Lecture Plan
The following is a tentative schedule for the course. Please check back regularly for updates as the term progresses.
| Lectures | Sections in Text | Description | Practice Problems |
|---|---|---|---|
|
Monday
March 30 |
1.1, 1.2 |
What are differential equations?
|
§1.1: #1, 2, 26
§1.2: # 1(a), 2(a) KA - Differential equations intro KA - Slope fields & equations Plotting slope fields and trajectories |
|
Wednesday
April 1 |
1.3, 2.1 |
Classification and linear first-order ODEs
|
§2.1: #1, 9, 12 |
|
Friday
April 3 |
2.2, 2.4 |
Separable equations and existence-uniqueness theorems.
|
§2.2: #9, 11
§2.4: #3, 7, 11 KA - Separable equations KA - Exponential model equations |
| Monday April 6 | 2.3 |
Modeling with differential equations
|
§2.3: Solve the IVPs in Examples 2 and 3
§2.3: #9, 10 KA-Write differential equations |
|
Wednesday
April 8 |
2.5 | Autonomous equations and population dynamics |
§2.5: #9, 23
Review multivariable chain rule KA - Slope fields & solutions |
Friday
April 10 |
2.6 |
Exact equations
|
§2.6: #23, 26, 30, 31 |
|
Monday
April 13 |
3.1, 3.2 |
Second order constant coefficient equations
with distinct roots; the Wronskian |
§3.1: #2, 4
§3.2: #2, 4, 14 |
|
Wednesday
April 15 |
3.3 |
Complex conjugate roots
|
§3.2: # 25
§3.3: # 2, 16, 24 |
Friday
April 17 |
3.4 | Repeated roots and reduction of order | §3.4: # 2, 16, 24 |
|
Monday
April 20 |
Review | Review for the 1st midterm test | |
|
April 21 (Tue)
|
1st Midterm | 1st Midterm:material through 3.4. | Past exams |
|
Wednesday
April 22 |
3.5, 3.6 | Method of undetermined coefficients; Variation of parameters |
§3.5: #5, 19
§3.6: #9, 13 |
|
Friday
April 24 |
7.1, 7.2 |
Review of matrices.
|
§7.1: #10, 14 |
|
Monday
April 27 |
7.3, 7.4 | Systems of ODEs; Existence and uniqueness of solutions of systems of ODEs. |
§7.3: #17, 18
§7.4: #6 |
|
Wednesday
April 29 |
7.5 |
Constant coefficients systems with distinct real eigenvalues |
§7.5: #3, 12 |
|
Friday
May 1 |
7.6 |
Constant coefficient systems with complex conjugate eigenvalues |
§7.6: #2, 6 |
|
Monday
May 4 |
7.8 | Repeated Eigenvalues | §7.8: #1, 18 |
|
Wednesday
May 6 |
7.7 | Fundamental matrices | §7.7: #3, 7 |
|
Friday
May 8 |
7.9 | Nonhomogeneous Linear Systems | §7.9: # 1, 3, 15 |
|
Monday
May 11 | 9.1 | Phase Plane | §9.1: # 1, 8 |
|
Wednesday May 13 |
Review | Review for the 2nd midterm test | |
|
May 14 (Thu)
|
2nd Midterm | Material from 3.5 through 9.1 | Past exams |
|
Friday
May 15 |
9.2 | Autonomous Systems and Stability | §9.2: # 1, 3, 5 Plotting slope fields and trajectories Direction field plotter |
|
Monday
May 18 |
9.3 & 9.4 | Locally Linear Systems | §9.3: # 1, 3, 5 |
|
Wednesday
May 20 |
9.4 and 9.5 |
Competing Species and Predator-Prey Equations (LAST DAY TO WITHDRAW) |
§9.4: # 1, 8 §9.5: # 1, 3, 11 |
|
Friday
May 22 |
6.1, 6.2 | Laplace Transform and the IVP |
KA: Laplace transform intro
KA: Properties of the Laplace transform KA: Laplace transform to solve a differential equation |
|
Monday May 25 |
Memorial Day | No Class | |
|
Wednesday
May 27 |
6.3 |
IVPs and Step functions |
KA: Laplace/step function differential equation |
|
Friday
May 29 |
6.4, 6.5 | Discontinuous forcing functions, Impulse Functions | KA: The convolution integral |
|
Monday June 1 |
6.6 | The convolution integral | §6.6: # 9, 13 KA: The convolution integral |
|
Wednesday
June 3 |
Course instruction ends. | ||
|
Jun 7 (Sun) |
Final
The exam is cumulative and covers material from the whole term. |
Past exams |