BSc Mathematics with a Foundation Year
 ALevel typical
 CCC. (2020/1 entry) See All Requirements
About this course
Mathematics is one of the most fundamental and important academic disciplines. So we believe it’s crucial that higher mathematics education is available to anyone who wants to deepen their understanding of it – whether you’re a mature student looking for a career change, you want to get deeper into a lifelong passion, or you’ve left education without the Alevels you need to go straight into a degree.
During your Foundation Year you will focus on the essential concepts, techniques and knowledge you’ll need to progress onto studying mathematics at a higher level – including basic algebra, notation and calculus. On successfully completing the foundation year, you’ll be able to join our full BSc Mathematics degree programme.
During your Foundation Year you will focus on the essential concepts, techniques and knowledge you’ll need to progress onto studying mathematics at a higher level – including basic algebra, notation and calculus. On successfully completing the foundation year, you’ll be able to join our full BSc Mathematics degree programme.
Course Profile
Overview
Our Foundation Year course has been designed to give you access to a degree in Mathematics, without having to meet our traditional entry requirements. Whether you’re looking for a career change or don’t have the standard Alevels needed to go straight into a BSc, your application will be assessed on a casebycase basis.
Your Foundation Year will focus on the essential concepts, techniques and knowledge you’ll need to study mathematics at a higher level. Complete it successfully and you’ll be accepted onto our full BSc Mathematics degree programme.
We combine academic rigour with a supportive community. Our enthusiastic and knowledgeable staff will guide you through this fascinating subject. We pride ourselves on the personal attention our students receive, ensuring the relationships between staff and students are strong. What’s more, we’re experts in a number of cuttingedge topics. In fact, over 87% of our mathematical sciences research outputs were judged as internationally excellent or worldleading (REF 2014).
At UEA you’ll benefit from internationally recognised, researchled teaching and a high academic staff to student ratio, ensuring you graduate with a deep understanding of mathematics, and great career prospects.
Course Structure
Half of the modules you’ll study in your Foundation Year will focus entirely on mathematics. We’ll introduce you to fundamental theorems, standard notation, and core themes like algebra and calculus. The compulsory modules will be supplemented by optional modules in other related sciences, such as Physics, Computing or Chemistry, so you’ll gain an insight into other disciplines that utilise mathematical techniques, too. Complete your Foundation Year successfully and you’ll be eligible to move onto our threeyear BSc Mathematics. The degree programme will build on the mathematical knowledge you will have developed in your Foundation Year, before introducing you to more advanced concepts that will be developed throughout the course. You will have the opportunity to specialise in years three and four, with a variety of modules that will enable you to tailor your degree programme around your particular interests. For the years of study beyond the Foundation Year, please see the course page specific to the degree programme.
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. 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.
Individual Study
To succeed at universitylevel mathematics, you need to spend at least as much time on individual study as you spend in classes and workshops. 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 facetoface 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.
Assessment
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
Depending on your academic results, you may be able to transfer onto our MMath Master of Mathematics, BSc Mathematics (with Education), or our BSc Mathematics with a Year in Industry, at the end of year one of the degree course.
After the course
Once you successfully finish your Foundation Year you will go straight onto one of the main degree programmes within the School of Mathematics. Study with us and you’ll graduate with a deep understanding of mathematics – and with great career prospects.
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
Examples of careers that you could enter include: Recent graduates have gone on to become: Secondary school teacher Cyber security consultant Mathematical modeller in industry Accountant Data Scientist Actuary.
Course related costs
Please see Additional Course Fees for details of other courserelated costs.
