Scheme of examination & syllabi for Bachelor / Master of Technology (Dual Degree)




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III. Programming using C: The emphasis should be more on programming techniques rather that the language itself. The C programming language is being chosen mainly because of the availability of the compilers, books and other reference materials. Example of some simple C program. Dissection of the program line by line, Concepts of Variables, program statements and function calls from the library (printf for example)


  • C data types, int, char, float etc.

  • C expressions, arithmetic operations, relational and logic operations.

  • C assignment statements, extension of assignment to the operations. C primitive input output using getchar and putchar, exposure to the scanf and printf functions.

  • C statements, conditional executing using if, else. Optionally switch and break statements may be mentioned.

  • Concepts of loops, example of loops in C using for, while and do-while, Optionally continue may be mentioned.

  • One dimensional arrays and example of iterative programs using arrays, 2-d arrays. Use in matrix computations.

  • Concept of Sub-programming, functions, Example of functions, Argument passing mainly for the simple variables.

  • Pointers, relationship between arrays and pointers, Argument passing using pointers, Array of pointers, Passing arrays as arguments.

  • Strings and C string library

Structures and Unions. Defining C structures, passing strings as arguments, programming examples.

  • File I/O, Use of fopen, fscanf and fprintf routines

Code: IT107 L T/P C

Paper ID: 15107 Paper: Electrical Science  3 1 4

 

I. Properties of Conductors and Insulators


Basic laws of Electrical Engineering

Temperature Resistance Coefficients

 

II. D.C. Circuits


Network theorems and applications

Division of Current

Potentiometer

Circuit Parameters

Energy and Power

Superposition

Thevenin and Reciprocity theorems

Star Delta Formations

 

III. Alternating Currents


Peak, Average and RMS values for alternating currents

Power and Power factor

Resistance, Inductance and Capacitance

Resonance

Q Factor


IV. Electromagnetism


Magnetic Induction

Permeability

Hysteresis

 

V. Measuring Instruments


Moving Coil and Moving Iron Instruments

Construction of Instruments

Attraction and Repulsion type

Permanent Magnet and Eletrodynamics, Dynamometer type

 

VI. D.C. Generators & Motors


Principle of operation of Generators & Motors

Speed Control of shunt motors

Flux control, Rheostatic control, voltage control

Speed control of series motors

 

VII. A.C. Generators & Motors


Principle of operation

Removing Magnetic field

Squirrel cage and phase wound rotor

Starting of Induction motors

Direct on line and Star Delta starters

Synchronous machines

 

VIII. Transformers


 

Construction

Regulation and efficiency calculations

Open and short circuit tests

Paper Code: BA-109 L T/P C

Paper ID: 99109  Paper : Mathematics – I 3 2 4


1(a) Calculus of functions of One variable

 

  1. Successive Differentiation, Leibnitz's theorem (without proof). Lagrange's Theorem, Cauchy Mean value theorems, Taylor's theorem (without proof), Remainder term, Asymptotes, Curvature, Curve Tracing.

14 hrs

 

  1. Infinite Series: Convergence, divergence, Comparison test, Ration Test, Cauchy nth root test, Leibnitz's test (without proof), Absolute and Conditional Convergence, Taylor and Meclaurin series, Power Series, Radius of Convergence.

5 hrs

 

  1. Integral Calculus: Reduction Formulae of trigonometric functions, Properties of definite Integral, Applications to length, area, volume, surface of revolution, Definition of improper integrals, Beta-Gamma functions.

8 hrs

 

1(b) Calculus of Functions of several variables:

 

Partial derivatives, Chain rule, Differentiation of Implicit functions, Exact differentials. Maxima, Minima and saddle points, Method of Lagrange multipliers. Differentiation under Integral sign, Jacobians and transformations of coordinates. Double and Triple integrals. Simple applications to areas, Volumes etc.

12 hrs

 

II Vector Calculus:

 

Scalar and vector fields, Curves, Arc length, Tangent, normal, Directional Derivative, Gradient of scalar field, divergence and curl of a vector field. Line integral (independent of path), Green's theorem, Divergence theorem and Stoke's theorem (without proofs), Surface Integrals.

