Keele University Prospectus Undergraduate | 2016 | Page 150

COMPUTING AND MATHEMATICS

Mathematics and
Computer Science
Overview

The interconnected disciplines of Mathematics
and Computer Science both involve high levels
of abstraction and conceptual sophistication, yet
contribute decisively to the solution of problems
in arenas such as business, government, industry,
science, finance, health and the arts.
This dual honours degree provides scope for you
to formulate a programme with an individual
complexion. In mathematics there is a host of
modules to choose from in pure, applied and
statistical mathematics. There is also the option
of individual project work, where computing
knowledge and skills can contribute a definite edge.
In computers, as well as the exploration of the
theoretical underpinnings of the discipline, there is
an emphasis on practical programming and software
development. By the end of the third year you will
be well placed to pursue further research in industry
or academia.
The well qualified mathematics and computer
science graduate will have gained both an
invaluable conceptual education and the potential
to follow a wide range of career paths. In particular,
there is much demand for graduates with strong
mathematical capabilities, combined with
professional computer science understanding and
associated practical skills, to develop the software
and hardware for systems of the future.

Course content

First year
In mathematics you will study two modules in
calculus and two in algebra, which together
encompass material on univariate and multivariate
differential and integral calculus, differential
equations, sets, functions and number systems,
vectors and matrices and optimisation. The ideas
are developed in a more rigorous style than is
encountered at A-level, and the importance of proof
is stressed.
In computer science you will take the four modules;
Fundamentals of Computing, Programming I,
Programming II, and Information Systems and
Interaction. In addition to covering the core concepts
of the discipline these modules include computer
programming, data structures and algorithms and the
human-computer interface. In programming there is
a strong practical element.

DU

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Second year
In mathematics you will study two core modules;
Differential Equations, and Complex Variable
and Vector Calculus. You also choose two modules
from the following:
• Linear Algebra
• Abstract Algebra
• Operational Research
• Numerical Methods
• Analysis I
• Analysis II
• Probability
• Stochastic Processes
• Mathematical Modelling
• Dynamics
In computer science you will take four modules:
Requirements, Evaluation and Professionalism;
Web Technologies; System Lifecycles and
Design and Advanced Programming Practices
or Database Systems.
Third year
In mathematics you choose four modules from
the list below, each of which covers an applied,
pure or statistical area of mathematics in some
depth. Several of the pure mathematics options
have connections with computer science.
• Logic
• Graph Theory
• Group Theory
• Codes and Cryptography
• Ring and Field Theory
• Metric Spaces and Topology
• Complex Variable II
• Partial Differential Equations
• Nonlinear Differential Equations
• Waves
• Fluid Mechanics
• Relativity
• Numerical Analysis
• Mathematical Biology
• Professional Mathematics
• Medical Statistics
• Linear Statistical Models
• Project

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