工程數學(2)
Engineering Mathematics(2)
| 節 | 週一 |
|---|---|
6 14:20–15:10 | 工程數學(2) EE106 3 節連堂 |
7 15:30–16:20 | |
8 16:30–17:20 |
* 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, Fourier analysis, and partial differential equations will be covered in this course.
Calculus
A. All of the course materials will be available on new e3 including lecture notes and homework solutions. All the materials covered in class will be repeated again in mandarin right after the English version. B. Homework are graded by effort not by correctness while all late submissions (after solution posted) receive only half of the total points. Late submissions will not be accepted if it is not regarding the upcoming exam. C. Full points will be given as your final score if and only if the final score without the extra points from exam corrections is already 100. ※ For all quarantined students as well as those who are taking this course remotely, recorded lectures will be posted on new e3. But in order to make sure all students are on the same page, lectures will only be available until 11:59 pm of the upcoming Sunday of the week. Teaching Assistants:
Homework: 15% Midterm 1 & 2: 25% each (10 extra pts given for each exam correction) Final: 35%
| 週次 | 主題 |
|---|---|
| 第 1 週 | Linear algebra: Matrices, Vectors, Determinants, Matrix multiplication, Linear system. |
| 第 2 週 | 3/1: Holiday Coefficient matrix, Augmented matrix. |
| 第 3 週 | Linear independence, Rank of a matrix, Vector space, Solutions of linear systems. |
| 第 4 週 | Determinants, Cramer's rule, Matrix inverse, Eigenvalue problems: eigenvalues and eigenvectors. |
| 第 5 週 | Orthogonal matrices, Matrix diagonalization, 1st midterm review. |
| 第 6 週 | 3/29: 1st midterm 3/31: 1st midterm solution correction |
| 第 7 週 | 4/5: Holiday Vector function and fields |
| 第 8 週 | Derivatives, Curves, Arc length. |
| 第 9 週 | Gradient of a scalar field, Directional derivative, Divergence of a vector field, Curl of a vector field. |
| 第 10 週 | Vector integrals, Path independence of line integrals. |
| 第 11 週 | Triple integrals, Divergence theorem, Stoke's theorem, 2nd midterm review. |
| 第 12 週 | 5/10: 2nd midterm 5/12: 2nd midterm solution correction |
| 第 13 週 | Fourier series, Fourier cosine and sine series, Fourier series of any period, Fourier integral. |
| 第 14 週 | Fourier cosine and sine integral, Fourier transform, Convolution. |
| 第 15 週 | Partial differential equations, Boundary value problems. |
| 第 16 週 | Wave equations, Separation of variables, Fourier series. |
| 第 17 週 | 6/14: Holiday D'Alembert's solution of wave equation, Heat equation, Final exam review. |
| 第 18 週 | 6/21: Final Exam |
No specific textbook is appointed, but you may refer to the references below: "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. "Advanced Engineering Mathematics" by Peter V. O'neil, 8th Ed., CENGAGE Learning. ※ Please don't make copies in any form.
- 地點
- EE453
- 時間
- By appointment
- 聯絡方式
- Ext: 55134 Mail: jchang40@nctu.edu.tw