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Mathematics with Philosophy BSc

UCAS code G1V5
Year of entry 2017
View 2018 entry »
Course Length
3 years full time
Department Mathematics »
Politics and International Relations »

 

This three-year programme combines two of the most fundamental and intellectually stimulating forms of human enquiry. The idea of using mathematics to describe the universe was first introduced by the philosophers of ancient Greece but it is as relevant as ever today. Questions such as "What is a number?" or "Is mathematics discovered or invented?" are deeply philosophical. By studying both subjects you will not only master the skills of handling complex data and finding creative solutions to problems, but you will also be introduced to the beautiful world of abstract ideas, and encouraged to analyse challenging issues, question your assumptions and communicate your thoughts with clarity. You will gain a unique insight into the world of logic that bridges the two disciplines and you will open doors to a diverse range of career opportunities.

Our modular structure gives you the flexibility to tailor your studies to your own interests, and we offer a friendly and motivating learning environment, with a strong focus on small group teaching. Mathematics is one of the oldest academic disciplines and yet it sits at the heart of modern science and technology. Led by experts in the field, our core modules will give you a grounding in the key methods and concepts that underpin the subject, as well as practical skills that are widely transferrable in the world of work. Our curriculum covers pure and applied mathematics, statistics and probability, the mathematics of information, financial markets, and more.

You'll also learn about the fundamentals of ancient and modern philosophy, the philosophy of politics, and the art of argument and persuasion. We address some of the most important political, cultural and ethical issues in the world today and tackle fundamental questions about knowledge, reasoning, our views on the universe and the impacts they have on our lives. We also have a vibrant Philosophy Society. We take a uniquely collaborative and interdisciplinary approach to the subject, by looking beyond the confines of the analytic or European tradition to disciplines across the art, humanities and social sciences. You will learn from seasoned philosophers who are published authorities in their field.

Your mathematical studies will make up 75% of your overall degree, while philosophy will contribute the remaining 25%.

  • Study two of the world’s oldest and most widely applicable academic subjects.
  • Learn from renowned mathematicians and inspirational philosophy teachers, with the flexibility to tailor your studies to your own interests.
  • Our Mathematics department ranks second in the UK for its research impact and fourth for world leading or internationally excellent research (Research Excellence Framework 2014).
  • Our philosophy courses are taught in a lively international community of students in the Department of Politics and International Relations.
  • Benefit from our strong focus on small group teaching.
  • We rank highly for overall satisfaction in the National Student Survey and 94% of our mathematics students say we are good at explaining things (NSS 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.

Philosophy: Epistemology and Metaphysics

This module aims to introduce you to some of the key problems that have preoccupied contemporary philosophers. You will look at logical questions relating to the structure of arguments, epistemological questions about the sources and limits of knowledge, and metaphysical questions exploring the relationship between minds and bodies and the possibility of human freedom.

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.

Philosophy: Introduction to European Philosophy 1 - From Kant to Hegel

This module introduces you to aspects of key texts by eighteenth and nineteenth century philosophers Immanuel Kant and Georg Wilhelm Friedrich Hegel, which form the foundation of the major debates in both European, and some Anglo-American philosophy. You will explore major issues concerning epistemology, ethics, and aesthetics, and different approaches to these issues, which will be central to the rest of your philosophical and other studies in the humanities and social sciences.

Philosophy: Mind and World

This module examines some of the major metaphysical and epistemological problems that arise when attempting to understand how the mind and language interact with and in the world. It centres on attempts to conceptualise, solve, or avoid mind-body related problems in the analytic tradition and aims to contrast these with phenomenological and existential investigations of related problems.

Year 3

All modules are optional

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.

Philosophy: Introduction to Logic

This module aims to introduce you to the formal study of arguments through the two basic systems of modern logic: sentential or propositional logic and predicate logic. As well as showing you how to present and analyse arguments formally, you will look at the implications and uses of logical analysis by considering Bertrand Russell’s formalist solution to the problem of definite descriptions, before discussing the broader significance of findings in logic to philosophical inquiry.

