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Lecture
Laplace Transform: Properties and Applications
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Laplace Transforms: Applications and Convergence Properties
Introduces Laplace transforms, their properties, and applications in solving differential equations.
Probability and Statistics
Covers mathematical concepts from number theory to probability and statistics.
Fourier Transform and Differential Equations
Discusses the Fourier transform and its application to solving differential equations, focusing on the wave equation and its transformations.
Transformations and Inversions: Laplace and Fourier
Discusses Laplace and Fourier transformations, focusing on their inversion formulas and applications in solving differential equations.
Complex Integration: Fourier Transform Techniques
Discusses complex integration techniques for calculating Fourier transforms and introduces the Laplace transform's applications.
Fourier and Laplace Transforms: Concepts and Applications
Provides an overview of Fourier and Laplace transforms, their properties, and applications in signal analysis.
Fourier Series and Equations
Covers Fourier series, periodic functions, and Fourier transforms.
Laplace Transform: Solving Differential Equations
Discusses the application of the Laplace transform to solve differential equations and explores its properties and examples.
Applications of Residue Theorem in Complex Analysis
Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.
Fourier Transform: Concepts and Applications
Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.
