Mathematics MMath


Fact file - 2019 entry

MMath Hons Mathematics
UCAS code
4 years full-time
A level offer
Required subjects
At least A in A level mathematics. Required grades depend on whether A/AS level further mathematics is offered.
IB score
36 (including 6 in maths at Higher Level)
Course location
University Park Campus 
Course places
250 across all mathematics courses
We are still currently taking applications for 2018 entry


The MMath will provide you with broad and deep mathematical knowledge, alongside analytical and problem-solving skills that are highly valued by employers.
Read full overview

The three-year BSc and four-year MMath courses have their first two years in common. The first year includes core modules that provide an essential foundation of mathematical skills, as well as more specialised modules in pure mathematics, applied mathematics and probability and statistics.

As you progress in the course, more specialisation is possible. Both the BSc and MMath allow you to choose from a range of mathematical topics, both vocational and academic. The MMath gives you an insight into problems of current research interest and a deeper mathematical knowledge. On both courses it is possible to take some modules from other schools in the university and to study for a semester abroad at one of our overseas partner institutions.

MMath Mathematics with Statistics

Students who succeed in a sufficient number of statistics modules may opt for the MMath Mathematics with Statistics degree, which is recognised by the Royal Statistical Society (RSS).

Royal Statistical Society (RSS)

Specific pathways within this course are accredited by the Royal Statistical Society (RSS) as being of the appropriate breadth and depth to provide a foundation for a career as a professional statistician. Successful completion of these pathways (achieving second class honours or better) automatically qualifies you for the RSS Graduate Statistician (GradStat) award. This award is a stepping stone to full professional membership of the RSS and the Chartered Statistician (CStat) award.

Year one 

You will study core mathematics under the three headings of Analytical and Computational Foundations, Calculus, and Linear Mathematics; this includes an introduction to the computer package MATLAB. You also begin studying the three main subject areas within mathematics, namely pure mathematics, applied mathematics, and probability and statistics.

You will benefit from our Peer-Assisted Study Support (PASS) scheme, designed specifically to help you settle in. PASS Leaders, who are current maths students, will provide you with a friendly face at the start of your first year and then academic support during that year, through regular PASS sessions.

Year two

Choosing from a range of optional modules, you will typically continue to study two of the three main mathematical subject areas. You will also have the option to choose some modules from outside mathematics if you wish.

Year three

You will choose from a wide range of advanced optional modules, one of which will involve project work. You will specialise in one of three main subject areas, allowing you to develop the foundations for further study in that area in the fourth year. There is also an option to choose some modules from outside mathematics.

Year four 

You will choose from a wide range of advanced optional modules, and must also write a dissertation, which accounts for one third of your fourth year. You must specialise to some extent in one of the three main subject areas, and there is also the option to choose some modules from outside mathematics.


Entry requirements

A levels: A*AA/AAA/A*AB at A level including A level mathematics at grade A*/A (or equivalent). Applicants may be asked for one of: A* in A level mathematics, A in A level further mathematics or A in AS level further mathematics. STEP/MAT/TMUA is not required but may be taken into consideration when offered.

A levels in general studies, critical thinking and citizenship studies are not accepted.

IB: 36 overall, including 6 in mathematics at Higher Level.

English language requirements 

IELTS 6.5 (no less than 6.0 in any element)

If you require additional support to take your language skills to the required level, you may be able to attend a presessional course at the Centre for English Language Education, which is accredited by the British Council for the teaching of English in the UK.

Students who successfully complete the presessional course to the required level can progress onto their chosen degree course without retaking IELTS or equivalent.

Alternative qualifications 

For details see our alternative qualifications page

Flexible admissions policy

In recognition of our applicants’ varied experience and educational pathways, the University of Nottingham employs a flexible admissions policy. We may make some applicants an offer lower than advertised, depending on their personal and educational circumstances. Please see the University’s admissions policies and procedures for more information.

Foundation courses

We also accept students who have achieved appropriate grades in the Engineering and Physical Sciences Foundation Certificate.



The following is a sample of the typical modules that we offer as at the date of publication but is not intended to be construed and/or relied upon as a definitive list of the modules that will be available in any given year. Due to the passage of time between commencement of the course and subsequent years of the course, modules may change due to developments in the curriculum and the module information in this prospectus is provided for indicative purposes only.

Typical year one modules

Analytical and Computational Foundations

This module will introduce you to three core concepts and techniques that underpin all maths modules in your degree. These are mathematical reasoning (the language of maths and providing concrete proof of mathematical theorems), an introduction to the computer package MATLAB (its use and application), and basic analysis methods.


In this module, you will begin by practising the basic concepts and methods of calculus including limits, functions, and continuity. In the second semester you will move onto more advanced usage of calculus. Topics will be based around the calculus of functions of several variables and include partial derivatives, chain rules, the vector operator grad, Lagrange multipliers and multiple integrals.

Linear Mathematics

This module introduces you to the methods and practices of linear mathematics that you will need in subsequent modules on your course, such as complex numbers, vector algebra and matrix algebra. You will then expand your knowledge to include vector spaces, linear transformations and inner product spaces.

