MMath Master of Mathematics (with a Year Abroad)

Full Time
Degree of Master of Mathematics

A-Level typical
AAB (2020/1 entry) See All Requirements
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The School has a strong international reputation for its research and students are taught by leading experts in a broad range of topics in Mathematics.

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Find out what it’s like to be a part of the School of Mathematics at UEA.

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Our mathematicians have shown how crucial oceans are for sustaining life on distant planets, bringing us one step closer to finding somewhere aliens could call home.

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Our four-year integrated Masters course is ideal if you want to take your studies to the next level and prepare to work in academia or research. Going into greater depth than our three-year BSc programme, it’s a flexible course that allows you to specialise in either pure or applied mathematics, or a combination of the two.

On our Year Abroad programme you’ll have the opportunity to spend a year broadening your mathematical knowledge and experiencing a different lifestyle and culture by studyingat one of our partner universities across North America and Australasia. You’ll then return to UEA to undertake a substantial final year research project.

At UEA you’ll benefit from internationally recognised, research-led teaching and a high academic staff to student ratio, so you’ll graduate with a deep understanding of mathematics – and fantastic career prospects.


Our prestigious four-year Master of Mathematics degree programme will allow you to delve deeper and really develop your interests in pure and applied mathematics.

You’ll spend your third year studying advanced mathematics modules at one of our partner universities overseas. It’s a fantastic experience personally, socially and culturally, and it will also give you the chance to study in a department where different aspects of mathematics are taught. Plus it’s a great way to build contacts and show future employers your resilience and adaptability.

One of the key advantages of studying with us is that our flexible course format will enable you to decide whether you want to focus on pure mathematics, applied mathematics, or a combination of the two. And – as well as engaging in the study of essential mathematical theory and technique – you’ll have the opportunity to carry out a substantial research project in your final year. The project is designed to not only allow you to experience the challenge of independent study and discovery, but to also develop your report writing and oral presentation skills, which will be essential to many future careers.

Complete your studies with distinction you may want to join our active group of postgraduate students, as our Masters programme is also excellent preparation for a career in research – either in industry or within a university. And research is just one of the many challenging career paths open to our Master of Mathematics students.

Course Structure

The first two years of our Masters course run in parallel with our three-year BSc programme, with more specialised content being covered in your third and fourth years. In these final two years you will learn advanced principles through a huge range of optional subjects, as well as undertaking an independent project.

Year 1

The first year will develop your skills in calculus and other topics you may have covered at A-level, such as mechanics and probability. Modules on computation, mathematical skills, and how to present mathematical arguments will encourage you to develop ways of tackling unfamiliar problems. And modules on algebra and analysis will introduce important new concepts and ideas, which you will use in following years.

Year 2

As you progress into your second year, you will continue to learn essential algebraic principles through compulsory modules while also taking a selection of optional modules to suit your personal interests.

The optional modules on offer change each year but in previous years you could have chosen to study the theory of special relativity, take a module focusing on topology, or see how the mathematical theory you’ve already studied can be applied to meteorology.

During this year you’ll also discuss and plan where you would like to study in your third year with our overseas study coordinator.

Year 3

After developing a broad mathematical knowledge during your first two years, you will spend your third year studying at one of our university exchange partners in another country.

We have particularly strong links with institutions in North America and Australia. In recent years students have spent their year abroad in Sydney, Melbourne, Adelaide, Canberra, San Francisco, Arizona and Colorado, but other locations are also available. We will take into account your field of interest and placement preferences, and do our best to place you at the university of your choice.

Year 4

You will undertake a substantial individual project during your final year, working under the close supervision of a lecturer whose expertise matches your chosen subject. Each of our lecturers will propose project titles covering a wide range of current mathematical research, but some of our students choose to devise their own topics in conjunction with one of our lecturers.

Recent topics have ranged from “The Mobius function of Finite Groups” to “The Aerodynamics of Golf Balls” (a topic suggested by the student). In order to be assessed, you’ll submit a written report on the project, and you’ll give a short oral presentation on your findings to your lecturers and fellow Masters students.

