Notes on the Method of Characteristics
Click here: Example on Finding
General Solution Click here
Notes on Quasiliner PDE, Shocks, Fans, and
Traffic Flow Click here
New notes on shock formation,expansion fans. Worked
problems Click here
Heat Equation, Sturm-Liouville, and
Eigenfunction Expansions
Click here
Steady-State Solutions for the
Heat Equation
Click here
Bessel Functions: Heat and Wave Equation
Click here
Laplace and Poission's Equation: Qualitative
Properties of PDE Click here
Laplacian in a Sphere: Legendre Polynomials
Click here
Wave Equation on Infinite Domains:
D'Alembert's representation
Click here
Integral Transforms and Infinite Domain Problems:
Fourier Transforms
Click here
Laplace Transforms Click
here
Notes on the Eikonal Equation
Click here: Notes on Finding the
Envelope Click here