Math 440 and 508
Complex Analysis

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