MATH3401/3901: Complex Analysis/Advanced Complex Analysis

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COURSE CONTENT:

This subject is an introduction to the theory of functions of a single complex variable. In particular it will explore the consequences of differentiability on an open connected set, and demonstrate some of the applications. Specific topics include: Complex Numbers, Elementary Functions, Mapping by Elementary Functions, Analytic Functions, Integration, Conformal Mapping, Boundary Value Problems, Poisson Integral Formula, Power Series and Integration using Residues.

WHO IS INTERESTED:

This course is of fundamental importance to anyone who will work with quantitative methods. Anyone working in mathematics, engineering, economics, finance, or pure and applied sciences will benefit from this course.

WHAT DO I NEED:

Students are assumed to know the definition and basic properties of complex numbers and to be able to perform simple algebraic manipulations with them. Students are assumed to have undertaken introductory courses in Calculus and Multivariate Calculus (such as MATH1051/MATH1071, MATH1052/MATH1072 and MATH2001/MATH2901/MATH2000) and in Real Analysis (such as MATH2400/MATH2401).

WHEN IS IT AVAILABLE:

First semester, every year.

MATH3401/3901 Web Page.