This page consists of two applets for investigating approximation of waves by trigonometric series. One applet is a pretty standard approximation of a square wave, and the other uses audio files to allow the user to hear the successive approximations to the sound wave of a given musical tone. This is not only interesting from a calculus or numerical analaysis point of view, but it is also written in a way that would give nice motivation for students first studying trigonometric functions as appropriate models for periodic behavior. Exercises and suggested reading are included on the same page.
Open Trigonometric Series Approximations in a new window