Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.
Explores diffusion from a macroscopic perspective, emphasizing the derivation of the diffusion equation through mass conservation and fixed flux law.
Explores error estimation in numerical methods for solving differential equations, focusing on local truncation error, stability, and Lipschitz continuity.
Explores solving first-order homogeneous differential equations through variable changes and delves into the Bernoulli differential equation.
Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.
