Partial Differential Equations:

• Modelling: applications of PDEs
• 1st-Order PDEs: linear and Quasi-linear including Shocks
• Classification of 2nd-Order PDEs: Hyperbolic, Parabolic and Elliptic
• PDEs in Bounded Domains: Sturm-Liouville and Separation of Variables
• PDEs in Infinite Domains: Fourier Transform Methods
• Green's Functions of PDEs
• Nonlinear PDEs: solitons and Reaction-Diffusion Equations

Prerequisites: AMATH 231 (Calculus 4),  A sound background...