工程數學(一)
Engineering Mathematics(I)
| 節 | 週二 |
|---|---|
2 09:00–09:50 | 工程數學(一) EB227（光復） 3 節連堂 |
3 10:10–11:00 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
Teach students mathematical skills for solving engineering problems.
Calculus
無備註
TA: Lin (International student), huynhthimylinh0302@gmail.com Chung-Che Lin(林雋喆), junzhe556620@gmail.com
Three tests 75%(each 25%),Class participation (in class excercises, quizs, homeworks)25%
Introduction
- The role of engineering mathematics and differential equations - Basic concept of differential equations
- 講授：
- 1 W
First-order differential equations
-Separate ODE -Exact ODE -Linear ODE -Existence and Uniqueness
- 講授：
- 3 W
Linear differential equations of second and higher order
-Theory of Linear ODE -Constant-coefficient linear ODE - Mid-term exam 1 -Euler Cauchy linear ODE -Modeling examples
- 講授：
- 4W
備註：Exam 1 on Week 7
System of Differential Equations
- Basic concept and theory - Homogeneous system with constant coefficients - Non-homogeneous system
- 講授：
- 2W
Series solutions
-Power series method -Mid-term exam 2 -Frobenius method
- 講授：
- 3W
備註：Exam 2 on Week 13
Laplace transformation
-Definition of Laplace transform -Properties of Laplace transform -Partial fractions/Differential equations -System of differential equations
- 講授：
- 3W
備註：Exam 3 on Week 18
| 週次 | 主題 |
|---|---|
| 第 1 週 | -Introduction to Engineering Mathematics (I): Course introduction-Review of Calculus-The Role of ODE in Engineering Problem Solving-Basic Concept of Differential Equations 2023-09-12(二) |
| 第 2 週 | -Separable ODEs - Modeling example 2023-09-19(二) |
| 第 3 週 | -Exact ODE 2023-09-26(二) |
| 第 4 週 | -Linear ODE-Another modeling example 2023-10-03(二) |
| 第 5 週 | -Existence and Uniqueness of Solutions (1st OrderODE)-Theory of Linear ODE 2023-10-10(二) |
| 第 6 週 | -Constant-coefficient Linear ODEs of (2nd Order) 2023-10-17(二) |
| 第 7 週 | Mid-term exam 1 2023-10-24(二) |
| 第 8 週 | -Euler Cauchy linear ODE (2nd ordr) 2023-10-31(二) |
| 第 9 週 | -Higher order Linear ODE-Modeling examples 2023-11-07(二) |
| 第 10 週 | - Basic concept and theory- Homogeneous system with constant coefficients 2023-11-14(二) |
| 第 11 週 | - Non-homogeneous system 2023-11-21(二) |
| 第 12 週 | - Power series method 2023-11-28(二) |
| 第 13 週 | Mid-term exam 2 2023-12-05(二) |
| 第 14 週 | Frobenius method 2023-12-12(二) |
| 第 15 週 | -Definition of Laplace transform-Properties of Laplace transform (1) 2023-12-19(二) |
| 第 16 週 | -Properties of Laplace transform (II)-Partial fractions/Differential equations 2023-12-26(二) |
| 第 17 週 | -System of differential equations 2024-01-02(二) |
Erwin Kreyszig, “Advanced Engineering Mathematics”, 10th Edition 請遵守智慧財產權觀念,不得非法影印。
- 地點
- Engineering Building II 222
- 時間
- 2CD, 4B
- 聯絡方式
- Email: cplin.ce@nycu.edu.tw Phone: (03)513-1574 On-Campus Tel : 31574