Besides your individual project, your studies will focus on Master’s-level modules that explore topics such as lie algebra, fluid structure interaction and mathematical biology. As with years two and three, the optional modules offered in your final year usually change every year.

Teaching and Learning

You will be taught by leading mathematicians in their fields. As well as teaching, our academics are actively involved in research collaborations with colleagues throughout the world, examples from which will be used to illustrate lectures and workshops. In fact, over 87% of our mathematical sciences research outputs were judged as internationally excellent or world-leading (REF 2014), so you can be sure you’ll be learning in the most up-to-date of environments.

New material will usually be delivered through lectures, which are complemented by online notes and workshops, where you’ll focus on working through examples, either individually or in small groups, under the guidance of lecturers and mathematical teaching assistants.

In your first year you’ll have around 16 or 17 hours of timetabled classes per week, comprised of approximately eleven hours of lectures, five or six hours of workshops or computer lab classes, and one tutorial.

In tutorial groups, you’ll work with your academic advisor and the same six or seven students each week. It’s great way to get to know your fellow students and your academic advisor, who will be there to guide you throughout your degree.

Contact hours are similar in your second year, but with a greater emphasis on workshops, because the best way to truly understand complex mathematical theories is to work through examples with the guidance and support of your lecturers.

In your final year your formal contact hours will be slightly reduced as you will have become more independent, but there will be increased emphasis on using the office hours of your lecturers for individual feedback and guidance.

Individual Study

Your final year project will of course best exemplify your independent study but, to succeed at university-level mathematics, you’ll need to spend at least as much time on individual study as you spend in classes and workshops throughout your four years. Working through your lecture notes and trying the exercises set will be vital to really understanding the mathematics.

We offer a wide range of feedback to our students. Each lecturer has at least two office hours available each week, giving you the chance to discuss the material in more detail or to get face-to-face feedback on exercises you’ve attempted.

Prior to undertaking formal coursework (which will contribute to your module mark), you’ll submit answers to questions based on similar material for comments from the lecturer. The feedback you receive will then help with your coursework.


We employ a variety of assessment methods; the method we use is determined by the module in question. They range from 100% coursework to 100% examination, with most Mathematics modules combining 80% examination and 20% coursework.

The coursework component will be made up of problems set from an example sheet, which will be handed in, marked and returned, together with the solutions. For some modules there are also programming assignments and/or class tests.

Study abroad or Placement Year

Integral to this degree programme, you’ll spend your third year studying Mathematics abroad, usually at a university in Australia or North America.

For further details, visit our Study Abroad section of our website.

After the course

Study with us and you’ll graduate with a deep understanding of mathematics – and with great career prospects. And the experience of previous students suggests that completing a substantial dissertation project is viewed very positively by potential employers.

You could choose to enter one of the professions traditionally associated with mathematics, such as accountancy, banking and finance, statistics and data analysis, and secondary or higher education. Or you could follow other graduates into roles in which logical thought and problem solving are important. These include information technology, engineering, logistics and distribution, central or local government, as well as other business areas. Many of our graduates also choose to continue their studies by going on to a higher degree.

Career destinations

Example of careers that you could enter include:

  • Secondary school teacher
  • Researcher
  • Mathematical modeller in industry
  • Accountant
  • Data Scientist
  • Actuary

Course related costs

You are eligible for reduced fees during the year abroad. Further details are available on our Tuition Fee website. 

There will be extra costs related to items such as your travel and accommodation during your year abroad, which will vary depending on location.

Please see Additional Course Fees for details of other course-related costs.

Course Modules 2019/0

Students must study the following modules for 120 credits:

Name Code Credits


Algebra plays a key role in pure mathematics and its applications. We will provide you with a thorough introduction and develop this theory from first principles. In the first semester, you consider linear algebra and in the second semester, you move on to group theory. In the first semester, you develop the theory of matrices, mainly (though not exclusively) over the real numbers. The material covers matrix operations, linear equations, determinants, eigenvalues and eigenvectors, diagonalization and geometric aspects. You conclude with the definition of abstract vector spaces. At the heart of group theory in Semester 2 is the study of symmetry and the axiomatic development of the theory. The basic concepts are subgroups, Lagrange's theorem, factor groups, group actions and the Isomorphism Theorem.