12 hrs

 

Suggested Text Books & References


 

1. G.B. Thomas and R.L. Finney, "Calculus and Analytic Geometry", 6th edition, Addison-Wesley/Narosa, 1985.

2. Shanti Narayan, "Differential Calculus", S. Chand & Co.

3. Shanti Narayan, "Integral Calculus", S. Chand & Co.

4. Grewal B.S., "Higher Engineering Mathematics", Khanna Publ.

5. E. Kreyszig, "Advanced Engineering Mathematics", 5th Edition, Wiley Eastern, 1985.

6. Murray R. Spiegel, "Theory and Problems of Vectors Analysis", Schaum's Outline Series, Mc Graw Hill Ed.

7. S.C. Malik, "Mathematical Analysis", Wiley Eastern Ltd.

8. "Advanced Calculus", Schaum's Outline Series, Mc Graw Hill Ed.

9. Widder, "Advanced Calculus", 2nd Edition, Prentice Hall Publishers.

Paper Code: BA-111 L T/P C

Paper ID: 99111 Paper: Physics – I 2 1 3


I OPTICS

Polarization

Types of polarization, elliptically and circularly polarized light Brewsters law, Malu's law, Nicol prism, double refraction, quarter-wave and half-wave plates, optical activity, specific rotation, Laurent half shade polarimeter.

5 hrs.

Interference

 Coherence and coherent sources, interference by division of wave front (young's double slit experiment, Fresnel's biprism), interference by division of amplitude (thin films, Newton's rings, Michelson's interferrometer, Fabry Perot interferrometer)

7 hrs.

Diffraction

 (Fresnel and Fraunhofer types of diffraction) Fraunhofer difraction: Single slit, double slit, circular aperture and N-slit, diffraction grating wavelength determination, resolving power and dispersive power, Fresnel Diffraction: Zone plate, circular aperture, opaque circular disc, narrow slit.

7 hrs.

II LASER AND FIBRE OPTICS

 Lasers

 Introduction, coherence, Einstein A and B coefficients, population inversion, basic principle and operation of a laser, type of lasers, He-Ne laser, Ruby laser, semiconductor laser, holography-theory and applications.

5 hrs.

Fibre Optics:

 Introduction to optical fibre, types of optical fibres and their characteristics, (Attenuation and dispersion step index and graded index fibres, principle of fibre optic communication-total internal reflection, numerical aperture, fibre optical communication network (qualitative)-its advantages.

5 hrs.

III Theory of relativity

 Absolute and Inertial frames of reference, Galenlian transformations, Michelson-Morley experiment, the postulates of the special theory of relativity, Lorentz transformations, time dilation, length contraction, velocity addition, mass energy equivalence.

5 hrs.

Recommended Books

1. Concepts of Modern Physics: A. Beiser

2. Modern Physics: Kenneth Krane

3. Fundaments of Optics: Jenkins and White

4. Optics: Ghatak

5. Fundamental of Physics by RESNICK & HALLIDAY

Practicals:


Code: BA151 L T/P C

Paper ID:99151 Paper: Chemistry – I Lab. 0 2 1


Practicals based on BA103.


Code: BA153 L T/P C

Paper ID:99153 Paper: Physics– I Lab. 0 2 1


Practicals based on BA109.


Code: IT155 L T/P C

Paper ID:15155 Paper: Computer Lab. 0 2 1


Practicals based on IT105.


Code: IT157 L T/P C

Paper ID:15157 Paper: Engineering Graphics –I 0 2 1


1. General

Importance, Significance and scope of engineering drawing, Lettering, Dimensioning, Scales, Sense of proportioning, Different types of projections, Orthographic projections, B.I.S. Specifications.

 

2. Projections of Points and Lines

Introduction of planes of projection, Reference and auxiliary planes, projections of points and lines in different quadrants, traces, inclinations, and true lengths of the lines, projections on auxiliary planes, shortest distance intersecting and non-intersecting lines.

 

3. Planes Other than the Reference Planes

Introduction of other planes (perpendicular and oblique), their traces, inclinations etc., projections of points and lines lying in the planes, conversion of oblique plane into auxiliary plane and solution of related problems.

 

4. Projections of Plane Figures

Different cases of plane figures (of different shapes) making different angles with one or both reference planes and lines lying in the plane figures making different given angles (with one or both reference planes). Obtaining true shape of the plane figure by projection.

