工程數學(二)
Engineering Mathematics (II)
| 節 | 週一 | 週三 |
|---|---|---|
2 09:00–09:50 | 工程數學(二) EE206（光復） | |
3 10:10–11:00 | 工程數學(二) EE206（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 course designed for sophomore mechanical engineering students. The materials covered during the semester include linear algebra, vector calculus, Fourier analysis and partial differential equations.
Calculus
無備註
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Homework: 10% (作業遲交一律拒收) Midterm 1: 30% Midterm 2: 30% Final: 30%
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| 週次 | 主題 |
|---|---|
| 第 1 週 | Fundamental of vectors 2/28: Holiday 2/26 2/28 |
| 第 2 週 | Vector space, Gram-Schmidt orthogonalization 3/5 3/7 |
| 第 3 週 | Fundamental of matrices, System of linear algebraic equations 3/12 3/14 |
| 第 4 週 | Rank, determinants, cramer's rule, inverse of a matrix 3/19 3/21 |
| 第 5 週 | Eigenvalue problems: eigenvalues and eigenvectors, powers of matrices 3/26 3/28 |
| 第 6 週 | 4/2 Midterm I Symmetric, skew-symmetric and orthogonal matrices, matrix diagoanlization 4/4: Holiday 4/2 4/4 |
| 第 7 週 | Definition and basic concepts of Laplace transform, inverse transform, transform of derivatives 4/9 4/11 |
| 第 8 週 | Translation theorems, ODEs 4/16 4/18 |
| 第 9 週 | Derivatives of transforms, transform of integrals, convolution 4/23 4/25 |
| 第 10 週 | Transform of periodic functions, the Dirac delta function 4/30 5/2 |
| 第 11 週 | Systems of linear differential equations 5/7 5/9 |
| 第 12 週 | 5/14 Midterm II Fourier series, Fourier cosine and sine series 5/14 5/16 |
| 第 13 週 | Complex Fourier series, Fourier integral 5/21 5/23 |
| 第 14 週 | Fourier transform, fast Fourier transform 5/28 5/30 |
| 第 15 週 | Separable partial differential equations 6/4 6/6 |
| 第 16 週 | Classic PDEs, boundary-value problems, heat equation 6/11 6/13 |
| 第 17 週 | Final Exam 6/18 |
Reference: "Advanced Engineering Mathematics" by Erwin Kreyszig, 10th Ed., John Wiley & Sons, 2011. "Advanced Engineering Mathematics" by Dennis Zill and Warren Wright, 5th Ed., Jones & Bartlett Learning. ※ 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
- EE473
- 時間
- By appointment
- 聯絡方式
- Ext: 55119 Email: liaoyh@nctu.edu.tw