Ian Agol


Math 535

Spring 2007

  11:00 MWF
303 Adams Hall


Office: 528 Science and Engineering Offices
Office Hours MF 2, W 1 and by appointment
E-mail: agol at math.uic.edu
Phone: (312) 413-3741 (Office)
Fax: (312) 996-1491

Text: Complex Analysis, Third Edition, Ahlfors


Homework

Assignment 1: Due Monday 1/29/07 page 3: 2b), 2c), page 9: 3),4) page 11; 1),4) page 16: 4) page 17; 1),5), page 20; 1)

Assignment 2. Due Monday 2/12/07 page 28: 4),5) page 33: 4),5), page 37: 2),4),5)

Assignment 3: Read pp. 33-47, review pp. 48-67, read pp. 67-76, pp. 101-120
 Due Monday 2/26/07 page 41: 3a),4),5),8), page 47: 3, 6 b),

Assignment 4: Due Monday 3/12/07 p. 72: 1, 3, page 108: 1, 6, 7, page 120: 2,3

Assignment 5: Due Monday 4/9/07 Read pp. 120-161;  p. 123: 1, 2, 4, 5;  p. 130: 2, 4, 6;
p. 133: 1, 3; p. 136: 1, 5

Assignment 6: Due Monday, 4/23/07 Read pp. 148-161, 175-186;
Do problems p. 148: 4, 5; p. 154: 1, 2, 3; p. 161: 1 b) d) f), 3 c) e) h);
p. 184: 2, 5; p. 186: 3

Grading
  • There will be one midterm on March 14 which will count for 20% of your final grade.
  • The final will count for 40%.
  • The homework counts for the remaining 40%.

    Sample Exam

  • A sample midterm is given by file.

  • Solutions to midterm

    Final Exam

    Final Exam Solutions

    Links
    Another Complex proof of Napoleon's theorem
    Inversion takes circles to circles

    Escher's Print Gallery
    Droste effect and Logarithmic transform