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The logical choice for success. Undergraduate degrees

Mathematics is intrinsically beautiful but it also underpins science, engineering, business and commerce. Mathematicians learn to develop important analyticalthinking skills and problem-solving strategies that are highly valued by employers and prove useful in a wide range of careers.

Southampton is a major UK centre of mathematics. The breadth of our research means that we can offer options spanning applied mathematics, statistics, operational research and pure mathematics. In the last Research Assessment Exercise in 2008, 90% of our research was rated as internationally competitive; over 50% was world leading or almost so. The research outputs of the applied mathematics group were ranked third in the UK. The Statistics and Operational research groups were also ranked third in the UK by “research power� (a measure of size and quality). This means that Southampton students will be taught by worldleading experts in the field, having the option to go on to advanced study at the cutting edge of research. Coupling this with over 60 active research and training links with industry and you will also have the opportunity to specialise in areas of direct interest to future employers. As such our students and research are in demand from universities, companies, NGOs and governments worldwide and in graduate employability rates six months from graduation, we are ranked second in the UK. Not surprisingly, we attract high quality applicants who go on to very successful careers. We hope that this booklet gives you an idea of what it is like to study at Southampton. You can also visit us on University open days or on UCAS visit days. We look forward to receiving your application. Professor JAG Vickers Head of Mathematics


“Mathematics at Southampton has a great reputation and a very diverse selection of modules, allowing me to either focus on a specific topic or take a broad selection. This combination of a top degree together with the great life in the city made Southampton my first choice.� Glen Menezies | Mathematics

Why Southampton? The role of universities in the future wealth and intellectual life of a country has never been more important. At the University of Southampton we aim to produce independent and self-motivated graduates who will take the lead in creating the future, whichever areas of research or career that they chose to follow. We seek to recruit applicants with the vision and drive to achieve this. The University of Southampton is a leading member of the prestigious Russell group, the association of major research-intensive universities, and employs over 2200 academics. We are consistently ranked within the top half-dozen universities in the UK for peer-reviewed research activity in engineering and physical sciences. We currently hold in excess of £160m of peer-reviewed grants in this area alone, contributing to an annual turnover in excess of £370m. In the most

Southampton skyline at nightfall


recent research assessment exercise (2008), over 93% of the University’s research was judged to be of international standard. We are home to, among other things, the world leading Optoelectronic Research Centre (with whom Mathematics has many links), the National Oceanography Centre, a Microsoft Institute for High Performance Computing, the 5th highest cited Electronics and Computer Science department in the world, and multimillion nanoportfolio centre housed in a new £100m world class laboratory. Put simply, Southampton is one of the top two engineering universities in the UK. Without research we simply would not be able to teach in the way we do. At Southampton our students learn from world leaders in their fields, from the pioneers of the World Wide Web to the leaders of ocean and earth sciences, from world-renowned marine engineers to leading medical professionals. We are amongst the leading UK

universities in the number of companies spun-out from our research. According to the Times Higher World University Rankings Southampton is ranked well within the top 100 universities in the world. The student experience is our other top priority and we make significant investments in time and money to ensure that you will be taught by lecturers at the cutting international edge of their fields, with access to stateof-the-art facilities. Since 2003 the University has spent £329m on new capital building projects, including an expansion of the main library by a third (one of six on campus), a new swimming pool, a new 76 acre sports facility, expansion of the student union, as well as world class new buildings for electronic and computer science, the

medical and life sciences and education. In particular, the University’s £8.5 million Jubilee Sports Centre and the University’s Boat Hard have been selected as official Pre-Games Training Camps for the 2012 Olympics. The research-led teaching environment was singled out for praise by the most recent UK Quality Assurance Agency (QAA) audit of the University in 2008. The QAA also identified the widespread and effective use of student feedback at all levels; the close working partnership with the Students’ Union to improve the student experience. In parallel the University has been ranked within the top ten universities nationwide for student satisfaction, according to The Times Good University Guide. We have been ranked third in the Russell Group for international student satisfaction by the International Student Barometer.

“As an international student from Hong Kong, the great appeal of coming to Southampton was the Mathematics with Actuarial Science degree with its unique blend of finance, economics and statistics as well as the opportunity to gain exemptions from professional examinations. It has given me opportunities to choose a career not just as an actuary but also in finance consultancy, investment banking or even medical statistics. The University is very lively and I have enjoyed making lots of new friends here.� Alan Lai | Mathematics with Actuarial Science

Teaching structure Educational aims During your time at Southampton, we will introduce you to the main areas of mathematics, develop your understanding of mathematical concepts and cover more advanced concepts and techniques. You will have the opportunity to construct an individual programme of study, suited to your interests, within a coherent framework. This will help you to develop subject-specific skills, including an analytical approach to problem solving, logical argument and deductive reasoning, abstraction and generalisation. You will also develop more general skills, such as IT skills, that will prove essential for employment and further study. Our programmes offer a good range of choice and flexibility. You may prefer to specialise in one area, such as applied mathematics, or you may select a more varied programme. In either case, you can choose from an extensive list of options. Teaching methods Problem solving is at the heart of all mathematical thinking, and this forms an integral part of the learning experience alongside developing skills in accurate calculation and logical argument. Training in the use of specific mathematical and statistical computer packages, such as MAPLE© and Minitab©, is an important part of the first-year programme, and it will prove useful throughout your degree programme. The third-year core course “Communicating and researching mathematics” further develops your portfolio of skills, including Internet and library research, group working and presentation skills. Most courses comprise three lectures and one supervised tutorial or problem-solving class. Student support We provide wide-ranging support, particularly during the first year as you settle in to life at the University. You will be assigned a personal tutor with whom you will meet on a regular basis to discuss your progress and any issues or concerns. You will also have access to advice and support from a senior tutor, a programme coordinator and numerous support staff.

