www.manchester.ac.uk/maths

MATHEMATICSENGINEERING AND PHYSICAL SCIENCES

THE UNIVERSITY OF MANCHESTER

1

• State-of-the-art facilities in a purpose-built£60m building

• Rated “excellent” for teaching quality inmathematics in the last national assessment

• Large range of lecture courses, informed bycutting-edge mathematics research

• Extensive small-group teaching in your first year

• Two active mathematics-themed student societiesoffer social activities and academic interest

• Most targeted UK university by top graduateemployers

• 4 million books in one of the UK’s bestuniversity libraries

• Guaranteed accommodation for all first-years

• The UK’s largest students’ union

FACTSCONTENTS

THE

INTRODUCING MANCHESTER 2

MATHEMATICS AT MANCHESTER 4

COURSE DETAILS 8

ENTRY REQUIREMENTS 11

SINGLE HONOURS MATHEMATICS DEGREES 18

STUDENT PROFILES 22

GRADUATE PROFILES 26

OTHER HONOURS MATHEMATICS DEGREES 30

YOUR FUTURE PROSPECTS 42

FUNDING 44

APPLYING 46

FIND OUT MORE ONLINE 48

CONTACT DETAILS 49

The staff are friendly andapproachable… their passion for the subject makes the lecturesengaging and interesting.Una GardinerMMath Mathematics

32

Proud and ambitious, down-to-earth and friendly, weoffer you a world-class learning experience that’srooted in a rich educational heritage at The Universityof Manchester. We focus on making things happen,turning enthusiasm into achievement and ground-breaking theory into cutting-edge practice.

Cutting-edge research and innovation feeds into ourcourses, while you’ll find countless opportunities forextra-curricular activities and skills development. Allthis and more at the heart of Britain’s most popularstudent city.

Learn more about uswww.manchester.ac.uk/aboutus

Manchester is known as the ‘original modern’ city,thanks to both its industrial revolution heritage andan enduring progressive, can-do attitude, resulting inideas that challenge convention, actions that changesociety, and attractions that capture the imagination.

We’re proud to be part of the UK’s most popularstudent city, which shakes up the music scene,nurtures cultural creativity, tantalises tastebuds,showcases international sporting achievements,encourages entrepreneurship, attracts big business,and entertains a sociable, multicultural communitywith warmth, wit and a lot of fun.

Discover Manchester from a student’s perspectivewww.manchester.ac.uk/cityofmanchester

University of Manchester students are a diverse andfascinating bunch, drawn from all corners of theglobe, united in their goal to build a better future forthemselves via a world-class educational experienceof a lifetime.

Those who thrive best learn quickly how to balancethe demands of a rigorous education with theattractions of a sociable student city, byenthusiastically making the most of the multitude ofresources and opportunities we have to offer.

Meet some of our students, graduates and staffwww.manchester.ac.uk/ug/profiles

The world of higher education is changing. To achieve your fullest potential as a graduate, younow need more than a strong academic qualification.

That’s why our student experience is geared towardsgiving you practical skills, personal developmentopportunities and a professional network ofcolleagues and friends that will set you up for successthroughout your life.

Discover the Manchester experiencewww.manchester.ac.uk/ug/manchesterexperience

MAKING THINGS HAPPEN MORE THAN A DEGREEOUR UNIVERSITY

MANCHESTERINTRODUCING

YOUR EXPERIENCEOUR CITYORIGINAL MODERN

OUR STUDENTSAMBITIOUS AND PROACTIVE

Access online or order a copy of our 2013 prospectus:www.manchester.ac.uk/ug/courses/prospectus

FIND OUT MORE

Join our University of Manchester Aspiring Student Society:www.manchester.ac.uk/umass

GET A HEAD START

54

• One of the largest, most respected schools of mathematics in Britain

• A new building, purpose-built andincorporating excellent facilities

• A portfolio of high-quality flexible SingleHonours and Combined Honours degrees,with a large range of lecture course options

• Strong traditions of good relations betweenstaff and students, and a high standard ofpastoral care

WHY MANCHESTER?With an excellent reputation for teaching andresearch, brand-new facilities and great staffexpertise, our School of Mathematics has a greatdeal to offer you. We are one of the largest suchacademic schools in the UK, with more than1,000 undergraduates, 200 postgraduates and 70academic staff – all forming a welcoming, sociableand supportive community.

An outstanding reputationFrom its inception, our School has always been wellknown for the quality of our teaching and degreeprogrammes. Excellent resources enable us to offerconsiderable small-group teaching in your first yearwhile you adjust to university life, with its moreindependent style of learning. In addition, thenumber and quality of academic staff in our Schoolmean that you have a huge range of options in yourthird and fourth years, giving you the freedom tospecialise in whatever area of mathematics you wish.

We continue to maintain a truly excellent internationalresearch reputation; our staff work actively withcolleagues in other Schools and universities, both inthis country and abroad, and with various industrialorganisations. This liveliness and breadth of research isreflected in the lecture courses on offer; indeed, manythird and fourth-year options reflect the currentresearch interests of members of our staff. In the mostrecent Research Assessment Exercise (2008), ourSchool scored strongly in all three ‘units ofassessment’, Pure Mathematics, Applied Mathematicsand Statistics, which puts us firmly in the top tenplaces for Mathematics.

As well as carrying out research, our academic staffteach undergraduate and postgraduate courses,supervise the work of research students and researchassistants, and undertake various administrative jobs,including working as admissions tutors, speaking atopen days and interviewing at visiting days.

What will you gain from Manchester?Our aim is to provide a wide variety of high-qualitydegree programmes for students of goodmathematical ability. On completion of your degree,you will have a knowledge of such basic ideas asrigorous argument, formal proof and the power ofabstract formulation of problems, together withdeeper ideas in those areas of mathematics in whichyou have decided to specialise. You will also havebeen introduced to applications of mathematics,computing skills and the use of IT resources, and youwill have developed your ability to work independently.

We are also in the unique position of having arrangedmembership of the Institute of Mathematics and itsApplications for all our School’s undergraduates, soyou will have all the benefits of membershipthroughout your time as a student.

MATHEMATICS AT MANCHESTER

76

Friendly, dedicated supportWe strive to provide you with a friendly workingenvironment. As a new student, you are assigned to aparticular member of the academic staff who acts asyour academic advisor throughout your degree. Thisadvisor’s role includes supervising your academicprogress, advising on choices of options and assistingwith any problems which may arise, be theyacademic, financial, personal or otherwise. You meetwith your advisor on a regular basis, so you can feelconfident that there is a member of staff who takes adirect personal interest in your progress and to whomyou can turn for help or advice at any time.

We value our students and strive to make everyaspect of academic life run as smoothly as possiblefor you, particularly with regard to the undergraduatecourse units. There is strong student representationon the School staff-student liaison committee, andalso on the School Board, which is the main forumfor School policy discussions.

Our second- and third-year students also run a studentmentoring scheme (called PASS) to help first yearssettle into the School and into university life and work.

The student-run Mathematics Society (Mathsoc),which is open to all our undergraduates, organises awide variety of regular social activities. The GaloisGroup, which arranges a varied and stimulating seriesof fortnightly mathematical lectures, is also run byour undergraduates.

Study resources and facilitiesDuring the summer of 2007, the School ofMathematics moved into a new, purpose-built home.We are very pleased to be in this £60 million building,based at the heart of the University campus. Studentsand staff benefit from extensive facilities forcomputing and study, relaxation and refreshment, inan attractive, light, comfortable environment.

Our School has a number of computer clusters, whichrun the standard software, as well as powerfulmathematical and statistical software packages (suchas Matlab, Minitab and Mathematica). Thesepackages are used in some lecture courses and youcan use them for project work and homeworkassignments. All of our students have free access toemail and the internet. There is also a large computercluster in the University Library and clusters in most ofthe halls of residence. All student rooms also have ahigh-speed Ethernet connection.

You will have access to the extensive stock and state-of-the-art facilities of our University Library, which isone of the largest academic libraries in the UK. Theprincipal working collections in mathematics, science,medicine, the humanities, social sciences and lawcomprise over one million books. A wide range ofreader services is available, in addition to the loan ofbooks, including extensive photocopying facilities.

