MATH5030 COMPLEX FUNCTION THEORY

Fall sesmester, 2017-18

Lecture schedule: Every Monday and Wednesday, 10:30-11:50 (room CYT: G001)

The course assumes knowledge from a stardard first courses in complex analysis such as our MATH4023 and real analysis. We aim to cover the following topics (tentative):

• Revision on Analytic functions
• Maximum principles
• Conformal mappings including Riemann Mapping theorem
• Elliptic functions
• Theta functions
• Modular functions
• Picard's theorem

Grade distribution: 20% homework + 20% presentation/project + 60% final examinaton.

• Project presentation: 05th Dec. 2017, 14:00--20:00, room 5504
• Final examination:  9th Dec. 2017, 12:30-15:30, room 2464

More detail information and notes of this course will be distributed during the first lecture. I shall update this website from time to time.


Lecture notes:

1. Chapter 1 (part I)
2. Chapter 1 (part II)
3. Chapter 2 (PartI)
4. Chapter 2 (PartII) (revised 27th Sept)
5. Chapter 2 (PartIII) (revised 9th Oct)
6. Chapter 2 (PartIV)
7. Chapter 3 (Part I)
8. Chapter 3 (Part II) (revised 24th Oct)
9. Chapter 3 (Part III)
10. Chapter 4
11. Chapter 5 (Part I) (revised on the 15th Nov., 20th Nov. 26th added a new figure)
12. Chapter 5 (Part II) (revised on 25th Nov. 26th Nov: page shifted)
13. Chapter 6 (Part I) (revised on 26th: added a new figure)
14. Chapter 6 (Part II) (29th Nov: added a new figure)
15. Chapter 7
    
16. Whole set as of 29th November