Partial Fraction Expansion

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Laplace Transform: Basics and Properties

Covers the basics of the Laplace transform, properties, and applications to LTI systems, including transfer function and frequency response.

Complex Integration: Fourier Transform Techniques

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

Signals & Systems Review

Provides a comprehensive review of signals and systems, covering topics such as time-domain analysis, frequency-domain analysis, and Fourier transform.

Stokes first problem: hydrodynamic separation of variables

Explores the application of separation of variables in hydrodynamics and the concept of self-similarity.

Laplace Transform Application: LTI Systems

Covers the application of Laplace transform to LTI Systems, including examples and differential equations.

Viscoelastic Materials: Models and Transformations

Explores viscoelastic materials, transforms, and models in materials science.

Sturm-Liouville Problem and Differential Equations

Covers the Sturm-Liouville problem, differential equations, and Fourier transforms for solving equations with specific conditions.

Transforming Solutions: Laplace Transform

Explores transforming solutions using the Laplace transform to solve differential equations efficiently.

Fourier Transformation: Solving Differential Equations

Explores using Fourier transformation to solve differential equations, focusing on a specific example and deriving the solution formula step by step.

Laplace Transforms: Applications and Convergence Properties

Introduces Laplace transforms, their properties, and applications in solving differential equations.