MMath Master of Mathematics (with a Year Abroad)


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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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 problem solving and how to present mathematical arguments will encourage you to develop ways of tackling unfamiliar problems while also providing an opportunity for group working. 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. In addition, you’ll be introduced to mathematical software, which will be invaluable in your individual fourth year MMath project.

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 willundertake 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.

Optional Study abroad or Placement Year

Integral to this degree programme, you’ll spend your third year studying Mathematics abroad, usually at a university in Australasia 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 2018/9

Students must study the following modules for 120 credits:

Name Code Credits


(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 co-ordinates by Jacobians. Green's Theorem in the plane. (g) Vector calculus: divergence, gradient, curl of vector field. The Laplacian. Scalar potential and path-independence of line integral. (h) Surface integrals, Divergence Theorem and Stokes' Theorem. Operators in orthogonal curvilinear coordinates. (i) Introduction to Matlab.




In the first semester we develop the algebra of matrices: Matrix operations, linear equations, determinants, eigenvalues and eigenvectors, diagonalisation and geometric aspects. This is followed in the second semester by vectors space theory: Subspaces, basis and dimension, linear maps, rank-nullity theorem, change of basis and the characteristic polynomial.




This module comprises two parts: andquot;Mathematical Problem Solvingandquot; and andquot;Mechanics and Modellingandquot;. Being able to tackle unfamiliar problems using existing knowledge is an essential part of mathematics and a key transferable skill. Equally important is being able to express mathematical ideas in written and verbal form. In the first part of this module you will acquire these skills through collaborative group work on a number of example problems covering different areas of mathematics. The module will promote accurate reading, writing, and thinking about mathematics, and will also improve your confidence and ability to tackle unfamiliar problems. Newtonian mechanics provides a basic description of how particles and rigid bodies move in response to applied forces. In the second part of the module you will study Newton's laws of motion and how they can be applied to particle dynamics, vibrations, motion in polar coordinates, and conservation laws.




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, we move on to series, which capture the notion of an infinite sum. We then learn about limits of functions and continuity. Finally, we will learn precise definitions of differentiation and integration and see the Fundamental Theorem of Calculus.




You will explore basic set-theoretic notation, functions, proof by induction, arithmetic, rationals and irrationals, the Euclidean algorithm and the styles of proof. Elementary set theory, modular arithmetic, equivalence relations and countability are also covered during this module. You will study probability as a measurement of uncertainty, statistical experiments and Bayes' theorem as well as discrete and continuous distributions. Expectation. Applications of probability: Markov chains, reliability theory.



Students must study the following modules for 80 credits:

Name Code Credits


This module will 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 we will 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.




You will study the standard basic theory of the complex plane. In the first semester, you will study within the areas of continuity, power series and how they represent functions for both real and complex variables, differentiation, holomorphic functions, Cauchy-Riemann equations, Moebius transformations. In the second semester, you will study within the areas of topology of the complex plane, complex integration, Cauchy and Laurent theorems, residue calculus.




You'll gain a solid understanding in the following areas: 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. Method of characteristics for hyperbolic equations; the characteristic equations; Fourier transform and its use in solving linear PDEs; 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 the fundamental set of equations comprising conservation of mass and Euler's equations will be discussed. The reduction to Laplace's equation for irrotational flow will be 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 including everyday practical examples.



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

Name Code Credits


Combinatorics is one of the most applicable and accessible part of mathematics, yet it is also full of challenging problems. We shall cover many basic combinatorial concepts including counting arguments (enumerative combinatorics) and Ramsey theory. Linear Algebra underpins much of modern mathematics and is the key to many applications. We will introduce bilinear forms and symmetric operators on vector spaces leading to the diagonalization of linear maps and the spectral theorem. This theorem is key to many applications in statistics and physics. Other topics covered will include polynomials of linear maps, the Cayley-Hamilton theorem and the Jordan normal form of a matrix.




Mathematical modelling is concerned with how to convert real problems, such as those arising in industry or other sciences, into mathematical equations, and then solving them, using the results to better understand, or make predictions about, the original problem. You will look at techniques of mathematical modelling, examining how mathematics can be applied to a variety of real problems and give insight in various areas, including approximation and non-dimensionalising, and discussion of how a mathematical model is created. You will then apply this theory to a variety of models, such as traffic flow, as well as examples of problems arising in industry.




Learn the essential concepts of mathematical statistics, deriving the necessary distribution theory as required. Additionally, you'll explore ideas of sampling and central limit theorem, covering estimation methods and hypothesis-testing, with the introduction of some Bayesian ideas.



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. Students doing this module are normally expected to have a good mathematical ability, notably in calculus and algebra.




