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Lecture
Stokes first problem: hydrodynamic separation of variables
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Analyse IV: Rediffusion RaQ semaine 10
Explores advanced mathematical analysis topics, including Laplace transform methods and integral equations.
Laplace Transform and LTI Systems
Covers Laplace Transform, Fourier Transforms, transfer functions, LTI systems, and Region of Convergence properties.
Laplace Transform: Properties and Applications
Covers the properties and applications of the Laplace transform in solving differential equations.
Viscoelastic Materials: Models and Transformations
Explores viscoelastic materials, transforms, and models in materials science.
Transformations and Inversions: Laplace and Fourier
Discusses Laplace and Fourier transformations, focusing on their inversion formulas and applications in solving differential equations.
Fourier Transform: Inversion Formula
Covers the Fourier transform inversion formula with examples and exercises for verification.
Complex Integration: Fourier Transform Techniques
Discusses complex integration techniques for calculating Fourier transforms and introduces the Laplace transform's applications.
Fourier Transform: Concepts and Applications
Covers the Fourier transform, its properties, and applications in signal processing and differential equations, demonstrating its importance in mathematical analysis.
Frequency Response of LTI Systems
Explores LTI systems, impulse response, convolution, system properties, and frequency response, including low-pass and band-pass filters.
Self Similar Solutions and Stokes Second Problem
Explores self-similar solutions, Fourier transform, Laplace transform, and Gaussian error function.
