 8 Questions choosing at - least one form each part.

Concept of Voltage current & power, ideal and practical voltage and current sources, source transformation

(3 Hours)

Loop current and node voltage method - both for D.C. & A.C circuits.

(7 Hours)

Network., network variables, graph, nodes, branches, tress, links, concept of loop currents, tie - set schedule, concept of node pair voltage, cutsets & cut - set schedule. Network analysis using tie - set & out - set schedules.

(6 Hours)

Series & parallels resonance, bandwidth, selectivity, quality factor, voltage & current amplification.

(6 Hours)

Superposition, substitution, Thevenin's theorem, Northon's theorem, Maximum power transfer theorem, Miller's theorem, reciprocity theorem. Tellegins theorems and network solutions.

(10 Hours)

6. Star delta and delta Star conversions and network solutions.

(2 Hours)

Conductive and Inductively coupled circuits. Mutual inductance coefficient of coupling. Dot convention. Loop current and node voltage analysis of coupled circuits.

(6 Hours)

Two - port networks, short circuits admittance parameters open circuit impedance parameters, Hybrid parameters, A, B, C, D, Parameters. Relation between parameter sets. Equivalent model representation of two - port network, T and PI networks, condition for symmetry and reciprocity. Image impedance.

(11 Hours)

1. Engineering Circuit Analysis : Hayt & Kemmerely

2. Circuit Analysis : Soni Gupta

3. Network analysis : Van Valkenberg

4. Alternating current circuits : Kenchner & Corcoren

1. Circuit Analysis : Edminister ( Schaum's Outline Series)

2. Introduction to Electronic Circuits : Lomanoritz

NOTE: Total EIGHT questions to be set taking Two questions form

PART - A,THREE questions from

PART - B,and THREE questions from

PART - C,The student has to answer Five questions choosing ONE from

PART - A, TWO from PART - B and TWO from PART - C.

1. Free electron theory: Free electron theory in metals, classical theory and its drawback, Summer field theory, conductivity, Opacity, Lustre, Specific heat in materials, Zone theory of solids, motion of an electron in periodic lattics.

(4 Hours)

2. Dielectric materials : Dipole moment, polarization, internal fields in solids & liquids, Permitivity, dielectric losses, insulating properties of dielectric materials, resistivity, conduction in solids, liquids and gases.

(5 Hours)

3. Magnetic Materials : Magnetic dipole moment, magnetization, Permeability, relative permeability, effect of temperature, frequency on relative permeability, classification of magnetic materials, Soft ferrite & Hard ferrite, diamagnetic, paramagnetic, ferromagnetic, ferromagnetic and anti - ferrimagnetic materials, nysterisis behavior and magnetostriction.

(4 Hours)

PART - B

3. Electronic Components : Fixed and Variable resistors and capacitors, advantages and disadvantages, precautions when handling and testing of components.

(3 Hours)

4. Super conductivity : Super conductivity & super conducting materials, Super conductive ring, penetraton of the magnetic field, critical temperature, Super conductors, Superconducting magnets, recent super conducting materials.

(4Hours)

5. Electron Ballistics : Electron Volt, motion of electrons in electric, magnetic and concurrent fields, introduction of CRT, deflection in a CRT.

(4Hours)

PART - C

6. Vacuum tubes : Types of electron emission and emmitters, Vacuum diode, triode, tetrode, pentode and their characteristics.

(4Hours)

7. Semi conductor diodes : General characteristics, energy levels, extrinsic & intrinsic materials, ideal diode basic construction characteristics associated resistance's, currents and capacitance's, Zener diode, tunnel diodes, schottkey diodes, varactor diodes, power diodes, tunnel diode, photo diodes, photoconductives cells, IR emitters LED, LCD, solar cells, thermistors, SCR, UJT their construction and characteristics.

(10 Hours)

PART - D

8. Transistors : Construction & operation, transistor, amplifying action, current components in the transistors CE, CB, CC, configurations, Transistors maximum rating, Operating point.

(8 Hours)

9. Field effect transistors : Construction & characteristics, advantages over BJT, Biasing the JFET, parameters, determinaion of the parameters form the characteristics, introduction to MOSFET.

(4 Hours)

1. Electronic processing materils - by Johnson

2. Electronic devices and circuits - by Millmaan and Halacias

3. Electrical Engg. Materials - by Alagappan & S. Kumar.

4. Solid state physics - by Kittel.

NOTE : Two questions to be set from each part and the student has to answer five questions choosing atlest ONE from each part.

Simple Block diagram Representation of Digital Computer, Concept of stored Program Computers, Writing and running computer program Computers, Writing and running computer Programs, Language Implementations, Programming objectives.

(3 Hours)

The Vocabulary of Pascal, Numbers, Identifiers, Strings, Components, Alternative Symbols, Basic Program Structure, Data Types, Data Declarations, Statements, Expressions and Assignments, Input and Output of Data.

(4 Hours)

The While" statement, the "Repeat" Statement. The "for" statement, The ïf' statement and the "case" statement.

(10 Hours)

The Procedure Concept, Variable & value Parameters, Syntax for declaring Procedures, Calling Procedure, Functions, Syntax for declaring Functions, Using functions, Procedures & Functions as Prameters, Direct Recursion, Mutual Recursion.

