This class schedule is approximate. That is, it is the plan for future classes, and a brief summary of past classes. You should attend class and do the homework for a better understanding of what is covered.
| Week | Monday | Tuesday | Wednesday | Thursday |
|---|---|---|---|---|
| 1 |
June 4 § 1.1: Modeling via ODEs § 1.2: Separation of Variables Syllabus [pdf] |
June 5 § 1.2: Separation of Variables § 1.3: Slope Fields |
June 6 § 1.4: Euler's Method § 1.5: Existence & Uniqueness |
June 7 § 1.6: Equilibria & Phase Lines |
| 2 |
June 11 § 1.7: Bifurcations |
June 12 § 1.8: Linear Equations § 1.9: Integrating Factors Today's overheads |
June 13 § 1.9: Integrating Factors § 2.1: Modeling via Systems |
June 14 § 2.2: Geometry of Systems § 2.3: Analytic Methods |
| 3 |
June 18 § 2.4: Euler's Method for Systems |
June 19 § App. A: Changing Variables Today's handout (with answers) |
June 20 § 2.5: The Lorenz Equations § 3.1: Linear Systems |
June 21 § 3.1: More Linearity Principles Today's handout (with answers) |
| 4 |
June 25 Review |
June 26 Exam One |
June 27 § 3.2: Straight-line solutions Today's handout (with answers) |
June 28 § 3.3: Phase Planes § 3.4: Complex Eigenvalues (today's handout with solutions) |
| 5 |
July 2 § 3.4: Complex Eigenvalues § 3.5: Repeated Eigenvalues |
July 3 § 3.5: Repeated Eigenvalues (today's handout with solutions) § 3.6: Second-Order Linear Equations |
July 4 Independence Day No class |
July 5 § 3.7: Trace-Determinant Plane (today's handout) |
| 6 |
July 9 § 3.7: Trace-Determinant Plane § 3.8: Linear Systems in 3 Dims § 4.1: Forced Harmonic Oscillators (today's handout, now with answers) |
July 10 § 4.1: Forced Harmonic Oscillators § 4.2: Sinusoidal Forcing (today's handout, now with solutions) |
July 11 § 4.2: Sinusoidal Forcing § 4.3: The Undamped Case |
July 12 § 4.3: The Undamped Case § 6.1: Laplace Transforms (today's handout) |
| 7 |
July 16 Review |
July 17 Exam Two |
July 18 § 6.1: Laplace Transforms § 6.2: Discontinuous Functions (today's handout, now with answers) |
July 19 § 6.3: Second-Order Equations (today's handout) |
| 8 |
July 23 § 6.4: Delta Functions § 6.5: Convolutions |
July 24 § 5.3: Hamiltonian Systems (today's worksheet) (now with answers) |
July 25 §§ 5.1–2: Nonlinear Systems |
July 26 § 5.3: Hamiltonian Systems Review |
| 9 |
July 30 Exam Three Last Day Of Classes |