fourier series - using Sage

This is a 30 minute screencast I made that shows some ways to use Sage (http://sagemath.org) to illustrate Fourier series and some of their applications. Some applications included are approximating a waveform for a flute and solving the heat equation of a wire using Fourier's method. The screencast follows a Sage worksheet. The Sage worksheet is available from http://boxen.math.washington.edu/home/wdj/teaching/FourierSeriesSage.sws and (as a pdf only) from http://boxen.math.washington.edu/home/wdj/teaching/FourierSeriesSage.pdf. You can download Sage from http://sagemath.org/. It is a cross-platform free, open-source mathematics software program similar to the (expensive commercial programs) Mathematica, Maple or Matlab. This screen-cast and the sws worksheet are both licensed under the Creative Commons 3.0 BY-SA license. http://creativecommons.org/licenses/by-sa/3.0/ Feel free to re-use and redistribute.