(10 Hours)

The array Concept, Two Dimensional Arrays, Whole Array Operations, Packed Arrays, Strings, The record Concept, "with" statement, Mixed Structures, Packed Records, Variant Records, The Set Concept, manipulating Sets, The file Concept, Text Filers.

(16 Hours)

4. NUMERICAL TECHNIQUES :

Gauss - Siedel Technique, Newton - Raphson Techniques, Lagrange's Interpolation Technique, Trapezoidal Rule, Simpson's 1/3 Rule Runge Kutta's 4th order Technique. Pascal Programs for these Technique.

(7 Hours)

1. RAJARAMAN : Computer Programming in Pascal, PHI.

2. NUMERICAL TECHNIQUES : S. S. SHASTRY.

3. WELSH & ELDER : Introduction to Pascal, Second Editioin, Prentice Hall of India, 1987.

4.BCHNEIDER, WEWINGART : An Introduction to Programming & problem solving with Pascal , Wiley

AND PRELMAN Eastren.

5. BELFORD AND LIU : Pascal McGraw - Hill.

6. KELLER : Pascal McGraw - Hill.

NOTE: THREE questions to be set from part D and two each from the remaining parts.

Number systems, Binary, Octal, Hexadecimal & other base systems. Arithmetic with these number systems. Complementary BCD, Reflected, Cyclic & self complementing codes, error detection & correction code, introduction to logic concept of positive & negative logic.

(8 Hours)

2. Boolean logic & Boolean operations :

Logic symbols & truth tables. AND, OR, NOT, NAND, NOR, XOR, XNOR & inhibiting gate concepts, Introduction to multi - level logic, Boolean algebra - theorems, Corollaries.

(5 Hours)

3. Minimisation Techniques :

Functions simplification using Boolean algebra, sum of product & product of sum forms, minterms, maxterms, canonical forms, Karnaugh map method, adjacency grouping, solution of two, three, four & five variables expressions using K map, Quine McClusky method of minimisation.

(10 Hours)

4. Introduction to sequential circuits :

Concepts of clockings, Triggering of levels & edges, Filp - Flops, SR, JK, MSJK, D & T filp - flops, Asynchronous counters, Binary, BCD, Divide by N, up/down Counters, Design of synchronous counters, Shift left, Shift right, Shift left/Shift right, Serial in, Parallel in, Serial in/Parallel in, Serial in serial out, Parallel in Parallel out, Parallel in serial out, Serial in Parallel out, Bi-directional shift register, Shift register counters.

(10 Hours)

Introductory examples, state tables, state assignments, the finite state model - basic definitions, synchronous sequential machines, Memory elements and their excitation, function, Synthesis of synchronous sequential circuits. The sequence detector, A binary counter, A Parity bit generator, interactive networks, synthesis, Minimisation of sequential machines.

(12 Hours)

TTL, ECL, IIL, MOS, gates, their properties, fan in, fan out, switching speeds, propagation delays, noise margin, Power considerations, compatibility's between different families, Basic ideas of SSI, MSI, LSI & VlSI.

(5 Hours )

1. Introduction to theory & Practice - Digital Electronics by William Gothmann.

2. Digital Fundamentals by Floyd.

Two questions to be set form PART - A, THREE questions form PART B & TWO questions from PART - C.

The student has to answer ONE question from PART A, TWO questions from PART B & TWO questions from PART - C.

( A minimum of ten Experiments to be conducted)

1. Semiconductor diode characteristics under :

(a) Forward bias condition (b) Reverse bias conduction.

2. Zener diode characteristics & to use it as a voltage regulator.

3. Vacuum diode characteristics.

4. Vacuum triode characteristics.

5. Transistor characteristics in C. E. configuration.

6. Transistor characteristics in C. B. configuration.

7. Hybrid parameters of transistor.

8. Silicon controlled rectifier (SCR) characteristics.

9. Unijunction Transistor (UJT) characteristics.

10. Field Effect Transistor (FET) characteristics & its parameters.

11. Study of CRO & Lissajaous figures.

12. Diode as Rectifier.

( A minimum of ten Experiments to be conducted)

1. Truth table verification of basic logic gates.

2. Verification of Boolean identifiers and theorem.

3. Universal Logic gates ( NAND, NOR) (Realisation of simple Boolean functions using these gates)

4. Study of SR, JK, D & T Filp-Flops.

5. BCD & Binary Converters( using IC's)

6. Shift registers.

7. Sequence detector.

8. Parity bit generator.

9. Adder & Substractors.

10. BCD Adders.

11. Characteristics of TTL & MOS Gates.

12. Binary Compactors.

( A minimum of ten of the following 12 Experiments is to be done)

1. Simple Programs to read data and print in any required format.

2. Short Pascal Programs involving some arithmetic operations.

3. Programs illustrating use of conditional statements

4. Illustrations of White, Repeat and for Loops.

5. Programs on Nested Loops.

6. Use of case statements.

7. Simple Programs involving Procedures & Functions.

8. Programming examples to illustrate direct & mutual Recursion,

9. Programs on Single and Two Dimensional Arrays, Operations Recursion.

10. Examples on String Manipulation.

11. Illustration of Creation & Processing of internal & External Files of Records.

12. Programs on Numerical Techniques.