You also have the opportunity to study abroad forone semester, or exceptionally a whole year, at auniversity in Australia, Canada, Hong Kong,Singapore, or the USA.

Several of our degree programmes (G1NH/J, G1N2and G1N3) involve lecture courses taught by theUniversity’s internationally renowned ManchesterBusiness School.

As you will see, in the School of Mathematics weprovide a high-quality educational experience in afriendly, supportive environment.

98

DETAILSCOURSE

This compulsory material forms the Single HonoursMathematics core and is covered in the first threesemesters up to the midpoint of your second year.It enables you to develop your capacity to learn and apply mathematical ideas, to understand thesignificance and power of mathematics, and toacquire a thorough knowledge and understanding ofthose mathematical topics that any employer wouldexpect of a mathematics graduate.

After the first three semesters, a wide range ofoptions is available, within Mathematics as well asoutside the subject, allowing you to arrange as variedand broad a mathematical education as you want.The two degrees at the heart of our provision are BSc Mathematics and MMath Mathematics.

The traditional three-year BSc (Hons) Mathematicsdegree (UCAS code G100) is very flexible and is anexcellent course for students who wish to maintainthe widest choice of career options in mathematics.MMath stands for the Master of Mathematicsdegree, which is an undergraduate masters degree.The four-year MMath (Hons) Mathematics degree(UCAS code G104) is also flexible, and provides inaddition the experience of working to a higher levelin selected areas of mathematics. It is particularlyappropriate for those who wish to undertakepostgraduate studies, conduct mathematicalresearch, or work as a professional mathematician in industry, commerce, or higher education.

Our undergraduate degreesWe offer a wide variety of full-time undergraduatedegree programmes. These are divided into twogroups: Single Honours Mathematics degrees andOther Honours Mathematics degrees.

This admissions brochure describes the degreeprogrammes, entry requirements, scholarships andother details for students starting in September 2013.The information given here is correct to the best ofour knowledge, but please note that some changesmight take place before you start with us, inparticular to the lists of course unit options available.Should you wish to defer your entry, you shouldconsult the brochure for the appropriate year, when it becomes available.

Single Honours degreesThese degrees are constructed around a core of basicmathematics that provides fundamentalmathematical knowledge and skills, and forms thebasis for more advanced work in later years.

Within the framework of these two Single Honoursdegrees, you can opt to construct a broad mathematicalprogramme. Alternatively, if you so wish, you cantake one of the more specialised Single Honours BSc(three years) or MMath (four years) degrees listedabove (with their UCAS course codes).

For all Single Honours degrees, the BSc andcorresponding MMath programmes have the first twoyears in common, so change between them ispossible at any time during your first two years. At the end of your second year, you decide whichdegree to proceed to in the third year; usually, youmay take the MMath only if you have done wellenough in your second year.

As their titles suggest, these more specialisedprogrammes give you the opportunity to study aparticular mathematical topic to a greater depth (iestatistics or financial mathematics). They involve someextra core course units from the second year onwards(see later in this brochure for further details), so yourchoice of options in other areas of mathematics willbe more restricted. One of these degrees would besuitable if you have a particular career in mind (egworking for a financial institution). All the SingleHonours Mathematics degrees are described in detaillater in this brochure.

Single Honours degrees Duration UCAS Code Page

BSc

Mathematics 3 years G100 18

Mathematics and Statistics 3 years GGC3 20

Mathematics with Financial Mathematics 3 years G1NH 21

MMath

Mathematics 4 years G104 18

Mathematics and Statistics 4 years GG13 20

Mathematics with Financial Mathematics 4 years G1NJ 21

A/AS-levels As already stated, we will normally ask for grade A* in Mathematics A-level. In addition:

a) If you are taking Further Mathematics A-level (FM), we typically ask for grades BB in this and one other A-level (making an A*+BB offer altogether); we might instead make you an offer of A + AB (including FM).

b) If you are taking Further Mathematics AS-level, we will ask for grade A in this. In addition, we normally require grade A* in Mathematics plus BB in two other A-levels; we might instead require A in Mathematics plus AB in two other A-levels, but insist that you achieve grades AB or better in C3 and C4 in either order.

c) If you are not taking any Further Mathematics, we normally ask for A* in Mathematics plus AB in two other A-levels, but might instead require A+AA and insist that you achieve grades AA in C3 and C4.

For G1R9, we will specify that the required language is one of the A-levels in the offer (whether it is a, b, or c above) and you will therefore need at least a grade B in this.

Note that we will never include General Studies in any offer. In place of the third A-level, we will normally accept a pass in the core of the Welsh Baccalaureate or (exceptionally) two AS-levels with grades AB or better.

Entry requirements Typical requirements for entry into each degree are detailed below (see pages 9 and 10 for the UCAS codes for each degree). Even though the typical offers may be similar across our range of degrees, we emphasise that each application is considered separately on its own merits and each offer is individual. We also have separate English language requirements, listed on p12.

The fundamental requirement for all our degrees is a high standard in mathematics. If you are to satisfy the entry requirements via GCE A-levels, you must obtain a grade A in Mathematics A-level, along with additional requirements in mathematics, in English (see p12 and p45) and in other subjects. The additional requirement in mathematics will depend on whether you are taking Further Mathematics as an A-level, as an AS-level, or not at all. (Note that any mathematics you study over and above the A-level is an advantage and is encouraged; however, it is not a requirement.)

Part or all of the additional requirement will be that we normally ask you to obtain an A* grade in Mathematics A-level. We will sometimes require only an A grade, but we will then ask for good grades in Further Mathematics and/or units C3 and C4 of the Mathematics A-level. We will NOT ask you to take Step or AEA papers.

If you are applying for the BSc Mathematics with a Modern Language (UCAS code G1R9), we will ask for a language qualification in the “required language” as part of your offer. This required language is French, if that subject is to be studied. If you wish to study German, Italian, Japanese, Russian, or Spanish, the language required for the post A-level programme (see p36) is your chosen language, or is any modern language for the beginners’ version of the degree.

Other Honours degrees These degrees combine mathematics with another main subject. One of these may be your best choice if you are good at mathematics and wish to pursue another subject to the same level, either for career reasons, or for personal development. You should note, however, that in combined degrees there is little scope for taking course units from outside the two main subjects.

These combined degrees come in three flavours: ‘and’ degrees, which normally combine the two subjects on a 50-50 basis; ‘with’ degrees, which are normally two-thirds mathematics and one-third of something else, and the remaining two degrees G1N3 and NG31. Since much of the material you need to learn for Finance and Actuarial Science is Mathematics or Statistics, these two programmes have a rather smaller component from outside Mathematics than their names would suggest (see p31 and p34-35 for details).

If you do well enough in the mathematics component of these combined programmes, you can usually, if you wish, transfer to Single Honours Mathematics at the end of your first year.

All these degrees that involve combinations of subjects are listed above (with their UCAS codes) and are described individually later.

10 11

Single Honours degrees Duration UCAS Code Page

BSc  

Mathematics with Finance 3 years G1N3 31

Mathematics with Business and Management 3 years G1N2 32

Actuarial Science and Mathematics 3 years NG31 34

Mathematics with a Modern Language 4 years G1R9 36

Computer Science and Mathematics 3 years GG14 38

Computer Science and Mathematics with Industrial Experience 4 years GG41 38

Mathematics and Physics 3 years FG31 39

Mathematics and Philosophy 3 years GV15 40

MMath & Phys  

Mathematics and Physics 4 years FG3C 39

 

1312

International BaccalaureateTypically, we will ask for 36 points overall; of these 18 or more should be at Higher Level, including 6 in Mathematics and also including (for G1R9 only)5 in the required language.

Scottish Highers/Advanced HighersYou must obtain grade A in Advanced Highers inMathematics. In addition, we will typically ask forgrades AB in each of two other Advanced Highers, or grades AAAB in four Highers, or some equivalentcombination of Advanced Highers and Highers with topgrades. For G1R9, you will need (as part of the above)the required language at grade B in Advanced Highers.

