複變函數

This course will enhance students understanding of and interest on the functions of complex variables. The course is designed to provide students with a comprehensive introduction to the concepts and ideas that form the basis of applications of complex functions – a powerful tool of researchers and developers. The field of applications of the complex functions is very wide and it includes: control theory, improper integrals, fluid dynamics, electromagnetism, electrical engineering, quantum physics, fractals, etc. The course is addressed to a typical student majoring in engineering and science who is prepared in calculus and linear algebra. Some working knowledge of differential equations would be helpful. In the course we pay attention to the theory of the complex variables, but only within bars we feel are necessary in the first course. So, the course is a continuation of the calculus of functions but of a complex variable. Nevertheless, proofs of major results are presented and standard terminology is used. The course will help students to understand the complex functions those can be used to answer pertinent questions.

微積分、線性代數

Assignments (or Quiz):10% Midterm exam:30% * 2 Final exam:30%

• Introduction
• Complex Numbers
• Analytic Functions
• Elementary Functions
• Complex Integration
• Series Representations for Analytic Functions
• Residue Theory

Textbook: E. B. Saff and A. D. Snider, Fundamentals of Complex Analysis, 3rd ed., 2014. Reference: 1. J. W. Brown and R. V. Churchill, Complex Variables and Applications, 9th ed., 2014. 2. A. David Wunsch, Complex Variables with Applications, 3rd ed., 2005.

地點

工程四館408室

時間

每週三AM10:00~12:00

聯絡方式

Tel: 03-5131289 Email: graylin@mail.nctu.edu.tw