 

5. Projection of Solids

Simple cases when solid is placed in different positions, Axis, faces and lines lying in the faces of the solid making given angles.

 

6. Development of Surface

Development of simple objects with and without sectioning.

 

7. Nomography

Basic concepts and use.


Code: IT159 L T/P C

Paper ID:15159 Paper: Electrical Science Lab. 0 2 1


Practicals based on IT107.


Code: HS102 L T/P C

Paper ID:98102 Paper: Communication Skills – II 1 2 3

 

 

1. Some Key Concepts:

Communication as sharing; context of communication; the speaker/writer and the listener/reader; medium of communication; barriers to communication; accuracy, brevity, clarity and appropriateness in communication.

 

2. Writing:

Selecting material for expository, descriptive, and argumentative pieces; business letters; formal report; summarizing and abstracting; expressing ideas within a restricted word limit; paragraph division, introduction and the conclusion; listing reference material; use of charts, graphs and tables; punctuation and spelling; semantics of connectives, modifiers and modals, variety in sentences and paragraphs.

 

3. Reading Comprehension:

Reading at various speeds (slow, fast, very fast), reading different kinds of texts for different purposes (e.g., for relaxation, for information, for discussion at a later stage, etc.); reading between the lines.

 

4. Speaking:

Achieving desired clarity and fluency; manipulating paralinguistic features of speaking (voice quality, pitch, tone, etc.); pausing for effectiveness while speaking, task-oriented, interpersonal, informal and semiformal speaking; making a short classroom presentation.

 

5. Group Discussion:

Use of persuasive strategies including some rhetorical devices for emphasizing (for instance; being polite and firm; handling questions and taking in criticism of self; turn-taking strategies and effective intervention; use of body language).

 

6. Listening Comprehension:

Achieving ability to comprehend material delivered at relatively fast speed; comprehending spoken material in Standard Indian English, British English and American English, intelligent listening in situations such as an interview in which one is a candidate.

Code: IT104 L T/P C

Paper ID:15104 Paper: Engineering Mechanics 3 1 4

 

1. Force System: Introduction, force, principle of transmissibility of force, resultant of a force system, resolution of a force, moment of force about a line. Varigon’s theorem, couple, resolution of force into force and a couple, properties of couple and their application to engineering problems.

 

2. Equilibrium: Force body diagram, equations of equilibrium and their applications to engineering problems, equilibrium of two force and three force member

3. Structure: Plane truss, perfect and imperfect truss, assumption in the truss analysis, analysis of perfect plane trusses by the method of joints, method of section and graphical method.

 

4. Friction: Static and Kinetic friction, laws of dry friction, co-efficient of friction, angle of friction, angle of repose, cone of friction, frictional lock, friction of flat pivot and collered thrust bearings, friction in journal-bearing, friction in screws, derivation of equation.

 

T1 / T2 = le A and its application.

 

5. Distributed Forces: Determination of center of gravity, center of mass and centroid by direct integration and by the method of composite bodies mass moment of inertia and area moment of inertia by direct integration and composite bodies method, radius of gyration, parallel axis theorem, Pappus theorems, polar moment of inertial., Dynamics.

 

6. Kinematics of Particles: Rectilinear motion, plane curvilinear motion-rectangular co-ordinates, normal and tangential coordinates

 

7. Kinetics of Particles: Equation of motion, rectilinear motion and curvilinear motion, work energy equation, conservation of energy, impulse and momentum conservation of momentum, impact of bodies, co-efficient of restitution, loss of energy during impact.

 

8. Kinematics of Rigid Bodies: Concept of rigid body, types of rigid body motion, absolute motion, introduction to relative velocity, relative acceleration (Corioli’s component excluded) and instantaneous center of zero velocity, Velocity and acceleration polygons for four bar mechanism and single slider mechanism.

 

9. Kinetics of Rigid Bodies: Equation of motion, translatory motion and fixed axis rotation, application of work energy principles to rigid bodies conservation of energy.

 

10. Vibrations: Classification, torsional free vibrations-single rotor and two rotor system, Spring mass system-its damped (linear dash pot) and undamped free vibrations, spring in series and parallel, simple problems.


