Lecture Topics
| |
* Standing waves
* Vibrating string
* Wave equation
* Fourier series
* Fourier decomposition
Lecture Video: Wave Equation, Standing Waves, Fourier Series
The standing wave solution of the wave equation is the focus this lecture. Using a vibrating string as an example, Prof. Lee demonstrates that a shape can be decomposed into many normal modes which could be used to describe the motion of the string.
Lecture Notes
Typed Notes for Lecture 9 (PDF - 1.1MB)
Handwritten Notes for Lecture 9 (PDF - 1.7MB)
Textbook Reading
Chapter 5: Waves (PDF - 1.4MB) (section 5.3 to end)
Chapter 6: Continuum Limit and Fourier Series (PDF - 1.2MB) (through section 6.1)
Problem Set
Problem Solving Help Video*
Traveling Waves without Damping
In-class Demonstrations
| HOW IT’S DONE | SEE IT IN THE LECTURE |
|---|---|
| Bell Labs Wave Machine | and |
| Rijke Tube |
Related Resources
Video: Air Conditioner Noise by Prof. Yen-Jie Lee
Video: Intro to Fourier Series and How to Calculate Them by Dr. Chris Tisdell
Webpage: Fourier Series: Basics on OCW’s 18.03SC Differential Equations course
* Note: These Problem Solving Help video was originally produced as part of a physics course that is no longer available on OCW.