Additional material

Videos from Math 4D

Morten Nome, the lecturer for Math 4D (almost the same as Math 4N), made some interesting videos.

Fourier series approximation

Fourier series approximation of the sawtooth wave

Wave Equation

Here are different animations of vibrating strings.

Normal modes

Fundamental mode Second mode Third mode Fourth mode

Initial conditions (no initial velocity)

Quadratic function Triangular wave

Other videos

These are nice real-life experiments on YouTube:

video 1

video 2

video 3

2017-12-06, Louis-Philippe Thibault