Mathematics 4450 and 5450
Spring 2016
Introduction to Complex Variables

Course Description
Theory of functions of one complex variable, including integrals, power series, residues, conformal mapping, and special functions.  Linear algebra MATH 3130 and real analysis MATH 3001 and MATH 4001 are strongly recommended as prerequisites.
Schedule MWF 2 PM - 3 PM,  ECCR 118
(University of Colorado Academic Calendar)
Sebastian Casalaina-Martin
Mathematics 221
Office Hours
Wednesday 11 AM - 2 PM
Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics (3rd Edition) by Edward B. Saff and Arthur David Snider, Prentice Hall.

We will also follow parts of the following texts:
  • Complex analysis: an introduction to the theory of analytic functions of one complex variable, Lars V. Ahlfors, McGraw--Hill, 1979, 3d ed.
  • Functions of one complex variable I, John B. Conway, Springer--Verlag, 1978, 2d ed. 
    • (Electronic version available from the library.)
  • Real and complex analysis, Walter Rudin, McGraw--Hill, 1987, 3d ed.
  • Mathematical analysis: an introduction, Andrew Browder, Springer-Verlag, 1996.
    • (Electronic version available from the library.)
There will be homework assignments posted online.
This syllabus is a rough guide to the topics we will cover.
Homework and Quizzes 15%, Midterm I 25%, Midterm II 25%, Final 35%.
Please read the following class policies.