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Lecture
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Date | Sections covered |
|---|---|---|
|
1
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05/27 | 0.1, 0.2, 1.1, 1.3 Introduction, Classifying, Verifying Solutions, Separable ODEs. |
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2
|
05/29 | 1.4 First Order LinearODEs and Integrating Factors. |
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3
|
06/03 |
1.2, 1.5-1.8 Slope Fields, EUT, Euler’s Method:.
Autonomous Equations, Bifurcations Quiz 1 (8pm - 8:30pm). MATLAB Assignment 1 (Lab 2) |
|
4
|
06/05 | 1.10 Modeling with First Order ODEs. Review for Exam 1 |
| 5 | 06/10 |
Exam 1 (6pm-7:20pm) 2.1 Second Order Linear ODEs (Introduction). MATLAB Assignment 2 (Lab 3) |
| 6 | 06/12 | 2.1, 2.2 Second Order Linear ODEs (Real Roots, Complex Roots) |
|
7
|
06/17 |
2.3 Second Order Linear ODEs (Repeated Roots), Reduction of
Order MATLAB Assignment 3 (Lab 5) |
|
8
|
06/19 | 2.4 Mechanical and Electrical Vibrations |
|
9
|
06/24 |
2.5 Non-Homogeneous Second Order ODEs Quiz 2 (8pm - 8:30pm). |
|
10
|
06/26 | 2.6 Forced Vibrations |
| 11 | 07/01 | 2.7 Higher Order ODEs. |
| 12 | 07/03 | 3.1, 3.2 Vectors and Matrices |
|
13
|
07/08 | 3.3
Systems of Linear Equations, Gaussian Elimination, REF, RREF Quiz 3 (8pm - 8:30pm). |
| 14 | 07/10 | 3.4 Determinants, Cramer's Rule |
|
15
|
07/15 |
3.5 Eigenvalues and
Eigenvectors MATLAB Assignment 4 (Lab 6) |
| 16 | 07/17 | 4.1, 4.3 Systems of Linear ODEs (General Theory) |
|
17
|
07/22 |
4.4, 4.5 Systems of Linear ODEs: Real, Complex Eigenvalues Quiz 4 (8pm - 8:30pm). |
|
18
|
07/24 | 4.6
Systems of Linear ODEs: Repeated Eigenvalues. Review for Exam 2 MATLAB Assignment 5 (Lab 7) |
| 19 | 07/29 |
Exam 2 (6pm-7:20pm) 4.7 Phase Portraits of X'=AX (A is a 2x2 real numerical invertible matrix) |
|
20
|
07/31 | 5.1 Non-Linear Systems and Critical Points |
| 21 | 08/05 | 5.3 Competing Species, Predator-Prey models |
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22
|
08/07 | Catch-up and Review for the Final Exam |
| 23 | 08/13 | Final Exam (6pm - 9pm) |