Math 511 Information Sheet

Spring, 2004

This class meets in Carver 68


Revised March 1, 2004.

 


  Office 410 Carver
  Office Hours: Monday, Wednesday, Friday 10:00 - 10:50
   E-mail: halevine@iastate.edu
   phone: 294-8145


  • Be sure to purchase the textbook,  Function Theory of One Comples Variable by Greene and Krantz   and read the first chapter as soon as possible.
  • The course will be graded based on homework, a (take-home) midterm exam, and the (in-class) final exam. Homework is worth 50%, and the two exams are each worth 25%. Approximate cut-offs are 90% = A, 80% = B, 70% = C, 55% = D. Adjustments to this scale (such as plus/minus grades) will be made at the instructors' discretion.
  • There is a syllabus further down on this page. 
  • Late homework assignments will not be accepted for any reason.


    • Syllabus for Math 511

    Chapter 1. Fundamental Concepts
    Chapter 2.  Complex Line Integrals

    Chapter 3. Applications of the Cauchy Integral
    Chapter 4 Meromorphic Functions and Residues
    Chapter 5. The Zeros of a Holomorphic Function
    Topics from Chapters 6, 7 and 8.  Holomorphic Functions as Geormetric Mappings, Harmonic Functions, Infinite Series and Products

    Homework assignments

    General remark; There will be 12-14 sets assigned over the semester. Each set will have around 3-8 problems. You will be expected to do the entire set although I will only grade a small subset of each set. (It will be the same subset for everyone.) Many of the problems can be viewed as practice problems for the qualifying examination.

    You may discuss the problems among yourselves but the write ups should be in your own words and done in one of the TEX programs.  There will be a 20% penalty for work not done in a TEX format.

    Problem set #1,  Part 1.  Pages 22-28 of the text, #19,21,24,27b, 28.  Set is due   January 21, 2004.  

    Problem set #1,  Part 2.  Pages 22-28 of the text, #32, 36,37,41,43,58  Set is due  January 28, 2004.

    Problem set #2,   Part 1.   Pages  60-67of the text, #  4a-d., 5, 12, 15.  Set is due  February 6, 2004.

    Problem set #2,  Part 2.  Pages 60-67 of the text   #  3, 6 ,9, 29, 31.    Set is due February 11, 2004.

    Problem set  #2,  Part 3.   Pages 60-67 of the text. #   38, 39, 40.    Set is due February  16, 2004

    Problem set #3,   Part 1,  Pages 94-103  of text.  #  1,  2,  3,  Set is due February  18, 2004

    Problem set #3, Part 2,   Pages 94-103 of text. # 5, 6 (Problem 6 refers to problem 5, part c.) #,11 (odd letters only), #12

                                             15, 16, 17, 18, 20a,b,  21,  23,  24,  27    Set is due February  23, 2004 

                                            (True - False statements must be supported with reasons.)

    Problem set #3, Part 3,  Pages 94-103 of text,   #30, 34,  42, 44.  Set is due March 1, 2004

    Problem set #4, Part 1,  Pages 145-156 of text, # 1, 2, 3, 5, 7, 13, 14   Set is due  March 5, 2004 

    Problem set #4, Part 2,  Pages 145-156 of text,  # 17, odd letters,  19, 20, 24, 29, odd letters,  32   Due March 8, 2004

    Problem set #4, Part 3,  Pages 145-156 of text,  #35 odd letters, 36 odd letters,  37, 42, 45 odd letters,  Due March 12, 2004

    Problem set #4, Part 4,  Pages 145-156 of text,  #49-67, odd  numbers only, 72 Due March 29 , 2004

    Problem set #5, Part 1,  Pages 175-178  of  text,  #1, 2, 3, 6, 8, 9,  Due April 7, 2004

    Problem  set #5, Part 2.   Pages 175-178  of  text,  10 a-f, 11, 12,  13,   16, 17, Due April 14, 2004

    Problem set #6, Part 1,   Pages 202-206 of text,  1,  3,  4, 6, 8,  Due   April 23, 3004

    Problem set #6, Part 2,   Pages 202-206 of text,   12,   13, 14,  17, 19  Due   April 30, 3004

     

    Midterm take home exam:  

    Problems p27  #57,   p63 #25a,b,   p67 #43,  p99 #39, p101 #54, p101 #56.

    Due date  for the mid-term will be Monday,  March 22, 2004.  You may not consult any books or notes other than your own or texts on real analysis or ordinary differential equations.   You may not use the Internet.  You are on your honor to do your own work.   You may not consult with other students in class or with other graduate students or faculty.  Questions about problems must be directed to me.

     

     



    Solutions of selected problems:

    Problem Set 1, part 1.
    Problem Set 1, part 2.
    Problem Set 3, part 2, #18.
    Problem Set 3, part 2. #21
    Problem Set 3, part 2. #27