# BSc Mathematics with Business

- UCAS Course Code
- G1N1
- A-Level typical
- AAB (2017/8 entry) See All Requirements

## About this course

Studying with us means that you will benefit from internationally recognised, research-led teaching from both the School of Mathematics and the Norwich Business School, ensuring you graduate with a deep understanding of mathematics and the role it plays in contemporary business.

Your lectures are complimented with small group teaching providing you with quality contact time with our world class lecturers, while learning through first-hand experience. We were ranked 7th in the UK for the quality of our research output (REF 2014) which means that you will learn in the most up-to-date environment. This course is designed so that you can choose to either focus on one specific area of business studies, or a wider range of fields.

Your lectures are complimented with small group teaching providing you with quality contact time with our world class lecturers, while learning through first-hand experience. We were ranked 7th in the UK for the quality of our research output (REF 2014) which means that you will learn in the most up-to-date environment. This course is designed so that you can choose to either focus on one specific area of business studies, or a wider range of fields.

## Course Profile

### Overview

Mathematics is an exciting and challenging subject that plays a central role in many aspects of modern life; it provides the language and techniques to handle the problems from many disciplines. Mathematics is also studied for its own sake, with a structure built upon thousands of years of invention and discovery.

Mathematics has a key role to play in many aspects of modern business. This degree programme combines the development of mathematical concepts and advanced techniques with mathematical expertise relating to the business world. It is offered in association with Norwich Business School, which has an excellent 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 developing your language and communication skills.

You will have the opportunity to study a wide variety of business-related components, including modules such as Finance, Economics, Management, Accountancy and Actuarial Science. The flexibility of our degree programme means that you can choose to focus on one specific field of business study or pursue a wider range of subjects, according to your own interests.

Through this degree programme you will develop an understanding of the underlying theory of statistics, which will give you a head start in many different fields of business. Some of our recent graduates have decided to pursue careers in accountancy and as actuaries.

### Course Structure

This three-year degree programme is designed to allow you to attain the same grounding in essential mathematics and statistics as a BSc Mathematics student, through a similar range of module choices. However, on this course you also have the opportunity to undertake business modules offered by Norwich Business School and so create your own unique degree pathway. Some students opt to study a range of fields within business, while others choose to specialise along specific threads, such as accounting and finance, business law or economics.

**Year 1**

In your first year you will study principles of algebra and calculus in addition to computing and probability. You will also take an Introduction to Business module.

**Year 2**

Core modules in mathematics are compulsory in the second year, as they prepare you for any of the mathematics modules in your forthcoming final year. In addition you will choose from a wide variety of business modules.

**Year 3**

In your final year of the programme there are no compulsory modules, and you are free to choose from a range of both mathematical and business modules, allowing you to specialise in a certain area or broaden your interests.

### Assessment

Several assessment methods are used in different modules, ranging from 100% coursework to 100% examination. Most mathematics modules are assessed 80% by examination and 20% by coursework. The coursework component is made up of problems set from an example sheet, to be handed in, marked and returned together with solutions. For some modules there are also programming assignments and/or class tests. The modules you choose from the Norwich Business School are also assessed in a range of different ways, appropriate to the particular topic.

### Course Modules

Students must study the following modules for 120 credits:

Name | Code | Credits |
---|---|---|

CALCULUS AND MULTIVARIABLE CALCULUS IN TAKING THIS MODULE YOU CANNOT TAKE ENV-4015Y OR TAKE MTHB4006Y (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. (g) Divergence, gradient and curl of a vector field. Scalar potential and path independence of line integral. Divergence and Stokes' theorems. (h) Introduction to Matlab | MTHA4005Y | 40 |