During your first year, work will be assessed on a weekly basis, with prompt feedback through tutorial classes. In the second year, learning support normally takes place in lecture classes with regular access to individual advice. To provide 24 hour support for students, the University has developed a Student Resources Network, providing an integrated physical and virtual access point for students to obtain support and information in person, remotely and out of hours and also to provide pastoral support for students through the University Counselling Service. The University has two dedicated health practices. Our campuses and halls of residence are equipped with state of the art computer facilities that are available to all students. Almost 2000 workstations, supplied with hundreds of general and course-specific software packages, are located on all campuses and in most halls of residence. You can take advantage of self-service wired and wireless high-speed connections from many campus locations. Even when you’re away from campus you will still have access to University central services. Course Structure There are three possible degree structures available: MMath, BSc Single Honours and BSc Combined Honours. All students study a common core of six modules in year 1 with greater choice as they progress through their courses. The Combined Honours degrees are intended for those who are interested in broader applications of mathematics with applications in a specific area such as Actuarial Science or Physics, for example. −− At Southampton, we organise our teaching year into 2 semesters of 14 weeks each; −− Within each semester you would normally take 4 modules, each of 15 Credit Points; −− Depending on your programme of study, some of these modules will be compulsory and some will be chosen by you. In some cases you may choose relevant modules from other departments ;


−− Each module normally has 3 lectures per week together with 1 tutorial making a total of 16 weekly contact hours;

SUAS is a student society set up to allow students to find out more about the Actuarial profession. SUAS normally hold the following types of events:

In most cases, lecturers will give out a weekly set of problems for you to tackle during the tutorial and in your spare time and these are marked promptly with appropriate feedback and credit given towards the final assessment. These problem sheets also give essential practice that will help you better to understand the subject. In some cases coursework is also used as part of the final assessment for the module.

−− Employer Presentations - Where you can get an in-depth perspective about the Actuarial profession and what it entails. −− Skill sessions - Where you will acquire the skills necessary to allow you to write excellent CVs and hold engaging presentations −− Talks on “hot topics” in the actuarial profession such as insurances and pensions. −− Social Events such as paintballing and go-karting

Maths Societies The Maths Society (SUMS) is organised by students in the School who arrange social events such as paintballing, BBQs and trips around the region. SUMS can also support students with any problems or concerns over work or personal issues.

The societies’ websites are at and

Sample first year questions Don’t worry if you can’t yet do all of these: you will learn how to attack these problems during your first year! −− Prove by induction that 52n+1 + 32n+1 is divisible by 8 for all positive integers n. −− Find the value of the integral /2 dx 1 + tan x


as a function of › 0. −− Assuming that the Earth is a solid sphere of uniform density, of radius R = 6378km and that the gravitational acceleration on its surface is g = 9.81ms–2. Suppose a tunnel with a small radius is dug through the centre of the earth between two antipodal points and a small mass is dropped into it. Calculate the time it takes for a mass to pass through the tunnel to the other side of the Earth.


−− In accordance with instructions agent Harry has left his latest report in one of the 51 lockers at Waterloo Station left luggage (they are numbered from 1 to 51). The number of the locker he used has been encrypted using the RSA cipher given by x x 5 mod 51. He has texted the encrypted number “3” to you. Compute the decryption exponent and decide which locker he has used. Given that Harry wanted to use the RSA cipher with modulus 51 to send you the number of the locker how many lockers out of the 51 was he free to choose and why? −− Find the link matrix for the top 10 pages as listed by Google in the domain Use Google’s Page Rank algorithm to explain the ranking of the top 3.


Our Offers

Degree Programme







BSc Hons G100

Mathematical Studies

BSc Hons G120

Mathematics for Business Programmes Mathematics with Actuarial Science

BSc Hons G1N3

Mathematics, Operational Research, BSc Hons GL12 Statistics & Economics (MORSE) Mathematics with Finance

BSc Hons G1NH

Mathematics with Statistics

BSc Hons G1G3

Mathematics for Science Programmes Mathematics with Astronomy

BSc Hons G1F5

Mathematics with Biology

BSc Hons G1C1

Mathematics with Computer Science BSc Hons G1G4 Mathematics with Physics

BSc Hons G1F3

Mathematics for Arts Programmes

Our standard offer, in terms of A-levels, is likely to be AAA-AAB and we normally ask for an A-grade in Mathematics. Please see our website at for more up to date information. For a few courses we have additional requirements: G1C1

Maths with Biology

Grade B in Biology


Maths with Physics

Grade B in Physics


Maths with Music

Grade B in Music

G1R1/ 2/4

Maths with Language

Grade A in the relevant language

We encourage applications from students with other qualifications and details of offers can be found on the University website or by emailing ugadmissions@maths. We welcome applications from candidates with the Advanced Extension Award (or STEP) in Mathematics or the Cambridge Pre-U. However we recognise that not all schools offer these courses and so do not yet make this a formal requirement.

