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Management with Mathematics BSc

UCAS code N2G1
Year of entry 2017
View 2018 entry »
Course Length
4 years full time
Department Management »
Mathematics »

Our School of Management has a fresh and intellectually challenging approach to management research and education. Studying Management and Mathematics at Royal Holloway, University of London means that you will learn from internationally renowned experts who will share their research and experience so that you gain current and relevant management skills and knowledge. Selecting this degree will allow you to specialise in mathematics and give you a comprehensive foundation in modern management.  Having an in-depth knowledge and transferable skills in both management and mathematics will give you excellent career prospects.   

You will build on your skills and abilities in all the key areas of management, from strategy to marketing and from accounting to e-commerce.  You will also explore key areas of mathematics, delving into a world of abstract structures and ideas, through which you will develop practical skills such as logistics, inventory control and scheduling. 

Our balanced approach to research and teaching guarantees high quality teaching from subject leaders, cutting edge materials and intellectually challenging debates.  You will receive individual attention and have the flexibility to acquire expertise within a specialist field, selecting from a wide range of subjects.

  • Excellent career prospects in management, by specialising in mathematics and studying real life case studies with input from business stakeholders.
  • Quality research publications are judged as 14thout of 101 UK business and management schools (Research Excellence Framework 2014).
  • Innovative and effective; 81% Management School student satisfaction and 94% of mathematics students said that our staff are good at explaining things (National Student Survey 2015).
  • Inspiring international community; 60% of our Management students come from overseas and the 8,500 students at Royal Holloway are from 130 countries.

Core modules

Year 1

Management: Interpreting Management

In this module you will develop an understanding of key management concepts, theories and practices. You will learn about the development and shifting of key paradigms in management, and how management knowledge can be regarded as a social construct. You will also consider how you can enhance your employability through skills in critical analysis.

Management: International Business

In this module you will develop an understanding of the formal economic, political and legal institutions, as well as cultural, religious, and linguistic differences that must be taken into account when conducting business across borders. You will look at how the global context in which companies operate has evolved over time, considering the role of foreign direct investment and internationalisation strategies. You will examine the motivations for entering a foreign market, the factors determining whether a company enters on their own or in partnership, the risks of entry and how they are analysed, and how companies negotiate with governments.

Management: Markets and Consumption

In this module you will develop an understanding of how marketing can be seen as both an academic discipline and as a business practice. You will look at the role of the consumer as a stakeholder in an organisation, examining how they make consumption decisions. You will assess marketing as a business practice, considering how it has penetrated all sectors of the economy (private, public, and not-for-profit). In addition, you will learn about the sustainability of marketing practices in an increasingly globalised consumer society.

Management: Accounting

In this module you will develop an understanding of the basic concepts of accounting, examining its role in organisations and society. You will consider the basic components of financial statements, including income statement, balance sheets, and cash flow statements, and the procedures and techniques for the preparation of these. You will also look at the principles of financial decision making and how to analyse accounting information. 

Management: Information Systems

In this module you will develop an understanding of information systems and how they have become the backbone of contemporary businesses. You will consider how they are used by business managers as a tool for achieving operational excellence, developing new products and services, improving decision making, and achieving competitive advantage. You will also examine the broader organisational, human and information technology dimensions of information systems and how they can be used to provide solutions to challenges and problems in the business environment.

Management: Organisation Studies

In this module you will develop an understanding of organisation as a process and the organisation as an entity. You will look at key managerial activities, examining classical ideas about organisation with the context of nationalisation and humanisation. You will see how these ideas reappear, albeit in a modified form, in contemporary organisations, looking at organisational forms and modern management techniques such as culture management, emotional labour, and charismatic leadership. You will also consider Max Weber’s distinction of formal and substantive rationality and Anthony Giddens’ formulation of the duality of action and structure.

The core modules in Mathematics are:

Number Systems

In this module you will develop an understanding of the fundamental algebraic structures, including familiar integers and polynomial rings. You will learn how to apply Euclid's algorithm to find the greatest comon divisor of two integers, and use mathematical induction to prove simple results. You will examine the use of arithmetic operations on complex numbers, extract roots of complex numbers, prove De Morgan's laws, and determine whether a given mapping is bijective.