INTRODUCTION TO BUSINESS (2) Introduction to Business is organised in thematic units across semesters 1 and 2, aiming to provide a platform for understanding the world of management and the managerial role. The module explores the business environment, key environmental drivers and functions of organisations, providing an up-to-date view of current issues faced from every contemporary enterprise such as business sustainability, corporate responsibility and internationalisation. There is consideration of how organisations are managed in response to environmental drivers. To address this aspect, this module introduces key theoretical principles in lectures and seminars are designed to facilitate fundamental study skills development, teamwork and practical application of theory. By the end of this module, students will be able to understand and apply key concepts and analytical tools in exploring the business environment and industry structure respectively. This module is for NON-NBS students only. | NBS-4008Y | 20 |

LINEAR ALGEBRA Linear equations and matrices (including geometric aspects); Determinants. Eigenvalues and eigenvectors, Diagonalization. Vector spaces and linear transformations. | MTHA4002Y | 20 |

REAL ANALYSIS Sequences and series, tests for convergence. Limits, continuity, differentiation, Riemann integration, Fundamental Theorem. | MTHA4003Y | 20 |

SETS, NUMBERS AND PROBABILITY 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. | MTHA4001Y | 20 |

Students must study the following modules for 80 credits:

Name | Code | Credits |
---|---|---|

ALGEBRA (a) Group theory: basic concepts and examples. Cosets, Lagrange's theorem. Normal subgroups and quotient groups. First isomorphism theorem. Quotient spaces in linear algebra. (b) Rings, elementary properties and examples of commutative rings. Ideals, quotient rings. Polynomial rings and construction of finite fields. Unique Factorization in rings. Applications in linear algebra. | MTHA5003Y | 20 |

ANALYSIS This module covers the standard basic theory of the complex plane. The areas covered in the first semester, (a), and the second semester, (b), are roughly the following: (a) Continuity, power series and how they represent functions for both real and complex variables, differentiation, holomorphic functions, Cauchy-Riemann equations, Moebius transformations. (b) Topology of the complex plane, complex integration, Cauchy and Laurent theorems, residue calculus. | MTHA5001Y | 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 |

FLUID DYNAMICS - THEORY AND COMPUTATION (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) Computational methods for fluid dynamics; Euler's method and Runge-Kutta methods and their use for computing particle paths and streamlines in a variety of two-dimensional and three-dimensional flows; numerical computation and flow visualisation using Matlab; convergence, consistency and stability of numerical integration methods for ODEs. (c) Theory of Irrotational and Incompressible Flows: velocity potential, Laplace's Equation, sources and vortices, complex potential. Force on a body and the Blasius theorem. Method of images and conformal mappings. | MTHA5002Y | 20 |

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

Name | Code | Credits |
---|---|---|

INTRODUCTION TO FINANCIAL AND MANAGEMENT ACCOUNTING 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 standalone course for those students following a more general management pathway or to provide a foundation to underpin subsequent specialist studies in accounting. This module is for NBS students only. | NBS-4001Y | 20 |

INTRODUCTION TO ORGANISATIONAL BEHAVIOUR 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 (OB). # 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. This module is for NBS students only. | NBS-4005Y | 20 |

PRINCIPLES OF MARKETING This module is a general introduction and foundational grounding to Marketing. It is concerned with marketing functions of an organisation and seeks to develop awareness and understanding of marketing as an integrated business activity. It focuses on the theoretical frameworks which underpin an organisation's responses to market demand. Additionally, it considers examples of marketing programmes for a variety of organisational contexts to provide an industry perspective to theory. It is suitable for all UEA students and is a standalone module. | NBS-4006Y | 20 |

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

f you wish to select one MTH topic in Autumn (A: Combinatorics, or B: Quantum Mechanics) and one in the Spring (C: Boolean Algebras, Measures, Probabilities or D: Mathematical Modelling) then you should select MTHF5027Y (20 credits).