Teaching and Assessment
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.Course Modules 2020/1
Students must study the following modules for 60 credits:
Name  Code  Credits 

ADVANCED MATHEMATICS This module extends material beyond Basic Mathematics I and Basic Mathematics II, and takes the most useful topics from the equivalent of the Further Maths Alevel syllabus:  Simple common sets.  Notions of mathematical rigour and proof by induction.  Ideas of function such as f(x)=(ax+b)/(cx+d) for curve sketching, including identifying asymptotes.  Trigonometric functions and corresponding identities, including graph sketching aided by the derivative as the slope of a curve.  The hyperbolic functions sinhx, coshx and tanhx.  The Maclaurin Series Expansions.  Matrices and determinants (2x2 and 3x3) and their link with vectorcrossproduct. Examples of matrixtransformations of the plane and of space.  Separable variable firstorder differential equations for modelling the motion of objects (once Integration has been covered in Basic Mathematics II). E.g. a car decelerating within a specified breaking distance; a body falling with airresistance. All this has proved to set up students well for what follows in the degree course.  MTHB3003B  20 
BASIC MATHEMATICS I Taught by lectures and seminars to bring students from Maths GCSE towards Alevel standard, this module covers several algebraic topics including functions, polynomials and quadratic equations. Trigonometry is approached both geometrically up to Sine and Cosine Rule and as a collection of waves and other functions. The main new topic is Differential Calculus including the Product and Chain Rules. We will also introduce Integral Calculus and apply it to areas. Students should have a strong understanding of GCSE Mathematics.  MTHB3001A  20 
BASIC MATHEMATICS II Following MTHB3001A (Basic Mathematics I), this module brings students up to the standard needed to begin year one of a range of degree courses. The first half covers Integral Calculus including Integration by Parts and Substitution. Trigonometric identities, polynomial expressions, partial fractions and exponential functions are explored, all with the object of integrating a wider range of functions. The second half of the module is split into two: Complex Numbers and Vectors. We will meet and use the imaginary number i (the square root of negative one), represent it on a diagram, solve equations using it and link it to trigonometry and exponential functions. Strange but true: imaginary numbers are useful in the real world. The last section is practical rather than abstract too; we will be looking at three dimensional position and movement and solving geometric problems through vector techniques.  MTHB3002B  20 
Students will select 60 credits from the following modules:
Name  Code  Credits 

FOUNDATIONS OF COMPUTING 1 In taking this module you will learn about a wide range of topics that are fundamental to computing science. You will study areas such as history of computing, web site design, the binary system, logic circuits, and algorithms. In the practical work for the module you will use a range of tools and techniques appropriate to the topic being studied.  CMP3002A  20 
FOUNDATIONS OF COMPUTING 2 This module follows on from Foundations of Computing 1. You will learn about a further range of topics that are fundamental to computing science. You will study areas such as database design, accessing databases via dynamic websites, an introduction to machine code, machine learning and an introduction to higher level languages.  CMP3006B  20 
FURTHER CHEMISTRY A course in chemistry intended to take you to the level required to begin a relevant degree in the Faculty of Science. The module will help you to develop an understanding of: reactions of functional groups in organic chemistry; basic thermodynamics; spectroscopic techniques; transition metal chemistry and practical laboratory skills.  CHE3003B  20 
FURTHER PHYSICS This module follows on from Introductory Physics and continues to introduce you to the fundamental principles of physics and uses them to explain a variety of physical phenomena. You will study gravitational, electric and magnetic fields, radioactivity and energy levels. There is some coursework based around the discharge of capacitors. The module finishes with you studying some aspects of thermal physics, conservation of momentum and simple harmonic motion.  PHY3010B  20 
INTRODUCTORY CHEMISTRY A module designed for you, if you are on a Science Faculty degree with a Foundation Year or Medicine with a Foundation Year. You will receive an introduction to the structure and electronic configuration of the atom. You will learn how to predict the nature of bonding given the position of elements in the periodic table. You will be introduced to the chemistry of key groups of elements. You will become familiar with key measures such as the mole and the determination of concentrations. The module includes laboratory work. No prior knowledge of chemistry is assumed.  CHE3004A  20 
INTRODUCTORY PHYSICS In this module you will begin your physics journey with units, accuracy and measurement. You will then progress through the topics of waves, light and sound, forces and dynamics, energy, materials and finish by studying aspects of electricity. The module has a piece of coursework which is based around PV cell technology.  PHY3011A  20 
INTRODUCTORY PROGRAMMING Introductory Programming introduces a number of programming concepts at the start of your programming career, using a modern programming language common to many digital industries. We structure learning through lectures, delivering core materials, and tutor supported exercises to reinforce learning, and to prepare students for programming in their following studies.  CMP3005A  20 
Students must study the following modules for 120 credits:
Name  Code  Credits 

