MATH 4XO3   COURSE OUTLINE (Fall 2001)

This course is offered by
Department of
Mathematics and Statistics



Instructor:   Dr. Pengfei Guan (GSB-205/D, Extension 27155, guan@icarus)
Website:  http://icarus.math.mcmaster.ca/guan/guan.html

Office Hours:  Wednesday and Friday, 10:30-11:30am. Or by appointment.

Prerequiste: Math 3XO3 (Complex Analysis I)

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


Course Content: This is an advanced course in complex analysis
      (in one complex variable). We will first review some basic material
      of analytic functions of one complex variable in the first few weeks.
      e.g. Cauchy-Riemann equations, complex integration, Cauchy Theorem and
      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, infinite series and products. If time allows, we will
      discuss analytic continuation. It means that we will cover the text
      book upto chapter 10 (the first 6 chapters are considered as review  
      material).


Assignments: There will be six assignments (due
      on following Wednesdays:
      Sept. 19, Oct. 3, 17, 31, Nov. 14, 28). ALL ASSIGNMENTS
      SHOULD BE HANDED IN CLASS (FIRM) ON DUE DAYS.

Middle Term Test (in-class): Oct. 26 (Friday).

Take Home Examination: Handed out on Wednesday, Nov. 28, and will
      be due at 12:30pm on Monday, December 3.

Marking System: Assignments, 40%,  Middle Term Test 25%
      and Take Home Examination 35%.                  

                                    
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.


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