Name | Code | Credits |
---|---|---|

BOOLEAN ALGEBRAS, MEASURES, PROBABILITIES AND MATHEMATICAL MODELLING This module is an optional Spring module. It covers two topics: C: Boolean algebras, measures and probabilities, and D: Mathematical Modelling. Topic C: Boolean algebras, measures and probabilities This topic will consider the notion of a measure and discuss its connection with integration. We shall discuss Riemann integration versus Jordan measure and Lebesgue integral versus Lebesgue integration. This will lead us to the idea of Boolean algebras, and in particular measure algebras. Probabilities are just a special kind of measures, so we shall also discuss them. Clearly, integration plays a central role in mathematics and physics. One encounters integrals in the notions of area or volume, when solving a differential equation, in the fundamental theorem of calculus, in Stokes' theorem, or in classical and quantum mechanics. The first year analysis module includes an introduction to the Riemann integral, which is satisfactory for many applications. However, it has certain disadvantages, in that some very basic functions are not Riemann integrable, that the pointwise limit of a sequence of Riemann integrable functions need not be Riemann integrable, etc. We introduce Lebesgue integration, which does not suffer from these drawbacks and agrees with the Riemann integral whenever the latter is defined. Topic D: Mathematical Modelling: Mathematical modelling is concerned with how to convert real problems, 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 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. | MTHF5026B | 20 |

COMBINATORICS AND QUANTUM MECHANICS This module is an optional Autumn module. It covers two topics: A: Combinatorics and B: Quantum Mechanics. Topic A: Combinatorics: The topic is about Counting Things. We will cover: binomial coefficients, the inclusion-exclusion principle, compositions, the pigeonhole principle and Ramsey Theory. Topic B: Quantum mechanics: 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 mechanics 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. In classical mechanics, a physical system is described in terms of particles moving with a particular linear momentum. Other phenomena such as the transmission of light are described in terms of the propagation of electromagnetic waves. In the 20th century it became clear that some physical observations can not be explained in such terms - for example the formation of fringe patterns due to the scattering of light through two slits. The concept of a photon having both particle and wave-like properties is at the heart of Quantum Mechanics. In this unit the emphasis is on detailed mathematical study of simplified model systems rather than broad descriptions of quantum phenomena. The main mathematical topics from Year One mathematics modules that this module builds on are differential equations and vector calculus (definitions of grad etc). | MTHF5025A | 20 |

INFORMATION SYSTEMS FOR MANAGEMENT The module explores the ways in which organizations acquire, implement, and manage modern Information Systems. Important topical applications of Information Systems are explained, including Enterprise Resource Planning, E-business, Mobile Commerce, Change Management, Information Systems Development and Sustainable Technologies. The impacts of these technologies on the ways that businesses operate and interact with one another and with their customers are analysed. The module addresses the changing role of information systems and technology in modern organisations. In particular, it examines the multiple roles and uses of information in organisations. Thus, its emphasis is on the 'I' in IT (the information), not on the 'T' (the technology). | NBS-5003Y | 20 |

MATHEMATICAL STATISTICS It introduces the essential concepts of mathematical statistics deriving the necessary distribution theory as required. In consequence in addition to ideas of sampling and central limit theorem, it will cover estimation methods and hypothesis-testing. Some Bayesian ideas will be also introduced. | CMP-5034A | 20 |

MATHEMATICS PROJECT NOT COMPATIBLE WITH MTHA6005Y. This module is reserved for second-year students registered in the School of Mathematics only. It is a second year project on a mathematical topic supervised by a member of staff within the School. Assessment will be by written project and poster presentation. | MTHA5005Y | 20 |