ALGEBRA 1 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, we consider linear algebra and in the second semester, we move on to group theory. In the first semester, we 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. We 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.  MTHA4006Y  20 
CALCULUS AND MULTIVARIABLE CALCULUS In this module you will study: (a) Complex numbers. (b) Vectors. (c) Differentiation; power series. (d) Integration: applications, curve sketching, area, arclength. (e) First and secondorder, constantcoefficient 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.  MTHA4008Y  30 
COMPUTATION AND MODELLING 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.  MTHA4007Y  20 
MATHEMATICAL SKILLS The unit 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.  MTHA4001A  20 
PROBABILITY 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 decisionmaking. 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 computerlab sessions of (2 hours each) where you will apply probability theory to specific everyday life case studies. The only prerequisites 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 Alevel you will rediscover its contents now taught using a proper and more elegant mathematical formalism.  MTHA4001B  10 
REAL ANALYSIS We 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.  MTHA4003Y  20 
Students must study the following modules for 80 credits:
Name  Code  Credits 

ALGEBRA II The module offers an introduction to vector space theory in the first semester followed by ring theory in the second semester. For vector spaces you will learn about subspaces, basis and dimension, linear maps, ranknullity theorem, change of basis and the characteristic polynomial. This is followed by an introduction to rings using integers as a model. We develop the theory with many examples related to familiar concepts such as substitution and factorisation. Important examples of commutative rings include fields, domains, polynomial rings and their quotients.  MTHA5008Y  20 
COMPLEX ANALYSIS This is a course in analysis. It is an introduction to the classical theory of the complex plain  MTHA5006Y  20 
DIFFERENTIAL EQUATIONS AND APPLIED METHODS (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.  MTHA5004Y  20 
INVISCID FLUID FLOW 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. Vector calculus will cover divergence, gradient, curl of vector field, the Laplacian, scalar potential and pathindependence of line integral, surface integrals, divergence theorem and Stokes' theorem. Computational fluid dynamics will also be studied.  MTHA5007Y  20 
Students will select 20  40 credits from the following modules:
Name  Code  Credits 

COMBINATORICS AND FURTHER LINEAR ALGEBRA 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 CayleyHamilton theorem and the Jordan normal form of a matrix.  MTHF5031Y  20 
MATHEMATICAL MODELLING 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 and using the results to better understand, or make predictions about, the original problem. This topic 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. The topics will include approximation and nondimensionalising, and discussion of how a mathematical model is created. We will then apply this theory to a variety of models such as traffic flow as well as examples of problems arising in industry. We will consider population modelling, chaos, and aerodynamics.  MTHF5032Y  20 
MATHEMATICAL STATISTICS This module 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 hypothesistesting.  CMP5034A  20 
Students will select 0  20 credits from the following modules:
Name  Code  Credits 

APPLIED GEOPHYSICS 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 'stateoftheart' 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.  ENV5004B  20 
DYNAMICS AND VIBRATION 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 Singledegreeoffreedom (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, undercritical and overcritical damping, and transfer function. Introduction to multidegree of freedom (MDOF) systems. Applications to beams and cantilevers. MathCAD will be used to support learning.  ENG5004B  20 
EDUCATIONAL PSYCHOLOGY 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.  EDUB5012A  20 
ELECTROMAGNETISM, OPTICS, RELATIVITY AND QUANTUM MECHANICS 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 and special relativity. The module may be taken by any science students who wish to study physics beyond A Level.  PHY4001Y  20 
INTRODUCTORY MACROECONOMICS 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 policymaking, 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.  ECO4006Y  20 
METEOROLOGY I 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. A reasonable mathematical competence is essential, including basic understanding of differentiation and integration.  ENV5008A  20 
PROGRAMMING FOR NONSPECIALISTS The purpose of this module is to give you a solid grounding in the essential features of programming. The module is designed to meet the needs of the student who has not previously studied programming.  CMP5020B  20 
UNDERSTANDING THE DYNAMIC PLANET 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.  ENV4005A  20 
Students will select 60  120 credits from the following modules:
Name  Code  Credits 

ADVANCED STATISTICS This module covers two topics in statistical theory: Linear and Generalised Linear models and also includes Stochastic processes. The first two topics consider both the theory and practice of statistical model fitting and students will be expected to analyse real data using R. Stochastic processes including the random walk, Markov chains, Poisson processes, and birth and death processes.  CMP6004A  20 
DIFFERENTIAL GEOMETRY This module will give an introduction to ideas of differential geometry. Key examples will be curves and surfaces embedded in 3dimensional 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 tangent spaces and the first and second fundamental forms, Gaussian curvature, and further topics.  MTHE6030A  20 
