modules

The central object of study in analysis is the limit and related notions of convergence, continuity, differentiation, and integration. 

In this module, we carefully and rigorously develop an understanding of the analysis of functions of a complex variable. You will learn how to rigorously handle differentiation, integration, analyticity, contour integration, power series, and topology of the complex plane. Quite surprisingly, complex analysis is in many ways simpler than real analysis and has many practical applications.

The material in this module provides foundations for the study of Analytic Number Theory (MTHM041 ) and MTHM041 (Analytic Number Theory), etc. in pure mathematics as well as being the basis for many techniques for solving practical problems in economics, science, and engineering. Hence it is highly recommended to all mathematics students.

Pre-requisite modules: MTH2008 (or equivalent)

_{Please note that all modules are subject to change, please get in touch if you have any questions about this module.}