| Week | Date | Contents |
| 1 | 0104 | Course outline. Examples of DE and terminology. |
| 0106 | §2.1 Linear first order equations, method of integrating factor. | |
| 0108 | §2.2 Separable equations | |
| 2 | 0111 | §2.2 Ex 4 §2.3 Modeling |
| 0113 | §2.3 Ex 2,3 §2.4 Uniqueness existence for linear and nonlinear DE |
|
| 0115 | §2.4 Ex 3,4 §2.6 exact equations |
|
| 3 | 0118 | §2.6 Ex 2-5, integrating factor. |
| 0120 | §2.7 Euler's method; §3.1 Homogeneous second order linear equations |
|
| 0122 | §3.1 general different real roots case, Ex 2 §3.2 Solutions of linear homogeneous equations; the Wronskian |
|
| 4 | 0125 | §3.2 Ex 2, 3 §3.3 Complex roots case |
| 0127 | §3.3 Ex 3 (method 2), 4 §3.4 Repeated roots case |
|
| 0129 | §3.4 Examples 1-3 | |
| 5 | 0201 | §3.5 Nonhomogeneous equations |
| 0203 | MT1 | |
| 0205 | §3.5 Examples 3-10 | |
| 6 | 0208 | §3.6 Variation of parameters |
| 0210 | §3.6 Ex 2 §3.7 mechanical vibrations (spring-mass system; no electrical vibrations), undamped case. |
|
| 0212 | damped case, Ex 3 and Ex 4. | |
| 0214-0227 | Midterm break | |
| 7 | 0301 | §3.8 Forced vibrations with damping, the
phenomena of resonance. (undampped forced vibration is NOT covered.) |
| 0303 | §6.1 Laplace transform | |
| 0305 | §6.2 Use Laplace transform to solve DE | |
| 8 | 0308 | §6.3 Step functions and translation formulas |
| 0310 | §6.3 examples 4-5 §6.4 DE with discontinuous forces |
|
| 0312 | §6.5 Dirac delta functions §6.6 convolution |
|
| 9 | 0315 | §6.6 examples §7.1 Introduction to first order systems of DE |
| 0317 | §7.2-7.3 concepts of linear algebra §7.4 systems of DE as vector equations; Solution sets of DE as vector spaces §7.5 Linear system of DE with constant coefficients |
|
| 0319 | §7.5 examples; phase plane analysis, saddles and nodes. | |
| 10 | 0322 | §7.6 Complex eigenvalue case, spirals and centers. |
| 0324 | MT2 | |
| 0326 | §7.7 fundamental matrix | |
| 11 | 0329 | §7.8 Repeated eigenvalue case without enough
eigenvectors (Phase plane analysis in this case will not be in final exam.) |
| 0331 | §7.9 Nonhomogeneous system | |
| 0402 | Good Friday | |
| 12 | 0405 | Easter Monday |
| 0407 | §9.1 Review phase plane of linear systems §9.2 Autonomous systems, critical points, stability and asymptotic stability |
|
| 0409 | §9.2 finding trajectories §9.3 Stability of linear systems and their perturbations |
|
| 13 | 0412 | §9.3 deciding the stability property of a critical point by linear approximation, Jacobian matrix |
| 0414 | Review | |
| 0416 | no class | |
| 0419 | Final Exam: 3:30pm, HENN 200 | |