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Mathematics with Spanish BSc

UCAS code G1R4
Year of entry 2017
  View 2018 entry »
Course Length 3 years full time
Department Mathematics »
Modern Languages, Literatures and Cultures »

Spanish is one of the world’s major languages, with more than 470 million native speakers, including in Spain and across Latin America. It is the official language of 15 countries. Spain itself has the fifth largest population and the fifth largest economy in the EU. By studying Spanish as part of your degree you will have the chance to learn about the fascinating history and cultural diversity of the Hispanic world, and its economic and political influence. There has always been a logical connection between the study of mathematics and languages and this programme allows you to immerse yourself in both and leave the doors open as to your future options.

Galileo famously described the universe as a book written in a mathematical language, and this concept of mathematics as a universal language has never been more relevant in our technologically advanced and globalised world. On this programme you will gain a thorough grounding in the key concepts and methods of mathematics, which comprises 75% of the programme, whilst honing your Spanish language skills and gaining valuable cross-cultural perspectives. Your language classes will be taught in Spanish by skilled linguists, most of whom are native speakers, drawn from across the Hispanic world. Spanish can be picked up relatively easily from scratch, particularly if you already speak some French, but we also teach it at an advanced level if you have studied it before.

All three years of this programme are completed in the UK. Its modular structure allows you to tailor your studies to your own interests. You will not only improve your numerical skills and your proficiency at reading, writing, listening and speaking in Spanish, but you will also gain transferrable skills such as critical thinking, analysis, research, data handling and creative problem solving. 

Our Department of Mathematics is internationally renowned for its work in pure mathematics, information security, statistics and theoretical physics, and our broad curriculum spans pure and applied mathematics, statistics and probability, and the mathematics of information and of financial markets. Both departments offer friendly and motivating learning environments and a strong focus on small group teaching and ongoing academic support, with a personal adviser to guide you through your studies. We also offer a competitive work placement scheme.

  • Specialise in mathematics and hone your language skills by learning Spanish to an advanced level.
  • Work across two friendly departments, where the focus is on small group teaching and you will be known as an individual.
  • Tailor your degree to your own interests, with our wide range of optional modules.
  • We rank second in the UK for research impact and fourth for world leading or internationally excellent research in mathematics (Research Excellence Framework 2014).
  • Our School of Modern Languages is top in London and in the UK’s top 10 for research quality (REF 2014).
  • 94% of our Mathematics students said we are good at explaining things, and our School of Modern Languages has a 93% student satisfaction rating (National Student Survey 2015).

Core modules

Year 1

Mathematics: Calculus

In this module, you will develop an understanding of the key concepts in Calculus, including differentiation and integration. You will learn how to factorise polynomials and separate rational functions into partial fractions, differentiate commonly occurring functions, and find definite and indefinite integrals of a variety of functions using substitution or integration by parts. You will also examine how to recognise the standard forms of first-order differential equations, and reduce other equations to these forms and solve them.

Mathematics: Functions of Several Variables

In this module you will develop an understanding of the calculus functions of more than one variable and how it may be used in areas such as geometry and optimisation. You learn how to manipulate partial derivatives, construct and manipulate line integrals, represent curves and surfaces in higher dimensions, calculate areas under a curve and volumes between surfaces, and evaluate double integrals, including the use of change of order of integration and change of coordinates.

Mathematics: 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.

Mathematics: 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.

Mathematics: Numbers and Functions

In this module you will develop an understanding of key mathematical concepts such as the construction of real numbers, limits and convergence of sequences, and continuity of functions. You will look at the infinite processes that are essential for the development of areas such as calculus, determining whether a given sequence tends to a limit, and finding the limits of sequences defined recursively.

Spanish: Intensive Spanish for Beginners 1

This is your core Spanish language module (beginners’ pathway). It is taught intensively in five weekly seminar hours. The first three hours are devoted to work on reading, writing and listening comprehension skills combining both in-situ exercises with homework revision that students will have prepared for the day. The fourth hour is reserved for oral practice, which happens in the form of debates, role plays or text commentaries. The fifth hour is a grammar lecture in which new verb tenses and grammatical structures are introduced.

Spanish: Spanish 1

This is your core Spanish language module in which you will develop your skills in writing, speaking and comprehending the Spanish language. There are three hours of seminars per week well as a grammar lecture taught fortnightly. Teaching is done in small groups and conducted largely in Spanish. The module consists of a combination of textual analysis and grammar consolidation, combining in-situ exercises with homework revision; grammar work; lexical work and oral and listening work to develop lexical and communicative skills through the use of varied media such as the use of audio-visual aids, oral presentations and debates. You will take part in group discussions and have the chance to develop and practice your presentation skills.

Spanish: Spanish 2

This is your core Spanish language module in which you will continue to develop your skills in writing, speaking and comprehending the Spanish language. It consists of a combination of textual analysis and grammar consolidation, combining in-situ exercises with homework revision; grammar work; lexical work and oral and listening work to develop lexical and communicative skills through the use of varied media such as the use of audio-visual aids, oral presentations and debates. Through oral practice you will have the opportunity to take part in group discussions and have the chance to develop and practice your presentation skills.

