The logical choice for success. Undergraduate degrees
Contents Welcome
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Southampton and region
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Teaching structure
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Programme overview
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Maths
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Maths for Business Programmes
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Maths for Science Programmes
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Maths for Art Programmes
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Course structure
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Employability
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Your student experience
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Applying and funding
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Contact us Undergraduate Admissions Mathematical Sciences University of Southampton Highfield Campus Southampton, so17 1bj Tel: +44 (0)23 8059 5154 Email: UGapply.fshs@southampton.ac.uk www.southampton.ac.uk/maths
Our students have a desire to learn and be challenged
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Southampton is a major UK centre for teaching and research in mathematics and its applications. With internationally acknowledged research groups spanning Pure and Applied Mathematics, Statistics and Operational Research, our students are guaranteed to be taught by world leading experts across the whole span of modern mathematics. Many will go on to further study at the cutting edge of research, exploiting our active research and training links with industry and with other leading research groups across the UK and around the world. Southampton mathematics graduates are in high demand with the major employers here and abroad and our graduate employment rates six months out are ranked second in the UK. Unsurprisingly we attract high quality applicants who go on to a wide range of successful careers in academia, industry, government and NGO’s worldwide The breadth of our research interests and the interdisciplinary collaborations in which we are involved is reflected in the wide range of degree programmes we are able to offer. We hope that this booklet gives you an idea of what it is like to study here and that you will take the opportunity to visit us at one of our University Open Days or a UCAS visit day. We very much look forward to meeting you and receiving your application. Professor Graham Niblo Head of Mathematical Sciences
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“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
Southampton offers a vibrant mix of recreation, culture and entertainment
Southampton and region Southampton is a thriving modern city, steeped in history and culture. Just over an hour south of London, Southampton has excellent transport links with the rest of the UK. A lively city Close to the city centre, the University forms an integral part of this dynamic, multicultural city. Our location offers a vibrant mix of recreation, culture and entertainment – from restaurants, cafés, bars and nightclubs to cinemas, sports facilities, internationally acclaimed arts venues and one of the south of England’s top shopping centres. The University is next to Southampton Common, a protected Site of Special Scientific Interest with extensive areas of public open space and managed woodland.
tastes there are great venues in Southampton for live music. The Joiners, for example, is known for up-and-coming bands – Coldplay, Oasis and Radiohead all played there before they were famous. The Guildhall is a multipurpose venue that stages jazz and rock as well as a range of contemporary and classical music. A connected city
Just over an hour from central London, Southampton has excellent transport links with the rest of the UK and internationally, by road, rail, sea and air. The city is serviced by two mainline train stations, with direct trains to London Waterloo and within easy reach of the Eurostar at St Pancras International. Southampton Airport offers regular flights to UK and major European Whether you fancy a lunch with friends or dancing into destinations. Our own award-winning uni-link bus the small hours, Southampton has the right venue. From service connects all Southampton campuses and halls of intimate lounge bars and roof terraces to Leisure World, residence, the city centre, the airport and both railway which houses a casino, bowling alley, several restaurants stations. and bars, a 13-screen cinema and two nightclubs, there is Less than half an hour from Southampton is the New something for everyone. Historic Oxford Street is home Forest National Park, with vast open heathland and to Southampton’s finest restaurants, but wherever beautiful forest. The resorts of Bournemouth and Poole you are in the city you will be spoiled for choice, with are just down the coast, while a short ferry ride takes restaurants offering a wide variety of cuisines from you to the Isle of Wight, which hosts Skandia Cowes across the globe and catering for every budget. In the Week, the largest and most prestigious international city centre you will also find West Quay, one of the south sailing regatta in the world. coast’s top shopping centres. Whatever your musical
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A historic city Southampton has a fascinating history. It was from here in 1415 that Henry V set sail for Agincourt. The Pilgrim Fathers first set sail from here in 1620 on their historic journey to the New World, and the ill-fated Titanic sailed from Southampton in 1912. Southampton has a rich aviation heritage, with the Spitfire, the fighter aircraft that won the Battle of Britain, developed in the region in the 1930s. As well as an area of outstanding natural beauty, the New Forest has a fascinating history. Created in 1079 by William the Conqueror as an area for hunting deer, it became an important source of timber for the Royal Navy. Today the forest retains many historical rural practices, such as pasturing of ponies, cattle, pigs and donkeys in the open forest by local inhabitants, known historically as the ‘commoners’. A modern city
Its coastal location means that Southampton offers a vast range of opportunities for sport and leisure, with waterfront marinas and a major focus on water sports, sailing and ocean racing. The city hosts the largest onwater boat show in Europe – the annual Southampton Boat Show. Winchester The historic city of Winchester – England’s ancient capital – is just 12 miles north of Southampton, and is home to the University’s internationally renowned Winchester School of Art. Popular for its bustling shopping streets and spectacular architecture, Winchester is perhaps best known for its 11th century cathedral and the Great Hall, which houses the mysterious Round Table of King Arthur. The city’s rich cultural heritage is complemented by a lively atmosphere and a wide variety of pubs and restaurants, museums, theatres and galleries.
