複變函數
Complex Variables
| 節 | 週二 | 週四 |
|---|---|---|
2 09:00–09:50 | 複變函數 EE207（光復） | |
5 13:20–14:10 | 複變函數 EE207（光復） 2 節連堂 | |
6 14:20–15:10 |
* 根據陽明交大上課時間表所列
To study elementary theory of functions of a complex variable and its applications to science and engineering
Calculus
無備註
Lecture- three hours per week Web: E3 platform
Homework 20% Exam #1 20% Exam #2 20% Final Exam 40%
Functions of a complex variable
limits, continuity, derivatives, Cauchy-Riemann equations, analytic functions, harmonic functions
- 講授：
- 9
- 示範：
- 0
- 實作：
- 0
- 其他：
- 0
Elementary functions
exponential and logarithmic functions, and trigonometric and hyperbolic functions
- 講授：
- 3
- 示範：
- 0
- 實作：
- 0
- 其他：
- 0
Integrals
contour integrals, upper bounds for moduli of contour integrals, antiderivatives, Cauchy-Goursat theroem, Cauchy integral formula, Liouville's theorem and fundamental theorem of algebra, and maximum modulus principle.
- 講授：
- 12
- 示範：
- 0
- 實作：
- 0
- 其他：
- 0
Series representaions of functions
Taylor series, Laurent series, and power series
- 講授：
- 6
- 示範：
- 0
- 實作：
- 0
- 其他：
- 0
Theory of residues and its applications
isolated singular points, Cauchy's residue theorem, residue at poles, zeros of analytic functions, argument principle, Rouche's theorem, and inverse Laplace transform
- 講授：
- 10
- 示範：
- 0
- 實作：
- 0
- 其他：
- 0
Mapping by elementary functions
Linear transformations, linear fractional transformations, mappings by 1/z, z^2,and z^(1/2), etc.
- 講授：
- 3
- 示範：
- 0
- 實作：
- 0
- 其他：
- 0
Conformal mapping
Preservation of angles, scale factors, local inverse, harmonic conjugates, transformation of harmonic functions, and transformation of boundry conditions
- 講授：
- 3
- 示範：
- 0
- 實作：
- 0
- 其他：
- 0
教師未提供此項資料
Complex variables and Its Applications by J. W. Brown and R. V. Churchill, 9th edition, McGraw Hill 2014.
- 地點
- EE722
- 時間
- Office hours: 2-4 Wednesday
- 聯絡方式
- calin@cc.nctu.edu.tw ext. 31679