Mathematics is an exciting and challenging subject that plays a central role in many aspects of modern life. When you listen to a CD, watch a weather forecast, use a mobile phone or surf the Internet, you are benefiting from sophisticated mathematical ideas.
Mathematics provides the language and techniques to handle the problems from many disciplines. Mathematics is also studied for its own sake: it has a beauty and structure of its own, built upon thousands of years of invention and discovery.
Mathematics is often demanding but it can also be fun, especially when you are learning in good company. At UEA you will be lectured by, and get to know, world-authorities in many branches of Mathematical research. UEA is a modern institution and we pride ourselves on our friendliness. Students come here from across the UK and from overseas. Their company will enrich your time and studies through firm friendships and lasting attachments.
Many of our graduates go on to successful careers in business and finance and we have recently launched a new degree, Mathematics with Business. Mathematics has a key role to play in many aspects of modern business. The degree programme combines the development of mathematical concepts and advanced techniques with the application of this mathematic expertise to the business world. It is offered in association with Norwich Business School which has a first class reputation for teaching and for the development of professional business skills. This course gives you the opportunity to study with leading experts in both Mathematics and Business, whilst also developing your language and communication skills in a prestigious UK university.
There are a range of statistics options available, particularly relevant to a career in business. Understanding of the underlying theory of statistics gives our graduates a head start in many different fields of business, and recent graduates have become accountants and actuaries.
In the Business component of the programme, various strands of study are possible: Finance, Economics, Management, Accountancy and Actuarial Science. You can choose to focus on one specific field of business study, or to get a good grounding in a wider range of fields.
Mathematics is an exciting and challenging subject that plays a central role in many aspects of modern life. When you listen to a CD, watch a weather forecast, use a mobile phone, or surf the internet, you are benefiting from sophisticated mathematical ideas.
Mathematics provides the language and techniques to handle the problems from many disciplines. Mathematics is also studied for its own sake: it has a beauty and structure of its own, built upon thousands of years of invention and discovery.
Mathematics is often demanding but it can also be fun, especially when you are learning in good company. At UEA you will be lectured by, and get to know, world-authorities in many branches of Mathematics research. UEA is a modern institution and we pride ourselves on our friendliness. Students come here from across the UK and from overseas. Their company will enrich your time and studies through firm friendships and lasting attachments.
The School of Mathematics at UEA is recognised internationally for its strong research and teaching. The School of Mathematics has achieved an excellent performance in each of the last Research Assessment Exercises, dating back to 1996. We have strong research links and collaboration with mathematicians throughout Europe, Israel, Russia, the United States and Australia. Our teaching is highly regarded by our graduating students. In the National Student Survey we have been consistently in the top six mathematics departments in the country.
If you finish your studies with distinction you may want to join our active group of postgraduate students and study for a PhD degree. Research is just one of the wide range of careers open to a mathematician. The span of professions ranges from business communications to flying jets; from modelling and industrial design to interpreting the economy; from charting a business' fortunes to forecasting the weather.
Amongst other things, our graduates finish with a wider critical imagination and a deeper knowledge of our very beautiful subject and its applications. A Mathematics degree will launch you towards many new professional worlds.
This module is incompatible with MTH-1B2Y, ENV-1A61 AND ENV-1A62 (a) Complex numbers. (b) Differentiation and integration. Taylor and MacLaurin series. Applications: curve sketching, areas, arc length. (c) First order, second order constant coefficient ordinary differential equations. Reduction of order. Numerical solutions using MAPLE. Partial derivatives, chain rule. (d) Vectors. (e) Line integrals. Multiple integrals, including change of co-ordinates by Jacobians. Green's theorem in the plane. (f) Euler type and general linear ODEs. Phase plane, direction fields, limit cycles, period doubling and chaos. (g) Divergence, gradient and curl of a vector field. Scalar potential and path independence of line integral. Divergence and Stokes' theorems. Students must have A-level Mathematics Grade ‘B’ or above or equivalent.
This module offers an introduction to business and its environment, providing the necessary background for subsequent honours modules in the business arena. It may also be taken as a stand-alone module by students seeking a general insight into the world of business. It considers a broad range of management disciplines and seeks to introduce skills necessary for future management career pathways.
Linear equations and matrices (including geometric aspects); Determinants. Eigenvalues and eigenvectors, Diagonalization. Vector spaces and linear transformations. Real inner product spaces. Students must have A-level Mathematics Grade 'B' or above or equivalent.
