複變函數
Complex Variables
| 節 | 週三 | 週五 |
|---|---|---|
3 10:10–11:00 | 複變函數 ED201 2 節連堂 | |
4 11:10–12:00 | ||
7 15:30–16:20 | 複變函數 ED201 |
* 根據陽明交大上課時間表所列
The course is designed to provide students with a comprehensive introduction to the concepts and ideas that form the basis of applications of complex functions – a powerful tool of researchers and developers. The field of applications of complex functions is very wide and it includes: control theory, improper integrals, fluid dynamics, electromagnetism, electrical engineering, quantum physics, fractals, etc. The course is a continuation of the calculus of functions but of complex variables. Nevertheless, proofs of major results are presented and standard terminology is used. The course will help students to understand the complex functions that can be used to answer pertinent questions.
微積分、線性代數
Assignments (or Quiz):10% Midterm exam:30% * 2 Final exam:30%
- 1. Complex Numbers
- 2. Analytic Functions
- 3. Elementary Functions
- 4. Complex Integration
- 5. Complex Series
- 6. Residue Theory
| 週次 | 主題 |
|---|---|
| 第 1 週 | 1-1~1-4 |
| 第 2 週 | 1.5~1.7 |
| 第 3 週 | 2.1~2.3 |
| 第 4 週 | 2.4~2.5 |
| 第 5 週 | 3.1~3.2 |
| 第 6 週 | 3.3~3.4 Midterm (I) @ 3/26 |
| 第 7 週 | 3.5~3.6 |
| 第 8 週 | 春假 4.1 |
| 第 9 週 | 4.2~4.3 |
| 第 10 週 | 4.4~4.5 |
| 第 11 週 | 4.5~4.7 |
| 第 12 週 | 5.1~5.2 |
| 第 13 週 | 5.3~5.5 Midterm (II) @ 5/14 |
| 第 14 週 | 5.5~5.6 |
| 第 15 週 | 6.1~6.2 |
| 第 16 週 | 6.3~6.4 |
| 第 17 週 | 6.5 Final Term @ 6/16 |
| 第 18 週 |
Textbook: E. B. Saff and A. D. Snider, Fundamentals of Complex Analysis, 3rd ed., 2014. Reference: 1. J. W. Brown and R. V. Churchill, Complex Variables and Applications, 9th ed., 2014. 2. A.David Wunsch, Complex Variables with Applications, 3rd ed., 2005
- 地點
- 工程四館408室
- 時間
- 每週二AM10:00~12:00
- 聯絡方式
- Tel: 03-5131289 Email: graylin@nycu.edu.tw