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35% 2.期末考一次 30% 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 2025-09-03(三) |
| 第 2 週 | Polar Form of Complex Numbers,Powers and Roots 2025-09-10(三) |
| 第 3 週 | Complex Functions,Complex Functions as Mappings,Linear Mappings, 2025-09-17(三) |
| 第 4 週 | Special Power Functions,Reciprocal Function 2025-09-24(三) |
| 第 5 週 | Limits and Continuity, Differentiability and Analyticity 2025-10-01(三) |
| 第 6 週 | Cauchy-Riemann Equations, Harmonic Functions 2025-10-08(三) |
| 第 7 週 | Exponential and Logarithmic Functions, Complex Powers 2025-10-15(三) |
| 第 8 週 | Mid term 2025-10-22(三) |
| 第 9 週 | Trigonometric and Hyperbolic Functions, Inverse Trigonometric and Hyperbolic Functions 2025-10-29(三) |
| 第 10 週 | Real Integrals, Complex Integrals,Cauchy-Goursat Theorem 2025-11-05(三) |
| 第 11 週 | Independence of Path, Cauchy's Integral Formulas and Their Consequences 2025-11-12(三) |
| 第 12 週 | Sequences and Series, Taylor Series, Laurent Series, Zeros and Poles 2025-11-19(三) |
| 第 13 週 | Residues and Residue Theorem, Some Consequences of the Residue Theorem 2025-11-26(三) |
| 第 14 週 | Summing Infinite Series, Conformal Mapping, Linear Fractional Transformations 2025-12-03(三) |
| 第 15 週 | Linear Fractional Transformations,Schwarz-Christoffel Transformations 2025-12-10(三) |
| 第 16 週 | Final 2025-12-17(三) |
Dennis G. Zill, Patrick D. Shanahan, "Complex Analysis", JONES & BARTLETT Learning, 3rd Edition.
- 地點
- Room 730, Engineering Building 5.
- 時間
- 1700~1900, Monday.
- 聯絡方式
- mail: yuhwaitseng@nycu.edu.tw Tel: 03-5712121-54440