fourier series - using Sage
Channel: usnamathweb
Date: 2013-05-11

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.