複變函數
Complex Variables
學期
113-1
學分
3
學分
當期課號
515135
永久課號
EEEC20056
開課單位
電機工程學系
授課教師
曾煜輝
校區
光復
類別
選修
上課時間表
| 節 | 週三 |
|---|---|
3 10:10–11:00 | 複變函數 EE220 3 節連堂 |
4 11:10–12:00 | |
N 12:20–13:10 |
* 根據陽明交大上課時間表所列
概述
1. Complex Numbers and the Complex Plane 2. Complex Functions and Mappings 3. Analytic Functions 4. Elementary Function 5. Integration in the complex plane 6. Series and residue 7. Conformal mappings
先修科目
1. 微分方程 2.微積分
教學方式
1. 課本說明為主 2. 投影片及黑板說明輔助
評分方式
1. 期中考一次,每次30% 2.期末考 35% 3.平時小考及作業35%
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Complex Numbers and the Complex Plane,Sets of Points in the Complex Plane |
| 第 2 週 | Polar Form of Complex Numbers,Powers and Roots |
| 第 3 週 | Complex Functions,Complex Functions as Mappings,Linear Mappings, |
| 第 4 週 | Special Power Functions,Reciprocal Function |
| 第 5 週 | Limits and Continuity, Differentiability and Analyticity |
| 第 6 週 | Cauchy-Riemann Equations, Harmonic Functions |
| 第 7 週 | Exponential and Logarithmic Functions, Complex Powers |
| 第 8 週 | Mid term |
| 第 9 週 | Trigonometric and Hyperbolic Functions, Inverse Trigonometric and Hyperbolic Functions |
| 第 10 週 | Real Integrals, Complex Integrals,Cauchy-Goursat Theorem |
| 第 11 週 | Independence of Path, Cauchy's Integral Formulas and Their Consequences |
| 第 12 週 | Sequences and Series, Taylor Series, Laurent Series, Zeros and Poles |
| 第 13 週 | Residues and Residue Theorem, Some Consequences of the Residue Theorem |
| 第 14 週 | Summing Infinite Series, Conformal Mapping, Linear Fractional Transformations |
| 第 15 週 | Linear Fractional Transformations,Schwarz-Christoffel Transformations |
| 第 16 週 | Final |
教科書
Dennis G. Zill, Patrick D. Shanahan, "Complex Analysis", JONES & BARTLETT Learning, 3rd Edition.
Office Hours
- 地點
- Room 730, Engineering Building 5.
- 時間
- 0900~0950, Monday.
- 聯絡方式
- mail: yuhwaitseng@g2.nctu.edu.tw Tel: 03-5712121-54440