In this module, you will explore: (a) Complex numbers. (b) Vectors. (c) Differentiation; power series. (d) Integration: applications, curve sketching, area, arc-length. (e) First and second-order, constant-coefficient ordinary differential equations. Reduction of order. Numerical solutions using MAPLE. Partial derivatives, chain rule. (f) Line integrals. Multiple integrals, including change of coordinates by Jacobians. Green's Theorem in the plane.




Computation and modelling are essential skills for the modern mathematician. While many applied problems are amenable to analytic methods, many require some numerical computation to complete the solution. The synthesis of these two approaches can provide deep insight into highly complex mathematical ideas. This module will introduce you to the art of mathematical modelling, and train you in the computer programming skills needed to perform numerical computations. A particular focus is classical mechanics, which describes the motion of solid bodies. Central to this is Newton's second law of motion, which states that a mass will accelerate at a rate proportional to the force imposed upon it. This leads to an ordinary differential equation to be solved for the velocity and position of the mass. In the simplest cases the solution can be constructed using analytical methods, but in more complex situations, for example motion under resistance, numerical methods may be required. Iterative methods for solving nonlinear algebraic equations are fundamental and will also be studied. Further examples drawn from pure mathematics and statistics demonstrate the power of modern computational techniques.




The module provides you with a thorough introduction to some systems of numbers commonly found in Mathematics: natural numbers, integers, rational numbers, modular arithmetic. It also introduces you to common set theoretic notation and terminology and a precise language in which to talk about functions. There is emphasis on precise definitions of concepts and careful proofs of results. Styles of mathematical proofs you will discuss include: proof by induction, direct proofs, proof by contradiction, contrapositive statements, equivalent statements and the role of examples and counterexamples. In addition, this unit will also provide you with an introduction to producing mathematical documents using Latex, and an introduction to solving mathematical problems computationally using both Symbolic Algebra packages and Excel.




Probability is the study of the chance of events occurring. It has important applications to understand the likelihood of multiple events happening together and therefore to rational decision-making. This module will give you an introduction to the modern theory of probability developed from the seminal works of the Russian mathematician A.N. Kolmogorov in 1930s. Kolmogorov's axiomatic theory describes the outcomes (events) of a random experiment as mathematical sets. Using set theory language you will be introduced to the concept of random variables, and consider different examples of discrete random variables (like binomial, geometric and Poisson random variables) and continuous random variables (like the normal random variable). In the last part of the module you will explore two applications of probability: reliability theory and Markov chains. Aside of the standard lectures and workshop sessions, there will be two computer-lab sessions of (2 hours each) where you will apply probability theory to specific everyday life case studies. The only pre-requisites for this module are a basic knowledge of set theory and of calculus that you would have acquired during the Autumn semester. If you have done probability or statistic at A-level you will rediscover its contents now taught using a proper and more elegant mathematical formalism.




You will explore the mathematical notion of a limit and see the precise definition of the limit of a sequence of real numbers and learn how to prove that a sequence converges to a limit. After studying limits of infinite sequences, you move on to series, which capture the notion of an infinite sum. You will then learn about limits of functions and continuity. Finally, you will learn precise definitions of differentiation and integration and see the Fundamental Theorem of Calculus.



Students must study the following modules for 80 credits:

Name Code Credits


We introduce groups and rings. Together with vector spaces these are the most important structures in modern algebra. At the heart of group theory in Semester I is the study of symmetry and the axiomatic development of the theory. Groups appear in many parts of mathematics. The basic concepts are subgroups, Lagrange's theorem, factor groups, group actions and the First Isomorphism Theorem. In Semester II we introduce rings, using the Integers as a model and develop the theory with many examples related to familiar concepts such as substitution and factorisation. Important examples of commutative rings are fields, domains, polynomial rings and their quotients.




