Lecture Topics

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
Inclass Demonstrations
SEE IT IN THE LECTURE 

Bell Labs Wave Machine and Bell Labs Wave Machine 
Rijke Tube 
Related Resources
Video: Air Conditioner Noise by Prof. YenJie 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.