Other qualificationsPlease enquire for details if you are taking theEuropean or French Baccalaureates, German Abitur,Cypriot Apolytirion, BTEC, Irish Leaving Certificate, or other national examination.

Mature studentsWe welcome applications from mature students. Wewould look for evidence that you are able to achievesuccess on a demanding full-time programme, as wellas evidence that you have the required mathematicalability and knowledge. You may find it helpful tocontact an admissions tutor for advice beforesubmitting an application through UCAS.

Deferred entrySome students benefit from a year away fromacademic work between school and university.Accordingly, we welcome applications fromprospective students of good ability who wish todefer entry to our University for one academic year,or those who are currently on such a gap year.

English language requirementsYou must have an approved English languagequalification, which can be one of severalpossibilities. These include IELTS or TOEFL (see belowand p45), or by achieving at least a grade C in GCSEEnglish Language, in UCLES Cambridge AdvancedCertificate, or in Scottish Certificate of EducationEnglish. Contact our admissions staff for advice if youhave, or are taking, an alternative qualification.

For G100, G104, G1NH, G1NJ, GG13 and thenon-Finance pathway of GGC3IELTS 6.0 overall (with at least 6.0 in Writing and 5.5in each other component) Internet-based TOEFL 80 (with at least 20 in eachcomponent)

For G1N2, G1N3, NG31, GV15 and theFinance pathway of GGC3IELTS 6.5 overall (with at least 6.0 in Writing and 5.5in each other component) Internet-based TOEFL 90 (with at least 22 in eachcomponent)

For G1R9IELTS 7.0 overall (with at least 6.0 in eachcomponent) Internet-based TOEFL 100 (with at least 25 in eachcomponent)

The higher requirements for G1N2, G1N3, G1R9,NG31, GV15 and for the Finance pathway of GGC3are necessary because of the considerable amount ofreading and essay writing that lecture course units onthese degrees involve.

Teaching and learningThis section gives a brief overview of how we teachand examine topics in our School. More detail can befound on later pages.

Your teaching year is split into two semesters, eachconsisting of 12 teaching weeks, followed by aperiod for revision and examination. The firstsemester starts in mid-September and the second at the beginning of February.

Most course units are taught by lectures (normallytwo, three, or four per week) with an associatedsupport class to provide individual assistance,although there are some variations on these basicarrangements. Typically, you will have up to 12 lectures and about five support-class hours perweek. Support classes are either tutorials, in whicheight to 12 students and a member of staff discussmathematical problems in some detail, or examplesclasses, in which you work on a problem sheet with a group of other students and get help from staff asrequired. You can also consult individually withlecturers and tutors about your work. It is importantto realise that each one-hour lecture normallyrequires at least two hours of associated work (on thelecture notes, examples sheets and textbooks and justthinking about the material!).

A ten-credit course unit normally consists of twolectures a week, plus one support class. If you pass sucha course unit, you will earn ten credits. Some larger(15- or 20-credit) course units involve proportionatelymore work. You will normally be expected to earn120 credits in each year of your degree, via acombination of 10-, 15- and 20-credit course units.

There are two sets of examinations in each academicyear, in January and May/June. Many lecture courseunits, including all first-year and second-year courseunits, incorporate some continual assessment (usually15-20%), which contributes to the final mark for thatcourse unit. In order to proceed from one year to thenext, you need a satisfactory result, but students whofail at their first attempt may normally re-sitexaminations in August.

As well as our standard taught course units, weincorporate a number of elements aimed atextending your skills in ways that will help in yourfuture. Of particular note is our Career ManagementSkills course unit, which is run in collaboration withthe University’s Careers Service. This will build yourpresentation skills, group interaction skills, and jobapplication skills, such as CV writing, that will helpyou obtain and retain a job when you graduate.

We will help you with the transition to undergraduatemathematics in a number of ways. Our small groupteaching, Mathematics Workshop, and studentmentoring scheme run by second- and third-years,will all help you to settle in as smoothly as possible.

1514

First-year portfolioIn this section we describe the first-year core courseunits in mathematics that we are offering to ourstudents entering in September 2013.

In the first year, all Single Honours students take theSingle Honours Mathematics core. This consists oftwo 20-credit course units and two ten-credit courseunits in each semester (see the information on creditson p13). The material covered in these units isdescribed briefly below.

Most other Honours students will take a separateportfolio of core course units designed specially fortheir particular degree. These units cover the samerange of basic material as the Single Honours core, butwith some reduction in breadth. Which course unitsare taken will depend on the degree; this is describedin detail, for each degree, later in the brochure.

Single Honours Mathematics core course units

Semester 1

Sets, Numbers and Functions (20 credits)

One of the main differences between mathematics atuniversity and beforehand is the emphasis on proofsat university. This course unit explores what a proof isand how to construct proofs. Various methods ofproof are considered, including proof by inductionand proof by contradiction, and the language of setsand functions is introduced. The general ideas in thiscourse unit are introduced in the context of numbertheory: an area of mathematics that includes some ofthe most famous mathematical problems (such as therecently proved Fermat’s Last Theorem).

Calculus and Vectors (20 credits)

Differentiation and integration are key ideas whoseinfluence pervades almost the whole of mathematics.This course unit builds on the pre-university study ofthese ideas and takes it further. This involves thestudy of standard functions, such as the circularfunctions sine and cosine, the hyperbolic functions,the exponential function and the logarithm, bymeans of their Taylor series. An exciting newperspective is provided when these functions areviewed in the context of complex numbers,illustrating an approach that you will use extensively insome later course units. Many of the applications ofthe calculus also make use of vectors and so you willacquire a good working knowledge of the geometryof three-dimensional vectors and vector calculus.

Probability 1 (10 credits)

Uncertainty and randomness are present throughoutthe world we live in. Probability theory provides aframework for quantifying and assessingrandomness. Probability is used to gain anunderstanding in a wide variety of fields ranging fromfinance to genetics. This course unit introduces thebasic ideas and techniques of probability, includingthe handling of random variables and standardprobability distributions and the crucial notions ofconditional probability and of independence.

Semester 2

Linear Algebra (20 credits)

Linear algebra is the part of algebra that builds uponthe study of systems of linear equations (also calledsimultaneous equations). The techniques of linearalgebra are fundamental in many applications ofmathematics, including mechanics and statistics, andthe theory also underpins much pure mathematics.The main tool in the study of linear equations is thetheory of matrices. This course unit develops the theoryof matrices and their applications to linear equations.

Calculus and Applications (20 credits)

A mathematical model of a real-life problem oftenleads to a differential equation, that is, an equationinvolving the derivatives of a function. Themathematical problem is to solve this equation (ie tofind from the equation what the function is), or atleast to determine some properties of the function.This course unit introduces differential equations andgives a variety of applications to the physical world.

Introduction to Statistics (10 credits)

Statistics is the analysis and interpretation of data.Statistics is underpinned by probability theory and isused to understand data across the biological, socialand medical sciences. In this course we develop aknowledge of basic statistical concepts andmethodology which build upon the ideas inProbability. We introduce you to the basic ideas ofhow to summarise information in a random sampleand how to use this to make reasonable inferencesabout the population characteristics.

Sequences and Series (10 credits)

This lecture course introduces the concept of a limitin the setting of sequences and series. It lays thefoundations for the second year study of analysis,which is the rigorous treatment of calculus, one ofthe highlights of 19th century mathematics. Topicsinclude tests for the convergence of sequences andseries, standard series and the radius of convergenceof a power series.

Throughout the first semester, we offer Single-Honoursstudents a skills course unit:

Mathematics Workshop (10 credits)

This course unit complements the material covered inthe other first-year lecture courses and enables you todevelop problem-solving and study skills. You workindividually and in groups on mini-projects and becomefamiliar with mathematics computer packages, aswell as developing your mathematical writing skills.

Core course units for other HonoursMathematics degreesThese core course units cover the same range of basicmaterial as the Single Honours core course units, butwith the 20-credit units replaced by 15-credit units thathave some reduction in breadth. See p30 for the detailsof which course units are required in each degree.

1716

Second-year portfolioIn your second year, you begin to choose yourmathematical direction, aided by the wide choice ofoptions we have available.