Mathematics with Music

BSc Hons G1W3

How do I apply?

Mathematics with French

BSc Hons G1R1

Mathematics with German

BSc Hons G1R2

Mathematics with Spanish

BSc Hons G1R4

Please apply to the University through the Universities and Colleges Admissions Service (UCAS). You can apply online by visiting the UCAS website at Scholarships We aim to attract students of the highest calibre, who will benefit from, and contribute to, the high quality education on offer at Southampton. As part of the School’s commitment to rewarding and encouraging excellence, we have devised an excellent and valuable scholarship programme for our students. For more details go to


Maths MMath Mathematics

BSc (Hons) Mathematical Studies

This four-year degree programme, which is specifically designed for students who wish to pursue careers as professional mathematicians in industry or academia, enables you to study mathematics in considerable depth.

This is the most flexible degree programme we offer. In each of the three years, you will have the chance to broaden your interests by studying subjects beyond mathematics, such as accountancy, economics, physics, computing, philosophy, Spanish, music and English. You will therefore have a chance to develop a range of mathematical and other skills that will prepare you for a very wide variety of careers.

The first three years of the programme are similar to the BSc Mathematics programme. However, in the fourth year you will have much greater choice in the direction of your studies and you will study mathematics at master’s level. At this stage, you will undertake an individually supervised project on a topic of your choice. Several lecture courses involve directed self-study and reading and feature topics such as hyperbolic geometry, differential geometry, asymptotics and continuum mechanics. The final year will equip you with many of the skills required for a career as a professional mathematician. BSc (Hons) Mathematics Graduates who are numerate and who have advanced problem-solving skills are in considerable demand in a wide variety of careers. This degree programme will help you to develop these skills while, at the same time, enabling you to pursue your own interests within mathematics. Our programmes offer a good range of choice and flexibility. You may prefer to specialise in one area or you may select a more varied programme. You can choose from an extensive range of courses that cover geometry, advanced algebra, mathematical biology, fluid mechanics, financial mathematics and statistical computing. Although you will be studying mathematics as your primary subject, you will have the chance to broaden your interests by studying accountancy or a language in your final year, for example. In addition to the six compulsory first-year courses, students take courses in “Number theory and cryptography” and “Applications of mathematics”.


The flexibility of this degree means that students are able to transfer on to the programme from other degrees. For example, if you embark on the Mathematics with Physics degree but subsequently decide that you do not want to specialise in physics, you can transfer to Mathematical Studies and diversify your options. In year one, students take the six compulsory, firstyear courses and courses in “Number theory and cryptography” and “Applications of mathematics”. However, students can take up to two non-maths courses in year one if preferred. Your personal tutor would be able to offer advice on the range of choices available.

Key facts: −− We have an outstanding record of success in the provision of high-quality teaching across a range of subject areas. −− The University generates the fourth highest level of research income of all universities in the UK (after Oxbridge and Imperial College London). −− The University is ranked eighth in the country for the volume of its research.

Southampton Maths graduates are now working in Formula One racing

“I have always had a great interest in mathematics because of the incredible way it is able to solve problems. The MMath degree in Southampton has enabled me to develop this interest with courses ranging from areas of pure mathematics, such as topology and number theory, to more applied subjects such as fluids and waves and mathematical finance. Next year I am going on to study for a PhD at the University of California, Santa Barbara.� Robert Sulway | MMath

Maths for Business Programmes BSc (Hons) Mathematics, Operational Research, Statistics & Economics (MORSE) This new and exciting course, available for the first time in 2012, replaces and extends three of our previous courses of Mathematics with Economics, Operational Research and Management Sciences, into one coherent programme. Mathematicians develop important analytical skills and problem-solving strategies to assess a broad range of issues in commerce, science and the arts. Mathematical models and simulations, and the interpretation of their results, are being called on increasingly in global decisions, as business, politics and management all become more quantitative in their methods. The application of mathematics is also in demand in the social sciences, particularly economics, where mathematical tools are used to formulate models of the complex interactions in an economic system - in situations as significant as the effect on UK inflation of joining the European single currency. Economists also use statistical techniques to test how well models explain and ultimately predict what happens in an economy. Special statistical techniques called econometrics are required to take account of the fact that data available to economists are not derived from carefully controlled laboratory experiments, but come from the real world. The efficient and effective management of many organisations relies on solution of problems with a significant mathematical content. This programme introduces you to the most important of the mathematical methods used in formulating and solving such problems. As well as being mathematically interesting, it thus equips you with skills and an expertise that is in very high demand in a truly wide range of businesses and organisations, spanning public and private corporations both large and small. In year one, you will study the six compulsory mathematics modules as well as two compulsory economics modules. In subsequent years you can choose between a wide range of mathematics, economics and management modules depending on your personal interests.


