Complex Variables -- MAA 4402-01

Meets MTWRF 12:30-1:50 102 LOV "C" Session
Instructor Dr Steve Bellenot (bellenot at math.fsu.edu) 850.644.7405
OFFICE HOURS MTWR 2-3pm.
Homework problems are heavily based on problems from Brown and Churchill. Here are the collection of problems that were assigned several summers ago and are paraphased in this pdf handout. The schedule of due dates.
Text: You will need a textbook, but there are several to choose from: The homework questions are taken from Brown and Churchill 7th Edition Complex Variables and Applications. But the current edition is the 8th. Likely any edition of Churchill or Churchill and Brown will cover the material in the same or near the same order. You might choose to forgo an expensive textbook and select one or more of these more classic textbooks which cost considerably less. Of course, the topics and order are slightly different. Amazon prices change frequently, the numbers below are not current prices.

• Fisher Complex Variables : Second Edition $11.87 @ Amazon
• Dettman Applied Complex Variables $13.27 @ Amazon
• Silverman Complex Analysis with Applications $10.36 @ Amazon

• Complex Analysis by George Cain
• Complex Variables by Novinger and Ash it is at the Graduate Level

• The scilab example files like hw1.sce
• Domain plotting
• Other books. This book is not cheap nor trivial but it presents the material more geometrically and is a recommended reference for the graduate course in complex analysis.
  • Needham Visual Complex Analysis $65.00 @ Amazon
• TI-89 and complex numbers. a few hints
• Maple and complex numbers. Maple treats all variables as if they are complex, enter sqrt(-1) as I (capitial I).
• Scilab and complex numbers. Scilab treats most variables as if they were complex, enter sqrt(-1) as %i. (Pi is entered %pi and e is entered exp(1).) So Euler's e^i pi = -1 looks like

  -->exp(%i*%pi)
   ans  =
    - 1. + 1.225E-16i  
  -->clean(exp(%i*%pi))
   ans  =
    - 1.  
  

  The E-16 is round-off error and the clean command replaces very small numbers by zero.