You will build on the introductory material from 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. Assessment: Coursework 100%




This module gives an introduction to important topics in physics, with particular, but not exclusive, relevance to chemical and molecular physics. Areas covered include optics, electrostatics and magnetism, aspect of chemical physics, basic quantum mechanics and special relativity. The module will involve both lectures and workshops, where you will develop analytical thinking and problem solving skills. The module may be taken by any science students who wish to study physics beyond A Level.




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.




This module will introduce you to the economic way of reasoning, exploring how to apply this to a variety of real world macroeconomic issues. You'll begin your journey by learning how to measure macroeconomic aggregates, such as GDP, GDP growth, unemployment and inflation. Establishing the foundations to conduct rigorous Macroeconomics analysis, you'll learn how to identify and characterise equilibrium on the goods market and on the money market. You'll examine policy-making, exploring and evaluating features and applications of fiscal and monetary policy, and grow an appreciation of the methods of economic analysis, such as mathematical modelling, diagrammatic representation, and narrative. Discussion of theoretical frameworks will be enriched by real world applications and 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 of 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 year studying abroad.



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


You will complete a fourth year dissertation on a mathematical topic that is a compulsory part of some Master of Mathematics degrees.




This module is modelled on the Mathematics MMath project module MTHA7029Y, and is designed for MMath Mathematics students. 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 20 credits from the following modules:

Name Code Credits


This module gives an introduction to ideas of differential geometry. Key examples will be curves and surfaces embedded in 3-dimensional Euclidean space. We will start with curves and will study the curvature and torsion, building up to the fundamental theorem of curve theory. From here we move on to other topics, including surfaces, and the advanced topics for 4th year students.




The ocean is an important component of the Earth's climate system. In this module, you will cover mathematical modelling of the large-scale ocean circulation and oceanic wave motion. You will build upon the techniques in fluid dynamics and differential equations that you developed in previous years of study. It then uses these techniques to explain some interesting phenomena in the ocean that are relevant to the real world. We begin by examining the effects of rotation on fluid flows. This naturally leads to the important concept of geostrophy, which enables ocean currents to be inferred from measurements of the sea surface height or from vertical profiles of seawater density. Geostrophy also plays a key role in the development of a model for the global scale circulation of abyssal ocean. The role of the wind in driving the ocean will be examined. This enables us to model the large-scale circulation of the ocean including the development of oceanic gyres and strong western boundary currents, such as the Gulf Stream. You will conclude by examining the role of waves, both at the sea surface and internal to the ocean. The differences between wave motion at mid-latitudes and the Equator are examined, as is the roll of the Equator as a wave-guide. The equatorial waves that you will study are intimately linked with the El Nino phenomenon that affects the climate throughout the globe. The advanced topic is a study of barotropic and baroclinic instability.




The behaviour of electric and magnetic fields is fundamental to many features of life we take for granted yet the underlying equations are surprisingly compact and elegant. We will begin with an historical overview of electrodynamics to see where the governing equations (Maxwell's) come from. We will then use these equations as axioms and apply them to a variety of situations including electro- and magneto-statics problems and then time-dependent problems (eg electromagnetic waves). We shall also consider how the equations change in an electromagnetic media and look at some simple examples. The advanced topic will be on nonlinear models of magnetic materials.




The Mathematical Modelling of Finance is a relatively new area of application of mathematics yet it is expanding rapidly and has great importance for world financial markets. The module is concerned with the valuation of financial instruments known as derivatives. You will be introduced to options, futures and the no-arbitrage principle. Mathematical models for various types of options are also discussed. We consider Brownian motion, stochastic processes, stochastic calculus and Ito's lemma. The Black-Scholes partial differential equation is derived and its connection with diffusion brought out. It is applied and solved in various circumstances. Further advanced topics may include American options or stochastic interest rate models.




Think of a fish swimming in river or a long container ship vibrating in sea waves. This may give you a clue about fluid-structure interaction (FSI), where a "structure" (fish or ship) moves interacting with a "fluid" (water and/or air). The flow of the fluid is changed by the moving structure which in turn is affected by the fluid loads. The fluid loads depend on the structure motions, and the structure motions depend on the fluid loads. A fluid and a structure cannot be considered separately in the problems you will study in this module. Their motions are coupled. The problems of fluid-structure interaction become even more complex if the structure is deformable. You will study interesting and practical FSI problems from ship hydrodynamics and offshore/coastal engineering, including wave interaction with coastal structures and very large floating structures, underwater motions of rigid bodies, water impact onto elastic surfaces and others. The problems will be formulated and methods of their analysis will be presented. The module covers mathematical models of liquid motion and motions of rigid and elastic bodies, coupled problems of FSI and methods to find solutions to such problems. The mathematical techniques include method of separating variables, methods of analytic function theory, variational inequalities and methods of asymptotic analysis. The advanced part of the module will consider problems with unknown (in advance) contact region between water and the surface of the structure. In such problems, the area of the body surface, where the fluid loads are applied, should be determined as part of the solution. You will study water entry problem, ship slamming and water wave impact problems by advanced mathematical techniques.




