工程數學(1)
Engineering Mathematics(1)
| 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
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.
微積分 Calculus
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Regular grade(30%) Midterm grade(30%) Final grade(40%)
Linear differential equations
1. Families of solutions 2.Homogeneous equations with constant coefficients 3.Nonhomogeneous equations with constant coefficients 4.Inverse operation method 5.Variation of parameters
- 講授：
- 15
Introduction to linear algebra
1. Vector, matrix and determinant 2.Linear differential systems with constant coefficients 3.Characteristic value problems
- 講授：
- 12
Gamma function and beta function
1.Gamma function 2. Beta function
- 講授：
- 3
Laplace transform
1. Laplace transform 2.Inverse Laplace transform 3.Application of Laplace transform
- 講授：
- 9
Ordinary differential equations of first order
1.Functions and Equations 2.Exact differential equations 3.Integrating factors method 4.Separate variables method
- 講授：
- 9
| 週次 | 主題 |
|---|---|
| 第 1 週 | Ordinary differential equations of fist order 9/30 9/31 |
| 第 2 週 | Exact differential equations 9/6 9/7 |
| 第 3 週 | Integrating factors method, separate variables method 9/13 9/14 |
| 第 4 週 | Linear differential equations 9/20 9/21 |
| 第 5 週 | Homogeneous equations with constant coefficients 9/27 9/28 |
| 第 6 週 | Nonhomogeneous equations with constant coefficients 10/4 10/5 |
| 第 7 週 | Inverse operation method 10/11 10/12 |
| 第 8 週 | Variation of parameters 10/18 10/19 |
| 第 9 週 | Midterm exam 10/25 10/26 |
| 第 10 週 | Introduction to linear algebra 11/1 11/2 |
| 第 11 週 | Vector, matrix and determinant 11/8 11/9 |
| 第 12 週 | Linear differential systems with constant coefficients 11/15 11/16 |
| 第 13 週 | Characteristic value problems 11/22 11/23 |
| 第 14 週 | Gamma function and beta function 11/29 12/30 |
| 第 15 週 | Laplace transform 12/6 12/7 |
| 第 16 週 | Inverse Laplace transform 12/13 12/14 |
| 第 17 週 | Application of Laplace transform 12/20 12/21 |
| 第 18 週 | Final exam 12/27 12/28 |
Advanced Engineering Mathematics, 2000, Erwin Kreyszic, John Wiley & Sons
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