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Home / Science / Math / Differential Equations / Lecture Notes and Learning Material
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Web Sites
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- Green's Functions - Lecture notes introducing this technique for solving first and second order differential equations. Scanned (GIF) by Joceline Lega.
www.math.arizona.edu/~lega/583/Fall98/lectnotes/GF1.html
- 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.
math.cl.uh.edu/ode/3x/index.htm
- Partial Differential Equations - A set of lectures on numerical solutions and applications to physics.
b.sst.ph.ic.ac.uk/~angus/Lectures/compphys/node23.html
- 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.
xxx.lanl.gov/abs/math.AP/9906155
- Series Solutions to Differential Equations - A set of downloadable lectures.
www.math.hawaii.edu/~lee/calculus/#Series-Sol
- Vibrating Drumhead - A set of Mathematica packages which outline solutions of the wave equation in various coordinates.
www.ma.iup.edu/projects/CalcDEMma/drum/drum.html
- Waves and Oscillations - Teaching resources developed by Frances Goldman, University of Glasgow.
www.maths.gla.ac.uk/~fhg/waves
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