BSc (Hons) Mathematics with Finance Mathematicians are in great demand in the business sector, but particularly in the financial industry. In recent years, mathematicians have developed sophisticated techniques that have forecast some of the fluctuations in world stock and commodity markets, and these techniques underpin many financial products, such as stock options and futures. Graduates with our degree in Mathematics with Finance can look forward to careers in fields such as international banking, accountancy, financial consultancy, government, the civil service and the stock market. In year one, you will take courses in micro and macro economics as well as the six compulsory mathematics courses. In subsequent years, you will have the opportunity to learn about statistics, economics, the financial markets, international banking as well as the more “standard” mathematical subjects such as group theory, differential equations and analysis. BSc (Hons) Mathematics with Statistics Statisticians are in demand in many areas of industry and business. For example, pharmaceutical companies and the UK National Health Service require statisticians to help with clinical trials of new treatments for diseases. Large manufacturing companies need statisticians to determine and analyse their quality-control processes. Many government departments also require highly trained statisticians. Statistics has theoretical and practical elements and therefore you will study both aspects on this degree programme. For example, you will learn about probability theory to help understand random events and modern computing techniques to analyse large amounts of data. However, you will also learn more practical communication and teamworking skills required to work as a statistician. In year one, you will study the six compulsory mathematics courses and “Number theory” together with “Applications of mathematics” or “Demographic methods”. In subsequent years, students normally concentrate mainly on statistical courses.

“The university collaborates with the Institute of Actuaries to offer exemptions in the professional papers that I am required to take for my qualification. By being given the option of sitting for those papers whilst in university meant that I would be able to reduce the time usually needed to obtain my qualifications significantly� E-Lynn Tann | Mathematics with Actuarial Science

Maths for Business Programmes BSc(Hons) Mathematics with Actuarial Science

What will I study?

This popular and flexible degree programme combines a thorough academic education in mathematics and statistics with a coherent professional-level specialist education in actuarial science. Students who perform sufficiently well in specific modules within the programme are able to gain exemption from Subjects CT1-CT8 of the professional actuarial examinations of the Institute and Faculty of Actuaries. The University of Southampton is the only Russell Group university in Great Britain to offer such a programme, enabling students to gain exemption from all of CT1-CT8. Indeed, according to both the Times Higher Education and QS World University Rankings for 2010, the University of Southampton is the highest ranked university in the northern hemisphere to offer such a programme. Unsurprisingly, therefore, the programme is highly regarded worldwide and has proved to be very attractive to well qualified applicants, many of whom are international, who wish to gain many exemptions and subsequently enter employment as actuarial analysts with advanced professional standing, reducing their remaining time to professional designation by around two years. However, it is also very flexible in design and appeals equally to those applicants who wish to experience a different educational balance, increasing their exposure to mathematics and statistics and decreasing their exposure to actuarial science. This is perfectly possible, given the flexible structure of the programme and the wide variety of optional modules available.

In the first year of the programme, students take eight modules. Six of these are mathematics and statistics modules that are taken by all of the students on our mathematics programmes and which provide a thorough academic education in algebra, analysis, and probability and statistics. The remaining two modules are in microeconomics and macroeconomics.

What do Actuaries do? Actuaries are highly skilled quantitative professionals who are primarily concerned with the identification, quantification, analysis, and management of various types of risk, particularly those with long term financial consequences, such as mortality risk, morbidity risk, and investment performance risk. Their expertise is essential to the proper operation and management of life, general, and health insurance companies, pension funds, and investment firms, and their skills are very highly regarded and valued throughout the financial services industry. Graduates of this programme with several exemptions have gone on to have successful careers within leading insurance companies or actuarial consulting firms or government, such as Aon, Aviva, AXA, Deloitte, Ernst & Young, Financial Services Authority, Fortis Investments, Grant Thornton, Hewitt Associates, HSBC Life, Jardine Lloyd Thompson, Lane, Clark & Peacock, Mercer, Price Waterhouse Cooper, Skandia, Watson Wyatt, Zurich, and many other leading firms in the financial services sector.


In the second year of the programme, students take eight modules. There are two mathematics modules that build particularly on the analysis covered in the first year. There are also two statistics modules that build on the probability and statistics covered in the first year. It is in the second year that the exploration of actuarial science proper really begins. There is a compulsory module in financial mathematics and there are optional modules in stochastic processes and in accounting and finance. There is also a free option in the first semester of the second year. In the third year of the programme, students take eight modules. There is a core module in communicating and researching mathematics, taken by all students on our mathematics programmes, which requires students to undertake a group project and an individual project, submit reports on their research, and, in the case of the group project, give a presentation on their work. The actuarial science modules at this stage include two modules in actuarial mathematics applied to life insurance and pensions, a module in demography and survival models, a module in statistical methods applied to general insurance, and a module in mathematical finance, focussing on portfolio theory and the valuation of derivative securities. Students may select all or only some of these actuarial modules. They also have the freedom to select other optional modules according to their interests. For example, some students at this stage choose to take additional statistics modules, some choose to take operational research modules, whereas others choose non-quantitative management modules or even language modules. The flexibility of the programme design allows students considerable freedom to tailor the final year of their studies to suit their individual interests and post graduation plans. Of course, as with all our mathematics degree programmes, students also develop key transferable skills, such as time management and personal organisation, use of the library and the web for information location and retrieval, and written and oral communication.

