Part II: Differential Equations & Green's Functions

ODEs, PDEs, separation of variables, Fourier methods, Sturm-Liouville theory, and Green's functions as the physicist's Swiss Army knife.

ODEs & Green's Functions

Variation of parameters, eigenfunction expansions

PDEs & Separation of Variables

Laplace, wave, heat equations in various geometries

Fourier Methods

Fourier series, transforms, convolution theorem

Sturm-Liouville Theory

Eigenvalue problems, completeness, orthogonality

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