| Week |
|
| 1 |
| 1.1: |
Differential Equations Introduction |
| 1.2: |
Separable Equations |
| 1.3: |
Homogenous Equations |
| 1.4: |
Exact Equations and Integrating Factor |
|
| 2 |
| 1.5: |
First-Order Linear and Bernoulli Equations |
| 5.1: |
Introduction of Linear Differential Equations |
| 5.2: |
Polynomial Operator |
| 5.3: |
Complex Solutions |
| 5.4: |
Equations with Constants Coefficients |
|
| 3 |
| 5.5: |
Cauchy-Euler Equations |
| 5.7: |
The Method of Undetermined Coefficients |
| 5.8: |
Variations of Parameters |
|
| Midterm |
Sections: 1.1-1.5, 5.1-5.5, 5.7, 5.8 |
| 4 |
| 6.2: |
First-Order Systems |
| 6.4: |
Matrix Formulation with Constant Coefficients |
| 6.5: |
Fundamental Sets of Solutions |
| 6.6: |
Solutions by Characteristic Values |
|
| 5 |
| 6.7: |
Repeated Characteristic Values |
| 6.11: |
Nonhomogeneous Linear Systems |
|
| 6 |
| 8.1: |
Numerical Approximation: Euler's Method |
|
| Final |
Comprehensive final exam: covers all the sections |