Sequences and series, tests for convergence. Limits, continuity, differentiation, Riemann integration, Fundamental Theorem. Students must have A-level Mathematics Grade 'B' or above or equivalent.
Basic set-theoretic notation, functions. Proof by induction, arithmetic, rationals and irrationals, the Euclidean algorithm. Styles of proof. Elementary set theory. Modular arithmetic, equivalence relations. Countability. Probability as a measurement of uncertainty, statistical experiments and Bayes' theorem. Discrete and continuous distributions. Expectation. Applications of probability: Markov chains, reliability theory. Students must have A-level Mathematics Grade 'B' or above or equivalent.
Compulsory Study (80 credits)
Students must study the following modules for 80 credits:
(a) Vector space, basis and dimension. Linear maps, rank-nullity. Matrices, change of basis, minimal and characteristic polynomial. Diagonalization. Inner product on Rn, Gram-Schmidt process, examples from algebra and analysis. (b) Revision of basic concepts. Cosets, Lagrange's theorem. Normal subgroups and factor groups. First isomorphism theorem. Rings, elementary properties and examples of commutative rings. Ideals, quotient rings. Polynomial rings and construction of finite fields. Unique Factorization in rings.
(a) Continuity, differentiation, uniform convergence, power series and how they represent functions for both real and complex variables. (b) Topology of the complex plane, holomorphic functions, Cauchy-Riemann equations, complex integration, Cauchy and Laurent theorems, residue calculus.
(a) Differential Equations: Fourier series. Partial differential equations (PDEs): diffusion equation, wave equation, Laplace's equation. Solution by separation of variables in Cartesian and polar coordinates. Ordinary differential equations (ODEs): solution by reduction of order and variation of parameters. Series solution and the method of Frobenius. Legendre's and Bessel's equations: Legendre polynomials, Bessel functions and their recurrence relations. (b) Algorithms: An introduction to a variety of numerical methods. Solution of linear algebraic equations. Solution of nonlinear equations. Numerical integration. Numerical Solution of ODEs.
(a) Hydrostatics, compressibility. Kinematics: velocity, particle path, streamlines. Continuity, incompressibility, streamtubes. Dynamics: Material derivative, Euler's equations, vorticity and irrotational flows. Velocity potential and streamfunction. Bernoulli's equation for unsteady flow. Circulation: Kelvin's Theorem, Helmholtz's theorems. Basic water waves. (b) An introduction to continuum physics, linear elasticity as an example. The strain and stress tensors. Conservation of mass, linear momentum, angular momentum. Equilibrium equations, symmetry of stress tensor. Generalised Hooke's law. Bulk, shear and Young's moduli, Poisson's ratio. Strain energy. Boundary-value problems, Bending and torsion of a rod. Plane P and S waves.
Option A Study (20 credits)
Students will select 20 credits from the following modules:
This module encourages the development and understanding of management and the skills of management that will stand the student in good stead for a future career in business and management. A range of key management skills, including ethical judgement, evaluating and controlling, creative problem solving, designing work, influencing culture, leadership, motivating others, managing change, delegating, managing one-to-one relationships, leading groups and influencing. These skills are practiced with underpinning knowledge and theory provided through the lectures. Use is made of a sophisticated, Internet-based, business simulation game set in a high-tech industry to tie together a series of related decisions and outcomes over time. This game gives students experience of the application of new technology for group decision making. Seminars provide the opportunity to put these skills into use by means of interactive exercises and a group project.
This module provides 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. It may be taken as a stand alone course for those students following a more general management pathway or to provide a foundation to underpin subsequent specialist studies in accounting.
The overall aim of this module is for students to develop an understanding of the structure, functioning, and performance of organisations with particular reference to the behaviour of the individuals and groups who work within them. Specifically, the module aims are to: • Develop an appreciation of the nature and historical development of organisational behaviour • Introduce key concepts, theories, and methodologies in organisational behaviour • Develop an understanding of the linkages between OB research, theory, and practice • Develop analytical and academic writing skills
Option B Study (20 credits)
Students will select 20 credits from the following modules:
This module encourages the development and understanding of management and the skills of management that will stand the student in good stead for a future career in business and management. A range of key management skills, including ethical judgement, evaluating and controlling, creative problem solving, designing work, influencing culture, leadership, motivating others, managing change, delegating, managing one-to-one relationships, leading groups and influencing. These skills are practiced with underpinning knowledge and theory provided through the lectures. Use is made of a sophisticated, Internet-based, business simulation game set in a high-tech industry to tie together a series of related decisions and outcomes over time. This game gives students experience of the application of new technology for group decision making. Seminars provide the opportunity to put these skills into use by means of interactive exercises and a group project.
