MATH3X3   COURSE OUTLINE (Spring 2000)

This course is offered by
Department of
Mathematics and Statistics


Instructor:   Dr. Pengfei Guan (GS-205D, Extension 27155)

Website:  http://icarus.math.mcmaster.ca/guan/guan.html

Textbook: Function Theory of One Complex Variable, by Greene and Krantz.


Office Hours:  Monday, 9:30am - 10:30am; Wednesday, 9:30am-10:30am; 

      Or by appointment.

Course Content: This is an introduction course in complex analysis
      (in one complex variable). We will first review complex numbers and
      topology of sets of the complex plane. The main subject of the
      study is analytic functions of one complex variable. Some elementary
      properties of analytic fuctions will be examined, e.g. Cauchy-Riemann
      equations. With the introduction of complex integration, we will
      prove Cauchy Theorem, Cauchy formulas, Residue Theorem, and power
      series expression of analytic functions. Then, we will treat some
      topics related to maximum modulus theorem, normal family, confomal
      mappings. Harmonic functions and entire functions will be also discussed.
 
Assignments: There will be five assignments (due on the following
      Thursdays: January 20, February 3, 17, March 16, 30).ALL ASSIGNMENTS 
      SHOULD BE HANDED IN BY 3:00pm (FIRM) ON DUE DAYS.
      THE DEPOSIT BOXE IS LOCATED THE OUTSIDE OF BSB-B157.
 

 
Middle Term Test (in-class): February 17 (Thursday).
 
Final Examination: to be scheduled in April.
 
Marking System: Assignments, 25%,  Middle Term Test 25%
      and Final Examination 50%.
  
 
Ethics: Attention is drawn to the "Statement on Academic Dishonesty" received
during registration and available in the Senate office. Any student who
infringes any of these resolutions will be treated according to the published
policy.


Back to main page