Analyse IV: Rediffusion RaQ semaine 10

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Sturm-Liouville Problem and Differential Equations

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

LTI Systems Properties

Covers the properties of Linear Time-Invariant (LTI) systems and their implications.

Laplace Transforms: Applications and Convergence Properties

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

Vibrating Strings: Mathematical Analysis and Fourier Series

Provides an overview of the mathematical analysis of vibrating strings using Fourier series and Laplace transforms.

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.

Viscoelastic Materials: Models and Transformations

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

Complex Analysis: Residue Theorem and Fourier Transforms

Discusses complex analysis, focusing on the residue theorem and Fourier transforms, with practical exercises and applications in solving differential equations.

Stable LTI Systems: Frequency Response Analysis

Explores stable LTI systems through frequency response analysis, convolution properties, and differential equations solutions.

Fourier Transform: Properties and Applications

Explores the properties and applications of the Fourier transform for solving differential equations.

Numerical Methods: Boundary Value Problems

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