| Class |
Section |
Title |
Homework |
| 1 (5/21) |
1.1-1.2; 2.1-2.2 |
Introduction to Differential Equations, Solving Autonomous and Separable Equations |
1.1: 22, 23
1.2: 4, 8, 12
2.1: 26
2.2: 8, 11, 27 |
| 2 (5/23) |
2.3-2.4 |
First-Order Linear Differential Equations, Exact Equations |
2.3: 3, 17, 23, 28, 35
2.4: 5, 10, 22, 27, 33 |
| 3 (5/30) |
2.5-2.6; 9.1 |
Bernoulli Equations, Euler’s Methods |
2.5: 18, 22, 25
2.6: 7
9.1: 7 |
| 4 (6/4) |
9.2; 3.1 |
The Fourth-Order Runge Kutta Method and Applications of First-Order Linear Differential Equations |
9.2: 9
3.1: 5, 19, 21, 27 |
| 5 (6/6) |
3.2; 4.1-4.2 |
Applications of First-Order Nonlinear Differential Equations, Introduction to Higher-Order Equations |
3.2: 2, 11
4.1: 15, 18, 27
4.2: 8 |
| 6 (6/11) |
4.3 |
6:00-7:20: EXAM #1 |
4.3: 12, 22, 28, 32, 40 |
|
|
7:40-9:00: Homogeneous Equations with Constant Coefficients |
|
| 7 (6/13) |
4.4; 4.6 |
The Method of Undetermined Coefficients and Variation of Parameters |
4.4: 5, 12, 20, 31
4.6: 3, 12, 21 |
| 8 (6/18) |
5.1-5.2 |
Linear Initial-Value Problems and Linear Boundary-Value Problems |
5.1: 6, 27, 37
5.2: 10, 15 |
| 9 (6/20) |
6.1-6.2 |
A Review of Power Series and Series Solutions About Ordinary Points |
6.1: 5, 12, 19
6.2: 6, 7 |
| 10 (6/25) |
6.3; 7.1 |
Series Solutions About Singular Points and The Laplace Transform |
6.3: 5, 16
7.1: 11, 20, 29, 37 |
| 11 (6/27) |
7.2 |
6:00-7:20: EXAM #2 |
7.2: 5, 19, 23, 37, 39 |
|
|
7:40-9:00: The Inverse Laplace Transform |
|
| 12 (7/2) |
7.3-7.4; App B |
Properties of the Laplace Transform and a Crash-Course in Matrix Algebra |
7.3: 9, 16, 26
7.4: 6, 10, 19, 26, 36
App. B: 31, 50, 54, 56 |
| 13 (7/9) |
8.1-8.2 |
Homogeneous Systems of Linear Differential Equations |
8.1: 2, 5, 7, 8, 18
8.2: 1, 8, 14, 29, 43 |
| 14 (7/11) |
8.3 |
Non-Homogeneous Systems of Linear Differential Equations |
8.3: 3, 7 |
|
|
Review for Final Exam |
|
| 15 (7/16) |
N/A |
FINAL EXAM |
N/A |
