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Discusses complex analysis, focusing on Laplace transforms, Fourier series, and the heat equation's solutions and uniqueness.

Covers ordinary linear homogeneous differential equations of the second order with constant coefficients.

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Explores Fourier series, DFT, FFT, and their applications in signal processing and spectroscopy.

Covers Fourier series, analysis, the heat equation, Gibbs phenomenon, and Fourier transform properties.

Covers mathematical concepts from number theory to probability and statistics.

Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.

Covers Laplace Transform, Fourier Transforms, transfer functions, LTI systems, and Region of Convergence properties.