Today, Southampton has one of the biggest commercial ports in Europe, and the city is known across the world as the home of the giant cruise liners, Queen Mary 2 and Queen Victoria. Southampton’s thriving port handles in excess of 42 million tonnes of cargo annually. It is the cruise industry capital of northern Europe and is engaged in sustained and continued city centre development that continually strives to improve its already enviable facilities.
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“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, group work and presentation 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.
We also run twice weekly workshops for those who need a little extra help and advice as well as a ‘Maths Cafe’ for those with more enquiring minds. During your first year, work will be assessed on a weekly basis, with prompt feedback through tutorial classes. In the second and third year, learning support normally takes place in lecture classes and timetabled tutorials 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 study 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;
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−− Each module normally has 3 lectures per week. Together with the weekly workshops and personal tutorials, this makes a total of about 19.5 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:
The Maths Society (SUMS) is organised by maths students who arrange a variety of career related events and 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.
www.southampton.ac.uk/~sums and www.southampton.ac.uk/~suas
−− Employer Presentations - Where you can get an indepth perspective about the Actuarial profession and In most cases, lecturers will give out a weekly set of what it entails. problems for you to tackle during the tutorial and in your spare time and these are marked promptly with −− Skill sessions - Where you will acquire the skills appropriate feedback and credit given towards the final necessary to allow you to write excellent CVs and hold assessment. These problem sheets also give essential engaging presentations. practice that will help you better to understand the subject. In some cases coursework is also used as part of −− Talks on “hot topics” in the actuarial profession such as insurances and pensions. the final assessment for the module. −− Social Events such as paintballing and go-karting. Maths Societies The societies’ websites are at
“The Maths society (SUMS) puts on great socials and careers events that are tailored to Maths students. It is a great way to meet people working in the industry.” Ted Burke | SUMS President BSc Mathematics, 2013
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Programmes
Our Offers
Degree Programme
Code
UCAS
Mathematics
MMath
G103
Mathematics
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 Mathematics with Music
BSc Hons G1W3
Mathematics with French
BSc Hons G1R1
Mathematics with German
BSc Hons G1R2
Mathematics with Spanish
BSc Hons G1R4
Our standard offer, in terms of A-levels, is likely to be A*AA-AAA and we normally ask for an A-grade in Mathematics. Please see our website at www.southampton.ac.uk/maths for more up to date information. For a few courses we have additional requirements: G1C1
Maths with Biology
Grade B in Biology
G1F3
Maths with Physics
Grade B in Physics
G1W3
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 UGapply.FSHS@southampton.ac.uk. 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.
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 x 1 + tan as a function of › 0.
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−− 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 www.soton.ac.uk. Use Google’s Page Rank algorithm to explain the ranking of the top 3.
