MATH 372 - Complex Analysis (Put on Reserve 9/16/16.)

Description:
Arithmetic of complex numbers and functions of a complex variable, linear fractional transformations, Cauchy-Riemann equations, contour integration, Cauchy’s theorem, residue theorem, power series and applications. (Put on Reserve 9/16/16. Last taught in 2012. Will go inactive 8/24/19.)

Prerequisites:
Prerequisites: MATH 260 and MATH 273 with grades of C or higher.

Credits: (5)

Learner Outcomes:
Upon successful completion of this course, the student will be able to:

Differentiate the elementary functions, compute line integrals, compute real integrals using residues and Cauchy’s Theorem, compute the Taylor series for a holomorphic function and the radius of convergence for its Taylor series.
Determine where a region is mapped to under a linear fractional transformation. Conversely, students will be able to define a linear fractional transformation that maps one region to another region.
Prove a given function is holomorphic using the Cauchy-Riemann equations.
Give an epsilon-delta continuity proof.

Learner Outcomes Approval Date:
6/15/06

Anticipated Course Offering Terms and Locations: