微分方程
Differential Equation
| 節 | 週一 | 週三 |
|---|---|---|
2 09:00–09:50 | 微分方程 EE102（光復） | |
3 10:10–11:00 | 微分方程 EE102（光復） 2 節連堂 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
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.
Calculus (微積分)
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Home quiz : 10% 期中考 (兩次各佔30%) + 期末考 (一次佔30%) : 90%
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 | 主題 |
|---|---|
| 第 1 週 | 1. Separable Equations and Applications2. Linear First-Order Equations3. Substitution Methods and Exact Equations 2025-09-01(一),2025-09-03(三) |
| 第 2 週 | 1. Linear First-Order Equations2. Substitution Methods and Exact Equations, quiz 2025-09-08(一),2025-09-10(三) |
| 第 3 週 | 1. Introduction: Second-Order Linear Equations2. General Solutions of Linear Equations3. Homogeneous Equations with Constant Coefficients 2025-09-15(一),2025-09-17(三) |
| 第 4 週 | 1. Homogeneous Equations with Constant Coefficients2. Mechanical Vibrations3. Nonhomogeneous Equations and Undetermined Coefficients4. Forced Oscillations and Resonance 2025-09-22(一),2025-09-24(三) |
| 第 5 週 | 1. Forced Oscillations and Resonance2. Electrical Circuits3. Endpoint Problems and Eigenvalues, quiz 2025-09-29(一),2025-10-01(三) |
| 第 6 週 | 1. Introduction and Review of Power Series2. Series Solutions Near Ordinary Points 2025-10-06(一),2025-10-08(三) |
| 第 7 週 | 1. Regular Singular Points 2025-10-13(一),2025-10-15(三) |
| 第 8 週 | 1. Laplace Transforms and Inverse Transforms2. Transformation of Initial Value Problems 2025-10-20(一),2025-10-22(三) |
| 第 9 週 | 1. Translation and Partial Fractions4. Derivatives, Integrals, and Products of Transforms 2025-10-27(一),2025-10-29(三) |
| 第 10 週 | 1. Periodic and Piecewise Continuous Input Functions2. Impulses and Delta Functions, quiz 2025-11-03(一),2025-11-05(三) |
| 第 11 週 | 1. First-Order Systems and Applications2. The Method of Elimination3. Matrices and Linear Systems 2025-11-10(一),2025-11-12(三) |
| 第 12 週 | 1. The Eigenvalue Method for Homogeneous Systems2. Second-Order Systems and Mechanical Applications3. Multiple Eigenvalue Solutions 2025-11-17(一),2025-11-19(三) |
| 第 13 週 | 1. Second-Order Systems and Mechanical Applications2. Multiple Eigenvalue Solutions 2025-11-24(一),2025-11-26(三) |
| 第 14 週 | 1. Matrix Exponentials and Linear Systems2. Nonhomogeneous Linear Systems, quiz 2025-12-01(一),2025-12-03(三) |
| 第 15 週 | 1. Periodic Functions and Trigonometric Series2. General Fourier Series and Convergence3. Fourier Sine and Cosine Series 2025-12-08(一),2025-12-10(三) |
| 第 16 週 | 1. Applications of Fourier Series2. Heat Conduction and Separation of Variables 2025-12-15(一),2025-12-17(三) |
| 第 17 週 | 1. Vibrating Strings and the One-Dimensional Wave Equation2. Steady-State Temperature and Laplace's Equation 2025-12-22(一),2025-12-24(三) |
原文書名: Differential Equations with Boundary-Value Problems 作者: Dennis G.Zill , 9th edition
- 地點
- EE 754
- 時間
- 2EF
- 聯絡方式
- 分機: 54317 E-mail: cmyang3140@nycu.edu.tw