工程數學(二)
Engineering Mathematics (II)
| 節 | 週一 | 週三 |
|---|---|---|
2 09:00–09:50 | 工程數學(二) EE130（光復） | |
3 10:10–11:00 | 工程數學(二) EE130（光復） 2 節連堂 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
This is the second part of the two-semester Engineering Mathematics course, which is designed for sophomore major in mechanical engineering. Since the course applies many fundamental concepts in Calculus, a prerequisite course of Calculus is required. Engineering Mathematics is an interdisciplinary subject motivated by engineers' needs in practical, theoretical and other considerations in their expertise, and to deal with constraints and limitation that prevent the engineers from keeping moving forward.
Calculus
無備註
Teaching Assistant: 蕭名彥(EE321): gsd001.me05g@nctu.edu.tw 林鼎倫(EE405): darren19940@gmail.com
Homework: 10% Midterms x 2: 30% Final: 30%
教師未提供此項資料
| 週次 | 主題 |
|---|---|
| 第 1 週 | Fundamental of vectors |
| 第 2 週 | Vector space, Gram-Schmidt orthogonalization |
| 第 3 週 | Fundamental of matrices, System of linear algebraic equations |
| 第 4 週 | Rank, determinants, cramer's rule, inverse of a matrix |
| 第 5 週 | Eigenvalue problems: eigenvalues and eigenvectors, powers of matrices |
| 第 6 週 | Symmetric, skew-symmetric and orthogonal matrices, matrix diagoanlization |
| 第 7 週 | Definition and basic concepts of Laplace transform, inverse transform, transform of derivatives |
| 第 8 週 | Translation theorems, ODEs |
| 第 9 週 | Derivatives of transforms, transform of integrals, convolution |
| 第 10 週 | Transform of periodic functions, the Dirac delta function |
| 第 11 週 | Systems of linear differential equations |
| 第 12 週 | Fourier series, Fourier cosine and sine series |
| 第 13 週 | Complex Fourier series, Fourier integral |
| 第 14 週 | Fourier transform, fast Fourier transform |
| 第 15 週 | Separable partial differential equations |
| 第 16 週 | Classic PDEs, boundary-value problems, heat equation |
| 第 17 週 | Wave equation, Laplace's equation |
| 第 18 週 | Final Exam |
Erwin Kreyszig, "Advanced Engineering Mathematics", 10th Ed. John Wiley & Sons, 2012. Peter V. O'Neil, "Advanced Engineering Mathematics", 7th Ed., Cengage Learning, 2011.
- 地點
- EE468
- 時間
- By appointment
- 聯絡方式
- tenghu@nctu.edu.tw