Text/Reference:

1. U.C. Jindal, “Engineering Mechanics”, Galgotia Publication.2000.

Mathematics - II

Paper Code: BA – 108

L T/P Credits

3 1 4


I. Linear Algebra: Linear Independence and dependence of vectors, Systems of linear equations – consistency and inconsisitency, Gauss elimination method, rank of a matrix, Bilinear, Quadratic, Hermitian, Skew – Hermitian Forms, Eigenvalues and Eigenvectors of a matrix, diagonalization of a matrix, Cayley – Hamilton Theorem (without proof).

10 hrs.


II. Ordinary Differential Equations: Formation of ODE’s, definition of order, degree and solutions. ODE’s of first order: Method of separation of variables, homogeneous and nonhomogeneous equations, exactness and integrating factors, linear equations and Bernouilli equations, operator method, method of undetermined coefficients and nonhomogenous, operator method, method of undetermined coefficients and variation of parameters. Solutions of simple simultaneous ODE’s. Power series method of solution of DE, Legendre’s Equation, Legendre’s Polynomials, Bessel’s equation, Bessel’s function.

10 hrs.


III. Complex Variables: Curves and Regions in the Complex Plane, Complex Functions, Limits, Derivative, Analytic Function, Cauchy-Riemann Equations, Laplace’s Equation, Linear Fractional Transformations, Conformal Mapping, Complex Line Integral, Cauchy’s Integral Theorem, Cauchy’s Integral Formula, Derivatives of Analytic Function, Power Series, Taylor Series, Laurent Series, Methods for obtaining Power Series, Analyticity at Infinity, Zeroes, Singularities, Residues, Residue Theorem, Evaluation of Real Integrals.

18 hrs.


IV. Probability: Definition of Sample Space, Event, Event Space, Conditional Probability, Additive and Multiplicative law of Probability, Baye’s Law theorem, Application based on these results.

5 hrs.


Suggested Text Books & References


  1. M. K. Singhal & Asha Singhal “Algebra”, R. Chand & Co.

  2. Shanti Narayan, “Matrices” S. Chand & Co.

  3. G. B. Thomas and R. L. Finney, “Calculus and Analytic Geometry” Addison Wesley / Narosa.

  4. E. Kreyszig, “Advanced Engineering Mathematics”, 5th Edition, Wiley Eastern Ltd. 1985.

  5. N. M. Kapoor “Differential Equations” Pitamber Pub. Co.

  6. Schaum Outline Series “Differential Equations” Mc. Graw Hill.

  7. Schaum Outline Series “Complex Variables” Mc. Graw Hill.

  8. Schaum Outline Series “Linear Algebra” Mc. Graw Hill.

  9. Schaum Outline Series “Probability” Mc. Graw Hill.



PHYSICS - II


Paper Code: BA – 110

L T/P Credits

2 1 3


I. Quantum Mechanics

Wave particle duality, deBroglie waves, evidences for the wave nature of matter – the experiment of Davisson and Germer, electron diffraction, physical interpretation of the wave function and its properties, the wave packet, the uncertainty principle


4 hrs.


The Schrodinger wave equation (1 – dimensional), Eigen values and Eigen functions, expectation values, simple Eigen value problems – solutions of the Schrodinger’s equations for the free particle, the infinite well, the finite well, tunneling effect, simple harmonic oscillator (qualitative), zero point energy.


6 hrs.


II. Quantum Statistics

The statistical distributions: Maxwell Boltzmann, Bose-Einstein and Fermi-Dirac statistics, their comparisons, Ferminos and Bosons Applications: Molecular speed and energies in an ideal gas. The Black body spectrum, the failure of classical statistics to give the correct explanations – the applicatons of Bose-Einstein statistics to the Black body radiation spectrum, Fermi-Dirac distribution, free electron theory, electronic specific heats, Fermi energy and average energy – its significance.


10 hrs.


III Band Theory of Solids

Origin of energy bands in solids, motion of electrons in a periodic potential – the Kronig – Penny model. Brillouin zones, effective mass, metals, semi-conductors and insulators and their energy band structures. Extrinsic and Intrinsic semiconductors, doping – Fermi energy for doped and undoped semiconductors, the p-n junction (energy band diagrams with Fermi energy), the unbiased diode, forward and reverse biased diodes – tunnel diodes, zener diode, photo diode its characteristics, LED, Introduction to transistors.