BEFORE TAKING THIS MODULE YOU MUST TAKE MTH-1C17 OR EQUIVALENT 1. Colouring Things: Graphs, Colourings, chromatic numbers, and Ramsey Theory. 2. Counting Things: Binomial coefficients, Inclusion-Exclusion formula, Compositions and partitions.
Cryptography is the science of keeping secrets secret. Throughout history there are numerous examples of use of cryptography. For instance, Caesar himself used to send encrypted messages to his generals using the now-called Caesar cypher. Nowadays, with the development of internet, the need for efficient ways to communicate private data has never been greater._In this course, we will first give a brief account of cryptography through history, we will then introduce some results in number theory which are essential to cryptography and finally, we will study some of the most famous cryptosystems (such as RSA). MTH-1C36 is not a prerequisite or co-requisite but is recommended.
This module provides 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. It may be taken as a stand alone course for those students following a more general management pathway or to provide a foundation to underpin subsequent specialist studies in accounting.
The overall aim of this module is for students to develop an understanding of the structure, functioning, and performance of organisations with particular reference to the behaviour of the individuals and groups who work within them. Specifically, the module aims are to: • Develop an appreciation of the nature and historical development of organisational behaviour • Introduce key concepts, theories, and methodologies in organisational behaviour • Develop an understanding of the linkages between OB research, theory, and practice • Develop analytical and academic writing skills
BEFORE TAKING THIS MODULE YOU MUST TAKE MTH-1C27 OR MTH-1B2Y This module 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 non-dimensionalising, 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.
This module is reserved for students registered in the School of Mathematics only. A second year project on a mathematical topic. Assessment will be by written project and poster presentation.
This module is reserved for students registered in the School of Mathematics only. A second year project on a mathematical topic. Assessment will be by written project and poster presentation.
The motion of very small systems such as atoms does not satisfy the equations of classical mechanics. For example an electron orbiting a nucleus can only have certain discrete energy levels. In quantum mechancis the motion of a particle is described by a wave function which describes the probability of the particle having a certain energy. Topics addressed in this module include: Wave Functions, Schrodinger's Equation, Uncertainty Principle, Wave Scattering, Harmonic Oscillators.
This is a first course in statistics. It introduces the essential ideas of statistics deriving the necessary distribution theory as required. The aim of the course is to discuss the essential concepts in statistics rather than just to give a list of techniques for specific problems. The focus will be on developing ideas in distribution theory and inference based on the likelihood function. In consequence in addition to ideas of sampling and limit laws, it will cover maximum likelihood estimation and inference based on the likelihood ratio. If possible some Bayesian ideas will be introduced. While this course deals with concepts we shall aim to show how these are motivated by real problems More...
Option A Study (80 credits)
Students will select 80 credits from the following modules:
This module covers three topics in statistical theory. For this year they are Regression and Linear Model, Generalised Models and Non-parametric Methods. The first two topics consider both the theory and practice of statistical model fitting and students will be expected to analyse real data. The third topic is chosen to be a contrasting one. Non-parametric methods are a vital part of the statisticians armoury and cheap computing makes such techniques very powerful. We look at the traditional permutation based methods as well as the empirical distribution function. More...
This 20 credit module provides introduction to asymptotic analysis of algebraic equations, ordinary and partial differential equations and integrals. Asymptotic analysis is an important tool in almost all branches of science and engineering. This analysis provides useful but approximate solutions and formulae with an accuracy which is well understood and controllable. The course covers asymptotic expansions, divergent asymptotic series, local approximations, regular and singular perturbations of solutions, asymptotic formulae, Laplace and Fourier integrals, method of strained coordinates, method of multiple scales, matched asymptotic expansions, matching rules.
This course applies fluid dynamics to the study of the circulation of the oceans. Topics studied include: geostrophic flow, Ekman layers, wind driven circulation, western boundary currents (e.g. the Gulf Steam), abyssal circulation, Rossby waves, Kelvin waves, Equatorial dynamics, Southern Ocean dynamics.
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 module leads to a proof of the insolubility of quintic equations. Amongst the topics covered are field extensions, normality and separability. The Galois correspondence and Galois groups. The existence and uniqueness of finite fields and transcendence.
