| 週次 |
授課內容 |
| 第1週 |
First order linear differential equation: Method of integrating factor
|
| 第2週 |
First order nonlinear separable differential equation |
| 第3週 |
Autonomous equations and population dynamics |
| 第4週 |
Exact equations and integrating factors |
| 第5週 |
Numerical approximations: Euler’s method |
| 第6週 |
The existence and uniqueness theorem |
| 第7週 |
Spring break
|
| 第8週 |
Midterm exam |
| 第9週 |
Homogeneous equations with constant coefficients |
| 第10週 |
Solutions of linear homogeneous equations: the Wronskian |
| 第11週 |
Complex roots of characteristic equations |
| 第12週 |
Repeated roots; Reduction of order |
| 第13週 |
Nonhomogeneous equations; Method of undetermined coefficients |
| 第14週 |
Variation of parameters
|
| 第15週 |
Series solutions near an ordinary point, part 1 |
| 第16週 |
Final exam
|
| 第17週 |
Self-taught: Series solutions near an ordinary point, part 2 |
| 第18週 |
Self-taught: Laplace transforms |