工程數學(1)
Engineering Mathematics(1)
學期
111-1
學分
3
學分
當期課號
910313
永久課號
SESE10026
開課單位
系統工程與科技學士學位學程
授課教師
陸開泰
類別
必修
上課時間表
| 節 | 週二 | 週三 |
|---|---|---|
1 08:00–08:50 | 工程數學(1) | |
5 13:20–14:10 | 工程數學(1) 2 節連堂 | |
6 14:20–15:10 |
* 根據陽明交大上課時間表所列
概述
1.使學生瞭解工程數學的基本概念,並能加以應用。 Enable students to understand the basic concepts of engineering mathematics and apply them. 2.訓練學生對於課程中的數學問題具備解題技巧及演算能力。 Train students to have the problem-solving ability and calculation ability of the math problems in the course.
先修科目
微積分 Calculus
評分方式
Regular grade(30%) Midterm grade(30%) Final grade(40%)
課程大綱
- Linear differential equations
- Introduction to linear algebra
- Gamma function and beta function
- Laplace transform
- Ordinary differential equations of first order
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Ordinary differential equations of fist order |
| 第 2 週 | Exact differential equations |
| 第 3 週 | Integrating factors method, separate variables method |
| 第 4 週 | Linear differential equations |
| 第 5 週 | Homogeneous equations with constant coefficients |
| 第 6 週 | Nonhomogeneous equations with constant coefficients |
| 第 7 週 | Inverse operation method |
| 第 8 週 | Variation of parameters |
| 第 9 週 | Midterm exam |
| 第 10 週 | Introduction to linear algebra |
| 第 11 週 | Vector, matrix and determinant |
| 第 12 週 | Linear differential systems with constant coefficients |
| 第 13 週 | Characteristic value problems |
| 第 14 週 | Gamma function and beta function |
| 第 15 週 | Laplace transform |
| 第 16 週 | Inverse Laplace transform |
| 第 17 週 | Application of Laplace transform |
| 第 18 週 | Final exam |
教科書
Advanced Engineering Mathematics, 2000, Erwin Kreyszic, John Wiley & Sons