During Year 1 you will develop essential knowledge and skills in mathematics and statistics, and will immediately learn to apply those ideas in a modelling context. You also have the opportunity to learn a language or to choose from a wide range of modules from across the University.
In the second year, you will extend these techniques further, and will select from a range of mathematics and statistics modules to suit your interests. You will explore a variety of problems from industry in the second year modelling module, and will encounter further applications in supplementary modules
An optional placement year is available for those who wish to consolidate their mathematics in an industrial or commercial setting, and students also have the opportunity to undertake study abroad.
The penultimate year focuses on the transferable skills of teamwork and communication, developing and refining key techniques of modelling and pure and applied mathematics in preparation for the fourth year project.
The final year of study allows a choice of modules so that students can focus on the areas which are of most interest to them.
As courses are reviewed regularly the module list you choose from may vary from that shown here.
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
An introduction to the basic ideas, concepts and methods of probability models and their theoretical bases.
Statistical Inference - compulsory
A first course in statistical inference, providing coverage of key statistical theory.
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 arguments.
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.
Students can also choose from a wide variety of modules from around the University.
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.
Mathematical Models - compulsory
This module introduces more advanced and complex ideas and techniques that can effectively model real-world problems with applications in industry, medicine and education.
Quantitative Research Methods - compulsory
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 non-parametric techniques
Numerical Analysis I - compulsory
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.
Further Discrete Mathematics
This module develops and extends knowledge of discrete mathematics, particularly with reference to computing applications.
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.
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.
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.
Time Series Analysis
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.
The mathematics-based treatment of the theory and application of statistics.
Simulation and Modelling
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.
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.
Ordinary and Partial Differential Equations - compulsory
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 - compulsory
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 - compulsory
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 problem solving.
Topology - compulsory
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.
Group Project in Mathematics - compulsory
This module will provide students with the opportunity to work in teams on an extended study of a selected topic, with appropriate guidance, from any suitable area of the students’ course in Mathematics. A selection of appropriate topics will be provided.
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 calculus.
This module provides coverage of the theory and application of multiple linear and nonlinear regression models.
MMath Project - compulsory
This module will provide students with the opportunity to undertake an extended study of a selected topic of research, with appropriate guidance, from any suitable area of the student's course in Mathematics. Guidance will be provided on appropriate topics.
This course provides an introduction to the basic concepts of functional analysis. These concepts are crucial in the modern study of partial differential equations, Fourier analysis, quantum mechanics, probability, inverse problems and many other fields.
This module provides depth of knowledge in both theoretical and computational techniques for solving inverse problems by virtue of their applications to industry, geophysics and medicine.
Computation and Modelling
This module gives depth of knowledge in advanced modelling techniques and breadth of analysis by virtue of its applications. Students build computer models using MATLAB and Simulink.
Numerical Solution of Differential Equations
This course aims to introduce students to the numerical solution of both ordinary and partial differential equations using both finite difference approximations and finite element methods.
The study of models that change according to probabilistic laws over time and application of these models to problems in natural and social sciences.
Reliability and Risk Management
The module teaches and practices principles and techniques for improving the reliability of products, analysing reliability at a system and component level and assessing, reducing and managing technical risk.
Categorical Data Analysis
The emphasis in this module is to give a solid foundation to practical aspects of the statistical techniques required to make inferences about categorical data from a range of sources.
Advanced Statistical Modelling with SAS
This module introduces a broad class of linear and nonlinear statistical models and the principles of likelihood inference to a variety of commonly encountered data analysis problems in medical research.
It is possible to study for the MMath in Mathematics as a five-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 penultimate 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.
On returning to university for their final year, the experience students have gained invariably improves their academic performance. We have an excellent record of graduates gaining full-time employment with their industrial-placement-year company.
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.
You may be able to go on an optional European or international study exchange while you are at Brookes. Most exchanges take place in the second year, and are facilitated by the University.
Studying abroad provides an amazing opportunity to add value to your studies by:
- 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 degree.
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.
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