Year 2

Mathematics: Linear Alegbra and 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.

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.

Spanish: Intensive Spanish for Beginners 2

This is an intensive course with four hours per week of contact in each term, plus an extra hour of oral practice. The first two hours are devoted to work on reading, writing and oral skills combining in-situ exercises with homework revision that you will have prepared for the day (usually a journalistic text). The third hour is reserved for the listening comprehension exercises which sometimes take place in language laboratories. The last hour is a grammar lecture in which new verb tenses and grammatical structures are introduced and subsequently put into practice during the next two hours of the following week.

Spanish: Principles and Practice of Translation from Spanish to English and English to Spanish

Classes will focus on a piece of Spanish or English from a literary or (quality) journalistic source. You will be required to draft an English or Spanish translation of it in preparation for the class, which will be spent discussing the relative merits of different versions. Some time will be devoted to vocabulary acquisition and the consideration of professional translations too.

Year 3

Spanish: Spanish 3

This is your core language module in Spanish, in which you will continue to develop your skills in writing, speaking and comprehending Spanish. It is taught entirely in Spanish, and takes the form of a combination of formal grammar lectures and seminars focused on written and oral skills. The module concentrates on textual analysis and grammar consolidation, combining in-situ exercises with homework prepared in advance; grammar work: theory and practice; lexical work. You will deliver presentations in Spanish and take part in debates. You will also refine your knowledge of aspects of contemporary Spanish by studying films, podcasts, news broadcasts and other audiovisual aids.

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

Mathematics: Introduction to Applied Mathematics

In this module, you will develop an understanding of how the techniques for solving differential equations can be applied to describe the real world. You will look at situations from balls flying through the air to planets orbiting the stars, including why the moon continues to orbit the Earth and not the Sun. You will consider the chatotic motion of a pendulum, and examine Einstein's theory of special relativity to describe the propagation of matter and light at high speeds.

Mathematics: Principles of Statistics

In this module you will develop an understanding of the notion of probability and the basic theory and methods of statistics. You will look at random variables and their distributions, calculate probabilities of events that arise from standard distributions, estimate means and variances, and carry out t tests for means and differences of means. You will also consider the notions of types of error, power and significance levels, gaining experience in sorting a variety of data sets in a scientific way.

Year 2

Mathematics: 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.

Mathematics: 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.

Mathematics: 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.

Mathematics: 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.

Mathematics: 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 involve 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.

Mathematics: 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.

Mathematics: 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.

Mathematics: 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.

Year 3

Mathematics: 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: 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.

Mathematics: 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.

Mathematics: 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.

Mathematics: Complexity Theory

In this module you will develop an understanding 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.

Mathematics: 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.

Mathematics: 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.

Mathematics: 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.

Mathematics: 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.

Mathematics: 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.

Mathematics: Inference

In this module you will develop an understanding of the main priciples and methods of statstics, in particular the theory of parametric estimation and hypotheses testing.You will learn how to formulate statistical problems in mathematical terms, looking at concepts such as Bayes estimators, the Neyman-Pearson framework, likelihood ratio tests, and decision theory.

Mathematics: Time Series Analysis

In this module you will develop an understanding of statistics by looking at the theory and methods used in time series analysis and forecasting. You will look at descriptive methods and theoretical techniques to analyse time series data from fields such as finance, economics, medicine, meteorology, and agriculture. You will learn to use the statistical computing package Minitab as a data analysis, calculation and graphical aid.

Mathematics: Applied Probability

In this module you will develop an understanding of the the probabilistic methods used to model systems with uncertain behaviour. You will look at the structure and concepts of discrete and continuous time Markov chains with countable stable space, and consider the methods of conditional expectation. You will learn how to generate functions, and construct a probability model for a variety of problems.

Mathematics: 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.

Mathematics: 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: 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.

Mathematics: 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.

Mathematics: 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.

Mathematics: 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.

Mathematics: 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.

Mathematics: 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.

Mathematics: 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.

Mathematics: 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.

Mathematics: 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.

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.

The programme has a flexible, modular structure and you will take a total of 12 course units at a rate of four, 30-credit modules per year. In addition to our compulsory core modules you will be free to choose between a number of optional courses. Some contribute 15 credits to your overall award while others contribute the full 30.

We use a variety of teaching methods and there is a strong focus on small group teaching throughout the programme. You will attend 12 to 15 hours of formal teaching in a typical week, including lectures, seminars, group tutorials, statistics and IT classes, problem solving workshops in mathematics, and role play and conversational classes in Spanish. You will also be expected to work on worksheets, revision and project work outside of class time, and you will have access to a host of online resources on Moodle, the University's e-learning facility. In year 2, much of our mathematics teaching will be delivered through lectures, workshops and practical classes, and in year 3, mostly through relatively small group lectures and supervised project work. Our language teaching is mainly through seminars and small group work, with some lectures.

