微分方程
Differential Equation
學期
108-1
學分
3
學分
當期課號
1778
永久課號
UEE2101
開課單位
電機學院與資訊學院共同課程
授課教師
李冕
校區
光復
類別
必修
上課時間表
| 節 | 週一 | 週三 |
|---|---|---|
2 09:00–09:50 | 微分方程 ED203 | |
3 10:10–11:00 | 微分方程 ED203 2 節連堂 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
概述
This course is to introduce the basic theory and applications of differential equations.
先修科目
Calculus, Linear Algebra.
評分方式
Evaluation and Grading Policy: Exams and Quizzes: 60%,Project:40% (tentative)
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction to differential equations, Direction Fields |
| 第 2 週 | Separation of variables, First order linear equations |
| 第 3 週 | Euler’s method, Differences between linear and nonlinear equations |
| 第 4 週 | Autonomous equations and population dynamics |
| 第 5 週 | Modeling with first order equations |
| 第 6 週 | Second order equations, Solutions of second order equations |
| 第 7 週 | Reduction of order |
| 第 8 週 | Non-homogenous equations, Variation of parameters |
| 第 9 週 | Mechanical & electrical vibrations |
| 第 10 週 | First order systems of linear equations |
| 第 11 週 | Review of matrices, Fundamentals for systems of ODEs |
| 第 12 週 | Homogenous linear systems with constant coefficients |
| 第 13 週 | Complex eigenvalues and phase portraits |
| 第 14 週 | Repeated eigenvalues, Non-homogeneous linear systems |
| 第 15 週 | Review of power series, Series solutions of ODEs |
| 第 16 週 | Series solutions near an ordinary point |
| 第 17 週 | Euler equations |
| 第 18 週 | Laplace Transform |
教科書
Elementary Differential Equations and Boundary Value Problems - Richard C. DiPrima and William E. Boyce
Office Hours
- 地點
- Lab-716 A
- 聯絡方式
- rini.stefano@gmail.com