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 to be Announced
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 |
| 第 2 週 | -Separable ODEs - Modeling example |
| 第 3 週 | -Exact ODE |
| 第 4 週 | -Linear ODE -Another modeling example |
| 第 5 週 | -Existence and Uniqueness of Solutions (1st OrderODE) -Theory of Linear ODE |
| 第 6 週 | -Constant-coefficient Linear ODEs of (2nd Order) |
| 第 7 週 | Mid-term exam 1 |
| 第 8 週 | -Euler Cauchy linear ODE (2nd ordr) |
| 第 9 週 | -Higher order Linear ODE -Modeling examples |
| 第 10 週 | - Basic concept and theory - Homogeneous system with constant coefficients |
| 第 11 週 | - Non-homogeneous system |
| 第 12 週 | - Power series method |
| 第 13 週 | Mid-term exam 2 |
| 第 14 週 | Frobenius method |
| 第 15 週 | -Definition of Laplace transform -Properties of Laplace transform (1) |
| 第 16 週 | -Properties of Laplace transform (II) -Partial fractions/Differential equations |
| 第 17 週 | -System of differential equations |
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 222
- 時間
- 2CD, 4B
- 聯絡方式
- Email: cplin@mail.nctu.edu.tw Phone: (03)513-1574 On-Campus Tel : 31574