DYNAMICAL OCEANOGRAPHY The ocean is an important component of the Earth's climate system. This module covers mathematically modelling of the largescale ocean circulation and oceanic wave motion. This module builds upon the techniques in fluid dynamics and differential equations that you developed in year two. 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 largescale circulation of the ocean including the development of oceanic gyres and strong western boundary currents, such as the Gulf Stream. The module concludes by examining the role of waves, both at the sea surface and internal to the ocean. The differences between wave motion at midlatitudes and the Equator are examined, as is the roll of the Equator as a waveguide. The equatorial waves that you will study are intimately linked with the El Nino phenomenon that affects the climate throughout the globe.  MTHE6007B  20 
FINANCIAL MATHEMATICS 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. Introduction to options, futures and the noarbitrage principle. Mathematical models for various types of options are discussed. We consider also Brownian motion, stochastic processes, stochastic calculus and Ito's lemma. The BlackScholes partial differential equation is derived and its connection with diffusion brought out. It is applied and solved in various circumstances.  MTHE6026B  20 
GROUPS AND ALGEBRA This module is about further topics in algebra. It builds on the knowledge obtained on groups, rings and vector spaces in the first two years. Groups can be studied directly, or via objects called algebras (which have the structures of both rings and vector spaces). On the other hand, algebras can also be studied in their own right. Some of these concepts will be explored in this module.  MTHE6033A  20 
NUMBER THEORY Number Theory is the study of arithmetical properties of the integers: properties of, and patterns in, prime numbers, integer solutions of equations with integer coefficients, etc. Gauss called Number Theory "the queen of mathematics" and, following on from work of Fermat and Euler, is responsible for the emergence of Number Theory as a central subject in modern mathematics. Since then, Number Theory has developed in many directions, including Algebraic, Analytic and Probabilistic Number Theory, Diophantine Geometry and has found surprising applications in modern life (notably in Cryptography). In this module, building on first year material on prime factorization and basic congruences, and second year material on groups, rings and fields, you will study various aspects of Number Theory, including certain diophantine equations, polynomial congruences and the famous theorem of Quadratic Reciprocity.  MTHE6035B  20 
PARTIAL DIFFERENTIAL EQUATIONS Partial Differential Equations (PDEs) are ubiquitous in applied mathematics. They arise in many models of physical systems where there is coupling between the variation in space and time, or more than one spatial dimension. Examples include fluid flows, electromagnetism, population dynamics, and the spread of infectious diseases. It is therefore important to understand the theory of PDEs, as well as different analytic and numerical methods for solving them. This module will provide you with an understanding of the different types of PDE, including linear, nonlinear, elliptic, parabolic and hyperbolic; and how these features affect the required boundary conditions and solution techniques. We will study different methods of analytical solution (such as greens functions, boundaryintegral methods, similarity solutions, and characteristics); as well as appropriate numerical methods (with topics such as implicit versus explicit schemes, convergence and stability). Examples and applications will be taken from a variety of fields.  MTHE6034A  20 
QUANTUM MECHANICS This module covers the laws of physics described by quantum mechanics that govern the behaviour of microscopic particles. The module will focus on nonrelativitic quantum mechanics that is described by the Schrodinger equation. Timedependent and timeindependent solutions will be presented in different contexts including an application to the hydrogen atom. Approximation schemes will also be discussed, with particular emphasis on variational principles, WKB approximation.  MTHE6032A  20 
SET THEORY This module is concerned with foundational issues in mathematics and provides the appropriate mathematical framework for discussing 'sizes of infinity'. On the one hand we shall cover concepts such as ordinals, cardinals, and the ZermeloFraenkel 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. Therefore, second year Analysis is a desired prerequisite.  MTHE6003B  20 
WAVES 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 covered. It requires some knowledge of hydrodynamics and multivariable calculus. The module is suitable for those with an interest in Applied Mathematics.  MTHE6031B  20 
Students will select 0  60 credits from the following modules:
Name  Code  Credits 

HISTORY OF MATHEMATICS We will trace the development of mathematics from prehistory to the high cultures of ancient Egypt, Mesopotamia, and the Indus Valley civilisation, through Islamic mathematics, and on to mathematical modernity, through a selection of topics. We trace the rise of calculus and algebra, from the time of Ancient Greek and Indian mathematicians, up to the era of Newton and Leibniz. Other topics are also discussed. We will explore mathematical practice and conceptual developments in different historical and geographical settings.  MTHA6002A  20 
MATHEMATICS PROJECT This module is reserved for students who have completed an appropriate number of Mathematics modules at levels 4 and 5. It is a project on a Mathematical topic supervised by a member of staff within the school, or in a closely related school. The focus of the project is on independent study  you will have the opportunity to undertake research in an area which is interesting to you. You will write an indepth report on your chosen project, in the mathematical typesetting language LaTeX. There will also be a short oral presentation.  MTHA6005Y  20 
