An introduction to studying linear surface waves on an infinite domain. In particular, the problem of finding the time evolution of a small perturbation of the surface of an inviscid and incompressible fluid.
Using trigonometric interpolation and the discrete Fourier transform to fit a curve to equally spaced data points.
Programming with sounds and using Fourier transforms to filter sound signals.
Brief introduction to Discrete Fourier Transform and the Fast Fourier Transform.
Calculating the speed of a passing train by Fourier analysis of the corresponding sound file.