Transform Techniques for Engineers

Duration:12 weeks

Srinivasa Manam

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What you will learn

  • Mathematics

The aim of the course is to teach various transform techniques that are essential for a student of physical sciences and engineering. They include, Fourier series, Fourier transforms, Laplace transform and Z-transforms.

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Use of Delta function in the Fourier series convergence
Preview 44:02
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More Examples on Fourier Series of a Periodic Signal
Preview 40:05
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Gibb's Phenomenon in the Computation of Fourier Series
Preview 47:01
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Properties of Fourier Transform of a Periodic Signal
Preview 45:14
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Properties of Fourier transform (continued)
Preview 49:45

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Parseval's Identity and Recap of Fourier series
Preview 44:47
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Fourier integral theorem-an informal proof
Preview 37:06
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Definition of Fourier transforms
Preview 43:31
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Fourier transform of a Heavyside function
Preview 45:11
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Use of Fourier transforms to evaluate some integrals
Preview 38:04

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Evaluation of an integral- Recall of complex function theory
Preview 44:05
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Properties of Fourier transforms of non-periodic signals
Preview 54:36
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More properties of Fourier transforms
Preview 51:59
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Fourier integral theorem - proof
Preview 55:27

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Application of Fourier transform to ODE's
Preview 54:30
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Application of Fourier transforms to differential and integral equations
Preview 51:42
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Evaluation of integrals by Fourier transforms
Preview 57:10
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D'Alembert's solution by Fourier transform
Preview 48:06

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Solution of Heat equation by Fourier transform
Preview 47:19
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Solution of Heat and Laplace equations by Fourier transform
Preview 53:51
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Introduction to Laplace transform
Preview 41:36
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Laplace transform of elementary functions
Preview 41:47

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Properties of Laplace transforms
Preview 53:18
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Properties of Laplace transforms (continued)
Preview 41:58
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Methods of finding inverse Laplace transform
Preview 48:35

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Heavyside expansion theorem
Preview 51:07
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Review of complex function theory
Preview 52:09
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Inverse Laplace transform by contour integration
Preview 52:10

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Application of Laplace transforms-ODEs'
Preview 46:45
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Solutions of initial or boundary value problems for ODEs'
Preview 44:10
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Solving first order PDE's by Laplace transform
Preview 43:59

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Solution of wave equation by Laplace transform
Preview 42:27
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Solving hyperbolic equations by Laplace transform
Preview 54:24
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Solving heat equation by Laplace transform
Preview 49:14
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Initial boundary value problems for heat equations
Preview 48:58

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Solution of integral equations by Laplace transform
Preview 55:44
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Evaluation of integrals by Laplace transform
Preview 60:07
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Introduction to Z-transforms
Preview 44:18
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Properties of Z-transforms
Preview 52:45

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Inverse Z-transforms
Preview 48:23
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Solution of difference equations by Z-transforms
Preview 53:46
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Evaluation of infinite sums by Z-transforms
Preview 42:04
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conclusions
Preview 12:48
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Meet Your Instructor
Srinivasa Manam
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Instructor
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1 Courses
About Instructor

S.R. Manam is an Associate Professor at Department of Mathematics, IIT Madras and he works on the application of differential and integral equation techniques in wave structure interactions.

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Free

  • Course Duration
    37 h 33 m 25 s
  • Course Level
    Intermediate
  • Student Enrolled
    0
  • Language
    English
This Course Includes
  • 37 h 33 m 25 s Video Lectures
  • 0 Quizzes
  • 0 Assignments
  • 0 Downloadable Resources
  • Full Lifetime Access
  • Certificate of Completion