MAT-20004 - Module Specification
School of Computer Science and Mathematics
Faculty of Natural Sciences

Programme/Approved Electives for 2024/25

Available as a Free Standing Elective

Co-requisites

None

Prerequisites

None

Barred Combinations

None

Description for 2024/25

This module contains a first course on vector calculus and a first course in functions of a complex variable. The topics covered include complex functions, differentiation and integration, Cauchy's Theorems, Taylor and Laurent Series, singularities, the Residue Theorem, differentiation of vectors, differential operators, line, volume and surface integrals, Green's Theorem, the Divergence Theorem and Stokes' Theorem.
Complex variable leads to elegant results in pure mathematics and both complex variable and vector calculus provide a framework for solving physical and geometrical problems.

The aim of this module is to introduce the core subjects of vector calculus and complex variable and to provide some of their many and varied applications.

Intended Learning Outcomes

analyse a problem involving vector functions, then select and apply appropriate theoretical material and/or computational methods to solve the problem: 1,3
2,3
1,2,3
combine theoretical results to prove theorems involving vector and complex functions: 3
analyse a problem involving complex functions, then select and apply appropriate theoretical material and/or computational methods to solve the problem: state and/or prove standard theorems involving vector and complex functions:

Study hours

Lectures: 36 hours
Tutorials: 12 hours
Preparation of coursework assignments: 12 hours
Independent study: 88 hours
Unseen examination: 2 hours

School Rules

None

Description of Module Assessment