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 |
|---|---|---|---|
| Friday June 26 |
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 |
|
| Saturday June 27 8:00-9:05 am |
Finish 1.2.
1.3 |
Solutions to some problems; Classification of differential equations.
Khan Academy - Exponential model equations |
|
| Monday June 29 | 2.1, 2.2 |
Linear first order differential equations; separable equations.
Khan Academy - Separable equations |
|
| Wednesday July 1 | 2.4 |
Existence-uniqueness theorems.
Khan Academy -Write differential equations |
|
| Monday July 6 | 2.3 |
Modeling with differential equations
Khan Academy - Slope fields & solutions |
Wednesday July 8 | 2.5 | Autonomous equations and population dynamics |
| Friday July 10 | 2.6 | Exact equations | |
| Monday July 13 | 3.1, 3.2 |
Second order constant coefficient equations
with distinct roots; the Wronskian |
Wednesday July 15 | 3.3 | Complex conjugate roots |
| Friday July 17 | 3.4 | Repeated roots and reduction of order | |
| Monday July 20 | 3.5, 3.6 | Nonhomogeneous equations: Method of undetermined coefficients and variation of parameters | |
| Tuesday July 21: 6 pm. | test 1 | material through 3.4. |
Old past exams: Others will be posted on CANVAS |
| Wednesday July 22 | 7.1, 7.2 | Review of matrices. | |
| Friday July 24 | 7.3, 7.4 | Systems of ODEs; Existence and uniqueness of solutions of systems of ODEs. | |
| Monday July 27 | 7.5 |
Constant coefficients systems with distinct real eigenvalues |
|
| Wednesday July 29 | 7.6 |
Constant coefficient systems with complex conjugate eigenvalues |
|
| Friday July 31 | 7.8 | Repeated Eigenvalues | |
| Monday August 3 | 7.9 | Nonhomogeneous Linear Systems | |
| Wednesday August 5 | 9.1 | The Phase Plane (Good review!) | |
| Friday August 7 | 9.2 | Autonomous Systems and Stability
Plotting slope fields and trajectories Direction field plotter |
|
| Monday August 10 | 9.3 | Locally Linear Systems | |
| Wednesday August 12 | 9.4 | Competing Species | |
| Friday August 14 | 9.5 | Predator-Prey Equations | |
| Monday August 17 | Review Chapter 9 | ||
| Tuesday August 18 | test 2 | Material from 3.5 through 9.5. | Old past exams: Others will be posted on CANVAS |
| Wednesday August 19 | 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 |
|
| Friday August 21 | 6.3 | Step functions | |
| Monday August 24 | 6.4, 6.5 | Discontinuous forcing functions, Impulse Functions KA: Laplace/step function differential equation | |
| Wednesday August 26 (Last day of instruction) | 6.6 |
The convolution integral
Khan Academy: The convolution integral |
|
| Exam TBD | Time TBD Room TBD | Exam covers material from the whole course. | Old past exams. Others will be posted on CANVAS |