微分方程
Differential Equation
學期
109-1
學分
3
學分
當期課號
1718
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
楊春美
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 EE105 | |
3 10:10–11:00 | 微分方程 EE105 2 節連堂 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
概述
Introduce basic theory and applications of differential equations
先修科目
Calculus (微積分)
教學方式
課程資料, 作業與考試解答將公佈在e3平台
評分方式
作業/小考/出席 20% 期中(兩次)/期末考(一次) 80% (預定第6、11、17週)
課程大綱
- Ch1_Introduction to Differential EquationsDifferential Equations
- Ch2_First-Order Differential Equationss
- CH4 Higher-Order Differential Equations
- Ch5_Modeling with High-Order Differential Equations
- Ch6_Series Solution of Linear
- Ch7_The Laplace Transform
- Ch8_Systems of Linear Differential Equations
- Ch11_Fourrier Series
- Ch12_Boundary-Value Problems in Rectangular Coordinates
週次計畫
| 週次 | 主題 |
|---|---|
| 第 2 週 | 1. Separable Equations and Applications 2. Linear First-Order Equations 3. Substitution Methods and Exact Equations |
| 第 3 週 | 1. Linear First-Order Equations 2. Substitution Methods and Exact Equations, quiz |
| 第 4 週 | 1. Introduction: Second-Order Linear Equations 2. General Solutions of Linear Equations 3. Homogeneous Equations with Constant Coefficients |
| 第 5 週 | 1. Homogeneous Equations with Constant Coefficients 2. Mechanical Vibrations 3. Nonhomogeneous Equations and Undetermined Coefficients 4. Forced Oscillations and Resonance |
| 第 6 週 | 1. Forced Oscillations and Resonance 2. Electrical Circuits 3. Endpoint Problems and Eigenvalues, quiz |
| 第 7 週 | 1. Introduction and Review of Power Series 2. Series Solutions Near Ordinary Points |
| 第 8 週 | 1. Regular Singular Points |
| 第 9 週 | 1. Laplace Transforms and Inverse Transforms 2. Transformation of Initial Value Problems |
| 第 10 週 | 1. Translation and Partial Fractions 4. Derivatives, Integrals, and Products of Transforms |
| 第 11 週 | 1. Periodic and Piecewise Continuous Input Functions 2. Impulses and Delta Functions, quiz |
| 第 12 週 | 1. First-Order Systems and Applications 2. The Method of Elimination 3. Matrices and Linear Systems |
| 第 13 週 | 1. The Eigenvalue Method for Homogeneous Systems 2. Second-Order Systems and Mechanical Applications 3. Multiple Eigenvalue Solutions |
| 第 14 週 | 1. Second-Order Systems and Mechanical Applications 2. Multiple Eigenvalue Solutions |
| 第 15 週 | 1. Matrix Exponentials and Linear Systems 2. Nonhomogeneous Linear Systems, quiz |
| 第 16 週 | 1. Periodic Functions and Trigonometric Series 2. General Fourier Series and Convergence 3. Fourier Sine and Cosine Series |
| 第 17 週 | 1. Applications of Fourier Series 2. Heat Conduction and Separation of Variables |
| 第 18 週 | 1. Vibrating Strings and the One-Dimensional Wave Equation 2. Steady-State Temperature and Laplace's Equation |
教科書
Differential Equations with Boundary-Value Problems Dennis G.Zill Warren S.Wright , 9th edition
Office Hours
- 地點
- EE 754
- 時間
- 2EF
- 聯絡方式
- 分機:54317 e-mail: cmyang@cn.nctu.edu.tw