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Maths MMath Mathematics
BSc (Hons) Mathematical Studies
This four year programme is specifically designed for those who wish to pursue careers as professional mathematicians in industry or academia. It 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 The flexibility of this degree means that students master’s level. At this stage, you will undertake an individually supervised project on a topic of your choice. are able to transfer on to the programme from other degrees. For example, if you embark on the Mathematics Several lecture courses involve directed self-study and reading and feature topics such as hyperbolic geometry, with Physics degree but subsequently decide that you do not want to specialise in physics, you can transfer to differential geometry, asymptotics and continuum Mathematical Studies and diversify your options. 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, for example, 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 “Mathematical Modelling”.
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In year one, students take the six compulsory, firstyear courses and courses in “Number theory and cryptography” and “Mathematical Modelling”. 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) 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 “Mathematical Modelling” or “Demographic methods”. In subsequent years, students normally concentrate mainly on statistical courses.
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“Studying Maths has allowed me to develop teamwork skills through regular group projects and assignments. ‘The Bling Thing’ dissertation project gave me the opportunity to combine the cut, colour, clarity and carat (4 Cs) of diamonds into a multiple linear regression model for the purpose of predicting the wholesale price.” Lindsay Nicol | Maths with Economics, 2013
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.
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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)
Weighting
CT1 Financial Mathematics
MATH2040 Financial mathematics
100%
CT2 Finance and Financial Reporting
MANG2014 Accounting and finance for non-specialists
100%
CT3 Probability and Mathematical Statistics
MATH1024 Introduction to probability and statistics
40%
MATH2011 Statistical distribution theory
40%
MATH2010 Statistical methods 1
20%
DEMO3001 Demography
50%
MATH2012 Stochastic processes
50%
MATH3063 Actuarial mathematics 1
50%
MATH3066 Actuarial mathematics 2
50%
CT6 Statistical Methods
STAT3010 Statistical methods in insurance
100%
CT7 Economics
ECON1001/1003 Foundations/principles of microeconomics
50%
ECON1002 Principles of macroeconomics
50%
MATH3022 Mathematical finance
100%
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 a module in programming and a module in either advanced programming, web design or algorithmics 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 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. 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.
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BSc (Hons) Mathematics with Physics 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, 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
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Maths for Arts Programmes BSc (Hons) Mathematics with Music
French
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.
German
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.
Spanish
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.
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.
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Key facts: −− Our Modern Languages and 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.
“Lecturers and Professors always have their door open if I want to learn something new or different. I was offered support to take an alternative approach to my research project on Google PageRank Algorithm, as I wanted to use it to understand who was seen to be more influential, important and interesting on Twitter.� Andrea Sipka | Maths with Computer Science, 2013
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 GL12 MORSE G1NH Maths with Finance
−− Programming
−− 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 −− Algorithmics
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
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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.
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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 http://students.maths.soton.ac.uk
−− 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
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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 Mathematics graduates are in high demand, nationally and internationally. The University Graduate Passport scheme and the Excel placement scheme will allow you to develop your skills alongside your degree programme, preparing you for your career, whatever that may be. Employability skills are embedded within our curriculum and the quality of our graduates is recognised by employers worldwide, including leading companies in aerospace engineering, transport, finance, banking, and IT. We are renowned for our close research links with business and industry and our Careers Service offers comprehensive and free advice to our students and recent graduates which extends 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.
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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:
“The graduate passport offers a plethora of transferable skills, in addition to valuable work experience which assisted me in achieving fulltime employment within the corporate finance division of a large professional services firm.� Gareth Killalea | BSc (Hons) Mathematics, 2013
Accenture American Express Argos Atkins plc BAE Systems BAT BHS Bluecrest Capital Management BT Centrex Civil Service Customs and Excise Deloitte (& lots of other accountants) Deutsche Bank Detica Ltd Diamould Ltd. DSTL F1 Motor Racing Friends Provident George Gale Google Inc Hampshire Constabulary HFC Bank Housing 21
IBM Jardine Lloyd Thompson JP Morgan Lloyds TSB Marks and Spencer Mercer Human Resources Consulting Micechef MoD National Air Traffic Control NHS Office of National Statistics PC Games Magazine Qinetiq Royal Navy Saga Scania Siemens South West Water TML UBS Urenco Various Schools Winterthur Life Zurich Network Insurance
Graduate Passport Scheme Along with good academic results, we want to help you stand out from the crowd. The University Graduate Passport Scheme offers a programme of over 60 personal development activities including the Active Citizen, Entrepreneur, Global Graduate and Developing Professional modules. The scheme is designed to recognise and reward students who wish to achieve and demonstrate their full potential while at Southampton.
