sequences-and-series
Fourier series and separation of variables
taught
Taught in
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Separation of variables, the core trick
Fourier Analysis
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The 1D heat equation: setup and boundary conditions
Fourier Analysis
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Solving the heat equation with a Fourier sine series
Fourier Analysis
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Long-term behavior and mode decay
Fourier Analysis
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The 1D wave equation and vibrating strings
Fourier Analysis
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Normal modes and standing waves
Fourier Analysis
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Laplace's equation on a rectangle
Fourier Analysis
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What a dedicated PDE course adds to this
Fourier Analysis
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What a dedicated PDE course adds: the operator picture, completed
Fourier Analysis
Requires
- fourier-sine-and-cosine-series required
- dirichlet-convergence-conditions required
Required by
Nothing in the catalog needs this yet.
Local knowledge map
Local knowledge map
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Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.