Lectures to date and tentative schedule
| Date | Section (roughly) |
Topic |
|---|---|---|
| Wed. 2004-09-08 | Course Overview | Overview of topics |
| Fri. 2004-09-10 | Review | Ch. 1-6 |
| Mon. 2004-09-13 | 7.1,7.2 | intro |
| Wed. 2004-09-15 | 7.2,7.3 | Matrices |
| Fri. 2004-09-17 | 7.2,7.3 | Eigenstuff |
| Mon. 2004-09-20 | 7.4 | Theory |
| Wed. 2004-09-22 | 7.5 | Const. Coeff. |
| Fri. 2004-09-24 | 7.6 | Complex Eigs. |
| Mon. 2004-09-27 | 7.8 | Repeated Eigs |
| Wed. 2004-09-29 | 7.7 | Fundamental Matrices |
| Mon. 2004-10-04 | Ch. 7 | Fundamental Matrices |
| Wed. 2004-10-06 | Ch. 7 | Review |
| Fri. 2004-10-08 | - | Exam #1 |
| Wed. 2004-10-13 | 9.1 | Stability |
| Fri. 2004-10-15 | 9.2 | Nonlinear Stability/Autonomous Systems |
| Mon. 2004-10-18 | 9.2 | Nonlinear Stability/Autonomous Systems |
| Wed. 2004-10-20 | 9.3 | Nonlinear Stability/Autonomous Systems |
| Fri. 2004-10-22 | 9.4 | Almost Linear Systems |
| Mon. 2004-10-25 | 9.5/9.6 | Competing Species |
| Wed. 2004-10-27 | 9.5/9.6 | Species Competion/Predator-prey |
| Fri. 2004-10-29 | 9.6 | Species Competion/Predator-prey |
| Mon. 2004-11-1 | 9.5/9.6 | Competing Species |
| Wed. 2004-11-3 | 9.7 | Liapunov |
| Fri. 2004-11-5 | 9.7+ | Limit Cycles |
| Mon. 2004-11-8 | 9.7+ | Van Der Pol |
| Wed. 2004-11-10 | Ch. 9 | Review |
| Fri. 2004-11-12 | - | Exam #2 |
| Mon. 2004-11-15 | 10.1 | BVP intro |
| Wed. 2004-11-17 | 10.2 | Fourier Series |
| Fri. 2004-11-19 | 10.2,10.3 | Fourier Series/Convergence |
| Mon. 2004-11-22 | 10.4 | Odd/Even Functions |
| Mon. 2004-11-29 | 10.5+ | Heat Equation |
| Wed. 2004-12-01 | 10.5 | Heat Equation |
| Fri. 2004-12-03 | 10.6 | Heat Equation |
| Mon. 2004-12-06 | 10.7 | Wave Equation |
| Wed. 2004-12-08 | 10.7 | Wave/Review |
| Fri. 2004-12-10 | 10.9 | Review |
| Wed. 2004-12-15 | Comprehensive | Final Exam |
Syllabus
Systems of First Order Linear Equations
Approx. 3-4 weeks- Linear Algebra
- First order systems of linear ODEs
- Homogeneous linear systems
- Fundamental Matrices
- Eigenvalues and ODEs
- Nonhomogeneous linear systems
Nonlinear Differential Equations and Stability
Approx. 3-4 weeks- Phase Planes
- Autonomous Systems
- Competing Species/Predator-Prey
- Liapunov
- Limit Cycles
- Chaos
PDEs
Approx. 3-4 weeks- BVPs
- Fourier Solutions
- Diffusion Equation
- Wave Equation
- Laplace
BVPs/Sturm-Liouville
Approx. 2-3 weeks- Two-point BVPs
- Sturm-Liouville BVPs
- Nonhomogeneous BVPs
Last Modified: Tue 30 May 2006 05:02:57 PM CDT