This module covers the standard basic theory of the complex plane. The areas covered in the first semester, (a), and the second semester, (b), are roughly the following: (a) Continuity, power series and how they represent functions for both real and complex variables, differentiation, holomorphic functions, Cauchy-Riemann equations, Moebius transformations. (b) Topology of the complex plane, complex integration, Cauchy and Laurent theorems, residue calculus.




(a) Ordinary Differential Equations: solution by reduction of order; variation of parameters for inhomogeneous problems; series solution and the method of Frobenius. Legendre's and Bessel's equations: Legendre polynomials, Bessel functions and their recurrence relations; Fourier series; Partial differential equations (PDEs): heat equation, wave equation, Laplace's equation; solution by separation of variables. (b) Method of characteristics for hyperbolic equations; the characteristic equations; Fourier transform and its use in solving linear PDEs; (c) Dynamical Systems: equilibrium points and their stability; the phase plane; theory and applications.




This module introduces some of the fundamental physical concepts and mathematical theory needed to analyse the motion of a fluid, with the focus predominantly on inviscid, incompressible motions. You will examine methods for visualising flow fields, including the use of particle paths and streamlines. You will study the dynamical theory of fluid flow, taking Newton's laws of motion as its point of departure, and will discuss the fundamental set of equations comprising conservation of mass and Euler's equations. The reduction to Laplace's equation for irrotational flow is demonstrated, and Bernoulli's equation is derived as a first integral of the equation of motion. Having established the basic theory, the way is set for a broader discussion of flow dynamics.



Students will select 20 - 40 credits from the following modules:

Name Code Credits


This module introduces you to quantum mechanics and special relativity. In quantum mechanics focus will be on: 1. Studying systems involving very short length scales - eg structure of atoms. 2. Understanding why the ideas of classical mechanics fail to describe physical effects when sub-atomic particles are involved. 3. Deriving and solving the Schrodinger equation. 4. Understanding the probabilistic interpretation of the Schrodinger equation. 5. Understanding how this equation implies that certain physical quantities such as energy do not vary continuously, but can only take on discrete values. The energy levels are said to be quantized. For special relativity, the general concept of space and time drastically changes for an observer moving at speeds close to the speed of light: for example time undergoes a dilation and space a contraction. These counterintuitive phenomena are however direct consequences of physical laws. The module will also explain the basis of Special Relativity using simple mathematics and physical intuition. Important well-known topics like inertial and non-inertial frames, the Lorentz transformations, the concept of simultaneity, time dilation and Lorentz contraction, mass and energy relation will be explained. You will end with the implications of special relativity and quantum mechanics on a relativistic theory of quantum mechanics.




It introduces the essential concepts of mathematical statistics deriving the necessary distribution theory as required. In consequence in addition to ideas of sampling and central limit theorem, it will cover estimation methods and hypothesis-testing. Some Bayesian ideas will be also introduced.




This module provides an introduction to two self-contained topics which have not been seen before. Topology: This is an introduction to point-set topology, which studies spaces up to continuous deformations and thereby generalises analysis, using only basic set theory. You will begin by defining a topological space, and will then investigate notions like open and closed sets, limit points and closure, bases of a topology, continuous maps, homeomorphisms, and subspace and product topologies. Computability: This is an introduction to the theoretical foundation of computability theory. The main question we will focus on is "which functions can in principle (i.e., given unlimited resources of space and time) be computed?". The main object of study will be certain devices known as unlimited register machines (URM's). We will adopt the point of view that a function is computable, if and only if, I is computable by a URM. You will identify large families of computable functions and will prove that certain naturally occurring functions are not computable.



Students will select 0 - 20 credits from the following modules:

Name Code Credits


What lies beneath our feet? This module addresses this question by exploring how wavefields and potential fields are used in geophysics to image the subsurface on scales of metres to kilometres. You'll study the basic theory, data acquisition and interpretation methods of seismic, electrical, gravity and magnetic surveys. A wide range of applications are covered, including archaeological geophysics, energy resources and geohazards. Highly valued by employers, this module features guest lecturers from industry who explain the latest 'state-of-the-art' applications and give you unique insight into real world situations. In taking this module, you'll normally expected to have a good mathematical ability, notably in calculus and algebra.




