College of Liberal Arts and Sciences

# Department of Mathematics

## Course Info

### MATH 5046: Introduction to Complex Variables

Description: 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. Not open to students who have passed MATH 3146. Open for master's credit but not doctoral credit toward degree in mathematics.

Offered: Spring

Credits: 3

Sections: Fall 2010 on Storrs Campus

PSCourseID Course Sec Comp Time Room Instructor
08027 5046 001 Lecture TuTh 11:00:00 AM-12:15:00 PM MSB215 Madych, Wolodymyr R.