Math 440 and 508
Complex Analysis

The URL for this page is http://www.math.ubc.ca/~boyd/math508/
It will be updated regularly throughout the term

Course Information Section 201 M W F 11:00am MATH 229

Instructor Information Instructor: David Boyd Office: Math Bldg 200 Hours: Mon and Wed 1:00-2:00, or by appointment

Final examination The final examination will be on Monday, April 19 from 3:30 PM to 6:00 PM in room MATH 105 There will be 6 questions of a type comparable with those on the homework. The complete solution of any 5 of these will be enough to obtain full marks on the exam. Here are some sample examinations from previous years: 1997, 2002

Pre-exam Office Hours: Wednesday, Apr 14, 10 AM - 12 Noon Monday, Apr 19, 10 AM - 12 Noon, or by appointment.

Textbook The textbook for this course is Complex Analysis by Theodore W. Gamelin, Springer, 2001

References L.V. Ahlfors, Complex Analysis J. Bak & D.J. Newman, Complex Analysis J.B. Conway, Functions of One Complex Variable, I

Course Outline 1. Review of Analytic Functions and Cauchy's Theorem (Chapters 4-7) 2. Winding number and the Argument Principle (Chapter 8) 3. The Inverse Function Theorem (Chapter 8) 4. Compact Families of Analytic Functions (Section 11.5) 5. Conformal mapping and the Riemann Mapping Theorem (Chapter 9 & 11, Section 10.3) 6. Picard's Theorem (Chapter 12) 7. Iteration - Julia Sets and the Mandelbrot Set (Chapter 12)

Assignments and Exams There will be regular homework assignments that are an important part of the course and will count for 50% of the final mark. There will be a final examination but no mid-term tests.

Solutions Solutions for and comments on some of the homework problems are available: hwk 2 hwk 3 hwk 4 hwk 5 hwk 7 hwk 8 hwk 9 hwk 10

Online Course Material There will be no paper handouts for the course. All such material will be linked to this site and be in pdf format. To read pdf you need Adobe's free acrobat reader .