During Year 1 you will develop essential knowledge and skills in pure mathematics, mathematical methods and mathematical modelling (and statistics in the single honours course).
In Year 2 and the final year on the single honours course, you will spend most of your time on mathematics but you will also have the opportunity to study some statistics. On the combined honours course, modules in mathematics are complemented by those in your other field of study. Throughout the course we will encourage you to acquire and develop your computing abilities through the extensive use of up-to-date mathematical (and, for single honours, statistical) software.
As our courses are reviewed regularly, the module list you choose from may vary from that shown below. Some modules will be compulsory.
You choose from a list of modules including:
Algebra and Calculus (double) - compulsory. This module provides
an introduction to abstract algebra, algebraic systems and some
important calculus topics with emphasis on technique. It provides a
foundation for the study of linear algebra and mathematical analysis.
Mathematical Skills and Modelling (double) - compulsory. An
introduction to the use of mathematics and mathematical software tools
in the solution of real world problems.
Probability Theory - compulsory for single honours. An
introduction to the basic ideas, concepts and methods of probability
models and their theoretical bases.
Statistical Inference - compulsory for single honours, single
honours only. A first course in statistical inference, providing
coverage of key statistical theory.
Introductory Mathematics. This module provides revision coverage
of key topics in core A-level Mathematics, with particular emphasis on
problem solving techniques and the correct presentation of mathematical
Discrete Mathematics. This module introduces the key mathematical
concepts that underpin computer science, to equip students with
knowledge of the language and structures of discrete mathematics and
its relevance to a wide range of computing applications.
Basic Survey Methods. This module provides an introduction to the
basic methods of design and analysis of surveys for engineering,
business, marketing and other areas of application, with an emphasis on
evaluating and communicating the results of a survey.
Word Processing and Spreadsheet IT Skills. An introduction to
information technology, word-processing and spreadsheets. This module
concentrates on the common word-processing and numerical data
manipulation skills required at undergraduate level.
Basic Data Analysis - combined honours only. An introduction to
statistics with the emphasis on fundamental concepts and basic
techniques of statistical data analysis.
Students can also choose from a wide variety of modules from around the
Linear Algebra and Analysis - compulsory. This module introduces
some fundamental concepts of linear algebra and analysis, core topics
in the study of Mathematics at degree level. The module forms a basis
for further study in these areas.
Numerical Analysis I - compulsory for single honours, optional
for combined honours. The module aims to be an introduction to concepts
of numerical analysis and numerical problem solving using software
packages. The module is a prerequisite for later modules which involve
more specialised aspects of the subject.
Quantitative Research Methods - compulsory for single honours,
single honours only. This module introduces analytical methods related
to both survey data and experimental designs, leading to independent or
repeated samples data. The data is analysed using parametric and
Further Discrete Mathematics. This module develops and extends
knowledge of discrete mathematics, particularly with reference to
Mathematical Models. This module introduces more advanced and
complex ideas and techniques that can effectively model real-world
problems with applications in industry, medicine and education.
Applied Abstract Algebra. This module covers mathematical
structures and their applications, and will also give an introduction
to number theory and other areas of algebra. These will be developed
with particular reference to applications such as crystallography,
coding and cryptography.
Graph Theory. A first course in graph theory with emphasis on its
applications. The module introduces the key concepts of graph theory,
together with case studies to illustrate its wide applicability.
Complex Analysis. A lecture based course providing an
introduction to the theory of functions of a complex variable. This
module assumes some previous knowledge of real analysis.
Mathematics for Decision Making. This module introduces students
to the mathematical techniques in business decision making, and the
application of mathematical tools to solving business problems.
Mathematical Statistics - single honours only. The
mathematics-based treatment of the theory and application of
Simulation and Modelling - single honours only. This module
builds on students' experience of modelling and explores the
application of mathematics, statistics and sophisticated computer tools
to the solution of problems using simulation and modelling techniques.
Time Series Analysis - single honours only. Analysis of
univariate time series: description, modelling and forecasting. This
module is aimed at the students who wish to gain a working knowledge of
time series and forecasting methods as applied in economics,
engineering and the natural and social sciences.
