In this video, I introduce the Laplace Transform and define it as an improper integral. I generate two simple examples and then I go over the standard Laplace Transforms for important functions.
00:00 Introducing the Laplace Transform
01:08 The definition of the Laplace Transform
02:24 Example 1- L[1}
05:13 Example 2- L[t]
08:43 Power function Laplace transform
09:37 Exponential Laplace Transforms
10:20 Sine and Cosine Laplace Transforms
11:44 Table of standard Laplace Transforms