複變函數
Complex Variables
| 節 | 週三 |
|---|---|
3 10:10–11:00 | 複變函數 EE102（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
30% Midterm Exam. 32% Homework * 8% Participation (attendance, quizzes, etc.) * 30% Final Exam.
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 2026-09-09(三) |
| 第 2 週 | Polar Form of Complex Numbers,Powers and Roots 2026-09-16(三) |
| 第 3 週 | Complex Functions,Complex Functions as Mappings,Linear Mappings, 2026-09-23(三) |
| 第 4 週 | Special Power Functions,Reciprocal Function 2026-09-30(三) |
| 第 5 週 | Limits and Continuity, Differentiability and Analyticity 2026-10-07(三) |
| 第 6 週 | Cauchy-Riemann Equations, Harmonic Functions 2026-10-14(三) |
| 第 7 週 | Exponential and Logarithmic Functions, Complex Powers 2026-10-21(三) |
| 第 8 週 | Mid term 2026-10-28(三) |
| 第 9 週 | Trigonometric and Hyperbolic Functions, Inverse Trigonometric and Hyperbolic Functions 2026-11-04(三) |
| 第 10 週 | Real Integrals, Complex Integrals,Cauchy-Goursat Theorem 2026-11-11(三) |
| 第 11 週 | Independence of Path, Cauchy's Integral Formulas and Their Consequences 2026-11-18(三) |
| 第 12 週 | Sequences and Series, Taylor Series, Laurent Series, Zeros and Poles 2026-11-25(三) |
| 第 13 週 | Residues and Residue Theorem, Some Consequences of the Residue Theorem 2026-12-02(三) |
| 第 14 週 | Summing Infinite Series, Conformal Mapping, Linear Fractional Transformations 2026-12-09(三) |
| 第 15 週 | Linear Fractional Transformations,Schwarz-Christoffel Transformations 2026-12-16(三) |
| 第 16 週 | Final 2026-12-23(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