2. Instructor Information
|
Name |
Lee Donghyun |
Department |
Dept. of Mathematics |
| Email address |
donglee@postech.ac.kr
|
Homepage |
|
| Office |
|
Office Phone |
|
| Office Hours |
By appointments
|
3. Course Objectives
Our goal is to study the foundation and applications of the theory of complex-valued functions of a single complex variable. This will provide a firm basis towards learning more advanced topics later.
4. Prerequisites & require
Calculus (Math 101, 102), Introduction to Analysis (Math 311).
5. Grading
Homework/Quiz (20%), Midterm exam (40%), Final exam (40%)
6. Course Materials
| Title |
Author |
Publisher |
Publication
Year/Edition |
ISBN |
|
Complex Analysis
|
Stein & Shakarchi
|
Princeton Univ. Press
|
2003
|
|
7. Course References
R. E. Greene and K.-T. Kim, A first course in Complex Variables (Prepublication) will be distributed for free, with the start of the semester.
8. Course Plan
Week 1: Chapter 1 (Holomorphic functions, Power series, Integration along curves)
Week 2: Chapter 2 (Cauchy-Goursat theorem)
Week 3: No classes
Week 4: Chapter 2 (Applications)
Week 5: Chapter 3 (Meromorphic functions)
Week 6: Chapter 3 (Complex logarithm)
Week 7: Chapter 4 (Fourier transform)
Week 8: Midterm exam (10/28 Thursday 14:00-17:00)
Week 9: Chapter 5 (Entire functions, Jensen’s formula)
Week 10: Chapter 5 (Infinite products)
Week 11: Chapter 6 (Gamma function)
Week 12: Chapter 7 (Zeta function)
Week 13: Chapter 7 (Prime number theorem)
Week 14: Chapter 8 (Conformal mapping, Schwarz lemma)
Week 15: Chapter 8 (Riemann mapping theorem)
Week 16: Final exam (12/23 Thursday 14:00-17:00)
9. Course Operation
숙제를 매주 부과하며, 퀴즈는 탄력적으로 운영할 예정.
10. How to Teach & Remark
학사과정 졸업논문 재료가 풍부한 과목이므로 학생 스스로 탐구 가능성이 높음. 담당교수와 상담 가능.
11. Supports for Students with a Disability
- Taking Course: interpreting services (for hearing impairment), Mobility and preferential seating assistances (for developmental disability), Note taking(for all kinds of disabilities) and etc.
- Taking Exam: Extended exam period (for all kinds of disabilities, if needed), Magnified exam papers (for sight disability), and etc.
- Please contact Center for Students with Disabilities (279-2434) for additional assistance