Syllabus — This is a tentative schedule for the class. I will update it as we go to reflect what we actually cover in class.
| Week | Date | Material | |
|---|---|---|---|
| 1 | 1/20 | W | 1.1 Differential equations and mathematical models |
| 1/22 | F | 1.2 Integrals as solutions 1.3 Slope fields and solution curves | |
| 2 | 1/25 | M | 1.4 Separable equations and applications |
| 1/27 | W | 1.4 | |
| 1/29 | F | 1.5 Linear first-order equations | |
| 3 | 2/1 | M | 1.6 Substitution methods |
| 2/3 | W | 1.6 | |
| 2/5 | F | 1.6 | |
| 4 | 2/8 | M | 3.1 Second-order linear equations |
| 2/10 | W | 3.1 | |
| 2/12 | F | 3.2 General solutions of linear equations | |
| 5 | 2/15 | M | Review |
| 2/17 | W | Exam 1 | |
| 2/19 | F | 3.2 | |
| 6 | 2/22 | M | 3.3 Homogeneous equations with constant coefficients |
| 2/24 | W | 3.3 | |
| 2/26 | F | 3.4 Mechanical vibrations | |
| 7 | 2/29 | M | no class (hw still due!) |
| 3/2 | W | 3.4 | |
| 3/4 | F | 3.5 Nonhomogeneous equations and undetermined coefficients | |
| 8 | 3/7 | M | 3.6 Forced oscillations and resonance |
| 3/9 | W | 3.6 | |
| 3/11 | F | 7.1 Laplace transforms | |
| 9 | 3/21 | M | Review |
| 3/23 | W | Exam 2 | |
| 3/25 | F | 7.1 | |
| 10 | 3/28 | M | 7.2 Initial value problems |
| 3/30 | W | 7.2 | |
| 4/1 | F | 7.3 Translation and partial fractions | |
| 11 | 4/4 | M | 7.3 |
| 4/6 | W | 7.4 Derivatives, integrals, and products of transforms | |
| 4/8 | F | 7.5 Periodic and piecewise continuous input functions | |
| 12 | 4/11 | M | 7.5 |
| 4/13 | W | 7.6 Impulses and delta functions | |
| 4/15 | F | 7.6 | |
| 13 | 4/18 | M | Review |
| 4/20 | W | Exam 3 | |
| 4/22 | F | 4.1 First order systems | |
| 14 | 4/25 | M | 5.1 Matrices and linear systems |
| 4/27 | W | 5.1 | |
| 4/29 | F | 5.2 The eigenvalue method | |
| 15 | 5/2 | M | 5.2 |
| 5/4 | W | Review | |
| 5/6 | F | Review | |
| 16 | 5/10 | T | Section 1 Final Exam 1:30 - 3:30 pm |
| 5/12 | R | Section 9 Final Exam 8:00 - 10:00 am | |