工程數學(二)
Engineering Mathematics (II)
| 節 | 週二 | 週四 |
|---|---|---|
2 09:00–09:50 | 工程數學(二) EE130（光復） 2 節連堂 | 工程數學(二) EE130（光復） |
3 10:10–11:00 |
* 根據陽明交大上課時間表所列
This is the second half of Engineering Mathematics designed to be a full academic year course. This course is to establish the fundamental mathematical knowledge for sophomore mechanical engineering students. Vector calculus, linear algebra, Laplace transforms, Fourier analysis, and partial differential equations will be covered in this course.
Calculus
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Teaching Assistants: 鄭諺澤 Email: chrispaul0923@gmail.com 許睿庭 Email: lisahsu10323252@gmail.com
Homework: 20% (NO late homework will be accepted!) Midterm 1: 25% Midterm 2: 25% Final: 30%
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| 週次 | 主題 |
|---|---|
| 第 1 週 | Fundamental of vectors, Grad, Div, Curl 2/19 2/21 |
| 第 2 週 | Vector integral theorems 2/28: Holiday 2/26 2/28 |
| 第 3 週 | Fundamental of matrices, System of linear algebraic equations 3/5 3/7 |
| 第 4 週 | Rank, determinants, cramer's rule, inverse of a matrix 3/12 3/14 |
| 第 5 週 | Eigenvalue problems: eigenvalues and eigenvectors, powers of matrices 3/19 3/21 |
| 第 6 週 | 3/26 Midterm I Symmetric, skew-symmetric and orthogonal matrices, matrix diagoanlization 3/26 3/28 |
| 第 7 週 | Definition and basic concepts of Laplace transform 4/4: Holiday 4/2 4/4 |
| 第 8 週 | Inverse transform, transform of derivatives, translation theorems, ODEs 4/9 4/11 |
| 第 9 週 | Derivatives of transforms, transform of integrals, convolution 4/16 4/18 |
| 第 10 週 | Transform of periodic functions, the Dirac delta function 4/23 4/25 |
| 第 11 週 | Systems of linear differential equations 4/30 5/2 |
| 第 12 週 | 5/7 Midterm II Fourier series, Fourier cosine and sine series 5/7 5/9 |
| 第 13 週 | Complex Fourier series, Fourier integral 5/14 5/16 |
| 第 14 週 | Fourier transform, fast Fourier transform 5/21 5/23 |
| 第 15 週 | Separable partial differential equations 5/28 5/30 |
| 第 16 週 | Classic PDEs, boundary-value problems, 6/4 6/6 |
| 第 17 週 | Heat equation, review 6/11 6/13 |
| 第 18 週 | Final Exam 6/18 |
"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. ※ Please don't make copies in any form.
- 地點
- EE447 (temporary)
- 時間
- By appointment
- 聯絡方式
- Ext: 55224 Email: jchang40@nctu.edu.tw