Partial differential equation

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Covers the theoretical study of Elliptic Partial Differential Equations, including electrostatics and advection-diffusion-reaction equations.

Explores characteristic curves and solutions in partial differential equations, emphasizing uniqueness and existence in various scenarios.

Explores the classification of PDEs into linear, semi-linear, and quasi-linear types, emphasizing the properties of their solutions.

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

Covers numerical methods for solving boundary value problems, including applications with the Fast Fourier transform (FFT) and de-noising data.

Explores the parabolic heat equation evolution and numerical solution methods.

Covers linear differential equations of order 1 and their solutions.

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