Matrix Algebra

In this module you will develop an understanding of basic linear algebra, in particular the use of matrices and vectors. You will look at the basic theoretical and computational techniques of matrix theory, examining the power of vector methods and how they may be used to describe three-dimensional space. You will consider the notions of field, vector space and subspace, and learn how to calculate the determinant of an n x n matrix.

Year 2

Management: Strategic Management

In this module you develop an understanding of the theories of strategic management. You will consider these theories in the context of contemporary business operations, including the political and regulatory frameworks, in response to technological change, financialisation, the development of new business models, and changes in the way corporate performance is assessed. You will look at key concepts and debates in the theory of corporate and business strategy, and examine the changing context in which corporate strategy is formulated and implemented.

Management: Marketing Strategy in Context

In this module you will develop an understanding of the marketing strategies used by organisations. You will look at the elements of the marketing mix and their critical interrelationships, examining the competitive environment, customer insights, market information systems, business models, enterprise competencies, control, evaluation and innovation. You will also consider the sustainability of marketing practices in an increasingly globalised consumer society.

Management: Managerial Accounting

In this module you will develop an understanding of the technical and non-technical aspects of management accounting. You will look at traditional costing methods and techniques, such as contribution volume profit analysis (CVP), budgeting, responsibility accounting, transfer pricing, and decision-making, alongside more innovative management tools, including activity based costing (ABC), activity based management (ABM), and the balanced scorecard. You will examine the issues underlying pricing and product offering and consider the importance of quality and cost control as strategic objectives for improving organisational performance.

Management: Operations Management

In this module you will develop an understanding of the design, planning and control of operating systems for the provision of goods and services. You will look at the tools and techniques used in the development of operational systems and the factors that affect the choice of operating methods. You will consider approaches to the planning cycle, inventory management, and production control techniques, including capacity planning, and the merits of push and pull systems. You will also examine quality control and its management in practice.

Management: Human Resource Management

In this module you will develop an understanding of the significance of human resource management in organisations. You will look at the links between product market and human resourcing strategies, the role of human resources planning in workforce management, and polices such as employee participation and involvement, including the role of trade unions in employment relationships. You will examine the regulation of labour markets, employment discrimination and conflict and resistance at work. You will also consider specific human resources practices, such as recruitment and selection, training and development and pay and performance management. 

Management: Employability

In this module you will develop an awareness of the challenges associated with gaining employment in the contemporary workplace. You will learn about work experience, internships, and part-time employment opportunities, and receive guidance on how to complete applications, become familiar with what to expect from an assessment centre, and develop your interview technique. You will participate in a range of activities including business games, quizzes, coaching exercises, and hear from industry speakers offering insights into what it’s like to work in a particular sector or company.

Year 3

Management: Integrating Management - Business in Context

Management: Integrating Management - Leadership and Innovation

Optional modules

In addition to these mandatory course units there are a number of optional course units available during your degree studies. The following is a selection of optional course units that are likely to be available. Please note that although the College will keep changes to a minimum, new units may be offered or existing units may be withdrawn, for example, in response to a change in staff. Applicants will be informed if any significant changes need to be made.

Year 1

Only core modules are taken

Year 2

Optional modules in Mathematics include:

Vector Analysis And Fluids

In this module you will develop an understanding of the concepts of scalar and vector fields. You examine how vector calculus is used to define general coordinate systems and in differential geometry. You will learn how to solve simple partial differential equations by separating variables, and become familiar with how these concepts can be appield in the field of dynamics of inviscid fluids.

Statistical Methods

In this module you will develop an understanding of statistical modelling, becoming familiar with the theory and the application of linear models. You will learn how to use the classic simple linear regression model and its generalisations for modelling dependence between variables. You will examine how to apply non-parameric methods, such as the Wilxocon and Kolmogorov-Smirnov goodness-of-fit tests, and learn to use the Minitab statistical software package.

