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) EE208（光復） | |
3 10:10–11:00 | 微分方程(英文班) EE208（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. The first two weeks (Sep 13-26th) of classes will be conducted online. The online lectures will take place on this link: https://faithlab.family/nycu
Calculus, Linear Algebra
無備註
Lectures will be online only from Sep 13th to Sep 26th. Online lectures will take place on this link: https://faithlab.family/nycu Additional information about me can be found here: https://sites.google.com/site/lichiajerrytai
Midterm I (25%), Midterm II (25%), Final (50%)
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
First-order differential equations
Separable equations, linear equations
- 講授：
- 3
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction |
| 第 2 週 | First-order differential equations |
| 第 3 週 | Linear equations of higher order |
| 第 4 週 | Linear equations of higher order |
| 第 5 週 | Midterm I |
| 第 6 週 | Power series methods |
| 第 7 週 | Laplace transform methods |
| 第 8 週 | Laplace transform methods |
| 第 9 週 | Laplace transform methods |
| 第 10 週 | Linear System of Differential Equations |
| 第 11 週 | Linear System of Differential Equations |
| 第 12 週 | Midterm II |
| 第 13 週 | Fourier series methods |
| 第 14 週 | Fourier series methods |
| 第 15 週 | Fourier series methods |
| 第 16 週 | Heat Conduction and Separation of Variables |
| 第 17 週 | Vibrating Strings and the One-Dimensional Wave Equation |
| 第 18 週 | Review |
Fundamentals of Differential Equations and Boundary Value Problems, R. Nagle, E. Saff, and A. Snider, Pearson, 9th edition (2017)
- 地點
- 教師未提供此項資料
- 時間
- TBD
- 聯絡方式
- j.tai@nycu.edu.tw