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whatUseek Directory Site Listings:
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.
Z-Transform Home Page
- The Z-Transform is used to take discrete time domain signals into a complex-variable frequency domain. These pages deliver a tutorial package on the web.
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