10 hrs.


IV Overview of Electro – Magnetism

Maxwell’s Equations: The equation of continuity for Time – Varying fields, Inconsistency in ampere’s law Maxwell’s Equations, conditions at a Boundary Surface, Introduction to EM wave.


4 hrs.


Recommended Books


  1. Concept of Modern Physics: A. Beiser

  2. Modern Physics: Kenneth Krane

  3. Solid State Physics by Kittle

  4. Electronic Principles: Malvino

  5. Statistical Mechanics by Garg Bansal and Ghosh (TMH)


STATISTICS, THEORY OF PROBABILITY AND LINEAR PROGRAMMING


Paper Code: BA – 114

L T/P Credits

2 1 3


  1. Probability, Statistics


Elementary Probability theory, Random Variables: discrete and continuous, distribution and density functions, Expectation, Moments, Moment Generating function, Skewness, Kurtosis, Binomial, Poisson and Normal distribution, Method of least square for linear and parabolic curves, Correlation of a bivariate distribution, Linear regression, properties of regression coefficient, Sampling distribution of mean and variance, Testing of Statistical hypothesis, F-test, T-test and chi square test.

17 hrs.


  1. Linear Programming


Mathematical Preliminaries, Formulation of the Problem and Solution by Graphical method. The simplex Method, Dual problem formulation and Solution, Application to Transportation and Assignment Problems.


17 hrs.


Suggested Text Books & References


  1. Irwin Miller and John E. Freund, “Probability and Statistics for Engineers” PHI

  2. Spiegel, “Probability and Statistics”, Schaum Series

  3. S C. Gupta and V. K. Kapur “Fundamentals of Mathematical Statistics”, Sultan Chand & Sons.

  4. Kambo N. S., “Mathematical Programming Techniques”, Mc Graw Hill

  5. Hadley, “Linear Programming” Narosa Publications.



CHEMISTRY – II


Paper Code: BA – 118

L T/P Credits

2 1 3


  1. Atomic Structure: Introduction to wave mechanics, the Schrodinger equation as applied to hydrogen atom, origin of quantum numbers, Long form of periodic table on the basis of Electronic configuration s, p, d, f block elements periodic trends, Ionisation potential, atomic and ionic radii electron affinity & electro-negativity.




  1. Chemical Bonding: Ionic bond, energy changes, lattice energy Born Haber Cycle, Covalent bond-energy changes, Potential energy curve for H2 molecule, characteristics of covalent compound, co-ordinate bond-Werner’s Theory, effective atomic numbers, A hybridization and resonance, Valence Shell Electron Repulsion theory (VSEPR), Discussion of structures of H2O, NH3, BrF3, SiF4, Molecular orbital theory, Linear combination of atomic orbitals (LCAO) method. Structure of simple homo nuclear diatomic molecule like H2, N2, O2, F2.




  1. Thermochemistry: Hess’s Law, heat of reaction, effect of temperature on heat of reaction at constant pressure (Kirchoff’s Equation) heat to dilution, heat of hydration, heat of neutralization and heat of combustion, Flame temperature.




  1. Reaction Kinetics: Significance of rate law and rate equations, order and molecularity, Determinations of order of simple reactions-experimental method, Equilibrium constant and reaction rates-Lindermann, collision and activated complex theories, complex reactions of 1st order characteristics of consecutive, reversible and parallel reactions-Steady state and non-steady state approach.




  1. Electron Chemistry: Conductance of electrolytic solutions transference number and its determination, Kohlrausch’s Law of in-dependent migration of ions, Interionic attraction theory, activity and activity coefficient of strong electrolytes.




  1. Catalysis: Criteria for Catalysis-Homogeneous Catalysis, acid-base, Enzymatic catalysis, Catalysis by metal salts, Heterogeneous catalysis – concept of promoters, inhibitors and poisoning, Physiosorption, Chemisorption, Suface area, Industrially important process. Theories of catalysis.




  1. Phase rule: Derivation of phase rule, Significance of various terms involved in the definitions phase diagram of one competent system miscibility, interpolations of two component system diagrams.