Philosophy: Mind and Conciousness

What is the relationship between the mind and the brain? Is the mind inside the brain? Are we any more than highly sophisticated computers? What is consciousness? This module aims to introduce these and related questions, which are central to modern philosophical debates about the nature of mind and consciousness.

Philosophy: Introduction to Aesthetics and Morals

This module aims to provide you with a broad understanding of many of the central problems and debates within moral philosophy and aesthetics. These include questions relating to both metaphysical and ethical relativism, the different ways we might understand our moral commitments within the world, how the individual is related to society, and the value and nature of the work of art. The module presents you with approaches from the history of philosophy, from the Anglo-American tradition, and from recent European philosophy.

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.

Classics: The Philosophy of Aristotle

 

Classics: The Good Life in Ancient Philosophy 2

 

Classics: Stoics, Epicureans and Sceptics

 

Classics: Philosophy Under the Roman Empire

 

Politics and International Relaions: Moral Problems  in Politics

 

Politics and International Relaions:  Nietzsche and Foucault

 

Philosophy: Philosophy of Psychology

 

Philosophy: Practical Ethics

 

Philosophy: The Philosophy of Religion

 

Philosophy: Husserl to Heidegger

 

Philosophy: Critical Theory and Hermen

 

Philosophy: Recovering Reality

 

Philosophy: The Self and Others

 

Philosophy: The Varieties of Scepticism

 

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 compulsory modules in years 1 and 2, you will choose from a range of optional courses each year. 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. You will attend 12 to 15 hours of formal teaching in a typical week. Our mathematics courses are delivered through lectures, seminars, group tutorials, statistics and IT classes, and problem solving workshops. You will also be expected to work on worksheets, revision and project work in your own time. In year 2, much of our mathematics teaching is delivered through lectures, workshops and practical classes, and in year 3, mostly through relatively small group lectures and supervised project work. Philosophy is taught through a combination of lectures, large and small seminars and occasionally through one-to-one tutorials. Outside of class time you will work on group projects and wide-ranging but guided independent study. You will be supported in both subjects by the extensive resources available on Moodle, our e-learning facility.

Assessment is through a mixture of coursework and end-of-year examinations, depending on the courses you choose to take. Statistics and computational courses in mathematics may include project work and tests. All students will 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. The results of the first year assessments qualify you to progress to the second year but do not contribute to your final degree award. The second and final year results do contribute to the final degree result.

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

Preferred: Further Mathematics

 
Other UK Qualifications
International Baccalaureate 6,5,5 at Higher Level, including 6 in Maths, 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 AB including Maths 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 - Advanced Skills Challenge Certificate.
Scottish Advanced Highers AB in Advanced Highers including A in Maths, 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 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

Please select your country from the drop-down list below

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. 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.

Our joint programme will equip you with a wide range of transferrable skills, including advanced numeracy, data handling and analysis, critical thinking, logical reasoning, creative problem solving, time management and self-discipline. You will also be able to present complex ideas and arguments clearly and coherently and to carry out independent research. We have a strong record of success in helping students progress into work and further study, which puts us in the top ten for graduate career prospects, nationally (Complete University Guide 2015). For instance, 90% of our mathematics graduates are in work or further study within six months of leaving us (Unistats 2015).

Our recent graduates have gone on to enjoy successful careers in a diversity of fields, from teaching, the civil service and the arts, to management and consultancy, computing, law, academic research, accountancy, finance, risk analysis, engineering and the intelligence services. We also offer a wide range of exciting postgraduate opportunities in both mathematics and philosophy. Depending on your choice of courses, you could also be eligible for certain membership exemptions from professional bodies such as the Institute of Actuaries.

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 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 regular, tailored sessions on finding summer internships or holiday jobs and securing employment after graduation.

  • With an advanced understanding of mathematics and philosophy, you will have a wealth of opportunities in the world of work.
  • 90% of our graduates are in work or undertaking further study within six months of leaving (Unistats 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 who will guide you through your many options.

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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