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In addition the Excel Southampton Placement Programme provides a framework for motivated and talented students to obtain valuable work experience in a particular job sector. The placements take place over the Easter and summer breaks allowing students the opportunity to develop and hone their skills and attributes through a structured, paid, internship programme.
“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
Your student experience Our six campuses all offer a friendly, vibrant and diverse atmosphere for work and leisure.
−− Help local people: get involved in community volunteering projects and fundraising
Campuses
−− Socialise with friends in one of our bars or cafés on our campuses and in our halls of residences
Highfield Campus caters for most of our academic courses. Incorporating state-of-the-art research and teaching facilities, it boasts new and refurbished student facilities such as SUSU and the Jubilee Sports Centre. Avenue Campus houses a state-of-the-art purpose-built £3m archaeology Building and is located on the edge of Southampton Common, a short walk from Highfield. Southampton General Hospital is home to University Hospital Southampton NHS Foundation trust and is a major centre for teaching and research in association with the University. The national Oceanography Centre Southampton is our waterfront campus and is one of the world’s leading research centres for the study of ocean and earth sciences. Winchester School of art is located 12 miles north of Southampton, in Winchester city centre. The campus provides purpose designed studios and workshops, an extensive specialist library, Students’ Union facilities, a café and a well-stocked art supplies shop. Our branch campus for engineering is in eduCity, Iskandar in Malaysia and benefits from innovative world-class facilities for engineering and full access to the learning resources at our UK campuses. It offers undergraduate students the opportunity to study in a safe international environment. Social Life Run by students for students, SUSU, the University of Southampton Students’ Union off ers a wide range of services and opportunities for you to get the most out of your free time. −− Experience your Freshers’ – a week full of activities to help you settle in
−− See high-profile acts from Pixie Lott to Greg James −− Catch a film in our 330-seat cinema −− Dance the night away in our 1,700-capacity nightclub −− Become a DJ or director at Surge radio and SUSUtv −− Try out journalism for the Wessex Scene or The Edge magazines Accommodation Get the best out of your student life; stay in one of our 6,000 student rooms in halls. You can choose from a range of room types that includes a new development of over 1,000 rooms in Southampton city centre. Live in either self-catered halls of residence with well-equipped communal kitchens, or part-catered accommodation where you enjoy the benefits of breakfast and evening meals throughout the week, plus some other meals at the weekend. If you are a registered first-year undergraduate student new to the University, starting a full-time course, with no dependents, you will be guaranteed an offer of halls accommodation as long as you fulfil the full criteria of the guarantee, which includes applying before 1 august. To uphold the guarantee, in years of exceptional demand we may offer accommodation in a twin shared room at the start of the academic year for a short, temporary period of time. For more information on our guarantee to you, visit www.southampton.ac.uk/guarantee
Contact us
−− Discover a new talent: try some of our 78 sports clubs from archery to taekwondo
University Residences Tel: +44 (0)23 8059 5959 Email: accommodation@southampton.ac.uk
−− Join one of our 180 societies from performing arts to politics
www.southampton.ac.uk/accommodation
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“As social secretary of the University’s Circus Society I had a lot of fun, met some really great people and have learnt how to organise events effectively. I can also hula hoop fairly well now too!” Anna Fry | BSc Mathematics with French, Graduate 2013
Applying and funding General entry requirements
Tuition fees and funding
To apply for undergraduate study you must satisfy our general entry requirements and any specific requirements of your chosen programme. Typical entry requirements for applicants with GCE A-levels can be found online.
The University will set fees for 2014/15 when the government establishes limits for tuition fees. For 2013/14, the University set the tuition fee at £9,000, but we offer a large number of generous fee waivers and bursaries for eligible students.
How to apply
For students from lower income families, these financial packages will be based on household income supplied to us by the Student Loans Company.
