Modeling Heat Equation

Related lectures (28)

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Explores the maximum principle in the context of the heat equation and the concept of the cylinder.

Introduces partial differential equations, covering derivatives, special cases, transformations, and the Jacobian matrix.

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

Explores convolution properties, heat equation application, and Fourier transform on tempered distributions.

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.

Explores functions of class C^p, emphasizing continuity and differentiability properties.

Covers differential calculus applications and reminders, emphasizing the importance of differentiability in mathematical analysis.

Explores differentiability in functions and the role of gradients in directional derivatives.

Covers the application of separation of variables method to solve the heat equation.

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.