Step functions are prevalent throughout engineering and physics. For example, they might represent voltage being turned on and off. In this lecture we investigate step functions from a mathematical perspective, and particularly, look at their Laplace transforms. The goal of the lecture is to solve ODEs with discontinuous right-hand-sides given by step functions. Such ODEs are not solvable through any of the other methods we developed in this course, meaning that the Laplace transform is optimally suited to solving them. Examples are provided throughout the lecture to demonstrate the theory.
Table of Laplace transformations: https://tutorial.math.lamar.edu/classes/de/laplace_table.aspx
This course is taught by Jason Bramburger for Concordia University.
More information on the instructor: https://hybrid.concordia.ca/jbrambur/
Follow @jbramburger7 on Twitter for updates.