Apply online at www.ucas.com the website for the Universities and Colleges Admissions Service (UCAS). Our UCAS code name is SOTON and our number is S27. All students should apply between 1 September 2013 and 15 January 2014. If you are an international student from outside the UK or EU, we may consider your application up until 30 June 2014. However, we cannot guarantee there will be vacancies on our courses after the January deadline. Admissions policy 1. The University of Southampton will:
Your tuition fee may cover compulsory course costs, such as field trips and laboratory clothing; however a contribution may be necessary towards certain elements. Please check with the Admissions team for more details. Visit our website for the latest information on tuition fees before you submit your UCAS form for entry in the 2014/15 academic year. Students who have applied for a deferred place in 2013/14 will be eligible for the 2014/15 tuition fees and support.
−− recruit students from a wide range of backgrounds, who we believe have the potential to complete their programmes successfully
If you are a UK student starting a higher education course in 2014/15, you can apply for loans to help pay for both fees and maintenance. For more details, visit www.southampton.ac.uk/money
−− attract applicants who enjoy the challenge of forward thinking, the excitement of research findings and our high education standards
For up-to-date information on tuition fees for international students, visit our website.
−− foster a diverse learning community in which our students will meet people from different cultures, thereby enhancing their skills of critical reasoning, teamwork and communication
Scholarships & bursaries
2. The University is committed to a system of admissions that ensures fairness, transparency and equal opportunities within the legal framework of the UK and best practice. All reasonable effort will be made to ensure that no prospective or existing student is unreasonably treated.
We offer a variety of scholarships and progression awards to the most talented students across our subject areas. For full eligibility criteria and up-to-date information, visit our website www.southampton.ac.uk/scholarships We also offer a generous range of bursaries designed to help UK undergraduate students in the most financial need. For more details and up-to-date information, visit www.southampton.ac.uk/bursaries
Contact us Tel: +44 (0)23 8059 4732 Email: admissions@southampton.ac.uk visit www.southampton.ac.uk/fees
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If you have any questions, please contact us: Admissions Tutor Mathematical Sciences University of Southampton Southampton so17 1bj Telephone: +44 (0)23 8059 5154 Email: UGapply.FSHS@southampton.ac.uk
Relevant web links are shown throughout the Mathematical Sciences Undergraduate Prospectus. Please also consult www.southampton.ac.uk/maths online for further details and/ or any changes which have appeared since first publication of the Mathematical Sciences Undergraduate Prospectus or phone +44 (0) 23 8059 5154 for more information. Disclaimer The University of Southampton w¬¬¬¬ill use all reasonable efforts to deliver advertised programmes and other services and facilities in accordance with the descriptions set out in its prospectuses, student handbooks, welcome guides and website. It will provide students with the tuition, learning support, services and facilities so described with reasonable care and skill. The University, therefore, reserves the right if it considers it to be necessary to alter the timetable, location, content or method of delivery of events provided such alterations are reasonable. Financial or other losses The University will not be held liable for any direct or indirect financial or other losses or damage arising from changes made to the event timetable, location, content or method of delivery of various services and facilities set out herein.
Force majeure The University will not be held liable for any loss, damage or expense resulting from any delay, variation or failure in the provision of services and facilities set out herein, arising from circumstances beyond the University’s reasonable control, including (but not limited to) war or threat of war, riot, civil strife, terrorist activity, industrial dispute, natural or nuclear disaster, adverse weather conditions, interruption in power supplies or other services for any reason, fire, boycott and telecommunications failure. In the event that such circumstances beyond the reasonable control of the University arise, it will use all reasonable endeavours to minimise disruption as far as it is practical to do so. © University of Southampton 2013 This information can be made available, on request, in alternative formats such as electronic, large print, Braille or audio tape, and in some cases, other languages. Please call +44 (0)23 8059 7726 to request an alternative format.
www.southampton.ac.uk/maths UK and EU enquiries: UGapply.FSHS@southampton.ac.uk +44 (0)23 8059 5154 International enquiries: global@southampton.ac.uk +44 (0)23 8059 9699