6 videos in "LaPlace Transform and other functions"
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Introduction to the Laplace Transform; Basic Formulas Pt 1
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Introduction to the Laplace Transform; Basic Formulas Pt 2
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Derivative Formulas; Using the Laplace Transform to Solve Linear ODEs
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Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems
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Using Laplace Transform to Solve ODEs with Discontinuous Inputs
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Use with Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions
Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems
Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems
1724 views - 00:44:19
Part of video series Differential Equations Course acquired through MIT OpenCourseWare
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.
More info at: http://ocw.mit.edu/terms
More info at: http://ocw.mit.edu/terms
Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems -- Lecture 21. Some more discussion, proof, and application for the Laplace Transform.
- Lecture Notes - Lecture Notes
- Supplementary Notes - Chapter 17 Supplementary Notes written by Prof. Miller
- Recitation Problems - Recitation Problems and classwork exercises
- Recitation Solutions - Recitation problem solutions
- Convolution: Accumulation Java Applet - A Convolution Java Applet to discover Accumulation.
- Convolution: Flip and Drag Java Applet - A Java applet to help you discover convolution by using flip and drag.
- 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?
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.
