AMATH 568
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| Lecture Date | Description | Video Lecture | Download |
| Wednesday, January 3 | first order differential equations | Lecture 1 | Lecture 1 |
| Friday, January 5 | homogeneous equations and the Wronskian | Lecture 2 | Lecture 2 |
| Monday, January 8 | nonhomogeneous equations: variation of parameters and undetermined coefficients | Lecture 3 | Lecture 3 |
| Wednesday, January 10 | phase-plane, eigenvalues, eigenvectors, homogeneous equations | Lecture 4 | Lecture 4 |
| Friday, January 12 | nonhomogeneous equations: variation of parameters and undetermined coefficients | Lecture 5 | Lecture 5 |
| Wednesday, January 17 | linear homogeneous boundary value problems, eigenvalues and eigenfunctions | Lecture 6 | Lecture 6 |
| Friday, January 19 | sturm-liouville theory, self-adjointness, orthogonality | Lecture 7 | Lecture 7 |
| Monday, January 22 | nonhomogeneous sturm liouville problems, eigenfunction expansions | Lecture 8 | Lecture 8 |
| Wednesday, January 24 | Dirac delta function and the Green's function | Lecture 9 | Lecture 9 |
| Friday, January 26 | Green's functions and nonhomogeneous equations | Lecture 10 | Lecture 10 |
| Monday, January 29 | regular perturbations and Fredholm-alternative theorem | Lecture 11 | Lecture 11 |
| Wednesday, January 31 | Poincare-Lindstedt method | Lecture 12 | Lecture 12 |
| Friday, February 2 | application of Poincare-Lindstedt | Lecture 13 | Lecture 13 |
| Monday, February 5 | multiple scale method | Lecture 14 | Lecture 14 |
| Wednesday, February 7 | application of multiple scale method | Lecture 15 | Lecture 15 |
| Friday, February 9 | intro to boundary layer theory | Lecture 16 | Lecture 16 |
| Monday, February 12 | matching layers and uniform solutions | Lecture 17 | Lecture 17 |
| Wednesday, February 14 | application of boundary layer theory | Lecture 18 | Lecture 18 |
| Wednesday, February 21 | WKB method | Lecture 19 | Lecture 19 |
| Friday, February 23 | application of WKB method | Lecture 20 | Lecture 20 |
| Monday, February 26 | nonlinear phase-plane analysis and stability | Lecture 21 | Lecture 21 |
| Wednesday, February 28 | applications of nonlinear phase-plane | Lecture 22 | Lecture 22 |
| Monday, March 5 | bifurcations and normal forms | Lecture 23 | Lecture 23 |
| Wednesday, March 7 | stability of periodic solutions: Floquet theory | Lecture 24 | Lecture 24 |
| Friday, March 9 | Floquet theory and the pendulum | Lecture 25 | Lecture 25 |
| <webmaster@amath.washington.edu> | Wed Mar 26 13:30:15 2003 |