Keele University Prospectus Undergraduate | 2016 | Page 146
COMPUTING AND MATHEMATICS
Mathematics
Overview
Mathematics is of fundamental importance in a
modern society. It has established and rapidly
developing applications in business, economics,
management, science, technology and medicine, with
its importance increasingly being recognised in law,
politics, sport, ecology, psychology and sociology.
Mathematical ideas contribute to conceptual
understanding and debate, both in everyday life and
in research. Notwithstanding its usefulness, it is an
intrinsically attractive field of study, which gives rise
to intellectually challenging problems.
Whilst most of the course is delivered by means of
lectures and problem-solving classes, we recognise
that IT is having an impact on the teaching, learning
and practice of mathematics. We are equipped
with a computing laboratory with a range of
software used by professional mathematicians and
statisticians. These facilities are available throughout
the programme and are intended to stimulate and
motivate both insight and comprehension.
Our students have a range of mathematical
backgrounds. A deliberate effort is made to effect
a smooth transition to university-level study and
support is available for consolidating mathematical
capability. There are also diagnostic testing facilities
that are designed to assist new students with suitable
preparation for the course.
Course content
The modules in the first two years provide a broadbased foundation for more specialised studies in the
third year.
First year
The first year includes two modules on calculus,
which cover essential techniques and results with
an emphasis on explanation, in contrast with
A-level. There are also two modules on algebra,
the first of which introduces the need for rigour in
mathematics and develops the ability to construct
logical arguments, and the second of which covers
linear algebra and linear programming. The calculus
modules are supported by a computer based
component that provides online tutorials and further
practice on essential techniques. In addition, there
are two modules targeted at enhancing mathematical
reasoning and problem-solving skills. If you are a dual
honours student you will take the two calculus and
two algebra modules.
Second year
The modules that follow in the second year build
on first year modules and cover key ideas in pure
and applicable mathematics. You are able to choose
optional modules, depending on your particular
interests. If you are single honours the programme is
as follows
In the first semester, the modules are:
• Differential Equations
• Analysis I
• Probability
Plus one module from:
• Operational Research
• Numerical Methods
• Linear Algebra
The second semester modules are:
• Complex Variable I and Vector Calculus
• Abstract Algebra
• Mathematical Modelling
Plus one module from:
• Stochastic Processes
• Dynamics
• Analysis II
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