微分方程
Differential Equation
學期
114-1
學分
3
學分
當期課號
515002
永久課號
EEEC10002
開課單位
電機系共同課程
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 EE102 | |
3 10:10–11:00 | 微分方程 EE102 2 節連堂 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
概述
Course outline 1. First-order differential equations. 2. Linear equations of higher order. 3. Power series methods. 4. Laplace transform method. 5. Linear systems of differential equations. 6. Fourier series methods. 7. Heat conduction and separation of variables. 8. Vibrating strings and the one-dimensional wave equation.
先修科目
Calculus (微積分)
評分方式
Home quiz : 10% 期中考 (兩次各佔30%) + 期末考 (一次佔30%) : 90%
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 1 週 | 1. Separable Equations and Applications2. Linear First-Order Equations3. Substitution Methods and Exact Equations |
| 第 2 週 | 1. Linear First-Order Equations2. Substitution Methods and Exact Equations, quiz |
| 第 3 週 | 1. Introduction: Second-Order Linear Equations2. General Solutions of Linear Equations3. Homogeneous Equations with Constant Coefficients |
| 第 4 週 | 1. Homogeneous Equations with Constant Coefficients2. Mechanical Vibrations3. Nonhomogeneous Equations and Undetermined Coefficients4. Forced Oscillations and Resonance |
| 第 5 週 | 1. Forced Oscillations and Resonance2. Electrical Circuits3. Endpoint Problems and Eigenvalues, quiz |
| 第 6 週 | 1. Introduction and Review of Power Series2. Series Solutions Near Ordinary Points |
| 第 7 週 | 1. Regular Singular Points |
| 第 8 週 | 1. Laplace Transforms and Inverse Transforms2. Transformation of Initial Value Problems |
| 第 9 週 | 1. Translation and Partial Fractions4. Derivatives, Integrals, and Products of Transforms |
| 第 10 週 | 1. Periodic and Piecewise Continuous Input Functions2. Impulses and Delta Functions, quiz |
| 第 11 週 | 1. First-Order Systems and Applications2. The Method of Elimination3. Matrices and Linear Systems |
| 第 12 週 | 1. The Eigenvalue Method for Homogeneous Systems2. Second-Order Systems and Mechanical Applications3. Multiple Eigenvalue Solutions |
| 第 13 週 | 1. Second-Order Systems and Mechanical Applications2. Multiple Eigenvalue Solutions |
| 第 14 週 | 1. Matrix Exponentials and Linear Systems2. Nonhomogeneous Linear Systems, quiz |
| 第 15 週 | 1. Periodic Functions and Trigonometric Series2. General Fourier Series and Convergence3. Fourier Sine and Cosine Series |
| 第 16 週 | 1. Applications of Fourier Series2. Heat Conduction and Separation of Variables |
| 第 17 週 | 1. Vibrating Strings and the One-Dimensional Wave Equation2. Steady-State Temperature and Laplace's Equation |
教科書
原文書名: Differential Equations with Boundary-Value Problems 作者: Dennis G.Zill , 9th edition
Office Hours
- 地點
- EE 754
- 時間
- 2EF
- 聯絡方式
- 分機: 54317 E-mail: cmyang3140@nycu.edu.tw