Convolution Product: Radioactive Exchange

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Fourier Transform: Inversion Formula

Covers the Fourier transform inversion formula with examples and exercises for verification.

Fourier Series and Equations

Covers Fourier series, periodic functions, and Fourier transforms.

Probability and Statistics

Covers mathematical concepts from number theory to probability and statistics.

Fourier Transform: Derivatives and Formulas

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

Laplace Transform Application: LTI Systems

Covers the application of Laplace transform to LTI Systems, including examples and differential equations.

Homogeneous Differential Equations

Explores solving first-order homogeneous differential equations through variable changes and delves into the Bernoulli differential equation.

Material Point Model: Basics

Covers the material point model, initial conditions, and Newton's laws in physics.

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.

Numerical Analysis: Stability in ODEs

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

Separable Differential Equations

Covers separable differential equations of order 1, defining separable equations and providing examples.