微分方程
Differential Equation
學期
112-1
學分
3
學分
當期課號
515020
永久課號
EEEC10002
開課單位
電機共同課程
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 EE208 | |
3 10:10–11:00 | 微分方程 EE208 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)
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