複變函數
Complex Variables
| 節 | 週三 |
|---|---|
3 10:10–11:00 | 複變函數 EE220（光復） 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
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
1. 微分方程 2.微積分
無備註
1. 課本說明為主 2. 投影片及黑板說明輔助
1. 期中考一次,每次30% 2.期末考 35% 3.平時小考及作業35%
教師未提供此項資料
| 週次 | 主題 |
|---|---|
| 第 1 週 | Complex Numbers and the Complex Plane,Sets of Points in the Complex Plane 2024-09-04(三) |
| 第 2 週 | Polar Form of Complex Numbers,Powers and Roots 2024-09-11(三) |
| 第 3 週 | Complex Functions,Complex Functions as Mappings,Linear Mappings, 2024-09-18(三) |
| 第 4 週 | Special Power Functions,Reciprocal Function 2024-09-25(三) |
| 第 5 週 | Limits and Continuity, Differentiability and Analyticity 2024-10-02(三) |
| 第 6 週 | Cauchy-Riemann Equations, Harmonic Functions 2024-10-09(三) |
| 第 7 週 | Exponential and Logarithmic Functions, Complex Powers 2024-10-16(三) |
| 第 8 週 | Mid term 2024-10-23(三) |
| 第 9 週 | Trigonometric and Hyperbolic Functions, Inverse Trigonometric and Hyperbolic Functions 2024-10-30(三) |
| 第 10 週 | Real Integrals, Complex Integrals,Cauchy-Goursat Theorem 2024-11-06(三) |
| 第 11 週 | Independence of Path, Cauchy's Integral Formulas and Their Consequences 2024-11-13(三) |
| 第 12 週 | Sequences and Series, Taylor Series, Laurent Series, Zeros and Poles 2024-11-20(三) |
| 第 13 週 | Residues and Residue Theorem, Some Consequences of the Residue Theorem 2024-11-27(三) |
| 第 14 週 | Summing Infinite Series, Conformal Mapping, Linear Fractional Transformations 2024-12-04(三) |
| 第 15 週 | Linear Fractional Transformations,Schwarz-Christoffel Transformations 2024-12-11(三) |
| 第 16 週 | Final 2024-12-18(三) |
Dennis G. Zill, Patrick D. Shanahan, "Complex Analysis", JONES & BARTLETT Learning, 3rd Edition.
- 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