Graphs are among the simplest mathematical structures: sets of points which may or may not be linked by edges. Not surprisingly such structures are fundamental in many parts of science. We give a thorough introduction to the topological, combinatorial and algebraic properties of graphs.
Origins of Counting and Mathematical thinking, the uses and devices of Mathematics in early civilisations. Mathematics as pillar of Greek culture, philosophy and science with particular reference to work of Euclid, Archimedes and Apollonius. The decline of Mathematics in the Dark and Middle Ages with reawakening of interest in Europe through applications in Astronomy, Navigation, Art and Commerce. The Scientific Revolution, the work of Isaac Newton, the conceptual development and logical formulation of the Calculus. The postmodern approach to Algebra and Geometry in the early 19th Century, the concept of Relativity. Students will need some mathematical knowledge to attempt the module.
This module will be assessed by 100% examination, but you may also be informally assessed by coursework and/or project. The module will begin with a topic that occupied the ancient Greeks and continues to occupy us today, namely the study of Diophantine equations. After discovering some algebraic techniques to solve these equations, we will proceed to the study of elliptic curves. The viewpoint here is one of combining geometry and algebra to study equations. The course will end with an introduction to the Riemann zeta function and the Riemann hypothesis. The latter is one of the oldest unsolved problems in mathematics, and is worth a million dollars!
In principle, the laws of classical and quantum mechanics provide a complete description to allow us to predict the microscopic state of a system. However, for a large class of systems consisting of many degrees of freedom (e.g. molecules in a gas), it is completely impractical nor even necessary to adopt such a detailed description. Rather, it is typically sufficient to seek a macroscopic formulation that is related to the microscopic properties of the problem. This is what we commonly do, for example, when modelling the dynamics of fluids as functions of the macroscopic variables such as pressure, temperature, and density. The course will begin by using very elementary concepts of probability theory to derive macroscopic thermodynamic properties such as temperature from the microscopic properties of individual atoms or molecules. At very low temperatures, quantum effects begin to play an important role. By extending our analysis to such systems, we are able to predict the existence of a new state of matter known as a Bose-Einstein condensate which was first produced in the Laboratory as recently as 1995. The tools of statistical mechanics are useful in many branches of applied mathematics. While the module is self-contained, it is strongly recommended that students also take MTH-2G50 which will reinforce a number of the concepts used here.
Option B Study (20 credits)
Students will select 20 credits from the following modules:
This introductory module for non-accounting specialists emphasises the use and interpretation of accounting data in a corporate environment. Concepts of cost, profit, cashflow and the time value of money will be introduced and their usefulness in the context of business decision making critically examined. The aim of this module is to present an introduction to financial and management accounting and the types of information which each provides (and does not provide). It introduces basic accounting concepts and procedures used in the preparation of accounting statements to enable the interpretation of the performance of the organisation. The module also aims to introduce some of the techniques used in management accounting so as to develop an appreciation of its role in organisational planning, control, decision making and performance evaluation. No prior knowledge of accounting is assumed. NOTE - THIS MODULE IS NOT NORMALLY AVAILABLE TO STUDENTS WHO HAVE PREVIOUSLY STUDIED EITHER NBS-1A1Y (Introduction to Financial Reporting), or NBS-1F1Y (Accounting for Management Decisions), or NBS-1A2Y (Introduction to Financial and Management Accounting).
This module provides an introduction to contract and company law. It is designed primarily for students on Accounting related degrees who intend to pursue a career in the accountancy profession. The module should also be of interest to students contemplating a career in business or commerce.
The module critically examines contemporary financial issues from a business perspective. This is achieved through the linking of theoretical explanations of financial debates and phenomenon to real and applied business examples. This programme of study is directed towards developing consistent frameworks from which financial decisions may be made. Further it is proposed that such decisions may be undertaken and justified in light of their alternatives and implications for risk, return, firm strategy and the operating environment.
This module encourages the development and understanding of management and the skills of management that will stand the student in good stead for a future career in business and management. A range of key management skills, including ethical judgement, evaluating and controlling, creative problem solving, designing work, influencing culture, leadership, motivating others, managing change, delegating, managing one-to-one relationships, leading groups and influencing. These skills are practiced with underpinning knowledge and theory provided through the lectures. Use is made of a sophisticated, Internet-based, business simulation game set in a high-tech industry to tie together a series of related decisions and outcomes over time. This game gives students experience of the application of new technology for group decision making. Seminars provide the opportunity to put these skills into use by means of interactive exercises and a group project.
