Lectures related to Inverse Z-Transform: Example Exercise

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Fourier and Laplace Transforms: Concepts and Applications

Provides an overview of Fourier and Laplace transforms, their properties, and applications in signal analysis.

Introduces Partial Fraction Expansion as a valuable tool for analyzing stable LTI systems.

Poisson Problem: Fourier Transform Approach

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.

Fourier Series: Understanding Coefficients and Periodicity

Explores Fourier series coefficients, periodicity, and series relations.

Fourier Transform: Derivatives and Formulas

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

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.

Harmonic Forms: Main Theorem

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Signals, Instruments, and Systems: System Properties and Transforms

Introduces system properties, Laplace Transform, and analog filters for signal analysis.

Semiconductor Devices II: Defects Engineering

Covers the analysis of measurements and defects engineering in semiconductor devices, including density of states and defect probing.

Frequency Response of LTI Systems

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

Convolution and Laplace Transform

Explores control of dynamic systems, impulse response, Laplace transform, and Fourier transform for solving differential equations.

Analyzing a Physics Problem: Exercise 1

Focuses on analyzing a physics problem through Exercise 1, calculating the maximum height of a ball thrown in the air.

Stokes first problem: hydrodynamic separation of variables

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

Analyse IV: Rediffusion RaQ semaine 10

Explores advanced mathematical analysis topics, including Laplace transform methods and integral equations.

Numerical Analysis of Differential Equations

Covers the numerical analysis of differential equations, focusing on methods and stability conditions.

Laplace Transform: Basics and Properties

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

Image Processing I: Ordered Dithering and Fourier Transform

Explores ordered dithering and Fourier transform in image processing.

Signals & Systems II: Vector Analogy and Discrete Signals

Explores the link between DTFT, Z-transforms, and Fourier transforms, vector analogy, and discrete signals.

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