Mathematics 6350

Functions of a Complex Variable 1

Course Description
Focuses on complex numbers and the complex plane. Includes Cauchy--Riemann equations, complex integration, Cauchy integral theory, infinite series and products, and residue theory. Prereq., MATH 4001.
Schedule MWF 2 PM - 3 PM,  MUEN E432
(University of Colorado Academic Calendar)
Sebastian Casalaina-Martin
Mathematics 221
Office Hours
Tuesday 9 AM - 12 PM
We will 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.
There will be homework assignments posted online.
This syllabus is a rough guide to the topics we will cover.
Grades will be based on homework, exams and other assignments.
Please read the following class policies.