工程數學(一)
Engineering Mathematics (I)
| 節 | 週一 | 週四 |
|---|---|---|
2 09:00–09:50 | 工程數學(一) EE132（光復） | |
7 15:30–16:20 | 工程數學(一) EE132（光復） 2 節連堂 | |
8 16:30–17:20 |
* 根據陽明交大上課時間表所列
This is the first part of the two-semester course designed for sophomore mechanical engineering students. The materials covered during the semester include ordinary differential equations as well as Laplace transform.
Calculus
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Quizzes: 0% (if any) Homework: 15% Midterms& Final: 20, 30, 35%
First-Order ODEs
Basic concepts, Separable ODEs, Exact ODEs, Linear ODEs
Second-Order ODEs
Homogeneous linear ODEs with constant coefficients, Euler-Cauchy equations, Existence and uniqueness of solutions, Wronskian, Nonhomogeneous ODEs, Solution by variation of parameters
Higher Order Linear ODEs
Homogeneous linear ODEs, Homogeneous linear ODEs with constant coefficients, Nonhomogeneous linear ODEs
System of ODEs
Basics of matrices and vectors, System of ODEs in engineering applications, Basic theory of systems of ODEs
Series Solutions of ODEs
Power series method, Legendre's equation, Legendre polynomials, Frobenius method, Bessel equation
Laplace Transforms
Laplace transform, First shifting theorem, Transforms of derivatives and integrals, Unit Step function, Second shifting method, Dirac's delta finction, Convolution, Integral equations
| 週次 | 主題 |
|---|---|
| 第 1 週 | 1.1, 1.3 9/12 9/13 |
| 第 2 週 | 1.4, 1.5 9/19 9/20 |
| 第 3 週 | 2.1, 2.2 9/26 9/27 |
| 第 4 週 | 2.5 10/3 10/4 |
| 第 5 週 | 2.6, 2.7 10/10 10/11 |
| 第 6 週 | 2.10, 3.1 10/17 10/18 |
| 第 7 週 | 3.1, 3.2 10/24 10/25 |
| 第 8 週 | 3.3, 4.0 10/31 11/1 |
| 第 9 週 | 4.1, 4.2 11/7 11/8 |
| 第 10 週 | 5.1, 5.2 11/14 11/15 |
| 第 11 週 | 5.3, 5.4 11/21 11/22 |
| 第 12 週 | 5.4 11/28 11/29 |
| 第 13 週 | 5.5 12/5 12/6 |
| 第 14 週 | 6.1, 6.2 12/12 12/13 |
| 第 15 週 | 6.3, 6.4 12/19 12/20 |
| 第 16 週 | 6.5, 6.6 12/26 12/27 |
| 第 17 週 | 6.7 1/2 1/3 |
| 第 18 週 | The week of final. 1/9 1/10 |
1. D. Zill & W. Wright, "Advanced Engineering Mathematics", 5th Ed. JONES & BARTLETT LEARNING, 2012. 2. E. Kreyszig, "Advanced Engineering Mathematics", 10th Ed. JOHN WILEY & SONS, INC, 2011. ※ 請同學遵守智慧財產權觀念及勿使用非法影印教科書。
- 地點
- EE424
- 時間
- By appoitment
- 聯絡方式
- Email: wyjang@mail.nctu.edu.tw