MODELLING ENVIRONMENTAL PROCESSES Our aim is to show how environmental problems may be solved from the initial problem, to mathematical formulation and numerical solution. Problems will be described conceptually, then defined mathematically, then solved numerically via computer programming. The module consists of lectures on numerical methods and computing practicals, the practicals being designed to illustrate the solution of problems using the methods covered in lectures. We will guide you through the solution of a model of an environmental process of your own choosing. The skills developed in this module are highly valued by prospective employers.  ENV6004A  20 
THE LEARNING AND TEACHING OF MATHEMATICS The aim of the module is to introduce you to the study of the teaching and learning of mathematics with particular focus to secondary and post compulsory level. In this module, you will explore theories of learning and teaching of mathematical concepts typically included in the secondary and post compulsory curriculum. Also, you will learn about knowledge related to mathematical teaching. If you are interested in mathematics teaching as a career or interested in mathematics education as a research discipline, then this module will equip you with the necessary knowledge and skills.  EDUB6014A  20 
Students will select 0  20 credits from the following modules:
Name  Code  Credits 

APPLIED GEOPHYSICS 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 'stateoftheart' 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.  ENV5004B  20 
CHILDREN, TEACHERS AND MATHEMATICS This module will introduce you to key issues in mathematics education, particularly those that relate to the years of compulsory schooling. Specifically in this module we: Introduce the mathematics curriculum and pupils' perception of, and difficulties with, key mathematical concepts; Discuss public and popular culture perceptions of mathematics, mathematical ability and mathematicians as well as address ways in which these perceptions can be modified; Outline and discuss specific pedagogical actions (focused on challenge and motivation) that can be taken as early as possible during children's schooling and can provide a solid basis for pupils' understanding and appreciation of mathematics. By the end of the module you will be able to gain understanding of key curricular, pedagogical and social issues that relate to the teaching and learning of mathematics, a crucial subject area in the curriculum; Reflect on pedagogical action that aims to address those issues, particularly in the years of compulsory schooling; Be informed and able to consider the potential of pursuing a career in education, either as a teacher, educational professional or researcher in education with particular specialisation in the teaching and learning of mathematics.  EDUB6006A  20 
CLIMATE SYSTEMS What sets the mean global temperature of the world? Why are some parts of the world arid whilst others at the same latitudes are humid? This module aims to provide you with an understanding of the processes that determine why the Earth's climate (defined, for example, by temperature and moisture distribution) looks like it does, what the major circulation patterns and climate zones are and how they arise. You will study why the climate changes in time over different timescales, and how we use this knowledge to understand the climate systems of other planets. This module is aimed at you if you wish to further your knowledge of climate, or want a base for any future study of climate change, such as the Meteorology/Oceanography.  ENV6025B  20 
COMBINATORICS AND FURTHER LINEAR ALGEBRA 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 CayleyHamilton theorem and the Jordan normal form of a matrix.  MTHF5031Y  20 
EDUCATIONAL PSYCHOLOGY 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.  EDUB5012A  20 
FINANCIAL ACCOUNTING What are the rules that dictate how company accounts should be prepared and why do those rules exist? This is the essence of this module. Whilst company directors may wish to present the financial condition of a business in the best possible light, rules have been developed to protect investors and users of the accounts from being misled. You'll develop knowledge and skills in understanding and applying accounting standards when preparing financial statements. You'll also prepare and analyse statements of both individual businesses and groups of companies. Large UK companies report using International Financial Reporting Standards and these are the standards that you'll use. You'll begin by preparing basic financial statements and progress, preparing accounts of increasing complexity by looking at topics including goodwill, leases, cashflow statements, foreign currency transactions, financial instruments and group accounts. You'll also deepen your analytical skills through ratio analysis. You'll learn through a mixture of lectures, seminars and selfstudy, and be assessed by coursework and final examination. On successful completion of this module, you'll have acquired significant technical skills in both the preparation and analysis of financial statements. This will give you a strong basis from which to build should you wish to study advanced financial accounting or are planning on a career in business or accounting.  NBS5002Y  20 
KNOWLEDGE SCIENCE AND PROOF FOR SECOND YEARS Epistemology examines what knowledge is. Science is concerned with the acquisition of secure knowledge, and philosophy of science considers what counts as science, what objects the scientist knows about, and what methods can be used to attain such knowledge; logic uses formal tools to investigate different forms of reasoning deployed to acquire knowledge. You will be given an opportunity to explore a selection of these areas of philosophy, through teaching informed by recent and ongoing research: which ones will be explored on this occasion will be selected in the light of the lecturers' current research interests and their general appeal.  PPLP5175B  20 
