Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems

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Taught by OCW
  • Currently 4.0/5 Stars.
5218 views | 2 ratings
Lesson Description:

Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems -- Lecture 21. Some more discussion, proof, and application for the Laplace Transform.

Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 27, 2008). License: Creative Commons BY-NC-SA.
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Additional Resources:
Questions answered by this video:
  • What is the convolution formula?
  • What is the Laplace Transform?
  • How do you use the Laplace Transform?
  • What are some applications of the Laplace Transform?
  • What is f * g?
  • Why does f * g = g * f?
  • Are Laplace Transforms commutative?
  • What is the inverse Laplace Transform?
  • What are some applications of the convolution function?
  • Staff Review

    • Currently 4.0/5 Stars.
    A really difficult and involved lecture. Many applications of the Laplace Transform are discussed, and the convolution formula is explained. Properties of the transform are also discussed. You will have a much deeper understanding of the Laplace Transform after this lecture.