Actuarial Exemptions One of our most popular courses is Maths with Actuarial Science and most students on this course will be aiming to become qualified actuaries and to gain exemptions from some of the professional examinations of the Faculty and Institute of Actuaries, the UK professional actuarial body. On graduation from the programme with a number of exemptions from the professional examinations, entry level salaries of the order of £25–30k might be expected; on completion of the remaining professional examinations and qualification as a Fellow of the Faculty of Actuaries or as a Fellow of the Institute of Actuaries, salaries upwards of £60k might be expected, dependent on experience, field of employment, and location. The University of Southampton is one of only a handful of UK Universities that can currently offer exemptions from the maximum number of professional examinations. Professional subject

University course(s)


CT1 Financial Mathematics

MATH2040 Financial mathematics


CT2 Finance and Financial Reporting

MANG2014 Accounting and finance for non-specialists


CT3 Probability and Mathematical Statistics

MATH1024 Introduction to probability and statistics


MATH2011 Statistical distribution theory


MATH2010 Statistical methods 1


DEMO3001 Demography


MATH2012 Stochastic processes


MATH3063 Actuarial mathematics 1


MATH3066 Actuarial mathematics 2


CT6 Statistical Methods

STAT3010 Statistical methods in insurance


CT7 Economics

ECON1001/1003 Foundations/principles of microeconomics


ECON1002 Principles of macroeconomics


MATH3022 Mathematical finance


CT4 Models CT5 Contingencies

CT8 Financial Economics

Mathematics for Science Programmes BSc (Hons) Mathematics with Astronomy

BSc (Hons) Mathematics with Computer Science

Do you enjoy stargazing – looking through your telescope to observe the changing patterns of the stars and planets? Have you ever witnessed a solar eclipse? Are you intrigued by black holes and radio signals from distant galaxies? How did the universe begin anyway? If you are curious about these issues, this could be the degree for you.

With a degree in Mathematics with Computer Science, you will have opportunities to secure employment in a huge variety of IT areas. You could become part of the team writing the next version of Windows, devising a computer-based stock control system for a Scandinavian furniture manufacturer or writing a secure web-based customer interface for a US music distributor. Computer science has both practical and theoretical elements. In your final year, you can choose the area for your individual project from either end of the spectrum, implementing a computer application or analysing some of the algorithms used in a computer algebra system, for example.

Modern astronomy involves much more than observation – although developments with the Hubble space telescope have made this all the more exciting. Understanding stellar evolution and other astronomical phenomena requires considerable mathematical expertise. On this degree programme, you will study mathematical and physical theories that underpin our current understanding of the universe. In the first year, you will take introductory courses on astronomy and space science, a unit on the physics of the solar system in addition to the six compulsory mathematics courses. In later years, you will have the opportunity to take courses on subjects such as galaxies, cosmology and stellar evolution.

In the first year, students take modules in Web Design, Program Development and Computer Architecture in addition to the six compulsory mathematics courses. In future years, you can choose from a wide range of options and study topics such as group theory, statistics, geometry, relativity, fluid dynamics, database systems, compiler engineering, computer graphics and scripting languages.

BSc (Hons) Mathematics with Biology

BSc (Hons) Mathematics with Physics

Are you interested in wild life? How does the large human population affect the survival of other species? Alternatively, are you interested in how disease affects the body or how cancer spreads? These are examples of problems that can be approached through mathematical techniques. Nowadays, the application of mathematics is extremely important in all areas of medicine and biology. This degree programme enables you to pursue interests in medicine or biology while gaining a qualification in mathematics.

Graduates whose degrees combine the mathematical skills of problem solving and analytical argument with extensive study in the physical sciences are at a premium. It is therefore no surprise to find mathematical physicists working in a wide variety of high-profile jobs. For example, it is well known that many financial analysts who work on Wall Street are physicists by training.

In the first year, you will take a unit on “Patterns of life and evolution” and a unit on “Ecology” in addition to the six compulsory mathematics courses. In later years, you will have the opportunity to study topics such as biodiversity and conservation, applications of mathematics to biology, cellular and genetic mechanisms, behavioural ecology and genes and genetic diseases.


In the first year, the physics element of this degree programme introduces you to key ideas of relativity and motion as well as waves, light and quanta. In later years, you can study topics such as quantum physics, the physics of materials, applications of laser technology, atomic and particle physics, optoelectronics and many other aspects of modern physics.

“I have always had an interest in understanding the Universe and the Mathematics with Astronomy degree has given me an opportunity to study this in more detail. I went to School in Milan and wanted to broaden my horizons by going to a British university. I am really pleased that I chose Southampton and I have been pleased with the range of courses on offer and enjoyed my time here. I have found that Southampton is a very lively city and I have made many friends.� Simon Scaringi | Mathematics with Astronomy


Maths for Arts Programmes BSc (Hons) Mathematics with Music


Mathematicians often have an affinity for music. This could be because both subjects involve abstract structures or because each evokes aesthetic beauty. Both areas of study enable you to develop a range of skills that are highly valued in many areas of employment.

