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.
Sections: Fall 2009 on Storrs Campus
|08027||5046||001||Lecture||TuTh 2:00-3:15||MSB307||Madych, Wolodymyr|