Semester 1

Single Honours students take the Single Honourscore, consisting of two 20-credit course units andtwo ten-credit units:

Real and Complex Analysis (20 credits)

This course unit builds on the first year Sequencesand Series unit to develop the rigorous underpinningof the calculus already studied, essential for moreadvanced work. It also extends the ideas of thecalculus to complex numbers that leads, surprisingly,to new techniques for evaluating real integrals.Complex analysis has applications acrossmathematics, from fluid mechanics to number theory.

Partial Differential Equations and Vector Calculus(20 credits)

This course unit aims to introduce you to moreadvanced ideas of differential and integral calculus,building on the first-year Calculus units. The methodsemployed in the course unit will prove essential for allthe more advanced applied mathematics options. Themain topics to be explored are: volume and surfaceintegrals; Fourier series; partial differential equations;Frobenius' solution of ordinary differential equations;vector calculus; tensors; and numerical methods.

Probability and Statistics (10 credits)

This course unit continues the development ofprobability and statistics from the first year, so that allstudents on the Single Honours programme have thebasic grounding in the area that would be expectedof a mathematics graduate. It provides a solid basisfor a wide variety of options later in the degree forstudents who wish to take their studies in probabilityand/or statistics further.

Algebraic Structures 1 (10 credits)

Algebra is the branch of mathematics that deals withgeneral properties of numbers, and considersgeneralisations to other situations where ideas ofaddition and multiplication can be given meaning.This course unit focuses on ‘groups’, mathematicalstructures that are fundamental to the study ofsymmetry in a variety of contexts. There areapplications across mathematics, from geometry andnumber theory, to particle physics.

Other Honours students take course units from aMathematics core covering the same basic range ofmathematics, as well as course units from the otherdiscipline, the selection depending on the particulardegree. Students on the “and” degree programmes(except NG31) and G1R9 (see p36) take Real andComplex Analysis as two ten-credit units instead,studying the complex analysis part in the secondsemester.

Semester 2

The Single Honours Mathematics degrees G100 andG104 contain no compulsory course units. You arefree to take any six of the following (ten-credit) options:

• Introduction to Financial Mathematics

• Foundations of Modern Probability

• Statistical Methods

• Random Models

• Practical Statistics I

• Discrete Mathematics

• Calculus of Several Variables

• Fluid Mechanics

• Classical Mechanics

• Numerical Analysis I

• Propositional Logic

• Algebraic Structures II

• Introduction to Geometry

• Metric Spaces

• History of Mathematics

• Leadership in Action

In this semester, the specialised Single Honoursdegrees and our other degree combinations normallyspecify some mathematics units from the above list.See the individual degree description for more details.Single Honours students may also replace up to 20 credits of mathematics course units with unitsfrom other disciplines. Thus, you can gain skills inanother subject (eg accountancy, a language, ascience, or music) without committing yourself to a fixed combination of two disciplines.

Third- and fourth-year portfolioYou choose course units from a huge range ofoptions, and can also undertake projects.

The wide range of options available allows SingleHonours students the opportunity to construct final-year programmes that are as broad or as narrowas they require.

In the final year of the BSc Mathematics degree, youmay also take up to 40 credits of second-year oroutside course units, provided there are at least 100 credits of course units at third-year level. Thosedoing the MMath can normally take at most ten creditsoutside Mathematics in each of the last four semesters.

In Mathematics, some of the level three course unitsare complete in themselves, while others find theirculmination in subsequent level four course units.Thus, some units are suitable for students on bothdegrees, while others are more appropriate to thoseon one or other degree. The level four course unitsusually involve a study of material in greater depthand with a greater degree of mathematicalsophistication; however, some level four course unitsare suitable for third-year BSc students.

For 2012-2013, we offer more than 45 options atlevel three and another 35 options at level four.Although this range of choice may seemoverwhelming, your academic advisor will always bewilling to discuss your options with you.

Examples of course units available at this level are:

• Coding Theory

• Hyperbolic Geometry

• Mathematical Modelling in Finance

• Mathematical Biology

• Wave Motion

• Martingales with Applications to Finance

• Medical Statistics

• Gödel’s Theorems

• Predicate Logic

• Galois Theory

• Career Management Skills

1918

SINGLE HONOURS MATHEMATICSDEGREESOur traditional Mathematics degrees are still the mostpopular, and most flexible, of our BSc and MMathdegrees.

We offer two traditional Single Honours degrees inMathematics: a three-year BSc (Honours) degreeprogramme (UCAS code G100) and a four-yearMMath (Honours) degree programme (UCAScode G104).

The first two years of study are common to bothdegree programmes, but they diverge thereafter.Change between them is therefore possible at anytime during the first two years. You will need a goodexamination performance in your second year inorder to continue with the MMath.

In general, the BSc degree gives you a good all-roundknowledge of a wide range of mathematical topics,and is the most flexible programme in terms ofoptions. The four-year degree retains most of theflexibility, but also gives you the experience ofworking to a higher level in selected areas ofmathematics, and is particularly appropriate for thosewho wish to work as professional mathematicians inindustry, commerce, or higher education.

Within the general framework of these programmes itis possible, with an appropriate choice of options, foryou to construct a more specialised degree. Somemore specialised pre-defined pathways can lead to adegree with a different title (see p20-21 and p8-9which have more details about this). You may transferonto these more specialised degrees at the end of yourfirst year – or, indeed, at any stage, so long as youhave selected the appropriate course unit options.

Degree structureIn each year you must earn 120 credits by taking acombination of ten and 20-credit course units. In thefirst year, and in the first semester of your secondyear, the programme consists of the Single HonoursMathematics core (see p14-15) for both the BSc andMMath degrees. In exceptional cases, you may seekexemption from a first-level course unit if you candemonstrate a sufficiently high level of competence;and, if appropriate, you may take one or moresecond-level course units instead.

After the first semester in year two, you have a widechoice of course units from both within and outsideour School, which makes for considerable flexibility(see p17). It is normally possible to take up to 20 credits of outside course units. A wide range ofdisciplines is available, either building on previousstudy, or starting something new. Popular choices inrecent years have included course units in accountancy,computer science, economics, education, variouslanguages, music, physics, psychology and sociology.The possibilities are almost endless; often the onlyconstraint is fitting the course unit into your timetable.

In the third year of the BSc Mathematics degree, allunits are optional and your programme may includeup to 40 credits of second-year or outside courseunits. Your choice of course units must include 100 credits at level three, but some of these can beoutside mathematics (see p17). Some, but not all, ofthe level four course units will be available to third-year BSc students.

In the third and fourth years of the MMath Mathematicsdegree, all course units are optional, except that thefourth year must include 30 credits of project work(the most rewarding part of the programme for manystudents). Over the two years, you must include atleast 90 credits of level four Mathematics courseunits, in addition to your project work.

You have some flexibility about when you may takeMathematics course units: some level four units maybe taken in the third year, allowing you to specialiserapidly in an area where you have a particular interestand ability. If you do this, it is then possible to takelevel three units in your fourth year, allowing you tobroaden your programme of study. You may take upto 20 credits of outside course units in each year.

2120

MATHEMATICS AND STATISTICSOur Mathematics and Statistics degrees have beendesigned to meet the growing demand in business,medicine and government for Mathematics graduateswith a substantial knowledge of statistics.

We offer two Single Honours degrees in Mathematicsand Statistics: a three-year programme leading tothe BSc (Honours) degree (UCAS code GGC3), anda four-year MMath (Honours) degree programme(UCAS code GG13).

These degrees are accredited by the Royal StatisticalSociety, so that graduates qualify automatically forthe Society’s Graduate Statistician status, which canthen lead to the Chartered Statistician status. Inaddition, our BSc degree has an optional ‘Finance’pathway, which includes specific course units onFinancial Mathematics and Financial Statistics, as wellas options in Business and Management. (Note thatthis pathway therefore has an English Languagerequirement which is the same as the Mathematicswith Business and Management degree – see p12.)

Degree structureThese two Mathematics and Statistics degrees areidentical in structure for the first three semesters tothe Mathematics degrees described on p18-19. Afterthat, your Mathematics options must include anappropriate number of course units in probability andstatistics, and in finance. You will also take StatisticalMethods and Random Models in semester four.

