Directory of Education Resources

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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.

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