Math 33, Spring 2006,
Mathematics in the Sciences and Engineering
Covered topics
- 1. Distributions and ODE's
- Distributions, convolutions and fundamental solutions
- Laplace transform
- Fourier transform
- 2. PDE and mathematical models
- 3. PDE on unbounded domains
- The Heat equation
- The Wave Equation
- Well-posed problems
- An ill-posed problem: The Laplace Equation
- Semi-infinite domains
- Inhomogeneous equations and Duhamel's principle
- 4. PDE on bounded domains
- Fourier and orthogonal expansions
- Sturm-Liouville problems
- Seperation of variables
- The Heat equation
- The Laplace equation
- Parameter identification
- Finite difference methods
As time permits
- 5. PDE in the life sciences