Introduction to Complex Variables (Math 3146) Spring 2018
General Information
Instructor: Vyron Vellis (vyron.vellis "AT" uconn "DOT" edu), MONT 306
Lecture:
Section 001: MWF 10:10 - 11:00 in Monteith Hall 421
Section 002: MWF 12:20 - 13:10 in Laurel Hall 108
Office Hours: Wednesday 2:30 PM - 3:30 PM, Thursday 10 AM -11 AM and Thursday 2:30 PM - 3:30 PM
Topics: Complex plane, Riemann sphere, polar coordinates and Euler’s formula, complex differentiable functions and Cauchy-Riemann equations, harmonic conjugates, conformal maps. Elementary functions: exp, sin, cos, log, Log, powers. Integration along simple curves, simply connected domains, Cauchy-Goursat theorem, Cauchy integral formula. Power series and the disk of convergence, Taylor and Laurent series, classification of singularities. Cauchy’s residue theorem and its use in evaluating real-valued integrals. Conformal mappings.
Prerequisite: MATH 2110 and 2410, or 2144 or 2420. Not open for credit to students who have passed MATH 5046.
Syllabus: Syllabus
Textbook: Complex variables and Applications , J. W. Brown and R. V. Churchill. ISBN-13: 978-0073383170