• Semester four options must also include PracticalStatistics I on the non-Finance pathway, andIntroduction to Financial Mathematics on theFinance pathway

• On the Finance pathway, 20 of the remaining 30 credits in the second year can be level onecourse units in business and management, such as Fundamentals of Financial Reporting andFundamentals of Management Accounting

• The third year of the non-Finance BSc must includeat least 60 credits of probability and statistics atlevel three or four

• On the Finance pathway, the third year mustinclude 20 credits of core Financial Mathematicsand Financial Statistics, and at least 30 creditsmore in probability and statistics. It is also possibleto take a level two 20-credit course unit inBusiness and Management

• The third and fourth years of the MMath degreemust include at least 80 credits of probability andstatistics at levels three and four; in addition, thefourth-year project must be in this area

For more details, see p8 and p18-19.

MATHEMATICS WITH FINANCIAL MATHEMATICSOur Mathematics with Financial Mathematics degreesare intended for students who are interested inlearning about some of the recent applications ofmathematics to the financial sector, with a view topursuing a career in this area.

We offer two Single Honours degrees in Mathematicswith Financial Mathematics: a three-yearprogramme leading to the BSc (Honours) degree(UCAS code G1NH) and a four-year MMath(Honours) degree programme (UCAS code G1NJ).

Students on these degrees acquire a workingknowledge of modern financial mathematics as it isapplied in banks, broker companies and insurancecompanies, as well as in the financial departments ofnational and international companies. These degreesinclude some course units given by the ManchesterBusiness School. However, there are not as manycourse units outside Mathematics as there are in theMathematics with Finance degree (see p31).

The MMath degree is particularly well suited tostudents who wish to undertake postgraduate workin financial mathematics, or to move intomathematical research in the financial sector.

Degree structureThese two degrees are identical in structure to theMathematics degrees described on p18-19, exceptthat the Mathematics options must include anappropriate number of course units in financialmathematics:

• Second-year options must include the ten-creditcourse units in Fundamentals of FinancialReporting (which, in the first semester, replaces theAlgebraic Structures I unit), Fundamentals ofManagement Accounting and Introduction toFinancial Mathematics

• The third year of the BSc degree must include atleast 60 credits of financial mathematics oraccountancy and finance

• The third and fourth years of the MMath degreemust include at least 80 credits of financialmathematics or accountancy and finance; inaddition, the fourth-year project must be in this area

For more details, see p8 and p18-19.

2322

Muhammad, usually known by his middlename Irfaan, is from Mauritius. He took A-levels in Maths, Further Maths,Accounting and Economics, and is currentlyin the first year of the BSc (Hons) degree inActuarial Science and Mathematics.

“I chose this course because actuaries areexperts in risk who work in an ever-changing environment, so an actuarialcareer is one of the most diverse, excitingand rewarding in the world.

“As an international student, choosing auniversity in the UK was a difficultdecision. I based my decision on theUniversity’s high ranking and the diversityof the course content. I have found thelecturers to be very welcoming, friendlyand easily approachable. The wholelearning atmosphere was highly conducive

and made it easier for me to adapt to anew culture.

“What I particularly like about the teachingstaff is that they are all experts in theirrespective fields. There is a good mix oftheory and practical content throughoutthe course and the School makes sure thatthey take account of students’ opinionsthrough the student reps.

“All in all, coming to study ActuarialScience and Mathematics at The Universityof Manchester has been one of my bestdecisions and it is just getting better with time.

Muhammad Bhankarally

Alice is from Nottingham, and she studiedMaths, German, Physics and Art at A-level.She is in the second year of the four-yearBSc (Hons) degree in Mathematics with aModern Language.

“I wanted a degree which allowed me tobe flexible with the subject areas studiedand I have found that Maths with aModern Language allows me to do justthat. Whilst studying Mathematics I havelearnt more about the applications of thematerial that I studied at A-level, andcombining my degree with German hasallowed me to continue studying twosubject areas that I am passionate about.The opportunity of spending my third yearin Germany is also an added bonus!

“Manchester is one of the few universitieswho offer this degree and, as soon as

I attended the visiting day, I knew it waswhere I wanted to be. The facilities in theAlan Turing Mathematics Building were thebest I had seen and I was impressed by theoverall atmosphere. I also fell in love withthe city when I visited; what with the CurryMile and Chinatown, the mixture ofculture in Manchester is brilliant.

“Manchester has a great reputation and,from my experience here thus far, it is verywell deserved. The teaching has beenfantastic and the support within theMathematics Department from academic advisors has been brilliant.

Alice Oatway

Joe is from Watford, where he studiedMaths, Further Maths, Physics and Musicat A-level. He is currently in the third yearof the four-year MMath in Mathematics.

“I chose to study at The University ofManchester because of the quality of theSchool of Mathematics, combined with thescope and diverse range of course unitchoices in the second, third and fourth years,as well as the opportunity to study in oneof the most incredible cities on the planet!

“For me, the best thing about thisUniversity is that I just feel at home here;there's a very strong sense of community,which is unusual for such a large university,especially since Manchester has the largeststudent body in the UK.

“Student life in Manchester is out of thisworld! Due to the size of the universityand the city, there really is everything youcould imagine on offer, not only in termsof extra-curricular opportunities from theuniversity itself, but also due to the natureof the city as a cultural centre in allrespects. The nightlife is incredible andManchester boasts some of the top clubsin the UK. All I'll say is that it is impossible to get bored!

Joe Bronstein

STUDENT PROFILES

2524

Orla is from Belfast, where she studied A-levels in Maths, Further Maths, EnglishLiterature and Spanish. She is currently inthe first year of the four-year MMath inMathematics.

“I think a degree in mathematics isindispensable because it teaches so manytransferrable skills. Thus I chose SingleHonours Mathematics partly to keep myoptions open in terms of a career, but alsobecause it will always challenge me; onceone problem is solved, there’s always afurther, more difficult question to beanswered.

“Manchester was my choice because theSchool of Mathematics is accredited for itsexcellence, so I knew I was going to beoffered a high standard of teachingaccompanied by a wide range of courseunits. Furthermore, I was excited to live in

such a diverse city; you get to meet peoplefrom all over the globe.

“I live in Fallowfield and I’m really enjoyingstudent life. I’ve met so many new peopleand there is always something going onmaking it impossible to get bored orlonely! The nightlife is so varied thatthere’s something for everyone. With thebiggest student body in the UK, itsometimes feels as if Manchester isdesigned for students. Also, there’s such awide scope of clubs and societies that it’seasy to find something that you’ll love to get involved with.

Orla Weir

Weijian Zhang, who likes to be called Bill, isfrom Liaoning in China, and studied Maths,Further Maths, Physics and English on theNCUK Foundation Year. He is currently inthe second year of the BSc (Hons) degree inMathematics with Finance.

“I’ve always loved mathematics and reallywant to learn more about it. The reasonwhy I chose this combined programme isthat I believe learning some financecourses will make me more employable.

“I chose The University of Manchester for itsgood reputation and because Manchesteris a lovely city for students to study in. It isactually rather wonderful that students comefrom all over the world to this University, andyou can make friends from different countriesand understand many different cultures.

“Students can find everything they need inManchester, and the University Library iswonderful. Also, Manchester is an opencity, which offers a large number of part-time jobs and volunteering opportunities.

“As an overseas student, I find the peoplein UK are very friendly and you feel verysafe in UK. My advice to someone thinkingof applying to The University of Manchesteris that this is a great University and it is well worth an application.

Weijian Zhang (Bill)

Nicki is from Sheffield, and she studiedMaths, Further Maths, Physics and Germanat A-level, as well as AS Physical Education.She is in the third year of the BSc (Hons)degree in Actuarial Science andMathematics.

“I have had a strong interest in maths froma young age and it has always been mystrongest subject. I came across actuarialwork as a career prospect, and so decidedto study it along with maths at university inorder to learn more about it.

“I really enjoy being in Manchester; thereare so many clubs and bars and, since I liveat the start of the curry mile, plenty oftakeaways too! The University is also veryclose to several cinemas and the city centrehas every shop imaginable. Everyone’s

really friendly, and it’s a really diversecommunity. I’ve met people on my courseand in my halls from all over the world.