Assessment is through a mixture of coursework and end-of-year examinations, depending on the course units you choose to take. Statistics and computational courses may include project work and tests, and Italian coursework will include essays, language and translation exercises and written reports. Some Spanish modules include oral presentations and computer-based tests to help assess grammar and comprehension skills. All students work in small groups to prepare a report and an oral presentation on a mathematical topic of their choice, which contributes towards one of the core subject marks in year 2, and two of the optional mathematics units in year 3 are examined solely by a project and presentation.

You will be required to take a study skills course during year 1, to equip you with and enhance the writing skills you will need to be successful in your degree. This does not count towards your final degree but you are required to pass it to progress to your second year.

Typical offers

Typical offers
A-levels

AAB-ABB 

The offer given will take into consideration:

  • Subjects taken at A level 
  • The educational context in which academic achievements have been gained
  • Whether the Extended Project Qualification is being taken
  • At least five GCSEs at grade A*-C including English and Mathematics.
Required/preferred subjects

Required: A in Mathematics and B in an essay-based subject. If Spanish is being taken, a grade B is required.

Preferred: Further Mathematics.

Other UK Qualifications
International Baccalaureate 6,5,5 at Higher Level, including 6 in Maths and 5 in any essay-based subject, with a minimum of 32 points overall 
BTEC Extended Diploma Distinction Distinction Distinction plus A-Level Maths grade A 
BTEC National Diploma Distinction Distinction plus A-Level Maths grade A 
BTEC Subsidiary Diploma Distinction plus A-Levels Maths grade A and an essay-based subject grade B 
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 - Advanced Skills Challenge Certificate.
Scottish Advanced Highers AB in Advanced Highers including A in Maths and B in an essay-based subject, in combination with Highers at the published level 
Scottish Highers AABBB in Highers, in combination with Advanced Highers at the published level 
Irish Leaving Certificate H2,H2,H3,H3,H3 at Higher Level inc H2 in Maths & H3 in an essay-based subject at Higher Level 
Access to Higher Education Diploma Pass with at least 30 level 3 credits at Distinction and 15 level 3 credits at Merit.  Must have 15 level 3 Maths units at Distinction, PLUS A-Level Maths grade A. 

Other UK qualifications

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International and EU entry requirements

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English language
requirements

IELTS 6.0 overall and minimum of 5.5 in each subscore.  For equivalencies please see here

For more information about entry requirements for your country please visit our International pages. Royal Holloway offers an International Foundation Programme and pre-sessional English language courses, allowing students to further develop their study skills and English language before starting their undergraduate degree.

By combining your mathematics with Spanish you will find yourself in demand for your valuable combination of numeracy and language skills, and you will be well placed to take advantage of the globalised jobs market. Employers will value your cross-cultural awareness and understanding and your ability to communicate clearly, research effectively, analyse and handle complex data, approach problems with creativity and employ logical thinking.

We have a strong track record of preparing our students for the world of work and research. Graduates from the two departments have gone on to enjoy successful careers in international management and consultancy, computer analysis and programming, teaching, sales and marketing, media and publishing, banking, accountancy, law, the arts, the civil service, politics, travel and tourism, translating and interpreting, finance, risk analysis, research and engineering.

They work for employers as diverse as: KPMG, Ernst & Young, the Ministry of Defence, Barclays Bank, Lloyds Banking Group, the Department of Health, Logica, McLaren, TowersWatson Fleishman-Hillard, the Canadian High Commission in London, UBS Investment Bank, BBC, Pearson Education Limited, London Chamber of Commerce, the Foreign and Commonwealth Office, Thomson Reuters, Fremantle Media, Citigroup, Crédit Suisse, JP Morgan Chase, Mills & Reeve Solicitors, Deloitte & Touche LLP, Burberry, the Government Economic Service, Little Brown Book Group, Estée Lauder Companies, Systema Human Information Services, Bloomberg Tradebrook Europe, Pineapple, and Amazon UK.

Our Mathematics department is part of the School of Mathematics and Information Security and we enjoy strong ties with the information security sector as well as with industry at large. We offer a competitive work experience scheme at the end of year 2, with short-term placements available during the summer holidays. You will also attend a CV writing workshop as part of your core modules in year 2, and your personal adviser and the campus Careers team will be on hand to offer advice and guidance on your chosen career. The University of London Careers Advisory Service offers tailored sessions for mathematics and modern languages students on finding summer internships or holiday jobs and securing employment after graduation. Find out more about what our recent mathematics graduates are doing here, and modern languages graduates here.

  • Develop advanced mathematical and language skills and gain a cross-cultural perspective that will give you a competitive edge in the globalised world.
  • Keep your options open by equipping yourself with language skills that could help you live and work in Europe or throughout the Spanish-speaking world.
  • 90% of our mathematics graduates are in work or undertaking further study within six months of leaving (Unistats 2015), and 92% of our modern languages students (Destinations of Leavers from Higher Education survey 2015).
  • Take advantage of our summer work placement scheme and fine-tune your CV before you enter your final year.
  • Benefit from a personal adviser to guide you through your studies.

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

International students tuition fee per year 2017/18**: £14,000

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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