MATHEMATICAL MODELLING 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 and using the results to better understand, or make predictions about, the original problem. This topic 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. The topics will include approximation and nondimensionalising, and discussion of how a mathematical model is created. We will then apply this theory to a variety of models such as traffic flow as well as examples of problems arising in industry. We will consider population modelling, chaos, and aerodynamics.  MTHF5032Y  20 
MATHEMATICAL STATISTICS This module 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 hypothesistesting.  CMP5034A  20 
METEOROLOGY I 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. A reasonable mathematical competence is essential, including basic understanding of differentiation and integration.  ENV5008A  20 
OCEAN CIRCULATION This module gives you an understanding of the physical processes occurring in the basinscale ocean environment. We will introduce and discuss large scale global ocean circulation including gyres, boundary currents and the overturning circulation. Major themes include the interaction between ocean and atmosphere, and the forces which drive ocean circulation.  ENV5016B  20 
PROGRAMMING FOR NONSPECIALISTS The purpose of this module is to give you a solid grounding in the essential features of programming. The module is designed to meet the needs of the student who has not previously studied programming.  CMP5020B  20 
SCIENCE COMMUNICATION You will gain an understanding of how science is disseminated to the public and explore the theories surrounding learning and communication. You will investigate science as a culture and how this culture interfaces with the public. Examining case studies in a variety of different scientific areas, alongside looking at how information is released in scientific literature and subsequently picked up by the public press, will give you an understanding of science communication. You will gain an appreciation of how science information can be used to change public perception and how it can sometimes be misinterpreted. You will also learn practical skills by designing, running and evaluating a public outreach event at a school or in a public area. If you wish to take this module you will be required to write a statement of selection. These statements will be assessed and students will be allocated to the module accordingly.  BIO6018Y  20 
SHELF SEA DYNAMICS AND COASTAL PROCESSES The shallow shelf seas that surround the continents are the oceans that we most interact with. They contribute a disproportionate amount to global marine primary production and CO2 drawdown into the ocean, and are important economically through commercial fisheries, offshore oil and gas exploration, and renewable energy developments (e.g. offshore wind farms). You will explore the physical processes that occur in shelf seas and coastal waters, their effect on biological, chemical and sedimentary processes, and how they can be harnessed to generate renewable energy. You will develop new skills during this module that will support careers in the offshore oil and gas industry, renewable energy industry, environmental consultancy, government laboratories (e.g. Cefas) and academia. The level of mathematical ability required to take this module is similar to Ocean Circulation and Meteorology I. You should be familiar with radians, rearranging equations and plotting functions.  ENV5017A  20 
WEATHER APPLICATIONS  ENV5009B  20 
Disclaimer
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 (fiveyearly) 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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Essential Information
Entry Requirements
 A Level CCC. All Science ALevels must include a pass in the practical element.
 International Baccalaureate 28 points.
 Scottish Highers BBCCC.
 Scottish Advanced Highers DDD.
 Irish Leaving Certificate 6 subjects at H4.
 Access Course Pass the Access to HE Diploma with 45 credits at Level 3.
 BTEC MMM.
 European Baccalaureate 60% overall
Entry Requirement
General Studies and Critical Thinking are not accepted.
We welcome applications from students with nontraditional academic backgrounds. If you have been out of study for the last three years and you do not have the entry grades for our three year degree, we will consider your educational and employment history, along with your personal statement and reference to gain a holistic view of your suitability for the course. You will still need to meet our GCSE English Language and Mathematics requirements.
If you are currently studying your level 3 qualifications, we may be able to give you a reduced grade offer based on these circumstances:
• You live in an area with low progression to higher education (we use Polar 4, quintile 1 & 2 data)
• You will be 21 years of age or over at the start of the course
• You have been in care or you are a young full time carer
• You are studying at a school which our Outreach Team are working closely with
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.
Interviews
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.
Intakes
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 Careerrelated 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
This course is open to UK applicants only. Foundation courses for international applicants are run by our partners at INTO.Fees and Funding
Undergraduate University Fees and Financial Support
Tuition Fees
Information on tuition fees can be found here:
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 fulltime 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
Email: admissions@uea.ac.uk
Next Steps
Got a question? Just ask
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:
admissions@uea.ac.uk or
telephone +44 (0)1603 591515