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Lecture
Fourier Series and Laplace Transform
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Fourier Transform: Basics and Examples
Explains the basics of Fourier transform and demonstrates its application through examples, including periodic functions and Fourier Transform Pairs.
Laplace Transform: Properties and Applications
Covers the properties and applications of the Laplace transform in solving differential equations.
Poisson Problem: Fourier Transform Approach
Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.
Fourier Transform: Circuit Analysis
Explores the Fourier transform applied to circuit analysis and its properties.
Fourier Analysis: Applications and Inversion Formula
Explores Fourier analysis applications and the inversion formula in the context of periodicity and continuous functions.
Signals & Systems I: Fourier Transform and Dirac Pulse
Explores Fourier transformation, sign function, Dirac pulse, series development, and periodic signal synthesis.
Laplace Transform and LTI Systems
Covers Laplace Transform, Fourier Transforms, transfer functions, LTI systems, and Region of Convergence properties.
Fourier Analysis: Lecture Recap
Offers a recap of Fourier Analysis, focusing on key concepts and formulas.
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: Properties and Convolution
Covers the properties and convolution of the Fourier transform.