You will build on the introductory material you gained in first year engineering mechanics. An appreciation of why dynamics and vibration are important for engineering designers leads to consideration of Single-degree-of-freedom (SDOF) systems, Equation of motion, free vibration analysis, energy methods, natural frequency, undamped and damped systems and loading. Fourier series expansion and modal analysis are applied to vibration concepts: eigenfrequency, resonance, beats, critical, under-critical and overcritical damping, and transfer function. Introduction to multi-degree of freedom (MDOF) systems. Applications to beams and cantilevers. MathCAD will be used to support learning.




This module will provide you with an introduction to key areas of psychology with a focus on learning and teaching in education. By the end of the module you should be able to: - Discuss the role of perception, attention and memory in learning; - Compare and contrast key theories related to learning, intelligence, language, thinking and reasoning; - Critically reflect on key theories related to learning,intelligence, language, thinking and reasoning in the practical context; - Discuss the influence of key intrapersonal, interpersonal and situational factors on pupils learning and engagement in educational settings.




You will be introduced to important topics in physics, with particular, but not exclusive, relevance to chemical and molecular physics. You will cover areas including optics, electrostatics and magnetism and special relativity.




How are businesses organised and managed? This module helps non-Norwich Business School students explore the dynamic and ever-changing world of business and provides insights into the managerial role. You'll explore the business environment, key environmental drivers and the basic functions of organisations. There will be a review of how organisations are managed in response to various environmental drivers. You will consider some of the current issues faced by every organisation, such as business sustainability, corporate responsibility and internationalisation. This module is designed to provide an overview of the corporate world for non-business specialists, so no previous knowledge of business or business management is required for this module. General business concepts are introduced in lectures and applied in a practical manner during seminars. By the end of this module, you will be able to understand and apply key business concepts and employ a number of analytical tools to help explore the business environment, industry structure and business management. You will be assessed through a range of assignments, for example an individual piece of coursework, group work and an exam. Therefore, the module reinforces fundamental study skills development through a combination of academic writing, presentational skills, teamwork and the practical application of theory. Core business theory is introduced in lectures and applied practically with the use of examples in seminars. By the end of this module you will be able to understand and apply key business concepts and a range of analytical tools to explore the business environment. Introduction to Business facilitates study skills development that is essential across all 3 years of the undergraduate degree by developing academic writing, presentation, team working and communication skills effectively.




It is vital that everyone working in business has an understanding of accounting data in order that financial information can be used to add value to the organisation. You'll be provided with a foundation in the theory and practice of accounting and an introduction to the role, context and language of financial reporting and management accounting. The module assumes no previous study of accounting. You'll begin with building a set of accounts from scratch so that you will be able to analyse and provide insight form the major financial statements. You'll also look at management decision making tools such as costing, budgeting and financial decision making. You will be required to actively participate in your learning both in lectures and seminars. The module employs a "learn by doing" approach.




The aim of this module is to introduce students to the economic way of reasoning, and to apply these to a variety of real world macroeconomic issues. Students will begin their journey by learning how to measure macroeconomic aggregates, such as GDP, GDP growth, unemployment and inflation. The module will establish the foundations to conduct rigorous Macroeconomics analysis, as students will learn how to identify and characterise equilibrium on the goods market and on the money market. The module will also introduce students to policy-making, exploring and evaluating features and applications of fiscal and monetary policy. Students will grow an appreciation of the methods of economic analysis, such as mathematical modelling, diagrammatic representation, and narrative. The discussion of theoretical frameworks will be enriched by real world applications, and it will be supported by an interactive teaching approach.