Probability

In this module you will develop an understanding of the basic principles of the mathematical theory of probability. You will use the fundamental laws of probability to solve a range of problems, and prove simple theorems involving discrete and continuous random variables. You will learn how to forumulate an explain fundamental limit theorems, such as the weak law of large numbers and the central limit theorem.

Graphs and Optimisation

In this module you will develop an understanding of the basic concepts of graph theory and linear programming. You will consider how railroad networks, electrical networks, social networks, and the web can be modelled by graphs, and look at basic examples of graph classes such as paths, cycles and trees. You will examine the flows in networks and how these are related to linear programming, solving problems using the simplex algorithm and the strong duality theorem.

Ordinary Differential Equations and Fourier Analysis

In this module you will develop an understanding of the concepts arising when the boundary conditions of a differential equation involves two points. You will look at eingenvalues and eingenfunctions in trigonometric differenital equations, and determine the Fourier series for a periodic function. You will learn how to manipulate the Dirac delta-function and apply the Fourier transform. You will also examine how to solve differential equations where the coefficients are variable.

Linear Algebra and Group Project

In this module you will develop an understanding of vectors and matrices within the context of vector spaces, with a focus on deriving and using various decompositions of matrices, including eigenvalue decompositions and the so-called normal forms. You will learn how these abstract notions can be used to solve problems encountered in other fields of science and mathematics, such as optimisation theory. Working in small groups, you will put together different aspects of mathematics in a project on a topic of your choosing, disseminating your findings in writing and giving an oral presentation to your peers.

Rings and Factorisation

In this module you will develop an understanding of ring theory and how this area of algebra can be used to address the problem of factorising integers into primes. You will look at how these ideas can be extended to develop notions of 'prime factorisation' for other mathematical objects, such as polynomials. You will investigate the structure of explicit rings and learn how to recognise and construct ring homomorphisms and quotients. You will examine the Gaussian integers as an example of a Euclidean ring, Kronecker's theorem on field extensions, and the Chinese Remainder Theorem.

Groups and Group Actions

In this module you will develop an understanding of the algebraic structures known as groups. You will look at how groups represent symmetries in the world around us, examining examples that arise from the theory of matrices and permutations. You will see how groups are ubiquitous and used in many different fields of human study, including mathematics, physics, the study of crystals and atoms, public key cryptography, and music theory. You also will also consider how various counting problems concerning discrete patterns can be solved by means of group actions.

Further Linear Algebra and Modules

In this module you will develop an understanding of the language and concepts of linear algebra that are used within Mathematics. You will look at topics in linear algebra and the theory of modules, which can be seen as generalisations of vector spaces. You will learn how to use alternative matrix representations, such as the Jordan canonical or the rational canonical form, and see why they are important in mathematics.

Complex Variable

In this module you will develop an understanding of the basic complex variable theory. You will look at the definitions of continuity and differentiability of a complex valued function at a point, and how Cauchy-Riemann equations can be applied. You will examine how to use a power series to define the complex expontential function, and how to obtain Taylor series of rational and other functions of standard type, determining zeros and poles of given functions. You will also consider how to use Cauchy's Residue Theorem to evaulate real integrals.

Year 3

Management: International Financial Accounting

Management: Consumer Behaviour

Management: Emerging Markets

Management: Asia Pacific Business

Management: European Business

Management: Accounting for Corporate Accountability

Management: The Globalisation of Work

Management: International Human Resource Management

Management: The Individual at Work

Management: Business in International Comparative Perspective

Management: Brands and Branding

Management: Global Marketing

Management: Strategic Management Accounting

Management: Strategic Finance

Management: Advertising and Promotion in Brand Marketing

Management: Clusters, Small Business and Entrepreneurship

Management: Business Data Analytics

Management: Digital Innovation Management

Management: Enterprise Systems Management

Management: Project Management

Management: Small Business Management and Growth

Management: Entrepreneurship Theory and History

Management: Corporate Entrepreneurship

Management: Innovation, Strategy and the Corporation

Management: Accounting for Sustainability

Management: Corporate Governance

Management: Responsible Entrepreneurship

Management: Marketing Ethics and Society

Optional modules in Mathematics include:

Mathematics Project

In this module you will carry out a detailed investigation on a topic of your choosing, guided by an academic supervisor. You will prepare a written report around 7,000 words in length, and give a ten-minute presentation outlining your findings.

