See also:

• Science: Math: Education  (829)

Differential Equations with Boundary Value Problems - - By S. Hollis (Prentice Hall, 2002). Overview of contents, errata, software and link to purchasing page.

Green's Functions - - Lecture notes introducing this technique for solving first and second order differential equations. Scanned (GIF) by Joceline Lega.

Introduction to Ordinary Differential Equations with Mathematica - - Contains a number of ODE labs, and an extremely useful Mathematica Package ode.m which allows series solutions of ODEs.

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.

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

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

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