Forming a foundation for subsequent economic modules, this module will introduce you to the fundamental principles, concepts and tools of microeconomics and show you how to apply these to a variety of real world economic issues. There is some mathematical content - you will be required to interpret linear equations, solve simple linear simultaneous equations and use differentiation. The module is primarily concerned with: 1) the ways individuals and households behave in the economy 2) the analysis of firms producing goods and services 3) how goods and services are traded or otherwise distributed - often but not exclusively through markets 4) the role of government as provider and/or regulator.




The weather affects everyone and influences decisions that are made on a daily basis around the world. From whether to hang your washing out on a sunny afternoon, to which route a commercial aircraft takes as it travels across the ocean, weather plays a vital role. With that in mind, what actually causes the weather we experience? In this module you'll learn the fundamentals of the science of meteorology. You'll concentrate on the physical process that allow moisture and radiation to transfer through the atmosphere and how they ultimately influence our weather. The module contains both descriptive and mathematical treatments of radiation balance, thermodynamics, dynamics, boundary layers, weather systems and the water cycle. The module is assessed through a combination of one piece of coursework and an exam, and is designed in a way that allows those with either mathematical or descriptive abilities to do well, although a reasonable mathematical competence is essential, including basic understanding of differentiation and integration.




The purpose of this module is to give you a solid grounding in the essential features programming using the Java programming language. The module is designed to meet the needs of the student who has not previously studied programming.




Understanding of natural systems is underpinned by physical laws and processes. You will explore the energy, mechanics, and physical properties of Earth materials and their relevance to environmental science using examples from across the Earth's differing systems. The formation, subsequent evolution and current state of our planet are considered through its structure and behaviour - from the planetary interior to the dynamic surface and into the atmosphere. You will study Plate Tectonics to explain Earth's physiographic features - such as mountain belts and volcanoes - and how the processes of erosion and deposition modify them. The distribution of land masses is tied to global patterns of rock, ice and soil distribution and to atmospheric and ocean circulation. You will also explore geological time - the 4.6 billion year record of changing conditions on the planet - and how geological maps can be used to understand Earth history. This course provides you with an introduction to geological materials - rocks, minerals and sediments - and to geological resources and natural hazards.



Students must study the following modules for 120 credits:

Name Code Credits


A semester spent at an overseas university, taking an approved course of study.



Students must study the following modules for credits:

Name Code Credits

Students will select 40 credits from the following modules:

Please note that CMP-6004A Advanced Statistics or equivalent is a prerequisite for CMP-7017Y.

Name Code Credits


In your fourth year you can produce a dissertation on a mathematical topic and receive guidance from a supervisor throughout your project. This is a compulsory part of some Master of Mathematics degrees.




This module is modelled on the Mathematics MMath project module MTHA7029Y. However, in this case it consists of a supervised dissertation on a topic in the general area of probability or statistics. It may involve some computation, this will depend on the topic chosen.



Students will select 80 credits from the following modules:

Name Code Credits


Cryptography is the science of coding and decoding messages to keep them secure, and has been used throughout history. While previously only a few people in authority used cryptography, the internet and e-commerce mean that we now all have transactions that we want to keep secret. The speed of modern computers means messages encrypted using techniques from just a few decades ago can now be broken in seconds; thus the methods of encryption have also become more sophisticated. In this module, you will explore some of the mathematics behind cryptography and how to apply it. This includes standard material from elementary number theory, including primality testing and methods of factorization and their application to symmetric key and public key cryptography, including Diffie-Hellman Key exchange, RSA and ElGamal. The last section of the course will be on elliptic curve cryptography. There will be additional material on an advanced topic, to be determined.




Dynamical meteorology is a core subject on which weather forecasting and the study of climate and climate change are based. This module applies fluid dynamics to the study of the circulation of the Earth's atmosphere. The fluid dynamical equations and some basic thermodynamics for the atmosphere are introduced. These are then applied to topics such as geostrophic flow, thermal wind and the jet streams, boundary layers, gravity waves, the Hadley circulation, vorticity and potential vorticity, Rossby waves, and equatorial waves. Emphasis will be placed on fluid dynamical concepts as well as on finding analytical solutions to the equations of motion. Advanced Topic: Advanced Rossby wave propagation.