Mathematics in the Classroom

In this module you will develop an understanding of a range of methods for teaching children up to A-level standard. You will act act as a role model for pupils, devising appropriate ways to convey the principles and concepts of mathematics. You will spend one session a week in a local school, taking responsibility for preparing lesson plans, putting together relevant learning aids, and delivering some of the classes. You will work with a specific teacher, who will act as a trainer and mentor, gaining valuable transferable skills.

Number Theory

In this module you will develop an understanding of how prime numbers are the building blocks of the integers 0, ±1, ±2, … You will look at how simple equations using integers can be solved, and examine whether a number like 2017 should be written as a sum of two integer squares. You will also see how Number Theory can be used in other areas such as Cryptography, Computer Science and Field Theory.

Computational Number Theory

In this module you will develop an understanding of a range methods used for testing and proving primality, and for the factorisation of composite integers. You will look at the theory of binary quadratic forms, elliptic curves, and quadratic number fields, considering the principles behind state-of-the art factorisation methods. You will also look at how to analyse the complexity of fundamental number-theoretic algorithms.

Complexity Theory

In this module you will develop an understanding of the different classes of computational complexity. You will look at computational hardness, learning how to deduce cryptographic properties of related algorithms and protocols. You will examine the concept of a Turing machine, and consider the millennium problems, including P vs NP, with a $1,000,000 prize on offer from the Clay Mathematics Institute if a correct solution can be found.

Principles of Algorithm Design

In this module you will develop an understanding of efficient algorithm design and its importance for handling large inputs. You will look at how computers have changed the world in the last few decades, and examine the mathematical concepts that have driven these changes. You will consider the theory of algorithm design, including dynamic programming, handling recurrences, worst-case analysis, and basic data structures such as arrays, stacks, balanced search trees, and hashing.

Quantum Theory 1

In this module you will develop an understanding of quantum theory, and the development of the field to explain the behaviour of particles at the atomic level. You will will look at the mathematical foundations of the theory, including the Schrodinger equation. You will examine how the theory is applied to one and three dimensional systems, including the hydrogen atom, and see how a probabilistic theory is required to interpret what is measured.

Quantum Theory 2

In this module you will develop an understanding of how the Rayleigh-Ritz variational principle and perturbation theory can be used to obtain approximate solutions of the Schrödinger equation. You will look at the mathematical basis of the Period Table of Elements, considering spin and the Pauli exclusion principle. You will also examine the quantum theory of the interaction of electromagnetic radiation with matter.

Dynamics of Real Fluids

In this module you will develop an understanding of how the theory of ideal fluids can be used to explain everyday phenomena in the world around us, such as how sound travels, how waves travel over the surface of a lake, and why golden syrup (or volcanic lava) flows differently from water. You will look at the essential features of compressible flow and consider basic vector analysis techniques.

Non-Linear Dynamical Systems - Routes to Chaos

In this module, you will develop an understanding of non-linear dynamical systems. You will investigate whether the behaviour of a non-linear system can be predicted from the corresponding linear system, and see how dynamical systems can be used to analyse mechanisms such as the spread of disease, the stability of the universe, and the evolution of economic systems. You will gain an insight into the 'secrets' of the non-linear world and the appearance of chaos, examining the significant developments achieved in this field during the final quarter of the 20th Century.

Channels

In this module you will develop an understanding of the mathematics of communication, focusing on digital communication as used across the internet and by mobile telephones. You looking at compression, considering how small a file, such as a photo or video, can be made, and therefore how the use of data can be minimised. You will examine error correction, seeing how communications may be correctly received even if something goes wrong during the transmission, such as intermittent wifi signal. You will also analyse the noiseless coding theorem, defining and using the concept of channel capacity.

