Real and Complex Variable Theory

School of Mathematics

College of Engineering and Physical Sciences


Code 22497

Level of study Second Year

Credit value 20

Semester Both. However, it may be possible, on a case by case basis,for a student to study only one worth of material.

Pre-requisite modules 23601,23602,22481

Module description

This module follows on from the second half of material in prerequisites Foundation and Abstraction 1 and 2 and gives a rigorous treatment of limits, continuity and differentiability for real functions. The material formalises and justifies many of the basic theorems and techniques of earlier modules in calculus. The module then extends to complex-valued functions, defined on regions of the complex plane, all the ideas and techniques of the integral and differential calculus which have been studied previously.

Teaching and learning methods