Summary: Introduction to Complex Variables: Math 165B
Call number 14790
Spring 2003, MWF 3:104:00 in Olmsted Hall 1133
Professor: Michael Anshelevich, 250 Surge Building, firstname.lastname@example.org.
Office hours: W 22:50, F 45. The office hours for my other class are M 45. You are
welcome to come by then, but the students from the other class have priority.
Class homepage: http://www.math.ucr.edu/~manshel/m165B/m165B.html. I will use
this page to post homework assignments and last-minute announcements.
TA: Chanwoo Pae, discussion section R 8:109:00.
Text: James Ward Brown, Rule V. Churchill, "Complex Variables and Applications," 6th
edition, McGraw-Hill, 1996.
Prerequisites: Math 165A or equivalent. That is, the students should be familiar with the
notion of complex numbers, elementary functions of a complex variable, basics of analytic
functions, and the Cauchy integral formula. In calculus, students should have seen some
theory of infinite series.
· Infinite series: Taylor and Laurent series, manipulations of power series.
· Residues and poles.
· Applications of residues to the calculation of (real) integrals.
· Geometric properties of mappings by elementary complex functions.