Chalmers University College, Göteborg, Sweden

**Abstract**

One of the advantages of using *Mathematica* in basic math courses
is that it opens the possibility to create experiments in mathematics.
In courses for students in electrical engineering at Chalmers University
College we have used sound as an experimental tool to investigate aspects
of mathematics that otherwise tend to elude students.

We give examples from two areas: ordinary differential equations and
Fourier analysis. In the first example, we let *Mathematica* solve
a differential equation with a parameter and then play the sound of the
solution for different values of that parameter. The object is to find
beat and resonance by listening. In the second example, we expand different
functions in Fourier series and then listen to the functions and partial
sums of these series.