SELECTED TOPICS IN MATHEMATICS This module is an optional Year long module. It covers two topics, one in Autumn Semester (chosen between A: Combinatorics and B: Quantum mechanics), one in Spring semester (chosen between C: Boolean algebras, measures and probabilities, and D:Mathematical Modelling). Topic A: Combinatorics: The topic is about Counting Things. We will cover: binomial coefficients, the inclusion-exclusion principle, compositions, the pigeonhole principle and Ramsey Theory. Topic B: Quantum mechanics: 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 mechanics 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. In classical mechanics, a physical system is described in terms of particles moving with a particular linear momentum. Other phenomena such as the transmission of light are described in terms of the propagation of electromagnetic waves. In the 20th century it became clear that some physical observations can not be explained in such terms - for example the formation of fringe patterns due to the scattering of light through two slits. The concept of a photon having both particle and wave-like properties is at the heart of Quantum Mechanics. In this unit the emphasis is on detailed mathematical study of simplified model systems rather than broad descriptions of quantum phenomena. The main mathematical topics from Year One mathematics modules that this module builds on are differential equations and vector calculus (definitions of grad etc). Topic C: Boolean algebras, measures and probabilities This topic will consider the notion of a measure and discuss its connection with integration. We shall discuss Riemann integration versus Jordan measure and Lebesgue integral versus Lebesgue integration. This will lead us to the idea of Boolean algebras, and in particular measure algebras. Probabilities are just a special kind of measures, so we shall also discuss them. Clearly, integration plays a central role in mathematics and physics. One encounters integrals in the notions of area or volume, when solving a differential equation, in the fundamental theorem of calculus, in Stokes' theorem, or in classical and quantum mechanics. The first year analysis module includes an introduction to the Riemann integral, which is satisfactory for many applications. However, it has certain disadvantages, in that some very basic functions are not Riemann integrable, that the pointwise limit of a sequence of Riemann integrable functions need not be Riemann integrable, etc. We introduce Lebesgue integration, which does not suffer from these drawbacks and agrees with the Riemann integral whenever the latter is defined. Topic D: Mathematical Modelling: Mathematical modelling is concerned with how to convert real problems, 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 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. | MTHF5027Y | 20 |

Students will select 80 credits from the following modules:

Name | Code | Credits |
---|---|---|

DYNAMICAL OCEANOGRAPHY This level 6 module covers modelling the large scale ocean circulation and structure, internal waves and coastal flows. The mathematical modelling of the oceans in this module provides a demonstration of how the techniques developed in second year modules on fluid dynamics and differential equations can be used to explain some interesting phenomena in the real physical world. The module begins with a discussion of the effects of rotation in fluid flows. The dynamics of large scale ocean circulation is discussed including the development of ocean gyres and strong western boundary currents. The thermal structure associated with these flows is examined. These large scale currents are responsible for the variation in climate between land on the eastern and western side of major ocean basins. The dynamics of equatorial waves are examined. Such waves are intimately linked with the El Nino phenomena which 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 no-arbitrage principle. Mathematical models for various types of options are discussed. We consider also 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. | MTHE6026A | 20 |

GALOIS THEORY Introduction: This module is an introduction to Galois Theory, which beautifully brings together the notions of a group and of a field. In particular, the ideas developed will be applied to looking at the question of solving polynomial equations. Overview: Galois theory is one of the most spectacular mathematical theories. It gives a beautiful connection between the theory of polynomial equations and group theory. In fact, many fundamental notions of group theory originated in the work of Galois. For example, why are some groups called "solvable"? Because they correspond to the equations which can be solved (by some formula based on the coefficients and involving algebraic operations and extracting roots of various degrees). Galois theory explains why we can solve quadratic, cubic and quartic equations, but no similar formulae exist for equations of degree greater than 4. In modern exposition, Galois theory deals with "field extensions", and the central topic is the "Galois correspondence" between extensions and groups. | MTHE6004A | 20 |

HISTORY OF MATHEMATICS We trace the development of Arithmetic and Algebra from the high cultures of the Egyptian Middle Kingdom and Mesopotamia (1600BC) through Islamic mathematics and early algebra and on to the beginnings of mathematical modernity in the work of Galois in the 1830's. We present the rise of the Calculus from the first work of Archimedes and Apollonius around 200BC onwards, to trace ideas on differentiation and integration through to the time of Newton and Leibniz in the early 18th century. We explore mathematical logic, the ideas of propositions, logical methods in the axiomatisation of mathematics, and the idea of quantifiers. Of special interest is interplay between the development of logic and the development of mathematics, including theoretical computing. We discuss the Hilbert programme, first order logic, and the completeness and incompleteness theorems of Goedel, undecidability and independence. Our style will be to explore mathematical practice and conceptual developments in different historical contexts. | MTHA6002B | 20 |

