Transform Techniques for Engineers

By ResearcherStore Categories: C-Science
Wishlist Share
Share Course
Page Link
Share On Social Media

About Course

Transform Techniques.

Course Intro: 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,s and Z-transforms.

Course outline

1-Introduction to Fourier series

2-Finding Fourier series of a periodic function

3-Fourier transforms over the real line

4-Fourier transform and its properties

5-Fourier transform and its applications

6-Preliminaries on complex variable techniques

7-Introduction to Laplace transform

8-Laplace transform and its properties

9-Laplace transform and its properties

10-Laplace transform and its applications to ODE and PDEs

11-Z-transforms

12-Z-transforms and its properties and applications

Join now!

What Will You Learn?

  • Learn the various transform techniques that are essential for a student of physical sciences and engineering. They include Fourier series, Fourier transforms, Laplace transform,s and Z-transforms.

Course Content

Transform Techniques for Engineers

  • Use of Delta function in the Fourier series convergence
    00:00
  • Fourier series – Examples
    00:00
  • Complex Fourier series
    00:00
  • Conditions for the Convergence of Fourier Series
    00:00
  • Conditions for the Convergence of Fourier Series(continued)
    00:00
  • Introduction to Fourier series
    00:00
  • More Examples on Fourier Series of a Periodic Signal
    00:00
  • Gibb’s Phenomenon in the Computation of Fourier Series
    00:00
  • Properties of Fourier Transform of a Periodic Signal
    00:00
  • Properties of Fourier transform (continued)
    00:00
  • Parseval’s Identity and Recap of Fourier series
    00:00
  • Fourier integral theorem-an informal proof
    00:00
  • Definition of Fourier transforms
    00:00
  • Fourier transform of a Heavyside function
    00:00
  • Use of Fourier transforms to evaluate some integrals
    00:00
  • Evaluation of an integral- Recall of complex function theory
    00:00
  • Properties of Fourier transforms of non-periodic signals
    00:00
  • More properties of Fourier transforms
    00:00
  • Fourier integral theorem – proof
    00:00
  • Application of Fourier transform to ODE’s
    00:00
  • Application of Fourier transforms to differential and integral equations
    00:00
  • Evaluation of integrals by Fourier transforms
    00:00
  • D’Alembert’s solution by Fourier transform
    00:00
  • Solution of Heat equation by Fourier transform
    00:00
  • Solution of Heat and Laplace equations by Fourier transform
    00:00
  • Introduction to Laplace transform
    00:00
  • Laplace transform of elementary functions
    00:00
  • Properties of Laplace transforms
    00:00
  • Properties of Laplace transforms (continued)
    00:00
  • Methods of finding inverse Laplace transform
    00:00
  • Heavyside expansion theorem
    00:00
  • Review of complex function theory
    00:00
  • Inverse Laplace transform by contour integration
    00:00
  • Application of Laplace transforms-ODEs’
    00:00
  • Solutions of initial or boundary value problems for ODEs’
    00:00
  • Solving first order PDE’s by Laplace transform
    00:00
  • Solution of wave equation by Laplace transform
    00:00
  • Solving hyperbolic equations by Laplace transform
    00:00
  • Solving heat equation by Laplace transform
    00:00
  • Initial boundary value problems for heat equations
    00:00
  • Solution of integral equations by Laplace transform
    00:00
  • Evaluation of integrals by Laplace transform
    00:00
  • Introduction to Z-transforms
    00:00
  • Properties of Z-transforms
    00:00
  • conclusions
    00:00
  • Evaluation of infinite sums by Z-transformson
    00:00
  • Solution of difference equations by Z-transforms
    00:00
  • Inverse Z-transforms
    00:00

Student Ratings & Reviews

No Review Yet
No Review Yet
ResearcherStore

Want to receive push notifications for all major on-site activities?