Fluid dynamics has wide ranging applications across nature, engineering, and biology. From understanding the behaviour of ocean waves and weather, designing efficient aircraft and ships, to capturing blood flow, the ability to understand and predict how fluids (liquids and gasses) behave is of fundamental importance. You will consider mathematical models of fluids, particularly including viscosity (or stickiness) of a fluid. Illustrated by practical examples throughout, you will develop the governing differential Navier-Stokes equations, and then consider their solution either finding exact solutions, or using analytical techniques to obtain solutions in certain limits (for example low viscosity or high viscosity).




This course will cover normed spaces; completeness; functionals; Hahn-Banach theorem; duality; and operators. Time permitting, we shall discuss Lebesgue measure; measurable functions; integrability; completeness of L-p spaces; Hilbert space; compact, Hilbert-Schmidt and trace class operators; as well as the spectral theorem. The advanced topic will be Lebesgue measure, studied in depth




A prerequisite of this module is that you have studied the Algebra module. Galois theory is one of the most spectacular mathematical theories. It gives a beautiful connection between the theory of polynomial equations and group theory. In fact, many fundamental notions of group theory originated in the work of Galois. For example, why are some groups called "solvable"? Because they correspond to the equations that can be solved (by some formula based on the coefficients, involving algebraic operations, and extracting roots of various degrees). Galois theory explains why we can solve quadratic, cubic and quartic equations, but no similar formulae exist for equations of degree greater than 4. In modern exposition, Galois theory deals with "field extensions", and the central topic is the "Galois correspondence" between extensions and groups. The advanced topic concerns the so-called "Inverse Galois problem": does every group correspond to some polynomial, and is the answer dependent on the base field?




A graph is a set of 'vertices' - usually finite - which may or may not be linked by 'edges'. Graphs are very basic structures and therefore play an important role in many parts of mathematics, computing and science more generally. In this module, you will develop the basic notions of connectivity and matchings. You'll explore the connection between graphs and topology via the planarity of graphs. We aim to prove a famous theorem due to Kuratowski which provides the exact conditions for a graph to be planar. You will also be able to study an additional topic on graph colourings. One of the best known theorems in graph theory is the Four-Colour-Theorem. While this result is not within our reach we shall aim to prove the Five-Colour-Theorem. In the Advanced Topics section, you will discuss strongly regular graphs.




Mathematics finds wide-ranging applications in biological systems: including population dynamics, epidemics and the spread of diseases, enzyme kinetics, some diffusion models in biology including Turing instabilities and pattern formation, and various aspects of physiological fluid dynamics. Advanced topic: TBD




Mathematical Logic analyses symbolically the way in which we reason formally, particularly about mathematical structures. The ideas have applications to other parts of Mathematics, as well as being important in theoretical computer science and philosophy. We give a thorough treatment of predicate and propositional logic and an introduction to model theory.




This unit provides a selection of techniques applicable to mathematical problems in a wide range of applications, while at the time stressing the importance of rigour in developing such techniques. Topics to be studied include calculus of variation, asymptotic analysis, Green's functions and Integral transforms. There will be in depth study of other aspects of asymptotic theory, including Matched Asymptotic Expansions and the WKB approximation. This unit will include illustration of concepts using numerical investigation with MAPLE and MATLAB.




Whilst the University will make every effort to offer the modules listed, changes may sometimes be made arising from the annual monitoring, review and update of modules and regular (five-yearly) review of course programmes. Where this activity leads to significant (but not minor) changes to programmes and their constituent modules, there will normally be prior consultation of students and others. It is also possible that the University may not be able to offer a module for reasons outside of its control, such as the illness of a member of staff or sabbatical leave. In some cases optional modules can have limited places available and so you may be asked to make additional module choices in the event you do not gain a place on your first choice. Where this is the case, the University will endeavour to inform students.

