MATH 8702 - Complex Analysis - Spring 2014

| Class Lecture Notes | Homework | Moodle | Further Reading |

General Information

Time MWF, 2:30--3:20 p.m.
Location Vincent Hall, Room 213
Professor Ben Brubaker (brubaker@math.umn.edu)
Office: Vincent Hall, Room 233
Office Phone: 5-6380
Office Hours: W 1-2, Th 12:30-1:30, and always available by appointment
Textbooks Lars Ahlfors, Complex Analysis (3rd. Ed., McGraw-Hill)
Also recommended: Miranda, ``Algebraic Curves and Riemann Surfaces'' (AMS)
Course
Assignments
Weekly problem sets (40% of total grade), a midterm (20%), and a final exam (40%).
Syllabus to appear here

Times for Small Group Meetings (in VinH 233)

  • Alex, Ben, and Jasper -- 1:00 pm, Thursday
  • Steven and Thomas -- 3:30 pm, Wednesday
  • Kate, Shelley, and Drusilla -- 10:00 am, Monday
  • Chunyang, Tiansi, Daoping -- 2:00 pm, Thursday
  • Shu and Yongxin -- 4:00 pm, Wednesday

Final Exam -- as linked PDF (Due Saturday, May 17)

Midterm Exam -- as linked PDF (Due Monday, March 24)

Homework

Section and page numbers with an (A) denote Ahlfors' book.

  • Problem Set 2 (Due Friday, Feb. 14):
    • Ahlfors Section 5.5 (p. 227): 1, 2, 3
    • Ahlfors Section 3.3.1 (p. 78): 1, 2
    • Ahlfors Section 3.3.2 (p. 80) 1, 2, 4
  • Problem Set 3 (Due Friday, Feb. 28):
    • Ahlfors Section 4.6.4 (p. 171): 4, 5, 6
    • Ahlfors Section 7.3.2 (p. 274): 1, 2
    • Additional problems
  • Problem Set 4 (Due Friday, March 14):
    • Miranda Section I.1 (p. 7): A, F
    • Miranda Section I.2 (p. 12): C, G, J
    • Miranda Section I.3 (p. 18): D, F (ignore part about genus)
  • Problem Set 5 (Due Friday, April 4):
    • Miranda Section II.1 (p. 30): F
    • Miranda Section II.2 (p. 38): A
    • Miranda Section II.3 (p. 43): E, I, J
    • Miranda Section II.4 (p. 53): G, K, J
  • Problem Set 6 (Due Monday, April 21):
    • Miranda Section III.1 (p. 65): A, B, C, F, J
    • Miranda Section III.4 (p. 93): C, D, F, G, I

Homework Solutions

  • Weekly problem set solutions to appear here

Further Reading

  • Various additional readings and handouts to appear here