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Education
Directory > Science > Math > Differential Equations > Education

Web Sitesi

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.

http://arxiv.org/abs/math.AP/9906155
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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.

http://math.cl.uh.edu/math/ode/ode.html
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Differential Equations with Boundary Value Problems
By S. Hollis (Prentice Hall, 2002). Overview of contents, errata, software and link to purchasing
page.

http://www.math.armstrong.edu/faculty/hollis/dewbvp
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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.

http://www.math.arizona.edu/~lega/583/Fall98/lectnotes/GF1.html
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Waves and Oscillations
Teaching resources developed by Frances Goldman, University of Glasgow.
http://www.maths.gla.ac.uk/~fhg/waves/
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Partial Differential Equations
A set of lectures on numerical solutions and applications to physics.
http://b.sst.ph.ic.ac.uk/~angus/Lectures/compphys/node23.html
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Series Solutions to Differential Equations
A set of downloadable lectures.
http://www.math.hawaii.edu/~lee/calculus/#Series-Sol
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Vibrating Drumhead
A set of Mathematica packages which outline solutions of the wave equation in various coordinates.
http://www.ma.iup.edu/projects/CalcDEMma/drum/drum.html
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