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Top / Science / Math / Differential Equations / Lecture Notes and Learning Material

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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.
Partial Differential Equations
A set of lectures on numerical solutions and applications to physics.
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.
Series Solutions to Differential Equations
A set of downloadable lectures.
Vibrating Drumhead
A set of Mathematica packages which outline solutions of the wave equation in various coordinates.
Waves and Oscillations
Teaching resources developed by Frances Goldman, University of Glasgow.

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