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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. |
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Series Solutions to Differential Equations - http://www.math.hawaii.edu/~lee/calculus/#Series-Sol
A set of downloadable lectures. |
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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. |
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Waves and Oscillations - http://www.maths.gla.ac.uk/~fhg/waves/
Teaching resources developed by Frances Goldman, University of Glasgow. |
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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. |