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Vibrating Drumhead
A set of Mathematica packages which outline solutions of the wave equation in various coordinates. (infos)Series Solutions to Differential Equations
A set of downloadable lectures. (infos)
Waves and Oscillations
Teaching resources developed by Frances Goldman, University of Glasgow. (infos)
Green's Functions
Lecture notes introducing this technique for solving first and second order differential equations. Scanned (GIF) by Joceline Lega. (infos)
Differential Equations with Boundary Value Problems
By S. Hollis (Prentice Hall, 2002). Overview of contents, errata, software and link to purchasing page. (infos)
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. (infos)
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. (infos)