INTRODUCTION TO NUMERICAL ANALYSIS This is an introductory course in numerical analysis which will cover approximating a function and it's derivative numerically. Further topics will include the numerical solution to boundary and initial value problems, numerical integration and nonlinear equations. | MTHE6012B | 20 |

LINEAR ALGEBRA AND APPLICATIONS This course is about a central subject in mathematics. It aims to develop the theory (Part A) and computational implementations of Linear Algebra (Part B). Topics include A1: Review of basis, linear map, matrix of linear map, change of basis; A2: Bilinear forms, adjoint of a map, self-adjoint maps, diagonalization, spectral theorem; A3: Polynomials of linear maps, characteristic and minimal polynomial, triangularization, Cayley-Hamilton theorem, normal forms; B1: Orthogonality: Representation through projections in computational approximations; B2: Matrix norms and condition number. Computational matrix inversion; B3: Basic finite element methods for ODEs and the Fast Fourier Transform. | MTHA6003A | 20 |

MATHEMATICS PROJECT Not compatible with MTHA5005Y. This module is reserved for third year 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. Assessment will be by written project and oral presentation. | MTHA6005Y | 20 |

QUIVERS AND REPRESENTATIONS This module is about representation of associative algebras over fields. Algebras, and their representations, will be studied using quivers, which are dots with arrows between them. The emphasis will be on noncommutative, finite-dimensional algebras. A key topic will be understanding extensions of modules. | MTHD6026B | 20 |

SEMIGROUP THEORY Introduction: This module is an introduction 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. Overview: This course is concerned with the study of 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). This course 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. | MTHE6011A | 20 |

SET THEORY Introduction: This unit 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 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. Therefore, second year Analysis is a desired prerequisite. Overview: Set theory plays a dual role in mathematics. It provides a manageable foundation to mathematics and it is itself a sophisticated area of mathematics. The foundational role of set theory consists in providing a reasonable set of assumptions (axioms) which enable us to construct most mathematical objects, and from which most mathematics can be derived by proving theorems based on these axioms. We will discuss this system of axioms, known as ZFC (Zermelo-Fraenkel Axioms with the Axiom of Choice), and will demonstrate how it can be used to build the foundations of mathematics. We will discuss some background foundational issues, including Godel's Incompleteness Theorems and the notion of consistency (these issues will be discussed without proofs), and will discuss some alternatives to ZFC. We will give a complete development of the general theory of ordinals and, along with it, we will introduce the methods of transfinite induction and recursion. Armed with these tools, we shall see how set theory provides the right framework for studying infinite sets. Examples of such sets are the set of all natural numbers, the set of all rationals, and the set of all real numbers. It turns out that there is a very natural way to assign a notion of size to such sets, providing us with more information than just 'infinite'. According to this notion (cardinality), the first two of the above sets have the same size, which is strictly smaller than that of the third. We will construct concrete examples of infinite objects in mathematics, such as infinite graphs, almost disjoint families, topological spaces, and groups, and will study some of their properties. Finally, if we have time we will briefly discuss the limitations of ZFC as well as criteria for extending ZFC in a sensible way. . | MTHE6003B | 20 |

THEORY OF WATER WAVES This course provides an introduction to the theory of water waves. It requires some knowledge of hydrodynamics and multivariable calculus. The unit is suitable for those with an interest in Applied Mathematics. Overview: Free surface problems occur in many aspects of science and everyday life. Examples of free surface problems are waves on a beach, bubbles rising in a glass of champagne and a liquid jet flowing from a tap. In these examples the free surface is the surface of the sea, the interface between the gas and the champagne and the boundary of the falling jet. We will study aspects of linear and nonlinear water waves using analytical techniques | MTHE6014A | 20 |

Students will select 20 credits from the following modules:

