Lecture Plan
The following is a tentative schedule for the course. Please check back regularly for updates as the term progresses. Group Assignments will be made available through the CANVAS website.
| Lectures | Sections in Text | Description | Additional comments |
|---|---|---|---|
|
Monday
September 14
Live Section 2 |
1.1.
Begin 1.2 |
Basic mathematical models; Solutions of some differential equations.
Khan Academy - Differential equations intro Khan AcademyA - Slope fields & equations Interactive website for plotting slope fields and trajectories |
No group assignment first week.
|
|
Wednesday
September 16
Live Section 1 |
Finish 1.2.
1.3 |
Solutions to some problems; Classification of differential equations.
Khan Academy - Exponential model equations |
|
|
Friday
September 18
Live Section 2 |
2.1, 2.2 |
Linear first order differential equations; separable equations.
Khan Academy - Separable equations |
|
|
Monday
September 21
Live Section 2 |
2.4 |
Existence-uniqueness theorems.
Khan Academy -Write differential equations |
|
|
Wednesday
September 23
Live Section 1 |
2.3 |
Modeling with differential equations
Khan Academy - Slope fields & solutions |
Friday
September 25
Group meetings; recorded lecture available on CANVAS |
2.5 | Autonomous equations and population dynamics | Group assignment 1 due today. |
|
Monday
September 28
Live Section 1 |
2.6 | Exact equations | No meetings or office hours for Section 2. |
|
Wednesday
September 30
Live Section 2 |
3.1, 3.2 |
Second order constant coefficient equations
with distinct roots; the Wronskian |
Friday
October 2
Group meetings; recorded lecture available on CANVAS |
3.3 | Complex conjugate roots | Group assignment 2 due today. |
|
Monday
October 5
Live Section 2 |
3.4 | Repeated roots and reduction of order | |
|
Wednesday
October 7
Live Section 1 |
3.5, 3.6 | Nonhomogeneous equations: Method of undetermined coefficients and variation of parameters | |
| Thursday October 8 | test 1 | material through 3.4. |
Exam available on CANVAS.
Past exams |
|
Friday
October 9
Group meetings; recorded lecture available on CANVAS |
7.1, 7.2 | Review of matrices. |
Group 3 assignment due today. |
|
Monday
October 12
Live Section 2 |
7.3, 7.4 | Systems of ODEs; Existence and uniqueness of solutions of systems of ODEs. | |
|
Wednesday
October 14
Live Section 1 |
7.5 |
Constant coefficients systems with distinct real eigenvalues |
|
|
Friday
October 16
Group meetings; recorded lecture available on CANVAS |
7.6 |
Constant coefficient systems with complex conjugate eigenvalues |
Group assignment 4 due today. |
|
Monday
October 19
Live Section 2 |
7.8 | Repeated Eigenvalues | |
|
Wednesday
October 21
Live Section 1 | 7.9 | Nonhomogeneous Linear Systems | |
|
Friday
October 23
Group meetings; recorded lecture available on CANVAS |
9.1 | The Phase Plane (Good review!) | Group assignment 5 due today. |
|
Monday
October 26
Live Section 2 |
9.2 | Autonomous Systems and Stability
Plotting slope fields and trajectories Direction field plotter |
|
|
Wednesday
October 28
Live Section 1 |
9.3 | Locally Linear Systems | |
|
Friday
October 30
Group meetings; recorded lecture available on CANVAS |
9.4 | Competing Species | Group assignment 6 due today. |
|
Monday
November 2
Live Section 2 |
9.5 | Predator-Prey Equations | |
|
Wednesday
November 4
Live Section 1 |
Review Chapter 9 | ||
| Thursday November 5 | test 2 | Material from 3.5 through 9.5. | Exam will be available on CANVAS. Past exams |
|
Friday
November 6
Group meetings; recorded lecture available on CANVAS |
6.1, 6.2 | Laplace Transform and the IVP
Khan Academy: Laplace transform intro Khan Academy: Properties of the Laplace transform Khan Academy: Laplace transform to solve a differential equation |
Group assignment 7 due today. |
|
Monday
November 9
Live Section 2 |
6.3 | Step functions | |
|
Wednesday
November 11
Live Section 1 |
6.4, 6.5 | Discontinuous forcing functions, Impulse Functions KA: Laplace/step function differential equation | No class discussion (Section 2) |
|
Friday
November 13
Group meetings; recorded lecture available on CANVAS |
6.6 |
The convolution integral
Khan Academy: The convolution integral |
Group assignment 8 due today. |
|
Monday
November 16
Live Section 2 |
Review Chapter 6 | Review Chapter 6 | |
| Tuesday November 17 | No class scheduled | Last day of instruction | |
| Exam period starts November 30 | Exam date TBD | Exam covers material from the whole course. | Past exams |