
Summary
In this tutorial we will look at how waves
can be represented mathematically using the sine function for the
displacement. We then look at how calculus can be used to relate
other properties to the wave motion. We consider a mathematical
approach to phase. We then go on to see how waves superpose, and use a
mathematical model to show the idea of beats. We then look at how
Fourier analysis can break down a complex waveform into simple sine
waves, and how reversing the process can enable us to synthesis musical
sounds.
Key Words
Sinusoidal waveform, phase, superposition,
harmonics, beats, Fourier Analysis 
Links 