| 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 |
Interval of existence of solution of differential equation |
| 第4週 |
Autonomous equation: Logistic differential equation model of population growth |
| 第5週 |
Qualitative and quantitative analysis of population growth |
| 第6週 |
Exact differential equation and integrating factor |
| 第7週 |
Numerical approximation of solution of IVP for the first order differential equation: Euler’s method |
| 第8週 |
Spring break |
| 第9週 |
Midterm exam |
| 第10週 |
Existence and uniqueness of solution of IVP for the first order differential equation |
| 第11週 |
Second order linear differential equation: Characteristic equation of homogeneous equation with constant coefficients
|
| 第12週 |
Wronskian and fundamental set of solutions |
| 第13週 |
Complex roots of characteristic equation |
| 第14週 |
Repeated root of characteristic equation
|
| 第15週 |
Particular solution of nonhomogenmeous equation: Undetermined coefficient method |
| 第16週 |
Particular solution of nonhomogenmeous equation: Variation of parameter method |
| 第17週 |
Vibration of spring |
| 第18週 |
Final exam |