Unit III: Fourier Series and Laplace Transform

ODE's with Periodic Input, Resonance

« Previous | Next »

Session Overview

We learn how to solve constant coefficient DE’s with periodic input. The method is to use the solution for a single sinusoidal input, which we developed in Unit 2, and then superposition and the Fourier series for the input. We also discuss the relationship of Fourier series to sound waves.

Session Activities

Read the course notes:

Watch the lecture video clip:

Read the course notes:

Learn from the Mathlet materials:

Read the course notes:

Watch the lecture video clips:

Learn from the Mathlet materials:

Watch the problem solving video:

Complete the practice problems:

Check Yourself

Complete the problem sets:

« Previous | Next »

Course Info

Learning Resource Types

theaters Lecture Videos
theaters Recitation Videos
grading Exams with Solutions
laptop_windows Simulations
notes Lecture Notes
assignment_turned_in Problem Sets with Solutions