Name | Code | Credits |
---|---|---|

BUSINESS AND COMPANY LAW This module is highly vocational and primarily designed for students taking accounting and related degrees, who wish to satisfy the curriculum requirements of the accounting profession, as having a foundation in aspects of English business and company law. The module covers in particular detail the Law of Contract and Company Law but also a wide variety of other subject areas, including the English Legal System, Partnership and Agency Law, Law of Torts, Criminal Law, Data Protection Law and Employment Law. | NBS-5004Y | 20 |

BUSINESS FINANCE This module sets out the basic principles of financial management and applies them to the main decisions faced by the financial manager. For example, it explains why the firm's owners would like the manager to increase firm value and shows how managers choose between investments that may pay off at different points of time or have different degrees of risk. Moreover, it discusses how companies raise the necessary funds to pay for these investments and why they might prefer a particular source of finance. Overall, this module presents the tools of modern financial management in a consistent conceptual framework. | NBS-5008Y | 20 |

DIGITAL MARKETING AND THE SERVICE ECONOMY This module advances the students' understanding of strategic marketing by focusing on digital and service marketing. While strategy is about planning, developing and continuously creating the firm's future to ensure sustainable competitive advantage, today's firm must learn to adapt its marketing activities and ground its understanding in the reality of its chosen markets. This module draws on digital marketing and service theories by highlighting different models, case studies and industry experience. It proposes to develop strategic thinking for marketers in a highly challenging technological world, and to help lead firms in facing future challenges in a more connected economy. | NBS-5013Y | 20 |

FINANCIAL ACCOUNTING This module is about 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. Large UK companies report using International Financial Reporting Standards and therefore international reporting issues are considered. | NBS-5002Y | 20 |

HUMAN RESOURCE MANAGEMENT This module builds on what students have learnt about managing people in organisational behaviour (NBS-4005Y). It introduces the topic of HRM and raises awareness of how the HR function can contribute to the business in providing competitive advantage. It will cover the knowledge, understanding and skills needed to be an effective people manager but will also help prepare students for a career in HR. The module provides a good grounding in the key areas of managing human resources including employee resourcing; managing the employment relationship and managing employee performance. | NBS-5011Y | 20 |

OPERATIONS STRATEGY AND MANAGEMENT This module is about operations management, which is a functional field of management encompassing the design and improvement of the processes and systems employed in the creation and delivery of an organisation's products and services. Essentially, operations management is concerned with explaining how manufacturing and service organizations work. Managing operations well requires both strategic and tactical skills and is critical to every type of organisation, for it is only through effective and efficient utilization of resources that an organization can be successful in the long run. | NBS-5010Y | 20 |

Students will select 20 credits from the following modules:

Name | Code | Credits |
---|---|---|

CONSUMER BEHAVIOUR This module develops and expands knowledge, understanding, and awareness of consumer behaviour and the multiple influences that shape the role of a consumer in a market society. Drawing on a wide range of multidisciplinary theoretical perspectives from social sciences and beyond, the module explores the complexity of consumer behaviour in individual, collective, social, and organisational settings and it's far reaching implications in society for individuals, markets, businesses, organisations, and the government. The module challenges conventional ideas about consumer, consumption, market structures, and market society and opens up horizons about how the economy and society can respond to such behaviours. | NBS-6008Y | 20 |

CORPORATE SUSTAINABILITY This module reviews the challenges, solutions and opportunities faced by businesses relating to environmental and energy issues. | NBS-6005Y | 20 |

DYNAMICAL OCEANOGRAPHY This level 6 module covers modelling the large scale ocean circulation and structure, internal waves and coastal flows. The mathematical modelling of the oceans in this module provides a demonstration of how the techniques developed in second year modules on fluid dynamics and differential equations can be used to explain some interesting phenomena in the real physical world. The module begins with a discussion of the effects of rotation in fluid flows. The dynamics of large scale ocean circulation is discussed including the development of ocean gyres and strong western boundary currents. The thermal structure associated with these flows is examined. These large scale currents are responsible for the variation in climate between land on the eastern and western side of major ocean basins. The dynamics of equatorial waves are examined. Such waves are intimately linked with the El Nino phenomena which affects the climate throughout the globe. | MTHE6007B | 20 |