Further Reading

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Entry Requirements

  • A Level AAB including an A in Mathematics or ABB including an A in Mathematics and a B in Further Mathematics. Science A-Levels must include a pass in the practical element.
  • International Baccalaureate 33 points including Higher Level 6 in Mathematics.
  • Scottish Highers AAAAA alongside Scottish Advanced Highers Mathematics at grade B.
  • Scottish Advanced Highers BBC including a B in Mathematics.
  • Irish Leaving Certificate 4 subjects at H2, 2 subjects at H3 including H2 in Mathematics.
  • Access Course Pass Access to HE Diploma with Distinction in 36 credits at Level 3 and Merit in 9 credits at Level 3, including 12 credits in Mathematics at Distinction. Please note that an interview will be required.
  • BTEC DDD in relevant subject alongside grade A in A-Level Mathematics. Excludes BTEC Public Services, BTEC Uniformed Services and BTEC Business Administration
  • European Baccalaureate 80% overall including 85% in Mathematics.

Entry Requirement

General Studies and Critical Thinking are not accepted. 

If you do not meet the academic requirements for direct entry, you may be interested in one of our Foundation Year programmes:

Mathematics with a Foundation Year

Students for whom English is a Foreign language

Applications from students whose first language is not English are welcome. We require evidence of proficiency in English (including writing, speaking, listening and reading):

  • IELTS: 6.5 overall (minimum 5.5 in all components)

We also accept a number of other English language tests. Please click here to see our full list.

INTO University of East Anglia 

If you do not yet meet the English language requirements for this course, INTO UEA offer a variety of English language programmes which are designed to help you develop the English skills necessary for successful undergraduate study:

If you do not meet the academic and or English requirements for direct entry our partner, INTO University of East Anglia offers guaranteed progression on to this undergraduate degree upon successful completion of a preparation programme. Depending on your interests, and your qualifications you can take a variety of routes to this degree:


Most applicants will not be called for an interview and a decision will be made via UCAS Track. However, for some applicants an interview will be requested. Where an interview is required the Admissions Service will contact you directly to arrange a time.

Gap Year

We welcome applications from students who have already taken or intend to take a gap year.  We believe that a year between school and university can be of substantial benefit. You are advised to indicate your reason for wishing to defer entry on your UCAS application.


The annual intake is in September each year.

Alternative Qualifications

UEA recognises that some students take a mixture of International Baccalaureate IB or International Baccalaureate Career-related Programme IBCP study rather than the full diploma, taking Higher levels in addition to A levels and/or BTEC qualifications. At UEA we do consider a combination of qualifications for entry, provided a minimum of three qualifications are taken at a higher Level. In addition some degree programmes require specific subjects at a higher level.

GCSE Offer

You are required to have Mathematics and English Language at a minimum of Grade C or Grade 4 or above at GCSE.

Course Open To

UK and overseas applicants.

Fees and Funding

Undergraduate University Fees and Financial Support

Tuition Fees

Information on tuition fees can be found here:

UK students

EU Students 

Overseas Students

Scholarships and Bursaries

We are committed to ensuring that costs do not act as a barrier to those aspiring to come to a world leading university and have developed a funding package to reward those with excellent qualifications and assist those from lower income backgrounds.

The University of East Anglia offers a range of Scholarships; please click the link for eligibility, details of how to apply and closing dates.

How to Apply

Applications need to be made via the Universities Colleges and Admissions Services (UCAS), using the UCAS Apply option.

UCAS Apply is a secure online application system that allows you to apply for full-time Undergraduate courses at universities and colleges in the United Kingdom. It is made up of different sections that you need to complete. Your application does not have to be completed all at once. The application allows you to leave a section partially completed so you can return to it later and add to or edit any information you have entered. Once your application is complete, it is sent to UCAS so that they can process it and send it to your chosen universities and colleges.

The Institution code for the University of East Anglia is E14.

Further Information

Please complete our Online Enquiry Form to request a prospectus and to be kept up to date with news and events at the University. 

Tel: +44 (0)1603 591515


    Next Steps

    We can’t wait to hear from you. Just pop any questions about this course into the form below and our enquiries team will answer as soon as they can.

    Admissions enquiries: or
    telephone +44 (0)1603 591515