There are also societies for just aboutanything, which means there’s somethingto suit everyone. I am a member of theUniversity Badminton team, and have meta lot of my closest friends through theuniversity training and matches. The club isreally sociable and supportive, andorganises socials outside of training to giveeveryone the opportunity to get to know each other better.

Nicki Chan-Lam

2726

GRADUATE PROFILES

Pete, who comes from Coventry,graduated with a First class BSc (Hons)degree in Mathematics and Statistics inJuly 2009. He is currently working inLondon as a Marketing Science Executivefor Millward Brown, one of the world'sleading market research companies.

“I chose to study BSc Mathematics in orderto develop my problem-solving skills andinitially kept my degree subject broad inorder to find a field in which to specialise. I switched to BSc Maths and Stats becauseit’s the main area of my interests, and alsoto try and show future employers mydedication to statistics.

“I loved the vibe of the city from my very firstvisit, especially its 24-hour student life! Thebest thing about this University is the

atmosphere; there’s a fantastic sense oftogetherness amongst the students, andit’s always easy to find some help with anysituation. It was so easy to make friends onmy degree, and find people with like-mindedmusical interests. You’re never short of anight out in Manchester. All-in-all, fantastic!

“I was the Secretary of Manchester’s Rockand Alternative Music Society during myfinal year. The rock scene in Manchester isreally thriving and our society had greatfun in putting on a host of events for our members.

Peter Green

Caroline is from Manchester, and took A-levels in Maths, Further Maths, Physics,Chemistry and General Studies beforecoming to university. She studied on theBSc (Hons) in Mathematics, and graduatedwith a First class degree in July 2009.

“I chose my degree because I enjoyed A-level Maths and wanted to study it ingreater detail. I wasn’t sure what I wantedto do after university and I thought thatmaths would be useful in many differentcareer areas.

“It was a really enjoyable course withplenty of flexibility to decide what youstudy from the second year onwards. Thedepartment is very supportive, with helpalways available if you need it.

“I chose to study in Manchester because I was looking for a balance between highquality teaching and a vibrant social scene.Student life in Manchester is fantastic; youhave the chance to try new things andmeet hundreds of new people. Thenightlife is great, there’s music to suitevery taste. Also, the accommodation is in great locations, especially the halls inFallowfield, which have everything a student could want.

Caroline Warrillow

Yu Zheng, who likes to be known as Joy, isfrom Beijing in China, where she took theNCUK Foundation Year after finishing HighSchool. She studied on the BSc (Hons)degree in Mathematics with Business andManagement, and graduated in July 2009with an Upper Second class degree. Shehas gone to take an MSc in Mathematicsand Finance at Imperial College.

“The University of Manchester was my firstchoice because it is well known for itsexcellence in mathematics and in business,and it also has a fantastic Careers Service,which can help students get part-time jobsand internships. In addition, the Universityhas an outstanding record in both teachingand research.

“I chose my degree because it involvesboth mathematical knowledge and ideas

from business. My country is involved inrapid development with respect to theglobal economy, and I felt I must get somebusiness and management skills in order tobe a success.

“Student life in Manchester is excitingand colourful, and very different from lifein China. I really enjoyed the socialaspects of being a student in Manchester;there are so many diverse things to do. I was particularly involved in the TableTennis Club, making many friends andtaking part in the BUSA event at Nottingham in February.

Yu Zheng (Joy)

2928

Matthew, who is from Knutsford, studiedMaths, Further Maths, English andPsychology at A-level before coming touniversity to study on the BSc (Hons)degree in Mathematics. He graduated witha First class degree in 2007.

“I love mathematics, so my degreeprogramme was an easy choice. I made mychoice of university because The Universityof Manchester has a good reputation, withexcellent all-round facilities (such as forcomputing and for sports, as well aslibraries) and Manchester is a great city.Student life in Manchester was great fun,and there was always something going on.

“Studying mathematics in Manchester is agreat option. The size of the department

allows a wide range of course units to beoffered, which gives more flexibility overthe type of mathematics you want tostudy. The Alan Turing Building and itslocation are also great selling points.

“My degree programme has helped me topursue my love for the subject and getonto great postgraduate courses. I took anMSc in Oxford, and I am now finishing aPhD in Pure Mathematics in Cambridge.

Matthew Clark

Anastasia is from Cyprus, and took A-levelsin Maths, Statistics, Accounting andEconomics before she came to Manchesterto study on the BSc (Hons) degree inMathematics and Management. Shegraduated in 2007 with a First class degree.

“I chose my degree programme because I wanted a wider understanding in bothmathematics and in management, so thatthe skills and techniques that I gainedwould help me in my future career. I choseManchester because it was a well-knownuniversity, and because the city and theuniversity campus were great for students.

“As I come from abroad and do not havefamily or friends in the UK, it wasimportant that the teaching staff and the

other students were very helpful and mademe feel at home so that I enjoyed my timeat university.

“My degree from Manchester has helped meto get a job with PwC (PricewaterhouseCoopers, which is one of the ‘Big Four’) towork towards chartered accountancy. If I hadn’t graduated from such a gooduniversity with a good class of degree, I think that the competition nowadayswould have meant I wouldn’t have stood a chance of such a career.

Anastasia Stylianou

Bronwyn is from Kent, and took A-levels inMaths, Biology and Geography beforecoming to Manchester to study on theMMath degree; she graduated with Firstclass Honours in July 2008. She now worksfor the Royal Bank of Scotland, and is amiddleware developer in the GBMTechnology department.

“I chose to study in Manchester havingvisited the city and found it to be vibrantand lively. I also knew that the Universityhas a very good reputation. My choice ofdegree programme was based on what I was best at in school, coupled with thefact that a mathematics degree wouldprove a very worthwhile qualification.

“My degree has been pivotal because I joined a graduate scheme for which a goodclass of degree was essential. I also took twoItalian courses and the ManchesterLeadership Programme alongside my studies.

“Being a student in The University ofManchester is hard work, but great; therewas lots of affordable and niceaccommodation in the student areas, alongwith a fantastic student life, with so manyopportunities, lots of great bars, things to join in with and places to go.

Bronwyn Morcom

3130

These Honours degrees, including Mathematics withanother main subject, study the two disciplines indifferent proportions. As a result, there are twodifferent patterns for the first-year Mathematics core,as described here.

For the “and” degree programmes (GG14, GG41,GV15, FG31 and FG3C, but not NG31) first-yearstudents study Mathematics Core A, which iscomposed of the following course units:

Semester 1• Sets, Numbers and Functions

• Calculus and Vectors

Semester 2• Linear Algebra

• Calculus and Applications

These four course units are generally slightly reduced(15-credit) versions of those described on p14-15, the exception being that, for students combiningMathematics and Physics (on FG31 and FG3C), thetwo calculus course units are the 20-credit, SingleHonours ones.

For details of the other first-year course units youmust study, see the descriptions of the individualdegrees below.

Mathematics Core A is also taken by those on the“beginners’ level” version of G1R9 in their first year(see p36).

In the first year of the Actuarial Science andMathematics degree (NG31), on the ‘post A-level’version of G1R9 and on the ‘with' programmes G1N2and G1N3, students take the following course units,which together form Mathematics Core B:

Semester 1• Sets, Numbers and Functions (15 credits)

• Calculus and Vectors (15 credits)

• Probability 1 (10 credits)

Semester 2• Linear Algebra (15 credits)

• Calculus and Applications (15 credits)

• Introduction to Statistics (10 credits)

• Sequences and Series (10 credits) (except G1R9)

As with Core A, these 15-credit core course unitscover the same material as the Single Honours coreunits described on p14-15, but in a slightly reducedform. Some degree programmes may include one ormore additional first-year core course units inMathematics; they may also involve some core courseunits during the second year. These details are given inthe relevant degree information later in this brochure.

Students on G1N3 take the 10-credit MathematicsWorkshop in semester 1, along with all the Single-Honours students.

MATHEMATICS WITH FINANCEThis degree is intended for students who are good atMathematics and would like to take financial optionsthat are biased towards accounting applications.

