Education (Differential Equations)

Education Sites:

Vibrating Drumhead Vibrating Drumhead: A set of Mathematica packages which outline solutions of the wave equation in various coordinates. (Education) http://www.ma.iup.edu/projects/CalcDEMma/drum/drum.html Series Solutions to Differential Equations Series Solutions to Differential Equations: A set of downloadable lectures. (Education) http://www.math.hawaii.edu/~lee/calculus/#Series-Sol Introduction to Ordinary Differential Equations with Mathematica 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. (Education) http://math.cl.uh.edu/math/ode/ode.html Waves and Oscillations Waves and Oscillations: Teaching resources developed by Frances Goldman, University of Glasgow. (Education) http://www.maths.gla.ac.uk/~fhg/waves/ Differential Equations with Boundary Value Problems Differential Equations with Boundary Value Problems: By S. Hollis (Prentice Hall, 2002). Overview of contents, errata, software and link to purchasing page. (Education) http://www.math.armstrong.edu/faculty/hollis/dewbvp Green's Functions Green's Functions: Lecture notes introducing this technique for solving first and second order differential equations. Scanned (GIF) by Joceline Lega. (Education) http://www.math.arizona.edu/~lega/583/Fall98/lectnotes/GF1.html Pseudo-Differential Operators 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. (Education) http://arxiv.org/abs/math.AP/9906155