Code No.: IT 128 L T/P C

PaperID: 15128 Paper: Data Structures 3 0 3  

 

Unit – 1:

Introduction to programming methodologies and design of algorithms. Abstract Data Type, array, array organization, sparse array. Stacks and Stack ADT, Stack Manipulation, Prefix, infix and postfix expressions, their interconversion and expression evaluation. Queues and Queue ADT, Queue manipulation. General Lists and List ADT, List manipulations, Single, double and circular lists.


Unit – 2:

Trees, Properties of Trees, Binary trees, Binary Tree traversal, Tree manipulation algorithms, Expreession trees and their usage, binary search trees, AVL Trees, Heaps and their implementation.


Unit – 3:

Multiway trees, B-Trees, 2-3 trees, 2-3-4 trees, B* and B+ Trees. Graphs, Graph representation, Graph Traversal.


Unit – 4:

Sorting concept, order, stability, Selection sorts (straight, heap), insertion sort (Straight Insertion, Shell sort), Exchange Sort (Bubble, quicksort), Merge sort (only 2-way merge sort). Searching – List search, sequential search, binary search, hashing concepts, hashing methods (Direct, subtraction, modulo-division, midsquare, folding, pseudorandom hashing), collision resolution (by open addressing: linear probe, quadratic probe, pseudorandom collision resolution, linked list collision resolution), Bucket hashing.


Text:

[1] R. F. Gilberg, and B. A. Forouzan, “Data structures: A Pseudocode approach with C”, Thomson Learning.

[2] A .V. Aho, J . E . Hopcroft, J . D . Ulman “Data Structures and Algorithm”, Pearson Education.

Reference


[2] S. Sahni and E. Horowitz, “Data Structures”, Galgotia Publications.

[3] Tanenbaum: “Data Structures using C”, Pearson/PHI.

[4] T .H . Cormen, C . E . Leiserson, R .L . Rivest “Introduction to Algorithms”, PHI/Pearson.

[5] V . Manber “Introduction to Algorithms – A Creative Approach”, Pearson Education.

[6]      Ellis Horowitz and Sartaj Sahni “Fundamentals of Computer Algorithms”, Computer Science Press.

Practicals:


Code: BA156 L T/P C

Paper ID:99156 Paper: Physics– II Lab. 0 2 1


Practicals based on BA110.


Code: BA162 L T/P C

Paper ID:99162 Paper: Chemistry– II Lab. 0 2 1


Practicals based on BA118.


Code: IT152 L T/P C

Paper ID:15152 Paper: Data Structure Lab. 0 2 1


Practicals based on IT128.


Code: IT154 L T/P C

Paper ID:15154 Paper: Engineering Graphics Lab.0 2 1


Basic Concepts

I. S. drawing conventions, line symbols, kinds of line, drawing sheet lay-out, rules of printing, preferred scales.

 

2. Projections

Perspective, orthographic, isometric and oblique projections, isometric scale, isometric drawing, Technical sketching.

 

3. Shape Description (External)

Multiplanar representation in first- and third angle systems of projections, glass-box concept, sketching of orthographic views from pictorial views, precedence of lines.

 

Sketching of pictorial (isometric and oblique) views from Multiplanar orthographic views, Reading exercises, Missing line and missing view exercises.

 

4. Shape Description (Internal)

 

Importance of sectioning, principles of sectioning, types of sections, cutting plane representation, section lines, conventional practices.

 

5. Size Description

 

Dimensioning, tools of dimensioning, Size and location dimensions, Principles of conventions of dimensioning, Dimensioning exercises.

 

6. Computer Aided Drafting

 

Basic concepts and use.


Paper ID: 15201 L T/P C

Paper Code: IT201 Paper: Computational Methods 3 1 4


Unit – 1:

Errors in computation, Review of Taylor Series, Mean Value Theorem. Representation of numbers (integers and Floating Point). Loss of Significance in Computation.


Location of Roots of functions and their minimization: Bisection method (convergence analysis and implementation), Newton Method (convergence analysis and implementation), Secant Method (convergence analysis and implementation). Unconstrained one variable function minimization by Fibonnaci search, Golden Section Search and Newton’s method. Multivariate function minimization by the method of steepest descent, Nelder- Mead Algorithm.