The well-established, three-year programme leads tothe degree of BSc (Honours) in Mathematics withFinance (UCAS code G1N3). The staff of the world-renowned Manchester Business School providea coherent set of course units related to Finance togo with the mathematical part of the degree.

Note that there are some important differencesbetween this programme and the Single Honours‘Mathematics with Financial Mathematics’programmes (G1NH and G1NJ):

• G1N3 has more course units outside Mathematicsthan G1NH

• On G1NJ, it is possible to take significantly morecourse units outside Mathematics, or in FinancialMathematics, than on G1N3

• G1NH and G1NJ have considerably more flexibilitythan G1N3

Degree structure

Year 1

In the first year, all course units are core. You studythe 10-credit Mathematics Workshop and Core B (seep15 and p30). You also take the 10-credit courseunits Fundamentals of Financial Reporting andFinancial Decision Making, described briefly here:

Fundamentals of Financial Reporting

Introduces non-specialist accounting and financestudents to the fundamental concepts andtechniques of accounting. We emphasise generalprinciples, which you should be able to apply tospecific problems in accounting, as well as the widerbusiness/social environment.

Financial Decision Making

Introduces you to finance, giving a foundation forsubsequent finance course units in the second andthird years. We introduce some of the basic techniquesof finance: calculating the time value of money;valuing bonds and shares, techniques for appraisingcapital investments; characterising share pricebehaviour; and the role of risk in security valuation.

Year 2

In Mathematics, you take the first semester corecourse units as described on p16, except that you takea special ten-credit version of the PDEs and VectorCalculus course unit. In the second semester, you taketen-credit units in Statistics, Probability and FinancialMathematics. In Finance, the core course units areFoundations of Finance (20 credits) and InvestmentAnalysis (ten credits), described briefly here. You canchoose the remaining ten credits in semester twofrom the list of Mathematics options on p17.

Foundations of Finance

The first semester of this course unit includes study ofthe valuation of assets, portfolio analysis, the capitalasset pricing model and option pricing. The secondsemester covers the Net Present Value criterion forinvestment decision-making, the capital structuredecision and the dividend decision.

Investment Analysis

Introduces you to the objectives and techniques ofinvestment management at the individual securityand portfolio levels. Topics we cover include securityanalysis, asset selection, equity portfolio managementand investor psychology.

Year 3

You have two core ten-credit units in Mathematics:Martingales with Applications to Finance, andMathematical Modelling in Finance. In Finance, youhave two core ten-credit units: Advanced CorporateFinance and Financial Derivatives. The remaining 80credits come from taking options at level three or levelfour, which must include at least ten credits of finance-related units. It is also possible to take some level twocourse units in Mathematics to improve flexibility.

OTHER HONOURS MATHEMATICS DEGREES

3332

MATHEMATICS WITH BUSINESS AND MANAGEMENTThis degree is intended for students who areinterested in gaining exposure to the modern theoryand practice of business and management, at thesame time as developing their mathematical skills.

This long-established and popular three-yearprogramme leads to the degree of BSc (Honours)in Mathematics with Business and Management(UCAS code G1N2). Staff of our world-renownedManchester Business School provide a coherent set ofcourse units in business and management to go withthe mathematical part of the degree.

This degree offers you very good career prospects inmathematics, management and a wide variety ofopenings in the business world. Many of ourgraduates find careers in the financial sector – iebanking and insurance, and in accountancy oractuarial work in particular.

We will not assume any prior knowledge of businessstudies, but this degree is equally designed to besuitable for those with good grades at A-level in thator a related subject.

Degree structureOverall, you will spend roughly two-thirds of yourtime studying Mathematics and one-third studyingBusiness and Management, although the ratiobetween the two components is 3:1 in years one andtwo, and 1:1 in the final year.

Please note that the current structure, which is whatis described here, is currently under review in order toallow you more choice of course units, particularly inyour second year.

Year 1

You study Mathematics Core B (see p30) and a firstsemester ten-credit ‘skills’ course unit: TransferableManagement and Study Skills. You also studyFundamentals of Management (ten credits – semesterone) and Fundamentals of Finance (ten credits –semester two). The Business and Management courseunits are described here:

Transferable Management and Study Skills

Aims to give you the generic skills you will need asstudents of management. This includes how to writereports on and give presentations on managementtopics, and will also look at the psychology of study,communication and creative problem solving.

Fundamentals of Management

Lays the foundations for subsequent managementcourse units. Topics include the nature, role and ethicsof management history of management, managementprocesses (planning, organising, communicating, etc)and management functions (such as production,marketing, human resources and finance).

Fundamentals of Finance

Introduces you to the main foundations of financewithin organisations. We offer general introductorycoverage of a number of topic areas, but also providethe basis for more specialist course units later.

Year 2

In Mathematics, you take the first-semester corecourse units as described on p16, except that youtake a special ten-credit version of the course unit onLinear PDEs and Vector Calculus. In the secondsemester, you take the ten-credit course unit onDiscrete Mathematics and select three more ten-credit options from the list on p17. You also choose30 credits of Business and Management course unitsfrom a list of nine options available; examples areFundamentals of Financial Reporting and GlobalContexts of Business and Management, both worthten credits, which are described briefly here:

Fundamentals of Financial Reporting

Covers a basic knowledge of the principles andconcepts underpinning financial accounting, and anappreciation of the main techniques used, to non-specialist accounting and finance students. It alsoaims to give you a conceptual understanding of thesignificance of accounting techniques in the makingof corporate decisions and in reporting the results ofcorporate activity.

Global Contexts of Business and Management

Explores two of the broad contexts in which firmsoperate: the changing social, economic and politicalenvironments in which business evolves; and thelabour markets, procedures and institutions used toregulate the employment relationship.

Year 3

You select your 60 credits of third-year or fourth-yearMathematics options from an extensive list of courseunits. (It is also possible to take up to 20 credits oflevel two Mathematics options not already studied.)

You also select 60 credits of Business andManagement course units; there is one 20-credit all-year option and 12 ten-credit options available, suchas Marketing, Financial Derivatives, FinancialEngineering, Strategy, Organisational Analysis, andHuman Resource Management.

3534

ACTUARIAL SCIENCE ANDMATHEMATICSOur Actuarial Science and Mathematics degreefocuses on developing a unique combination ofstrong mathematical skills, real world businessunderstanding, communication, interpersonal andleadership skills, all of which have been identified bythe actuarial profession as core skills required bygraduates and trainee actuaries.

This recently established and very popular three-yearprogramme leads to the degree of BSc (Honours)in Actuarial Science and Mathematics (UCAS codeNG31). The degree, which has been set up in closeconsultation with the Institute of Actuaries andactuarial firms, is intended for students who wouldlike to put their mathematical skills to good effect andwho see actuarial work as their possible career path.

This degree has elements specific to our University,including the exemplary Manchester LeadershipProgramme, which will give you the opportunity todevelop your team-working and leadership skills,alongside your understanding of the specialistactuarial and mathematical subject areas. We alsouse the expertise of staff from the Economics groupof the School of Social Sciences, and from ourrenowned Careers Service, giving you a unique,interdisciplinary learning experience.

This degree is now accredited by the Institute andFaculty of Actuaries, so when you graduate you willbe eligible for up to seven exemptions from the CoreTechnical stage of the professional examinations,subject to your performance.

The University of Manchester is renowned for ourstrong links with industry, and strong industrialinvolvement in this degree ensures that the contentof the programme reflects the needs of graduateemployers.

Please note that, unlike all our other degrees, NG31has a strict limit on the number of places available.

Degree structure

Year 1

All course units are core. You study Core B (see p30)and a ten-credit Mathematics Workshop. Inaddition, you take Microeconomic Principles,Financial Mathematics for Actuarial Science (eachten credits – semester one) and MacroeconomicPrinciples (ten credits – semester two), which aredescribed briefly here:

Microeconomic Principles

Aims to provide you with self-contained introductionto microeconomics. Topics covered include studyinghow markets clear through the interaction of supplyand demand and the consequences of governmentintervention.

Financial Mathematics for Actuarial Science 1

Provides you with an introduction, from amathematical point of view, to simple financialtransactions as used in actuarial science, such asinterest and discount and the time value of money.

