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direction fields phase planes 2nd order linear Fourier series PDEs
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To Do

The following is an unstructured as well as incomplete list of things to do.
  • Plot Fourier amplitudes C_n on a log-log scale (i.e., plot log(C_n) against log(n)).
  • Implement some sort of help feature for the GUI modules.
  • In the homework projects, clearly mark Unix hints and Illinois-specific technicalities to separate them from the mathematical content.
  • Create a link to a page for students who want to learn more about using computer packages for differential equations. This page should give basic information about the capabilities of, and links to, Mathematica, Maple, and Matlab (both symbolic and numerical capabilities).
  • Create project(s) on 2x2 autonomous systems of ODEs.
  • Add features to the Phase Planes module, e.g., computing equilibrium points, plotting Liapunov functions, etc.
  • Assess whether to add the heat and wave equations on the whole real line to the PDE modules of Iode.
  • Assess whether to recast the manuals in MathML.
  • Add a feature to pdegui.m that allows users to plot arbitrary functions on top of slices/snapshots.
  • Find an easy way to treat sine and cosine series, in the Fourier series module.
  • Find a way to treat nonhomogeneous heat and wave equations, on an interval.


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