複變函數
Complex Variables
學期
113-2
學分
3
學分
當期課號
515405
永久課號
EEDP10017
開課單位
光電工程學系
授課教師
黃嘉彥
校區
光復
類別
必修
上課時間表
| 節 | 週一 | 週三 |
|---|---|---|
3 10:10–11:00 | 複變函數 CY203 2 節連堂 | |
4 11:10–12:00 | 複變函數 CY203 |
* 根據陽明交大上課時間表所列
概述
This is a one-semester course in the theory of functions of a complex variable and its application for photonic major. We shall first learn fundamental theorems in complex analysis and then introduce applications of residues and conformal mapping. Complex function is the fundamental of electromagnetic wave, and We'll learn how difficult problems in real space might be solved on the complex plane.
先修科目
Calculus and Differential Equation.
教學方式
Black board presentation and homework assignment in weekly basis. Homework graded by TA. Midterm/final graded by Professor
評分方式
13 weekly homework (35%) Midterm (30%) Final (35%)
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Complex number and complex plane |
| 第 2 週 | Limit and derivative |
| 第 3 週 | Analytic complex function |
| 第 4 週 | Elementary functions-I |
| 第 5 週 | Elementary functions-II |
| 第 6 週 | Contour Integral and anti-derivative |
| 第 7 週 | Cauchy integral formula |
| 第 8 週 | Midterm |
| 第 9 週 | Complex series-I |
| 第 10 週 | Complex series-II |
| 第 11 週 | Residue and Poles |
| 第 12 週 | Application to residue theorem-I |
| 第 13 週 | Application to residue theorem-II |
| 第 14 週 | Mapping with elementary function |
| 第 15 週 | Conformal mapping |
| 第 16 週 | Final |
教科書
Complex Variables and Applications 9th edition by James Ward Brown and Ruel V. Churchill
Office Hours
- 地點
- TKB Rm.417B
- 時間
- Friday 2 pm to 4 pm
- 聯絡方式
- Cyhuang06@nycu.edu.tw