You will probably spend your third year at the University of Liège in the French-speaking part of Belgium. We have developed an excellent rapport with the Mathematics department in Liège, and our students are well looked after during their stay.

As a student at Southampton, you will have many opportunities to take part in musical performance as part of both your academic and social life. You could join one of our orchestral or vocal groups, or develop your solo performance skills. The University of Southampton boasts the internationally renowned Turner Sims Concert Hall on campus. The venue organises free lunchtime concerts in term time for students.


In addition to the well-established mathematics courses, this degree programme enables you to take a wide range of music courses covering music technology, classical and romantic music, jazz and popular music, performance tuition, and composition.

The University of Trier is located in a beautiful town with lots of medieval buildings and extensive Roman remains but with the benefit of a thriving, modern centre. Trier is in the most western part of Germany and it is situated close to Luxembourg. Past students have been warmly welcomed by the Mathematics department in Trier and by the local residents in general. Spanish We have close links with the University in Santiago de Compostela in the north west of Spain. We also have contacts with mathematicians at Complutense University in Madrid and in Málaga.

BSc (Hons) Mathematics with Language The growth of the European Union has created fantastic career opportunities for graduates who can combine linguistic skills and the analytical and numerical skills developed through the study of mathematics. During this four-year course, you will spend your third year studying mathematics abroad in your chosen language – French, German or Spanish. This gives you the opportunity to really get involved in local life and culture. The year abroad will give you the chance to become fluent in your chosen language and gain an understanding of the social, economic and political culture of the country. While at Southampton, you will concentrate on improving your linguistic skills of listening, understanding, speaking and writing, but you will also have the chance to study other aspects of the culture, including literature, film or theatre.


Key facts: −− The School of Modern Languages and the School of Music were awarded the top grade of 5* for their research in the most recent RAE. −− The University boasts three internationally celebrated arts venues on the main Highfield Campus. The Nuffield Theatre is one of the leading regional theatres in the UK. −− The University has invested more than £6 million in refurbishing the Students’ Union building, which now includes a 330-seat cinema, an 1800-capacity nightclub, several new bars, restaurants and cafés.

“I have made some of the strongest friendships in my life that I’m sure will continue with me well beyond university, I’ve had life experiences that have changed me for the better and overall, had what is easily the best time of my life. I will be incredibly sad to leave this place!” Dan Hutchinson | MMath Mathematics

Course structure Year One

Most other programmes will involve 2 or more non-maths modules as follows

G1G4 Maths with Computer Science

G1N3 Maths with Actuarial Science GLN0 MORSE G1NH Maths with Finance

−− Computer Architecture

−− Linear Algebra II

−− Foundations/Principles of Microeconomics

−− Differential Equations

−− 2 Music modules from the current Music department list

−− Principles of Macroeconomics

In year one most programmes have the following 6 compulsory modules −− Calculus I −− Calculus II −− Linear Algebra I

−− Introduction to Probability and Statistics

−− Web Design −− Algorithms & Programming

G1W3 Maths with Music

G1F3 Maths with Physics

G1F5 Maths with Astronomy

−− Motion and Relativity

and in addition Single Honours and MMath students take 2 more Mathematics modules

−− Introduction to Astronomy

−− Waves, Light and Quanta

−− Physics of the Solar System

−− Physics Skills I & II

−− Number Theory and Cryptography

G1C1 Maths with Biology

G1R1/2/4 Maths with Language

−− Mathematical Modelling

−− Patterns of Life and Evolution

−− 2 relevant Language Modules

−− Ecology

Suggested Reading Most modules will have a set of recommended textbooks that you may wish to consult at some stage during your studies. We do not expect you to purchase any books before you arrive at Southampton as all of our recommended books are available in sufficient numbers in our well-stocked library. You will find that the University bookshop will stock all of them and in addition you may find that you can purchase second-hand copies once you arrive at University. We would generally recommend that you wait until you arrive before you purchase any books as the module lecturers will most probably have specific recommendations about which books are more important than others. Here are some examples of texts recommended by our first year lecturers. Acheson D, 1089 and All That Adams R A, Calculus - A Complete Course Ayres, F. & Mendleson, E., Calculus Brown JW & Churchill RV, Complex Variables and Applications


Chartrand, Polimeni & Zhang, Mathematical Proofs: A Transition to Advanced Mathematics Degroot, M.H., Probability and Statistics. (2nd Edition) Edwards D & Hamson M, Guide to Mathematical Modelling Higgins P, Mathematics for the Curious Hirst & Singerman, Basic Algebra and Geometry Jones G A & Jones J M, Elementary Number Theory Körner TW, The Pleasures of Counting Lang Serge, Introduction to Linear Algebra Mood, A.M., Graybill, F .A. & Boes, D.C., Introduction to The Theory Of Statistics Robinson, J.C., An Introduction to Ordinary Differential Equations Singh S, The Code Book Winston W.L., Operations Research: Applications and Algorithms

The Hartley Library has excellent facilities for self initiated study Module Descriptions Calculus I

Linear Algebra II

A-Level Calculus is revisited from a more rigorous viewpoint, including the formal definition of a limit, continuity and differentiability. The tools of logic as well as foundational material on sets and functions that are required will be introduced at the start of this module. Applications will include representation of functions by power series and approximation by polynomials.