ENTREPRENEURSHIP AND SMALL BUSINESS MANAGEMENT This module aims to provide students with knowledge of the significance of entrepreneurship and the small business sector within the economy, and research-led understanding of the factors that affect the small business birth, growth, success and failure | NBS-6010Y | 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 no-arbitrage principle. Mathematical models for various types of options are discussed. We consider also 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. | MTHE6026A | 20 |

GALOIS THEORY Introduction: This module is an introduction to Galois Theory, which beautifully brings together the notions of a group and of a field. In particular, the ideas developed will be applied to looking at the question of solving polynomial equations. Overview: Galois theory is one of the most spectacular mathematical theories. It gives a beautiful connection between the theory of polynomial equations and group theory. In fact, many fundamental notions of group theory originated in the work of Galois. For example, why are some groups called "solvable"? Because they correspond to the equations which can be solved (by some formula based on the coefficients and involving algebraic operations and extracting roots of various degrees). Galois theory explains why we can solve quadratic, cubic and quartic equations, but no similar formulae exist for equations of degree greater than 4. In modern exposition, Galois theory deals with "field extensions", and the central topic is the "Galois correspondence" between extensions and groups. | MTHE6004A | 20 |

INTRODUCTION TO NUMERICAL ANALYSIS This is an introductory course in numerical analysis which will cover approximating a function and it's derivative numerically. Further topics will include the numerical solution to boundary and initial value problems, numerical integration and nonlinear equations. | MTHE6012B | 20 |

LINEAR ALGEBRA AND APPLICATIONS This course is about a central subject in mathematics. It aims to develop the theory (Part A) and computational implementations of Linear Algebra (Part B). Topics include A1: Review of basis, linear map, matrix of linear map, change of basis; A2: Bilinear forms, adjoint of a map, self-adjoint maps, diagonalization, spectral theorem; A3: Polynomials of linear maps, characteristic and minimal polynomial, triangularization, Cayley-Hamilton theorem, normal forms; B1: Orthogonality: Representation through projections in computational approximations; B2: Matrix norms and condition number. Computational matrix inversion; B3: Basic finite element methods for ODEs and the Fast Fourier Transform. | MTHA6003A | 20 |

MARKETING: SOCIAL RESPONSIBILITY AND THE LAW This multi-disciplinary module examines socially irresponsible marketing practices by governments and businesses, taking national and international perspectives, and looks at the effect on the public, consumers and other businesses. Students successfully completing this module will demonstrate an understanding and awareness of the impact of marketing decisions on consumers, businesses and the wider society. This unit will provide them with greater knowledge and awareness of the legal and regulatory frameworks which affect marketing practice, and equip them with the skills to formulate their own marketing decisions and to know when expert legal advice is required. | NBS-6011Y | 20 |

QUIVERS AND REPRESENTATIONS This module is about representation of associative algebras over fields. Algebras, and their representations, will be studied using quivers, which are dots with arrows between them. The emphasis will be on noncommutative, finite-dimensional algebras. A key topic will be understanding extensions of modules. | MTHD6026B | 20 |

SEMIGROUP THEORY Introduction: This module is an introduction 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. Overview: This course is concerned with the study of 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). This course 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. | MTHE6011A | 20 |