The general aim of the module is to study the theory and practice of financial accounting and reporting. This includes an examination of current and legal professional requirements as they relate to limited liability companies in the UK. Some international issues, for example in relation to the US and the European Union, are also considered.
Students who successfuly complete this module will be able to demonstrate an understanding and critical awareness of the importance of people resourcing, and performance management in creating employees who are "thinking performers" demonstrating high commitment through their "organisational citizenship". As such, this module provides the knowledge required to understand the organisational importance of creating a performance management culture aligned to the strategic business objectives. Such a "contributor culture" is one where employees add organisational value through their flexibility and willingness to make a positive difference in the workplace. Apposite and effective HRM practice is thus a critical strategic tool in businesses gaining sustainable competitive advantage; one that is becoming increasingly important in the labour market's "War for Talent". Further, the module affords the opportunity for students to develop apposite skills associated with human resource management practice.
This module deals with the key operations strategy and operational management functions in a work setting. The core theme is the relevant knowledge and management skills necessary to effectively and efficiently develop strategies for the delivery of high quality services and/or goods in complex and dynamic environments. Students will examine the strategic importance of operations, the core input, transformation and output functions of any business and management situation, and the latest international strategic developments across numerous commercial sectors and organisations.
This module is concerned with the marketing function of an organisation. It seeks to develop awareness and understanding of marketing as an integrated business activity and focuses on the framework of theory which underpins an organisation's responses to market demand. In addition it considers examples of marketing programmes for a variety of organisational contexts. It is suitable for all UEA students and is a stand-alone module.
Free Choice Study (20 credits)
Students will select modules worth 20 credits from the course catalogue with the approval of their School
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 (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. Where this is the case, the University will endeavour to inform students.
Entry Requirements
A Level:
AAB (A in Mathematics) or ABB (A in Mathematics, B in Further Mathematics)
International Baccalaureate:
33 points overall including 6 in Higher Level Maths
Scottish Highers:
AAAB including grade A in Advanced Higher Mathematics
Scottish Advanced Highers:
AAB including grade A in Mathematics
Irish Leaving Certificate:
AAAABB including grade A in Mathematics
Access Course:
See below
European Baccalaureate:
80% overall including 80% in Mathematics
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). Recognised English Language qualifications include:
IELTS: 6. overall (minimum 5.5 in any component)
TOEFL: Internet-based score of 78 overall (minimum 20 in Speaking component, 17 in Writing and Listening components and 18 in Reading components.
PTE: 55 overall (minimum 51 in any component).
If you do not meet the University's entry requirements, our INTO Language Learning Centre offers a range of university preparation courses to help you develop the high level of academic and English skills necessary for successful undergraduate study.
Interviews
The majority of candidates will not be called for an interview. However, for some students an interview will be requested. These are normally quite informal and generally cover topics such as your current studies, reasons for choosing the course and your personal interests and extra-curricular activities.
Gap Year
We welcome applications from students who have already taken or intend to take a gap year, believing 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 may wish to contact the appropriate Admissions Office directly to discuss this further.
Special Entry Requirements
Critical Thinking and General Studies are not accepted.
Intakes
The School's annual intake is in September of each year.
Alternative Qualifications
We encourage you to apply if you have alternative qualifications equivalent to our stated entry requirement. Please contact us for further information.
Pass the Access to HE Diploma with Distinction in 45 credits at Level 3, including 12 Level 3 Maths credits.
GCSE Offer
Students are required to have Mathematics and English at minimum of Grade C or above at GCSE Level.
Fees and Funding
Undergraduate University Fees
We are committed to ensuring that Tuition Fees 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. Full time UK/EU students starting an undergraduate degree course in 2013 will be charged a tuition fee of £9,000. The level of fee may be subject to yearly increases. Full time International students starting an undergraduate degree course in 2013 will be charged a tuition fee of £14,400. The level of fee may be subject to yearly increases.
The Maths with Business course have 1 £3,000 year one scholarship available for 2013 entry. The Scholarship deadline is 15th January 2013. Please contact the Admissions office at mth.ug.admiss@uea.ac.uk for more information.
The University offers around £1 million of Scholarships each year to support International students in their studies. Scholarships are normally awarded to students on the basis of academic merit and are usually for the duration of the period of study. Our University international pages gives you more details about preparation for studying with us, including Fees and Funding http://www.uea.ac.uk/international
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: