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 2023-09-13(三) |
| 第 2 週 | Polar Form of Complex Numbers,Powers and Roots 2023-09-20(三) |
| 第 3 週 | Complex Functions,Complex Functions as Mappings,Linear Mappings, 2023-09-27(三) |
| 第 4 週 | Special Power Functions,Reciprocal Function 2023-10-04(三) |
| 第 5 週 | Limits and Continuity, Differentiability and Analyticity 2023-10-11(三) |
| 第 6 週 | Cauchy-Riemann Equations, Harmonic Functions 2023-10-18(三) |
| 第 7 週 | Exponential and Logarithmic Functions, Complex Powers 2023-10-25(三) |
| 第 8 週 | Mid term 2023-11-01(三) |
| 第 9 週 | Trigonometric and Hyperbolic Functions, Inverse Trigonometric and Hyperbolic Functions 2023-11-08(三) |
| 第 10 週 | Real Integrals, Complex Integrals,Cauchy-Goursat Theorem 2023-11-15(三) |
| 第 11 週 | Independence of Path, Cauchy's Integral Formulas and Their Consequences 2023-11-22(三) |
| 第 12 週 | Sequences and Series, Taylor Series, Laurent Series, Zeros and Poles 2023-11-29(三) |
| 第 13 週 | Residues and Residue Theorem, Some Consequences of the Residue Theorem 2023-12-06(三) |
| 第 14 週 | Summing Infinite Series, Conformal Mapping, Linear Fractional Transformations 2023-12-13(三) |
| 第 15 週 | Linear Fractional Transformations,Schwarz-Christoffel Transformations 2023-12-20(三) |
| 第 16 週 | Final 2023-12-27(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