Building on the intuitive understanding and calculation techniques from Linear Algebra I, this module introduces the concepts of vector spaces and linear maps in an abstract, axiomatic way.

Differential Equations

The aim of this module is to introduce students to some of the basic ideas of number theory, and to use this as a context in which to discuss the development of mathematics through examples, conjectures, theorems, proofs and applications. The module will introduce and illustrate different methods of proof in the context of elementary number theory, and will apply some basic techniques of number theory to cryptography.

Introduction to Probability and Statistics

Statistics plays a vital role in informing decisions in society, medicine and industry. This module aims to lay Calculus II foundations in probability and distribution theory, data This module aims to introduce the student to the main analysis and the use of statistical software, which will be ideas and techniques of differential and integral calculus of built upon in later modules. functions of two or more variables. Number Theory and Cryptography The module begins by revising and extending methods of integration before looking at the role of differential equations in modelling real problems. Methods for solving various classes of ordinary differential equations are considered, quickly revising techniques you may have learnt at A-level before introducing new and more advanced approaches to solving higher order variablecoefficient or matrix differential equations. Applications to dynamics, finance, and biological systems will be given. Linear Algebra I Linear maps on vector spaces are the basis for a large area of mathematics, in particular linear equations and linear differential equations, which form the basic language of the physical sciences. This module restricts itself to Euclidean vector spaces to build an intuitive understanding of the concepts of linear algebra and tools for calculations.

Mathematical Modelling The aim of this module is introduce mathematical modelling. The models will be drawn from applied mathematics, statistics and operational research and will illustrate important basic mathematical concepts and techniques.


Years Two & Three In year two, there are 2 modules that are compulsory for all courses - Analysis and Partial Differential Equations. In addition some courses include a module on Vector Calculus & Complex Variable Theory.

students would normally take 2 or 3 non-Maths courses as part of their programme and the Mathematics options can be chosen from a wide list of subjects: −− Rings and Fields −− Topology

Depending on the programme of study, students on combined or joint honours courses normally choose 5 or 6 Mathematics modules together with 2 or 3 non-Maths courses that support their programme. Full details of the modules and degree course structures in later years can be found on our website at

−− Group Theory and its Applications

The optional Mathematics modules for year 2 currently include

−− Design and Analysis of Experiments

−− Group Theory −− Introduction to Applied Mathematics

−− Number Theory

−− Galois Theory

−− Applications of Differential Equations

−− Complex Function Theory

−− Statistical Methods II −− Simulation and Queues −− Optimization −− Mathematical Programming −− Numerical Methods −− Mathematical Finance

−− Statistical Distribution Theory −− Stochastic Processes

−− Communicating & Teaching & the Undergraduate Ambassadors’ Scheme

−− Algorithms

−− Mathematics Project

−− Computer Tools for Operational Research

−− Statistical Inference

−− Financial Mathematics

−− Applications of Mathematics in Biology

−− Applications of Vector Calculus

−− Metric Spaces

−− Vector Calculus and Complex Variable

−− Actuarial Mathematics I

In year 3 the only module that is compulsory for all courses is Communicating and Researching Mathematics, which covers independent research, report writing, group working and presentation skills. Again, combined or joint honours


In the final year of the MMath degree, a full year project is compulsory together with modules on Groups and Symmetries and Differential Geometry and Applications. Four optional courses inspired by the research interests of the pure and applied groups are chosen from the following list

−− Relativity, Black Holes and Cosmology

−− Statistical Methods I

−− Algebra and Geometry

Year Four (MMath)

−− Actuarial Mathematics II −− Biological Fluid Dynamics There is also an option to undertake an extended individual project under the guidance of a member of staff or to study abroad for a semester on the ERASMUS scheme.

−− Hyperbolic Geometry −− Introduction to Semigroup Theory −− Advanced Differential Equations −− Gravitational Waves

Maths graduate professions include crime analysis

Employability Southampton has a track record of high employment rates with our graduates in great demand from employers. According to the national survey of graduate destinations sixth months from graduation, in 2008 the School of Mathematics ranked second in the UK for graduate employment or further study. Around 30% of our graduates go on to further study at Masters level or PhD research. Employability skills are embedded within the curriculum of most degree programmes. Our Careers Service offers free advice to all our students for up to three years after graduation. We are renowned for our close links with business and industry and have recently reorganised our Careers Service to extend our advice beyond the UK to provide a global outlook for graduate careers. If you do decide on an international career our Centre for Language Study is equipped with the very latest technology, with courses and resources in a wide range of languages, including Chinese, English, French, German, Italian, Latin Portuguese and Spanish.

As part of your degree programme you have access to a range of activities designed to support you in finding placement and graduate job opportunities. You can use our extensive network of industry contacts to find out about the latest placement and graduate vacancies available, as well as network with them at our annual recruitment fair. These employers also provide case study presentations and seminars to our students providing you real life examples and advice on applying for job roles. Employers also provide advice on the content and design of our degree programmes to ensure you are developing the knowledge you need for the work place. Throughout your degree you will have opportunities to undertake individual and group projects, which are often supported by employers. These provide you the opportunity to develop the Graduate Attributes needed in today’s workplace.


