Semester:
Spring
Offered:
2018
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 in Calculus and elementary ODEs is essential, such as AMATH 250/251.