V8-10: Eigenvalue problem, first example, eigenfunctions. Elementary differential Equations.

V9-12: PDE classification, method of characteristic, examples. Elementary Differential Equations

V9-11: D'Alembert's solution for wave equation, example, remarks, characteristics. Elem. Diff. Eqns.

V9-10: D'Alembert's solution for wave equation, derivation. Elementary Differential equations

V9_9_bonus: Another derivation for the solution of the Laplace equation in a rectangle. Elem. PDEs

V9-9: Laplace Equation in rectangle, Dirichlet boundary conditions, derivation of formal solution.

V9-8: Wave equation solutions: modes, discussions on waves, example. Elem Differential Equations

V9-7: Wave equation in 1D, derivation of formal solutions, Elementary Differential Equations.

V9-6: Separation of variable, discussion and examples. Elementary Differential Equations .

V9-5: Heat equation with non-homogenous boundary conditions, Elementary Differential equations.

V9-4: Heat equation w/ Neumann boundary condition. Steady States. Elementary Differential Equations

V9-3: Heat equation, solution properties, faster damping of high frequencies. Elementary Diff Eqns

V9-2: 1D Heat equation, derivation of formal solution with Fourier series. Elementary Diff Equations

V9-1: Basic concepts of PDEs (Partial Differential Equations). Elementary Differential Equation

Golden fluffy kitty doing Cha Cha slide dance

It's Always Playtime for the Kittens.

V8-12: Eigenvalue problems: 3rd example + a fun one with a joke. Elementary Differential equations

V8-11: Eigenvalue problems example with Neumann Boundary Conditions; Elementary Differential eqns

Kittens Grooming and Falling Asleep

V8-10: Eigenvalue problem, first example, eigenfunctions. Elementary differential Equations.

V8-9: Two-point boundary value problem, introduction and examples. Elementary Differential Equations

Kitten admiring himself in the mirror

Yuan Yuan The Cat The Spinner

V8-8: Properties of Fourier series, linearity and convergence. Elementary Differential Equations

V8-7: Half Range Extensions, Fourier sin/cosine series, Elementary Differential equations