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Lecture
Heat Equation: Fourier Series
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Diffusion Equation
Covers the Fourier law, heat equation, Righi-Leduc effect, and related experiments.
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Covers Fourier series, analysis, the heat equation, Gibbs phenomenon, and Fourier transform properties.
Equations of Heat and Fourier Transform
Covers heat equations, Fourier transforms, and variable separation methods.
Thermal Conduction: Stationary vs. Unsteady
Explores thermal conduction, comparing stationary and unsteady regimes, the Fourier equation, and material thermal conductivity.
Laplacian: Basics and Examples
Covers the basics of the Laplacian operator applied to scalar fields and its importance in mathematical models.
Complex Analysis: Laplace and Fourier Transforms
Discusses complex analysis, focusing on Laplace transforms, Fourier series, and the heat equation's solutions and uniqueness.
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Explores partial differential equations, focusing on chapter 6 equations and their solutions through Fourier series and variable separation methods.
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Covers the study of the heat and wave equations, including the process of separating variables to find solutions.
Heat Equation: Stationary Distribution
Explores the heat equation, equilibrium equations, heat flux, and harmonic functions in heat distribution.
Heat Equation: Modeling and Numerical Methods
Covers the heat equation, its physical interpretation, and numerical methods for solving it.