Teaching

Complex Analysis (H) Spring 2020

 

Lecture times

Every week, from week 1 – week 16

Monday 14:00 – 15:50 Lychee Hills 1 Room 202

Every odd numbered week

Thursday 14:00 – 15:50 Lychee Hills 1 Room 202

First week starts 17th of February

Weeks 17 and 18 are for exams

Before students return, lectures will be recorded and updated on this website

In case of questions, please contact me via email ingridmary@sustech.edu.cn

For questions about assignments, please contact CEN Siyu 1171270@mail.eustech.edu.cn

Course Material

Textbook

Complex Analysis, by Elias M. Stein and Rami Shakarchi 2013

If you do not have access to a copy of this book, please contact me as soon as possible.

A Chinese translation of technical terms used in the course can be found here (Zoey, please make a clickable link to attached file)

Recommended reading

Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable, by Lars V. Ahlfors

Complex Analysis, by Serge Lang

Functions of One Complex Variable, by John B. Conway

Complex Variables and Applications, by James Ward Brown and Ruel V. Churchill

Real and Complex Analysis, by Walter Rudin

简明复分析,龚昇 编著

Lecture Plan

  1. Preliminaries to Complex Analysis (2 hours)
  2. Holomorphic functions, Cauchy-Riemann equations, (6 hours)
  3. Cauchy’s Theorem and Its Applications (10 hours)
  4. Meromorphic Functions and the Logarithm, residue theorem (12 hours)
  5. Entire Functions (6 hours)
  6. Introduction to the Zeta function Zeta (6 hours)
  7. Conformal Mappings and introduction of Riemann surfaces (6 hours)

Assignments

 Assignment 1 Due Monday, 2nd of March

Assignment 2 Due Monday, 16th of March

Assignment 3 Due Monday, 30th of March

Assignment 4 Due date Monday 13th of April

Assignment 5 Due date Monday 27th of April

Assignment 6 Due date Monday 11th of May

Assignment 7 Due date Monday 25th of May

Please hand in any assignments due at the beginning of Monday lectures. If we are still giving lectures online, please email to Cen Siyu 1171270@mail.eustech.edu.cn

Lecture1

Lecture 1

Solution From Lecture 1

Notes from lecture 2

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Introduction to the circle method

Assessment

Assessment

 Fortnightly assignments 30%

Midterm Exam 30%

Final Exam 40%

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