Unit – 2:

Interpolation and Numerical Differentiation: Interpolating Polynomial, Lagrange Form, Newton Form, Nested Form, Inverse Interpolation, Neville’s Algorithm, Errors in interpolation, Estimating Derivatives and Richardson Extrapolation.


Numerical Integration: Definite Integral, Riemann – Integrable Functions, Traezoid Rule, Romberg Algorithm, Simpson’s Scheme, Gaussian Quadrature Rule.


Unit – 3:

Linear System of Equations: Conditioning, Gauss Elimination, Pivoting, Cholesky Factorization, Iterative Methods, Power Method


Approximation by Spline Function: 1st and 2nd Degree Splines, Natural Cubic Splines, B Splines, Interpolation and Approximation.


Unit – 4:

Differential Equations: Euler method, Taylor series method of higher orders, Rubge – Kutta method of order 2 and 4, Runge – Kutta – Fehlberg method, Adas – Bashforth – Moulton Formula. Solution of Parabolic, Hyperbolic and Elliptic PDEs.


Implementation to be done in C/C++.


Text:

[1] D. Kincaid and W. Cheney, “Numerical Analysis: Mathematics of Scientific Computing”, Thomson/Brooks-Cole., 2001.

Reference:

[2] D. Kincaid and W. Cheney, “Numerical Analysis”, Thomson/Brooks-Cole., 2002.

[3] R. L. Burden and J. D. Faires, “Numerical Analysis”, Thomson/Brooks-Cole, 2001.

[4] W. Y. Yang, W. Cao, T.-S. Chung and J. Morris, “Applied Numerical Methods Using Matlab”, Wiley, 2005.

[5] J. H. Mathews and K. D. Fink, “Numerical Methods Using Matlab”, Printice Hall, 1999.

[6] S. D. Conte and C. de Boor, “Elementary Numerical Analysis: An Algorithmic Approach”, McGraw Hill, 1980.

[7] J. D. Hoffman, “Numerical Methods for Engineers and Scientists”, Marcel Dekker Inc., 2001.

[8] J. Stoer and R. Bulirsch, “Introduction to Numerical Analysis”, Springer – Verlag, 1993.

[9] W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, “Numerical Recipes in C”, CUP, 2002.

[10] W. Boehm and H. Prautzch, “Numerical Methods”, Universities Press, 2005.

[11] C. F. Gerald, and P. O. Wheatly, “Applied Numerical Analysis”, Pearson, 1994

[12] H. M. Antia, “Numerical Methods for Scientists & Engineers”, Hindustan Book Agency, 2002.

Paper ID: 15203 L T/P C

Paper Code: IT203 Paper: Circuits and Systems 3 1 4


Unit – 1:

Review of complex variables: Complex Numbers, Algebra of Complex Numbers, Functions of Complex Variable, Taylor and Laurant Series, Differentiation, Integration, Cauchy Theorem, Residue Theorem.


Unit – 2:

Signals, Classification of Signals, Systems, Classification of Systems, Linear Time Invariant (LTI) Systems; Laplace Transform, z-Transform, Fourier Series and Transform (Continuous and Discrete) and their properties. Laplace Transform and Continuous Time LTI systems, z-Transform and Discrete Time LTI systems, Fourier analysis of signals and systems, State Space Analysis.


Unit – 3:

Circuits: Voltage, Ideal Voltage Source, Current Ideal Current Sources, Classification of Circuits, Ohm’s Law, Resistively, Temperature Effect, Resistors, Resistor Power Absorption, Nominal Values and Tolerances, Colour Codes, Open and Short Circuits, Internal Resistance.


DC Circuits: Series and Parallel Circuits, Kirchhoff’s Voltage and Current Law, Mesh Analysis, Loop Analysis, Nodal Analysis, Thevenin’s and Norton’s Theorem, Maximum Power Transfer Theorem, Superposition Theorem, Millman’s Theorem, Y -  and - Y Transformation, Bridge Circuits.


Unit – 4:

AC Circuits: Circuits containing Capacitors and Inductors, Transient Response, Alternating Current and Voltages, Phasors, Impedences and Admittance, Mesh Analysis, Loop Analysis, Nodal Analysis, Thevenin’s and Norton’s Theorem, Y -  and - Y Transformation, Bridge Circuits. Resonant Circuits, Complex Frequency and Network Function, Two port Networks. Passive Filters.

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