This module gives an introduction the area of representation theory. It introduces you to algebras, representations, modules and related concepts. Important theorems of the module are the Jordan-Hoelder and Artin-Wedderburn Theorems.




This module introduces you to Semigroup Theory. Semigroups are algebraic objects which generalize groups. They are of interests because they arise naturally in many parts of mathematics, for example, whenever we are composing functions, multiplying matrices, or considering homomorphisms between objects, there are semigroups underlying our mathematics. You will study a class of algebraic objects called semigroups. A semigroup is an algebraic structure consisting of a set together with an associative binary operation. For example, every group is a semigroup, but the converse is far from being true. Semigroups are ubiquitous in pure mathematics: whenever we are composing functions, multiplying matrices, or considering homomorphisms between objects, there are semigroups underlying our mathematics. Finite semigroups are also of importance in the theory of finite automata (an area of theoretical computer science). You will cover the fundamentals of semigroup theory, with the focus on using Green's relations to study their underlying structure. Topics covered will include: definition of semigroups and monoids with examples, idempotents, maximal subgroups, ideals and Rees quotients, Green's relations and regular semigroups, 0-simple semigroups, principal factors, Rees matrix semigroups and the Rees theorem. In the advanced topic you will learn about an important finiteness property in semigroup theory called residual finiteness.




You will explore foundational issues in mathematics and the appropriate mathematical framework for discussing 'sizes of infinity'. On the one hand we shall cover concepts such as ordinals, cardinals, and the Zermelo-Fraenkel axioms with the Axiom of Choice. On the other, we shall see how these ideas come up in other areas of mathematics, such as graph theory and topology. Familiarity with and a taste for mathematical proofs will be assumed. Main topics covered include: Zermelo-Fraenkel set theory. The Axiom of Choice and equivalents. Cardinality, countability, and uncountability. Trees, Combinatorial set theory. Advanced topic: Constructibility.




You will gain an introduction to the theory of waves. You will study aspects of linear and nonlinear waves using analytical techniques and Hyperbolic Waves and Water Waves will also be considered. This module requires some knowledge of hydrodynamics and multi-variable calculus. The unit is suitable for those with an interest in Applied Mathematics.




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

  • Discover Maths Taster Event

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


Entry Requirements

  • A Level A*AB or AAA to include an A in Mathematics. Science A-levels must include a pass in the practical element.
  • International Baccalaureate 34 points overall including HL6 in Mathematics and one other subject. if no GCSE equivalent is held, offer will include Mathematics and English requirements
  • Scottish Advanced Highers BBB to include a B in Mathematics. A combination of Advanced Highers and Highers may be acceptable.
  • Irish Leaving Certificate 6 subjects at H2 to include H2 in Higher Level Mathematics.
  • Access Course Pass Access to HE Diploma with Distinction in 45 credits at Level 3 including 12 Level 3 credits in Mathematics. Interview required.
  • BTEC DDM in a relevant subject plus A-level Mathematics at Grade A. Excluding Public Services. BTEC and A-level combinations are considered - please contact us.
  • European Baccalaureate 82% overall including 85% in Mathematics

Entry Requirement

GCSE English Language grade C/4 and GCSE Mathematics grade C/4.

Critical Thinking and General Studies A-Levels are not accepted.

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.


Students for whom English is a Foreign language

We welcome applications from students from all academic backgrounds. We require evidence of proficiency in English (including writing, speaking, listening and reading):

  • IELTS: 6.5 overall (minimum 6.0 in any component)

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 meet the academic and/or English language requirements for this course, our partner INTO UEA offers guaranteed progression on to this undergraduate degree upon successful completion of a foundation programme. Depending on your interests and your qualifications you can take a variety of routes to this degree:


INTO UEA also offer a variety of English language programmes which are designed to help you develop the English skills necessary for successful undergraduate study:


The majority of candidates will not be called for an interview and a decision will be made via UCAS Track. However, for some students an interview will be requested. You may be called for an interview to help the School of Study, and you, understand if the course is the right choice for you.  The interview will cover topics such as your current studies, reasons for choosing the course and your personal interests and extra-curricular activities.  Where an interview is required the Admissions Service will contact you directly to arrange a convenient 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 and to contact directly to discuss this further.


The School's annual intake is in September of each year.

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 system 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 must be sent to UCAS so that they can process it and send it to your chosen universities and colleges.

The UCAS code name and number for the University of East Anglia is EANGL E14.

Further Information

If you would like to discuss your individual circumstances with the Admissions Office prior to applying please do contact us:

Undergraduate Admissions Office (Mathematics)
Tel: +44 (0)1603 591515

Please click here to register your details online via our Online Enquiry Form.

International candidates are also actively encouraged to access the University's International section of our website.

    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