Quantum Information and Coding

In this module you will develop an understanding of how the behaviour of quantum systems can be harnessed to perform information processing tasks that are otherwise difficult, or impossible, to carry out. You will look at basic phenomena such as quantum entanglement and the no-cloning principle, seeing how these can be used to perform, for example, quantum key distribution. You will also examine a number of basic quantum computing algorithms, observing how they outperform their classical counterparts when run on a quantum computer.

Mathematics of Financial Markets

In this module you will develop an understanding of how financial markets operate, with a focus on the ideas of risk and return and how they can be measured. You will look at the random behaviour of the stock market, Markowitz portfolio optimisation theory, the Capital Asset Pricing Model, the Binomial model, and the Black-Scholes formula for the pricing of options.

Advanced Financial Mathematics

In this module you will develop an understanding of the role of mathematics and statistics in securities markets. You will investigate the validity of various linear and non-linear time series occurring in finance, and apply stochastic calculus, including partial differential equations, for interest rate and credit analysis. You will also consider how spot rates and prices for Asian and barrier exotic options are modelled.

Combinatorics

In this module you will develop an understanding of some of the standard techniques and concepts of combinatorics, including methods of counting, generating functions, probabilistic methods, permutations, and Ramsey theory. You will see how algebra and probability can be used to count abstract mathematical objects, and how to calculate sets by includion an exclusion. You will examine the applications of number theory and consider the use of simple probabilistic tools for solving combinatorial problems.

Error Correcting Codes

In this module you will develop an understanding of how error correcting codes are used to store and transmit information in technologies such as DVDs, telecommunication networks and digital television. You will look at the methods of elementary enumeration, linear algebra and finite fields, and consider the main coding theory problem. You will see how error correcting codes can be used to reconstruct the original information even if it has been altered or degraded.

Cipher Systems

In this module you will develop an understanding of secure communication and how cryptography is used to achieve this. You will look at some of the historical cipher systems, considering what security means and the kinds of attacks an adversary might launch. You will examine the structure of stream ciphers and block ciphers, and the concept of public key cryptography, including details of the RSA and ElGamal cryptosystems. You will see how these techniques are used to achieve privacy and authentication, and assess the problems of key management and distribution.

Public Key Cryptography

In this module you will develop an understanding of public key cryptography and the mathematical ideas that underpin it, including discrete logarithms, lattices and elliptic curves. You will look at several important public key cyptosystems, including RSA, Rabin, ElGamal encryption and Schnorr signatures. You will consider notions of security and attack models relevant for modern theoretical cryptography, such as indistinguishability and adaptive chosen ciphertext attack.

Applications of Field Theory

In this module you will develop an understanding of Field Theory. You will learn how to express equations such as X2017=1 in a formal algebraic setting, how to classify finite fields, and how to determine the number of irreducible polynomials over a finitie field. You will also consider some the applications of fields, including ruler and compass constructions, and why it is impossible to generically trisect an angle using them.

Groups and Group Actions

In this module you will develop an understanding of the algebraic structures known as groups. You will look at how groups represent symmetries in the world around us, examining examples that arise from the theory of matrices and permutations. You will see how groups are ubiquitous and used in many different fields of human study, including mathematics, physics, the study of crystals and atoms, public key cryptography, and music theory. You also will also consider how various counting problems concerning discrete patterns can be solved by means of group actions.

Further Linear Algebra and Modules

In this module you will develop an understanding of the language and concepts of linear algebra that are used within Mathematics. You will look at topics in linear algebra and the theory of modules, which can be seen as generalisations of vector spaces. You will learn how to use alternative matrix representations, such as the Jordan canonical or the rational canonical form, and see why they are important in mathematics.

Topology

In this module you will develop an understanding of geometric objects and their properties. You will look at objects that are preserved under continuous deformation, such as through stretching or twisting, and will examine knots and surfaces. You will see how colouring a knot can be used to determine whether or not it can be transformed into the unknot without any threading. You will also consider why topologists do not distinguish between a cup and a donut.

Teaching combines lecture elements with seminars and workshops. Lectures are used to introduce the subject matter and seminars provide students with the opportunity to discuss and develop their understanding. Outside of scheduled teaching sessions, students work independently and collaboratively on researching topics in preparation for seminars. The school makes extensive use of Moodle, the College’s online learning platform, in support of its classroom teaching and resources are made available to assist students with their independent study.