OPTIONAL PLACEMENT YEAR
The aim of this year is to provide a safe structured one year placement
opportunity for students so that they can apply and develop the skills
they have learnt as part of their university course.
Mathematics Project - compulsory for single honours. An extended
study of a topic selected, with appropriate guidance, from any suitable
area of the student's course in Mathematics. Particular examples of
possible topics will be provided.
Mathematics Interdisciplinary Project - combined honours only. An
extended study of a topic selected, with appropriate guidance, from any
suitable area of the student's combined course in Mathematics and
another subject. Particular examples of possible topics will be
provided. Students taking this module must also register for the
interdisciplinary module in their other subject.
Ordinary and Partial Differential Equations. This is a lecture
based module studying ordinary differential equations and analytical
methods used in the solution of partial differential equations.
Honours Topics in Mathematics. This module provides a selection
of topics offering opportunities for honours level study in
mathematics, including current research, and for the further
development of independent learning, research and presentation skills.
Numerical Analysis II. A single honours course covering the
concepts and theory of numerical analysis, extending experience in the
application of numerical analysis to the solution of problems. The
module aims to study the theory and practice of numerical analysis for
Topology. The aim of this module is to introduce the basic
notions of general topology with emphasis on metric spaces. This module
extends the students' understanding of the fundamental structure of the
central mathematical objects that are topological spaces.
Geometry. A single honours module which aims to give a broad
introduction to geometry in two, three and higher dimensions. The
module builds on students’ previous knowledge of vectors and matrix
algebra at advanced level and requires some prior knowledge of
Regression Models - single honours only. This module provides
coverage of the theory and application of multiple linear and nonlinear
Medical Statistics - single honours only. This module provides
coverage of statistical methods applied in medical research and health
studies. The emphasis is on practical aspects of the design and
statistical analysis of medical research and the interpretation and
presentation of results.
It is possible to study for the BSc in Mathematics as a four-year sandwich course, the third year being spent in supervised work experience.
Our work placement programme has been commended by professional bodies as a model of excellence.
A placement year enables you to work in industry or commerce for one year between the second and final years of your course. Students taking this option recognise the benefits of obtaining professional experience, consolidating their understanding of mathematics, and having the opportunity to apply their knowledge in a professional setting. It is possible to study for the BSc in Mathematical Sciences as a four-year sandwich course, the third year being spent in supervised work experience.
Our work placement programme has been commended by professional bodies as a model of excellence.
A placement year enables you to work in industry or commerce for one year between the second and final years of your course. Students taking this option recognise the benefits of obtaining professional experience, consolidating their understanding of the mathematical sciences, and having the opportunity to apply their knowledge in a professional setting.
The department provides assistance with finding a suitable placement, although students may also search for a placement independently.
Please note that you would be an employee of the company with which you undertake your placement, and may incur additional transport and accommodation costs if the company is not a local one. In addition, you may be required to complete a DBS check for some placement providers, and the cost of this would be borne by the student.
Great opportunities to study or work abroad
You may be able to go on a European or international study exchange
while you are at Brookes. Most exchanges take place in the second year.
Studying abroad provides an amazing opportunity to add value to your
- increasing your employability within an international market
- boosting your language skills
- building your confidence in adapting to new situations
- improving your knowledge of different cultures.
- While on exchange you will gain credits which count towards your
We have more than 100 partner universities around the world. Funding is
available through the Erasmus scheme, and also via some international
programmes such as the Santander Student Awards.
There is also a European work placement programme which gives you the
chance to work abroad as part of your studies.
For more information, visit our pages on studying
abroad and exchanges.
Free language courses for students - the Open Module
Free language courses are available to full-time undergraduate and postgraduate students on many of our courses, and can be taken as a credit on some courses.
Please note that the free language courses are not available if you are:
- studying at a Brookes partner college
- studying on any of our teacher education courses or postgraduate education courses.
On rare occasions we may need to make changes to our course programmes after they have been published
on the website. For more information, please visit our
Changes to programmes