Transform Techniques for Engineers N7SE8SBMW1

URI	`m2://res/N7SE8SBMW1`
Kind	course
Creators	Srinivasa Rao Manam (instructor)
Date	2019-05-06
Scope	in
Ids	course 03v0r5n49:111106111

Expressions

e1: edition

Language	en
Date	2019-05-06

m1: page, IIT Madras (record). nptel 111106111
m2: page, 2019-05-06 (record). nptel 111106111

Contents

part 1: Week 1
session 1: Introduction to Fourier series
session 2: Fourier series - Examples
session 3: Complex Fourier series
session 4: Conditions for the Convergence of Fourier Series
session 5: Conditions for the Convergence of Fourier Series(continued)
part 2: Week 2
session 6: Use of Delta function in the Fourier series convergence
session 7: More Examples on Fourier Series of a Periodic Signal
session 8: Gibb's Phenomenon in the Computation of Fourier Series
session 9: Properties of Fourier Transform of a Periodic Signal
session 10: Properties of Fourier transform (continued)
part 3: Week 3
session 11: Parseval's Identity and Recap of Fourier series
session 12: Fourier integral theorem-an informal proof
session 13: Definition of Fourier transforms
session 14: Fourier transform of a Heavyside function
session 15: Use of Fourier transforms to evaluate some integrals
part 4: Week 4
session 16: Evaluation of an integral- Recall of complex function theory
session 17: Properties of Fourier transforms of non-periodic signals
session 18: More properties of Fourier transforms
session 19: Fourier integral theorem - proof
part 5: Week 5
session 20: Application of Fourier transform to ODE's
session 21: Application of Fourier transforms to differential and integral equations
session 22: Evaluation of integrals by Fourier transforms
session 23: D'Alembert's solution by Fourier transform
part 6: Week 6
session 24: Solution of Heat equation by Fourier transform
session 25: Introduction to Laplace transform
session 26: Laplace transform of elementary functions
part 7: Week 7
session 27: Properties of Laplace transforms
session 28: Properties of Laplace transforms (continued)
session 29: Methods of finding inverse Laplace transform
part 8: Week 8
session 30: Heavyside expansion theorem
session 31: Review of complex function theory
session 32: Inverse Laplace transform by contour integration
part 9: Week 9
session 33: Application of Laplace transforms-ODEs'
session 34: Solutions of initial or boundary value problems for ODEs'
session 35: Solving first order PDE's by Laplace transform
part 10: Week 10
session 36: Solution of wave equation by Laplace transform
session 37: Solving hyperbolic equations by Laplace transform
session 38: Solving heat equation by Laplace transform
session 39: Initial boundary value problems for heat equations
part 11: Week 11
session 40: Solution of integral equations by Laplace transform
session 41: Evaluation of integrals by Laplace transform
session 42: Introduction to Z-transforms
session 43: Properties of Z-transforms
part 12: How to access the portal
session 44: Inverse Z-transforms
session 45: Solution of difference equations by Z-transforms
session 46: Evaluation of infinite sums by Z-transforms
session 47: conclusions

Catalogue records

nptel: 111106111 (manifestation)
nptel_video: 111106111 (manifestation)