Foundations of Pure Mathematics

This module will provide a foundation for all further pure mathematics studies on your course. You will learn that pure mathematics is a language based on the notion of sets, functions and relations, and how to read and write this language. There will also be discussions with examples on the application and use of pure mathematics.

Applied Mathematics

In this module, you will receive an introduction to classical mechanics and modelling in applied mathematics. This will provide you with a foundation in applied mathematics and you will begin to apply your knowledge to real-world problems.


This module provides an introduction to probability by developing a framework for the logic of uncertainty. Random variables and the topics surrounding them will also be introduced. 


In this module you will learn about a range of statistical ideas and skills, along with concepts and techniques for modelling and practical data analysis, and how to write reports based on these topics which will help you in further studies.


Typical year two modules

Complex Functions

In this module you will learn about the theory and applications of functions of a complex variable using a method and applications approach. You will develop understanding of the theory of complex functions and evaluate certain real integrals using your new skills.

Introduction to Mathematical Physics

This year-long module explores the classical and quantum mechanical description of motion. You will investigate the laws of classical mechanics and apply different forms to problems such as planetary and rigid body motion and vibrating systems. The knowledge gained in this module will benefit you for more advanced studies of mathematical physics in years three and four.

Mathematical Analysis

In this module you will build on the foundation of knowledge gained from your core year one modules in Computational and Analytical Mathematics and Calculus. You will learn to follow a rigorous approach needed to produce concrete proof of your workings.

Modelling with Differential Equations

In this module you will further explore mathematical modelling based on your knowledge from your core year one modules. You will learn techniques for studying linear and nonlinear systems of ordinary differential equations, using linearisation and phase planes. Models based on partial differential equations and how to analyse them will also be explored along with continuum models to analyse the flow of fluids.

Statistical Models and Methods

The first part of this module provides an introduction to statistical concepts and methods and the second part introduces a wide range of techniques used in a variety of quantitative subjects. The key concepts of inference including estimation and hypothesis testing will be described as well as practical data analysis and assessment of model adequacy. 

Professional Skills for Mathematicians

This module will equip you with the skills needed for graduate employment. You will work on two group projects based on open-ended mathematical topics agreed by your group. You will also work independently to improve your communication skills and learn how to summarise technical mathematical data for a general audience. You will be provided with some commercial and business awareness and explore how to use your mathematical sciences degree for your future career.


Typical year three modules

Mathematics Project

In this module you will choose a mathematical topic from a provided list and conduct a semester-long self-directed study, producing a written final report. There will be support from a supervisor to assist you in regular meetings throughout the semester.

Advanced Quantum Theory

In this module you will apply the general theory you learnt in Introduction to Mathematical Physics to more general problems. New topics will be introduced such as the quantum theory of the hydrogen atom and aspects of angular momentum such as spin.

Game Theory

This module allows you to explore the connection between numbers and games and how games can be analysed. You will learn about the algorithms of gaming, stemming from many areas of mathematics and computing. You will be able to use the mathematical knowledge you have gained so far on the course to analyse various situations in a logical manner practising strategic decision-making.

Mathematical Medicine and Biology

In this module you will learn that mathematics can be applied to a wide range of applications in medicine and biology. Prior knowledge of biology is not essential as the foundation of this module stems from the Modelling with Differential Equations module in year two. There is considerable emphasis on model building and development relating to topics such as the spread of disease, the growth of tumours and biological oscillations.

Applied Statistical Modelling

In this module you will build on your theoretical knowledge of statistical inference by a practical implementation of the generalised linear model. You will move on to enhance your understanding of statistical methodology including the analysis of discrete and survival data. You will also be trained in the use of a high-level statistical computer program.

Number Fields and Galois Theory

This module will help you develop your knowledge of the basic theory of fields, their extensions and their automorphism groups with applications to classical problems. Particular emphasis is laid on finite fields and number fields as you prove the basic propositions concerning Galois Theory. You will build a theoretical foundation to the construction of splitting fields and then move onto the factorization of polynomials.

Scientific Computation and Numerical Analysis

In this module you will learn how to use numerical techniques for determining the approximate solution of ordinary and partial differential equations where a solution cannot be found through analytical methods alone. You will also cover topics in numerical linear algebra, discovering how to solve very large systems of equations and find their eigenvalues and eigenvectors using a computer.


Typical year four modules

Mathematics Dissertation

In this module you will choose a research topic from a provided list and conduct self-directed study, producing an in-depth exploration of your subject. There will be support from a supervisor to assist you and provide feedback in your meetings throughout the year.

Algebraic Geometry

In this module you will explore geometrical structures using the language of algebra, demonstrating the integrity of mathematics. You will discuss affine and projective algebraic varieties over algebraically closed fields. You will cover topics such as co-ordinate rings, function fields and algebraic curves and elliptic curves.

Topics in Biomedical Statistics

This module illustrates the applications of advanced techniques of mathematical modelling using ordinary and partial differential equations. A variety of medical and biological topics are treated bringing students close to active fields of mathematical research, such as neuroscience and biomechanics.

