Vibrating Drumhead - A set of Mathematica packages which outline solutions of the wave equation in various coordinates.

Series Solutions to Differential Equations - A set of downloadable lectures.

Partial Differential Equations - A set of lectures on numerical solutions and applications to physics.

Z-Transform Home Page - The Z-Transform is used to take discrete time domain signals into a complex-variable frequency domain. These pages deliver a tutorial package on the web.

Pseudo-Differential Operators - These lecture notes cover a first year graduate course that was given on pseudo-differential operators. The calculus on manifolds is developed and applied to prove propagation of singularities and the Hodge decomposition theorem.

Waves and Oscillations - Teaching resources developed by Frances Goldman, University of Glasgow.