SET THEORY Introduction: This unit 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 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. Therefore, second year Analysis is a desired prerequisite. Overview: Set theory plays a dual role in mathematics. It provides a manageable foundation to mathematics and it is itself a sophisticated area of mathematics. The foundational role of set theory consists in providing a reasonable set of assumptions (axioms) which enable us to construct most mathematical objects, and from which most mathematics can be derived by proving theorems based on these axioms. We will discuss this system of axioms, known as ZFC (Zermelo-Fraenkel Axioms with the Axiom of Choice), and will demonstrate how it can be used to build the foundations of mathematics. We will discuss some background foundational issues, including Godel's Incompleteness Theorems and the notion of consistency (these issues will be discussed without proofs), and will discuss some alternatives to ZFC. We will give a complete development of the general theory of ordinals and, along with it, we will introduce the methods of transfinite induction and recursion. Armed with these tools, we shall see how set theory provides the right framework for studying infinite sets. Examples of such sets are the set of all natural numbers, the set of all rationals, and the set of all real numbers. It turns out that there is a very natural way to assign a notion of size to such sets, providing us with more information than just 'infinite'. According to this notion (cardinality), the first two of the above sets have the same size, which is strictly smaller than that of the third. We will construct concrete examples of infinite objects in mathematics, such as infinite graphs, almost disjoint families, topological spaces, and groups, and will study some of their properties. Finally, if we have time we will briefly discuss the limitations of ZFC as well as criteria for extending ZFC in a sensible way. . | MTHE6003B | 20 |

STRATEGIC BRAND MANAGEMENT The module focuses on brand management. It takes a very pragmatic approach, showing through numerous case studies how organisations launch brands, establish and maintain brand equity, and how they manage brands over time and geographic boundaries. To develop a knowledge and understanding of brand management, students study the factors and strategies that contribute to building brand equity. The lectures will be supported by a series of seminar sessions which allow students to experience the practical application of the module syllabus and to test their understanding of the relevant theories. This module is particularly useful for students aiming at careers in marketing, advertising or market research. | NBS-6023Y | 20 |

THEORY OF WATER WAVES This course provides an introduction to the theory of water waves. It requires some knowledge of hydrodynamics and multivariable calculus. The unit is suitable for those with an interest in Applied Mathematics. Overview: Free surface problems occur in many aspects of science and everyday life. Examples of free surface problems are waves on a beach, bubbles rising in a glass of champagne and a liquid jet flowing from a tap. In these examples the free surface is the surface of the sea, the interface between the gas and the champagne and the boundary of the falling jet. We will study aspects of linear and nonlinear water waves using analytical techniques | MTHE6014A | 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 (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.## Essential Information

### Entry Requirements

**A Level**AAB including A in Mathematics or ABB including A in Mathematics and B in Further Mathematics**International Baccalaureate**33 points including HL Mathematics at 6 and one other HL subject at 6**Scottish Advanced Highers**AAB including A in Mathematics**Irish Leaving Certificate**AAAABB including A in Mathematics**Access Course**Pass the Access to HE Diploma with Distinction in 36 credits at Level 3 and Merit in 9 credits at Level 3, including 12 Level 3 credits in Mathematics**BTEC**Only accepted alongside A-level Mathematics**European Baccalaureate**80% overall including 85% in Mathematics

#### Entry Requirement

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

Critical Thinking and General Studies 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 requirements for direct entry our partner, INTO University of East Anglia offers guaranteed progression on to this undergraduate degree upon successful completion of a preparation programme. Depending on your interests, and your qualifications you can take a variety of routes to this degree:

__International Foundation in General Science FS1__

__International Foundation in Physical Sciences and Mathematics FS3__

__International Foundation in Mathematics with Actuarial Science FMA__

#### Interviews

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 admissions@uea.ac.uk directly to discuss this further.

#### Intakes

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

### Fees and Funding

__Undergraduate University Fees and Financial Support: Home and EU Students__

**Tuition Fees**

Please see our webpage for further information on the current amount of tuition fees payable for Home and EU students and for details of the support available.

**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.

**Home/EU** - The University of East Anglia offers a range of Bursaries and Scholarships. To check if you are eligible please visit

**______________________________________________________________________**

__Undergraduate University Fees and Financial Support: International Students__

**Tuition Fees**

Please see our webpage for further information on the current amount of tuition fees payable for International Students.

**Scholarships**

We offer a range of Scholarships for International Students – please see our website for further information.

### 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

Email: admissions@uea.ac.uk

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

## Got a question? Just ask

We canâ€™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