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