Harmonic Analysis: Schwerte Functions

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Introduces Laplace transform, ROC, and LTI systems with transfer functions and frequency response.

Fourier Transform: Derivatives and Laplace Transform

Explores the Fourier transform properties with derivatives and introduces the Laplace transform for signal transformation and solving differential equations.

Frequency Response of LTI Systems

Explores LTI systems, impulse response, convolution, system properties, and frequency response, including low-pass and band-pass filters.

Laplace Transform and LTI Systems

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

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Discusses complex integration techniques for calculating Fourier transforms and introduces the Laplace transform's applications.

Introduction to the Laplace Transform

Covers the Laplace Transform, LTI systems, Fourier Transforms, and properties.

Laplace Transform: Properties and Applications

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Convolution and Laplace Transform

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Explores self-similar solutions, Fourier transform, Laplace transform, and Gaussian error function.

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