微分方程(英文班)
Differential Equation
| 節 | 週一 | 週三 |
|---|---|---|
2 09:00–09:50 | 微分方程(英文班) EE105（光復） | |
3 10:10–11:00 | 微分方程(英文班) EE105（光復） 2 節連堂 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
Differential equations are the language for quantitative sciences and engineering. In this course, we will discuss first order and higher order differential equations and their applications in solving practical problems. Specific techniques involving linear algebra, matrix arithmetic, Fourier series, and Laplace transform will be introduced toward this goal.
Calculus, Linear Algebra
無備註
教師未提供此項資料
Midterm I (25%), Midterm II (25%), Final (50%)
First-order differential equations
Separable equations, linear equations
- 講授：
- 3
Linear equations of higher order
Mathematical modeling, Newtonian mechanics, numerical methods, physical systems
- 講授：
- 3
Power series methods
Power series, transforms of power functions
- 講授：
- 3
Laplace transform methods
Laplace transform, inverse Laplace transform, impulses and Dirac delta function
- 講授：
- 3
Linear System of Differential Equations
Basic theory, homogeneous linear equations, method of variation of parameters
- 講授：
- 3
Fourier series methods
Fourier series, Fourier Cosine and Sine series, heat equation, wave equation
- 講授：
- 3
Partial differential equations and boundary-value problems
Partial differential equations, boundary-value problems
- 講授：
- 3
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction and first-order differential equations 2025-09-01(一),2025-09-03(三) |
| 第 2 週 | Linear equations of higher order 2025-09-08(一),2025-09-10(三) |
| 第 3 週 | Linear equations of higher order 2025-09-15(一),2025-09-17(三) |
| 第 4 週 | Power series methods 2025-09-22(一),2025-09-24(三) |
| 第 5 週 | Laplace transform methods 2025-09-29(一),2025-10-01(三) |
| 第 6 週 | Laplace transform methods 2025-10-06(一),2025-10-08(三) |
| 第 7 週 | Laplace transform methods 2025-10-13(一),2025-10-15(三) |
| 第 8 週 | Midterm I on October 20 (Monday) 2025-10-20(一),2025-10-22(三) |
| 第 9 週 | Linear System of Differential Equations 2025-10-27(一),2025-10-29(三) |
| 第 10 週 | Linear System of Differential Equations 2025-11-03(一),2025-11-05(三) |
| 第 11 週 | Fourier series methods. 2025-11-10(一),2025-11-12(三) |
| 第 12 週 | Midterm II on November 17 (Monday) 2025-11-17(一),2025-11-19(三) |
| 第 13 週 | Fourier series methods 2025-11-24(一),2025-11-26(三) |
| 第 14 週 | Partial differential equations and boundary-value problems 2025-12-01(一),2025-12-03(三) |
| 第 15 週 | Review 2025-12-08(一),2025-12-10(三) |
| 第 16 週 | Final Exam on December 15 (Monday) 2025-12-15(一),2025-12-17(三) |
| 第 17 週 | 2025-12-22(一),2025-12-24(三) |
| 第 18 週 | 2025-12-29(一),2025-12-31(三) |
1. "Elementary Differential Equations with Boundary Value Problems", C. H. Edwards and D. E. Penney, 6th ed., Pearson (PNIE), 2014. 2. D. G. Zill and W. S. Wright, Differential Equations with Boundary-Value Problems, 9th ed. Brooks/Cole, Cengage Learning, 2017.
- 地點
- 教師未提供此項資料
- 時間
- TBD
- 聯絡方式
- j.tai@nycu.edu.tw