| 週次 |
授課內容 |
| 第1週 |
Introduction |
| 第2週 |
中秋節 |
| 第3週 |
Method of integrating factors
Separable differential equations |
| 第4週 |
Modeling with first-order differential equations |
| 第5週 |
Differences between linear and nonlinear differential equations |
| 第6週 |
Autonomous differential equations and population dynamics |
| 第7週 |
Exact differential equations and integrating factors |
| 第8週 |
期中考 |
| 第9週 |
The existence and uniqueness theorem |
| 第10週 |
First-order difference equations |
| 第11週 |
Homogeneous second-order differential equations with constant coefficients
Solutions of Linear Homogeneous Equations; the Wronskian |
| 第12週 |
Complex roots of the characteristic equation
Repeated roots and reduction of order |
| 第13週 |
Method of undetermined coefficients
|
| 第14週 |
Variation of parameters
|
| 第15週 |
General theory of nth order linear differential equations
|
| 第16週 |
期末考
自主學習(閱讀微分方程相關論文)
自主學習(以數值模擬方法分析方程解行為) |
自主學習
內容 |
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