MATH 282: Introduction to complex variables

Note: If this course is being taught this semester, more information can be found at the course home page.

Cross Listed

ME 202

Prerequisites

MTH164 or MTH174 (MTH200 or MTH235 recommended unless you have taken MTH174).

This course is a prerequisite or co-requisite for

(none)

Description

This course develops the basic material of complex analysis. It finds applications in electrical engineering, optics, physics, physical chemistry as well as many parts of mathematics. The first year graduate course (MTH467 theory of analytic functions) extends this course and describes one of the most beautiful and complete theories in mathematics.

Topics covered

Complex differentiation and integration, analytic functions, singularities, residues, poles, series expansions, conformal mapping, with some applications. NOT RELATED TO MTH281 IN ANY WAY.