| Week & Dates | Topics Covered | Practice Problems |
|---|---|---|
| Week 1 Jan 12 – 16 |
Introduction to differential equations; Euler's Method | 1.1: #1-11 2.1: #3-6, 10-15, 21-28 6.1: #1-9, 11 |
| Week 2 Jan 19 – 23 |
Runge-Kutta Method; Numerical Error; Computer tools including Matlab (No class Monday - MLK Day) |
6.2: #1-9 6.3: #1-6, 11-13 |
| Week 3 Jan 26 – 30 |
Separation of variables; Modeling; 1st Order Linear Equations | 2.2: #1-29, 33-35 2.3: #1-10 2.4: #1-21, 29 |
| Week 4 Feb 2 – 6 |
Mixing problems; Electrical circuits; 2nd Order Linear Equations | 2.5: #1-7, 9-10 3.4: #1-19 4.1: #1-20, 26-30 |
| Week 5 Feb 9 – 13 |
Homogeneous Equations; Harmonic motion; Inhomogeneous Equations: undetermined coefficients | 4.3: #1-36 4.4: #1-12, 14-16, 18 4.5: #1-29 |
| Week 6 Feb 16 – 20 |
Inhomogeneous Equations: Variation of Parameters; Forced harmonic motion Review for Midterm 1 | 4.6: #1-10 4.7: #3-11 |
| Week 7 Feb 23 – 27 |
MIDTERM 1 (Feb 23) Laplace Transform |
5.1: #1-29 5.2: #1-41 |
| Week 8 Mar 2 – 6 |
Laplace Transform (cont.) | 5.3: #1-36 5.4: #1-26 5.5: #1-25 |
| Week 9 Mar 9 – 13 |
SPRING BREAK | No Classes |
| Week 10 Mar 16 – 20 |
Delta function; Convolutions; Systems of differential equations | 5.6: #1-9 5.7: #4-24 8.1: #1-16 8.2: #1-6, 13-16 |
| Week 11 Mar 23 – 27 |
Qualitative Analysis; Planar systems | 8.3: #1-6 9.1: #1-8, 16-23 9.2: #1-27, 58-61 |
| Week 12 Mar 30 – Apr 3 |
Phase plane; Trace-Determinant plane; Nonlinear systems | 9.3: #1-23 9.4: #1-12 10.1: #1-16 |
| Week 13 Apr 6 – 10 |
Review for Midterm 2 MIDTERM 2 (Apr 8) Fourier Series |
12.1: #1-22 |
| Week 14 Apr 13 – 17 |
Variation of parameters; Fourier Cosine/Sine series; Heat equation | 12.3: #1-32 12.4: #1-11 13.2: #1-18 |
| Week 15 Apr 20 – 24 |
Separation of variables for the heat equation (cont.); Review for the final | 13.2: #1-18 |
| Finals Week | FINAL EXAM: Wednesday, April 29 | 8:00 AM – 9:50 AM |