| Date | Topic |
| Mon 1/17 | 1.1 Introduction |
| Wed 1/19 | 1.2 Solutions of ODEs |
| Fri 1/21 | 1.3, 2.1 Classifying ODEs, 1st order linear |
| Mon 1/24 | 2.2, 2.3 Separable ODEs, modeling |
| Wed 1/26 | 2.3 Modeling |
| Fri 1/28 | 2.4, 2.5 Nonlinear ODEs, autonomous ODEs |
| Mon 1/31 | 2.5 Autonomous ODEs, modeling |
| Wed 2/2 | 2.6, 2.7 Exact equations, Euler's method |
| Fri 2/4 | 2.8 Existence and uniqueness |
| Mon 2/7 | 3.1 2nd order linear ODEs |
| Wed 2/9 | 3.2, 3.3 Fundamental solutions, independence |
| Fri 2/11 | 3.4, 3.5 Complex and repeated eigenvalues |
| Mon 2/14 | 3.6 Nonhomogeneous equations |
| Wed 2/16 | 3.7 Variation of parameters |
| Fri 2/18 | First midterm |
| Mon 2/21 | 4.1, 4.2 Higher order linear equations |
| Wed 2/23 | 5.1 Power series |
| Fri 2/25 | 5.2 Series solutions to ODEs |
| Mon 2/28 | 5.3 More series solutions to ODEs |
| Wed 3/2 | 5.4, 5.5 Series solutions at singular points |
| Fri 3/4 | 2.9 Difference equations |
| Mon 3/7 | SPRING BREAK |
| Wed 3/9 |
| Fri 3/11 |
| Mon 3/14 | 6.1 Laplace transform |
| Wed 3/16 | 6.2 Laplace transform and ODEs |
| Fri 3/18 | 6.3, 6.4 Discontinuous forcing functions |
| Mon 3/21 | 6.5, 6.6 Impulse functions and convolution |
| Wed 3/23 | 7.1 Systems of ODEs |
| Fri 3/25 | 7.2 Matrices |
| Mon 3/28 | 7.3 Systems of algebraic equations |
| Wed 3/30 | 7.4, 5 Solving linear systems of ODEs |
| Fri 4/1 | 7.6, 7.7 Complex eigenvalues and fundamental matrices |
| Mon 4/4 | 7.7, 7.8 Fundamental matrices, repeated eigenvalues |
| Wed 4/6 | Second midterm |
| Fri 4/8 | 8.2 Better numerical integration |
| Mon 4/11 | 8.3 Runge-Kutta |
| Wed 4/13 | 8.5 Error estimates and stability |
| Fri 4/15 | 9.1 Phase plane |
| Mon 4/18 | 9.2 Nonlinear autonomous systems |
| Wed 4/20 | 9.4, 9.5 Population dynamics |
| Fri 4/22 | 9.8 Chaos and strange attractors |
| Mon 4/25 | PDEs |
| Wed 4/27 | PDEs |
| Fri 4/29 | Catch up, review |
| Fri 5/6 | Final exam - 9:00-12:00 in Sci. 183. |
| | |