Course units are assessed by a combination of end-of-year examinations (generally 70% of your overall mark) and in-course assignments (generally 30% of your overall mark). In-course assignments are conducted as either individual or group work, and are usually in the form of essays or presentations.

Statistics and computational course units may have project components, and tests. All students work in small groups to prepare a report and an oral presentation on a mathematical topic of their choice which contributes to one of the core subject marks. There are two optional final year mathematics units which are examined solely by a project and presentation.

Typical offers

Typical offers
A-levels

ABB

Required/preferred subjects

A-Level Maths Grade A

Five GCSEs A*-C including English and Maths

Other UK Qualifications
International Baccalaureate 6,5,5 at Higher Level subjects including 6 in Higher Level Maths with a minimum of 32 points overall.
BTEC Extended Diploma Distinction, Distinction, Distinction in a relevant subject plus A level Maths grade A
BTEC National Extended Diploma Distinction, Distinction in a relevant subject plus A level Maths grade A
BTEC National Extended Certificate Distinction plus A levels grades AB including Maths at grade A 
Welsh Baccalaureate Requirements are as for A-levels where one non-subject-specified A-level can be replaced by the same grade in the Welsh Baccalaureate Adv Level Core.
Scottish Advanced Highers AB including grade A in Maths at Advanced Higher Level plus Higher requirement
Scottish Highers AABBB plus Advanced Higher requirement
Irish Leaving Certificate H2,H2,H3,H3,H3 including H2 in Maths
Access to Higher Education Diploma Pass with at least 30 level 3 credits at Distinction and 15 level 3 credits at Merit in a relevant subject PLUS A-Level Maths grade A. .

Other UK qualifications

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International and EU entry requirements

Please select your country from the drop-down list below

English language
requirements
IELTS 6.5 overall with 6.0 in reading and writing and a minimum of 5.5
in all other subscores. For equivalencies please see here.

For more information about entry requirements for your country please visit our International pages. For international students who do not meet the direct entry requirements, we offer an International Foundation Year, run by Study Group at the Royal Holloway International Study Centre. Upon successful completion, students can progress on to selected undergraduate degree programmes at Royal Holloway, University of London.

A Management with Mathematics degree at Royal Holloway, University of London can lead into a variety of career paths.  It is highly regarded by employers because of the advanced understanding of both modern business and mathematics combined with valuable interpersonal and transferable skills that can be taken direct into the work place.  We will help students to recognise their own strengths, skills and abilities so that they can make strong applications for their chosen job or further study.

  • Full time employment or further study achieved by 85% of Computer Science graduates and 79% of Management graduates within six months of graduation (Unistats 2015).
  • Graduates entered prominent organisations in roles such as: Senior Finance Analyst at Vodafone, Trader at Deutsche Bank, Brand Manager at Nestle, Senior New Media Consultant at Siemens and Managing Director (Retail) at Credit Suisse Asset Management.

Home and EU students tuition fee per year 2017/18*: £9,250

International students tuition fee per year 2017/18**: £15,600

Other essential costs***: There are no single associated costs greater than £50 per item on this course

How do I pay for it? Find out more.

*Tuition fees for UK and EU nationals starting a degree in the academic year 2017/18 will be £9,250 for that year. This amount is subject to the UK Parliament approving a change to fee and loan regulations that has been proposed by the UK Government. In the future, should the proposed changes to fee and loan regulations allow it, Royal Holloway reserves the right to increase tuition fees for UK and EU nationals annually. If relevant UK legislation continues to permit it, Royal Holloway will maintain parity between the tuition fees charged to UK and EU students for the duration of their degree studies.

**Royal Holloway reserves the right to increase tuition fees for international fee paying students annually. Tuition fees are unlikely to rise more than 5 per cent each year. For further information on tuition fees please see Royal Holloway’s Terms & Conditions.

***These estimated costs relate to studying this particular degree programme at Royal Holloway. Costs, such as accommodation, food, books and other learning materials and printing etc., have not been included.

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