Complex Analysis

In this module you will learn that complex analysis is one of the central areas of pure mathematics. You will examine differential functions of a complex variable through a number of theorems. Topics include: the Riemann sphere, Moebius transformations and their properties, the topological properties of analytic functions, the theorem of Picard and its connection with Moebius and the elements of the theory of complex dynamics.

Time Series and Forecasting

This module will provide a general introduction to the analysis of data that arise sequentially in time. You will discuss several commonly-occurring models, including methods for model identification for real-time series data. You will develop techniques for estimating the parameters of a model, assessing its fit and forecasting future values. You will gain experience of using a statistical package and interpreting its output.

Introduction to Quantum Information Science

In this module you will be introduced to the operational framework of quantum theory including the fundamental concepts of states, measurements, quantum channels and instruments. You will learn to apply mathematical formalism to calculate probability distributions of general measurements, entanglement, partial and conditional states.



From accountant to engineer, analyst to investment banker, studying mathematics opens the door to a wide range of careers. Some graduates make specific use of mathematics while others use the more general skills they have gained, such as analysis and problem solving, high-level numeracy and a capacity to learn independently.

Our graduates work in finance, commerce, government, mathematical and statistical modelling and education. They pursue a broad spectrum of careers which include:

  • commerce
  • engineering
  • financial services
  • government
  • industry
  • information technology
  • science

Postgraduate research

Rather than directly entering the employment market upon graduating, you might decide to continue your studies at higher-degree level. Postgraduate areas of study include:

  • business studies
  • computer science
  • education
  • engineering
  • finance
  • mathematics
  • statistics

Each year some of our best students choose to stay at Nottingham and join our lively group of postgraduate research students in the School of Mathematical Sciences.

The research groups within the school each offer a large number of diverse and interesting projects, across the specialisations of pure mathematics, applied mathematics and probability and statistics.

Professional recognition


Students on this course have the option to take an MMath Mathematics with Statistics. This named degree course is recognised by the  Royal Statistical Society.

Average starting salary and career progression

In 2016, 93.3% of undergraduates from the school who were available for employment had secured work or further study within six months of graduation. The average starting salary was £25,619 with the highest being £53,000.* 

* Known destinations of full-time home undergraduates who were available for work 2015/16. Salaries are calculated based on the median of those in full-time paid employment within the UK.

The School of Mathematical Sciences ranked third in the UK for boosting graduate salaries, with graduates earning an average of £5,935 more than expected five years after graduation (The Economist British University rankings, 2017).

Careers support and advice

Studying for a degree at the University of Nottingham will provide you with the type of skills and experiences that will prove invaluable in any career, whichever direction you decide to take. Throughout your time with us, our Careers and Employability Service can work with you to improve your employability skills even further; assisting with job or course applications, searching for appropriate work experience placements and hosting events to bring you closer to a wide range of prospective employers.

Have a look at our careers page for an overview of all the employability support and opportunities that we provide to current students.

The University of Nottingham is consistently named as one of the most targeted universities by Britain’s leading graduate employers
(Ranked in the top ten in The Graduate Market in 2013-2017, High Fliers Research).


Fees and funding

Scholarships and bursaries

The University of Nottingham offers a wide range of bursaries and scholarships. These funds can provide you with an additional source of non-repayable financial help. For up to date information regarding tuition fees, visit our fees and finance pages.

Home students*

Over one third of our UK students receive our means-tested core bursary, worth up to £2,000 a year. Full details can be found on our financial support pages.

* A 'home' student is one who meets certain UK residence criteria. These are the same criteria as apply to eligibility for home funding from Student Finance.

International/EU students

Our International Baccalaureate Diploma Excellence Scholarship is available for select students paying overseas fees who achieve 38 points or above in the International Baccalaureate Diploma. We also offer a range of High Achiever Prizes for students from selected countries, schools and colleges to help with the cost of tuition fees. Find out more about scholarships, fees and finance for international students.

We welcome students from all over the world, providing dedicated guidance and advice  for EU and international applicants.

International Orientation Scholarship

The International Orientation Scholarship is awarded to the best international (full-time, non EU) applicants to the school's courses. The scholarship is awarded in subsequent years to students who perform well academically (at the level of a 2:1 Hons degree or better at the first attempt). 

The scholarship value is £2,000 for students on the MMath Mathematics degree course. Please note that the scholarship will be paid once for each year of study, so if you repeat a year for any reason, the scholarship will not be paid for that repeated year.

The scholarship will be paid in December each year, provided you have registered with the university and the school, are on a relevant course on the 1 December census and have paid the first instalment of your fee.


Key Information Sets (KIS)

KIS is an initiative that the government has introduced to allow you to compare different courses and universities.

How to use the data

This online prospectus has been drafted in advance of the academic year to which it applies. Every effort has been made to ensure that the information is accurate at the time of publishing, but changes (for example to course content) are likely to occur given the interval between publishing and commencement of the course. It is therefore very important to check this website for any updates before you apply for the course where there has been an interval between you reading this website and applying.


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