The quality of our graduates is recognised by employers worldwide, who attend our Open Careers Days on campus. Our students go on to a wide variety of careers and employers. Recent graduate employers include: Accenture


American Express

Jardine Lloyd Thompson


JP Morgan

Atkins plc

Lloyds TSB

BAE Systems

Marks and Spencer


Mercer Human Resources Consulting

BHS Bluecrest Capital Management


BT Centrex

National Air Traffic Control

Graduate Passport Scheme

Civil Service


A programme of personal development offered through the University Graduate Passport supplements your opportunity to develop key Graduate Attributes.

Customs and Excise

Office of National Statistics

The Graduate Passport is an achievement record, recognising and rewarding students who wish to reach their full potential by undertaking an active programme of personal development over the course of their degree programme. A menu of over 60 possible activities is provided in order to build an interesting set of experiences to complement your academic study and interests. Each of the activities undertaken accumulates points towards your Graduate Passport.


Deloitte (& lots of other accountants)


PC Games Magazine Qinetiq

Deutsche Bank

Royal Navy

Detica Ltd


Diamould Ltd.




F1 Motor Racing

South West Water

Friends Provident


George Gale


Google Inc


Hampshire Constabulary

Various Schools

HFC Bank

Winterthur Life

Housing 21

Zurich Network Insurance

“The fact that employers came to Southampton University to specifically recruit from our course was absolutely fantastic. I am now employed with an airline which has a large Operational Research department� Georgie Hart | 2008 Graduate

Accommodation We believe that coming to study at the University of Southampton and living in halls is a unique life experience. We offer 5,000 rooms to new and current students in 20 halls of residence. We offer many different types of accommodation, with both catering and self-catering facilities. The halls vary in age, character and size and in the facilities they offer. Facilities can include shops, bars, sports facilities, libraries, music, TV and computer resources rooms. You will have the opportunity to participate in a calendar of social events in halls throughout the year in addition to events organised centrally by the Students’ Union. These frequently include live bands, discos, parties sporting events and, in some halls, a Summer Ball. The vibrant social atmosphere in our halls means that you will quickly develop an extensive network of close and often lifelong friends. All halls in Southampton are within walking distance of the main campuses. Our Uni-link bus service links the halls of residence with the University campuses. You are guaranteed accommodation in halls for the first year of study if you: −− normally live outside the Southampton City boundary −− make Southampton your first choice −− apply for accommodation by 1 August in the year in which your studies commence. All non-EU international students are guaranteed a room in halls for the full, normal duration of their degree programme, provided that the application is received by the 1 August deadline. You can apply online for a place in hall via our residence application form at:



University life City life

Life at the University

Southampton is one of southern England’s top leisure and cultural destinations, offering a vibrant mix of recreation, culture and entertainment – from bars and nightclubs to restaurants, cafés, cinemas, arts and sporting venues. The city is also home to one of the UK’s top 10 shopping centres.

The Students’ Union, which is based on the Highfield Campus, is at the heart of the social scene at the University, with cafés, bars, restaurants, a nightclub and a 330-seat cinema. It also boasts a huge variety of sports and social clubs, ranging from jazz dancing through to the debating society.

Southampton’s maritime heritage continues to play an important role in today’s city life with the annual international boat show and countless opportunities to participate in water sports such as rowing, sailing, windsurfing and ocean racing.

The Highfield Campus also offers a travel centre, a medical centre, a hair and beauty salon, the University bookshop (Waterstone’s), a post office and high-street banks.

One of the UK’s greenest cities, Southampton is located between the New Forest and South Downs National Parks just south of Winchester, the ancient capital of Wessex. Other regional attractions include the coastal resorts of Bournemouth and Poole and the historic cathedral city of Salisbury. London is just over an hour away by train. Southampton also has its own international airport, with regular flights to UK and major European cities.

The Jubilee Sports Centre, situated next to the Students’ Union, includes a six-lane, 25-metre swimming pool, a split-level gym with 140 fitness stations and a magnificent eight-court badminton hall. The University also provides a strong focus for arts and cultural activities and features the Turner Sims Concert Hall, the Nuffield Theatre and the John Hansard Gallery. The University halls and campuses are linked by the award-winning Uni-link bus service, which also provides connections to the city and local transport terminals (rail, air and bus).

If you have any questions, please contact us: Admissions Tutor Mathematics University of Southampton Southampton SO17 1BJ Telephone: +44 (0)23 8059 5154 Email:


Printed on recycled paper.

Š University of Southampton 2011 This information can be made available, on request, in alternative formats. For further information, contact Mathematics. This brochure is prepared well in advance of the academic year to which it relates and the University offers the information contained in it as a guide only. While the University makes every effort to check the accuracy of the factual content at the time of drafting, some changes will inevitably have occurred in the interval between publication and commencement of the relevant academic year. You should not therefore rely solely on this brochure and go to for up-to-date information on fees, programme content and entry requirements for the current academic year. You should also consult the University’s prospectus or go to for more specific details of the limits of the University’s liability in the event of changes to advertised courses/programmes and related information. UK and EU enquiries: +44 (0)23 8059 5154 International enquiries: +44 (0)23 8059 9699

Maths undergraduate brochure