Macroeconomic Principles

Explains some of the most important concepts inmacroeconomics, such as Gross Domestic Product,the Consumer Price Index, the Exchange Rate and theBalance of Payments.

Year 2

In Mathematics, you take the first semester corecourse units as described on p16, except that the ten-credit Financial Mathematics for Actuarial Science 2replaces Algebraic Structures 1, which becomes anoption. In the second semester, you take StatisticalMethods, as well as Actuarial Insurance andContingencies 1 (ten credits each). The remaining 30credits are options; your choice can include up to 20credits outside Mathematics, the ten-creditLeadership in Action course unit, and anyMathematics or Statistics units listed on p17.

Year 3

You have 50 credits of options; these are chosen fromthe huge list of third-year course units inMathematics and Statistics, together with aSustainable Development course and Tools andTechniques for Enterprise. The core course units youstudy are:

Applied Time Series Analysis

Generalised Linear Models

Linear Statistical Models

Statistical Inference

Models 1: Survival Models

Contingencies 2

Models 2: Actuarial Models

I am delighted that The University ofManchester, with its strong reputation in Mathematics, is introducing anundergraduate course in Actuarial Science and Mathematics.

Nick DumbreckPresident, Institute of Actuaries

3736

MATHEMATICS WITH A MODERN LANGUAGEThis is the degree for you if you want to studyMathematics at the same time as enhancing yourlanguage skills, particularly as you are able to spendyour third year abroad.

This well-established, four-year degree programmeleads to the degree of BSc (Honours) inMathematics with a Modern Language (UCAScode G1R9), and the language studied can be French,German, Italian, Japanese, Russian, or Spanish.

You study in Manchester in your first, second andfourth years; you spend your third year in a countryappropriate to the language you are studying. Withthe growth of the European Union, leading toincreased commercial and industrial trade, graduatesin mathematics with language skills and culturalexperience will be in demand. Students on theMathematics with a Modern Language degreetherefore have good career prospects.

Degree structure

The language part of the programme has two slightlydifferent versions, classified as “post A-level” and“beginners’ level”. You follow the post A-levelprogramme if you have achieved A-level grade A or B(or equivalent) in your chosen language, and thebeginners’ programme otherwise. Please note: thereis no beginners’ programme in French.

In the first, second and fourth years of the post A-level programme, you will spend roughly two-thirdsof your time studying Mathematics and one-thirdstudying your chosen language. In the third year, youfulfil the requirements by satisfactorily completing theyear abroad. The beginners’ programme requires youto divide your time equally between the two subjectsin the first year (thus providing more languagetuition), but otherwise has the same structure.

Year 1

Post A-level: In Mathematics you study Core B (seep30), except that Sequences and Series is replaced bya ten-credit Mathematics Workshop. In each semesteryou also study ten-credit course units in your chosenlanguage and in a language option, chosen from alist offered by the School of Languages, Linguisticsand Culture.

Beginners: In Mathematics you study Core A (seep30). You also study 40 credits in your chosenlanguage plus 20 credits of language options.

Year 2

You study two ten-credit core course units in RealAnalysis and Complex Analysis, and 20 credits of corelanguage study. You also study 20 credits of optionsin the language, and 60 credits of options inMathematics from the list on p16; those on thebeginners’ programme should include the first-yearProbability and Statistics 1 course unit.

Year 4

You take a core 20-credit course unit in the languageand a 20-credit language unit chosen from a list ofoptions. In Mathematics, you choose 80 credits fromthe extensive list of course units available at levelsthree and four.

Year abroad

Third-year arrangements are extremely flexible, butmost students studying Mathematics with French,German, Italian, or Spanish choose one of thefollowing options:

a) to take Mathematics and Language course units ina foreign university sponsored by the EuropeanCommunity’s ERASMUS/SOCRATES programme

b) to undertake paid work abroad as a languageassistant, sponsored by the Central Bureau forEducational Visits and Exchanges

You choose which option you prefer at the beginningof your second year, with the help of your academicadvisor.

Under option (a) you take an approved combinationof Mathematics and Language course units,determined after consultation with your advisor.Lectures and examinations will normally be given inthe foreign language, though the number of yourcourse units will be fewer than that taken by the localstudents. Our School of Mathematics has ERASMUSlinks with universities at Bordeaux, Madrid, Rome andTubingen. The language departments have their ownlinks, which may sometimes be used for this purpose– although, of course, there is more competition forsome places than others.

Under option (b), you spend the year working at aschool under a scheme sponsored by the CentralBureau for Educational Visits and Exchanges.Applications for this scheme (administered by yourlanguage department) must be submitted byNovember in the second year. You are expected toteach English to small groups for 12 hours a week,and will be paid; no previous teaching experience isnecessary, though obviously an interest in teaching isdesirable. You should also be fully conversant withBritish culture, current affairs, social issues andinstitutions. Students studying Mathematics withRussian will normally study the language at auniversity abroad in their third year. Our School hasclose links with the Russian Department inManchester and with the University of St Petersburg.Those studying Mathematics with Japanese willnormally study Japanese at a language school inJapan during their third year, and this will bearranged through the University’s Japan Centre.

Financial arrangements for the year abroad

Students who choose to study at a university abroadunder the ERASMUS scheme will pay no tuition feesfor that year. ERASMUS students, who must bepermanent residents of an EEC or EFTA state,currently obtain a grant of about £50 per month forthe nine months spent abroad (set by the ERASMUSBureau in Brussels, and hence the level of funding isnot guaranteed).

Students who undertake paid work abroad underoption (b) currently pay tuition fees of about half theusual amount, which is means-tested. Such studentsare not eligible for an ERASMUS award during theirthird year, but a language assistant might beexpected to earn about £400-£500 per month for thenine months spent abroad, paid in the local currency.

Students studying Mathematics with Russian orJapanese will normally pay tuition fees of about onethird of the usual amount. Currently, all home UKstudents can take out a student loan for the yearabroad, if they so wish.

3938

Degree structure

The general aim of the first two years is to provideyou with a firm foundation in the most fundamentalaspects of degree-level mathematics and computerscience. This foundation permits you to choose froma wide range of high-level options in your third orfourth year, as appropriate. Your workload is dividedapproximately equally between the two subjects.

Because the first two years of these programmes arecommon, your decision on whether to spend yourthird year in industry does not have to be made untilthe end of the second year. You will need a goodperformance in both the first and second-yearexaminations in order to be accepted on the four-year BSc programme.

The admissions procedure for this degree isadministered by the School of ComputerScience, so please enquire there for any furtherdetails you need:

t +44 (0)161 275 6124e ug-compsci@manchester.ac.ukwww.manchester.ac.uk/cs

MATHEMATICS AND PHYSICSThere are the degrees for you if you wish to studyboth Mathematics and Physics to degree level.

Our School of Mathematics and School of Physics andAstronomy jointly run two degree programmes forstudents who wish to study both mathematics andphysics to degree level.

You may study for three years, leading to the BSc(Honours) degree (UCAS code FG31), or for fouryears to graduate with the MMath and Physdegree (UCAS code FG3C), each degree being withJoint Honours in Mathematics and Physics. Youattend lectures, tutorials, examples classes andlaboratory sessions, covering a broad range of topicsin mathematics and physics.

Teaching in both mathematics and physics is greatlystrengthened by the wide variety of research fieldsthat are pursued by the staff. There are large andlively groups active in both applied mathematics andtheoretical physics. These disciplines frequentlyoverlap and research on theoretical astronomy andon chaos and fractals is carried out in both subjects.Other research topics in applied mathematics includehydrodynamics, waves, elasticity, boundary layer theory,and modelling of industrial processes. The theoreticalphysics group is actively engaged in high-energy particlephysics, nuclear physics and quark matter, condensedmatter physics, high temperature superconductivity,phase transitions and disordered systems

Degree structureThe general aim of the first two years is to provideyou with a firm foundation in the most fundamentalaspects of degree-level Mathematics and Physics. Thisfoundation permits you to choose from a wide rangeof high-level options in your third and, if appropriate,fourth years. The workload of the degree is dividedapproximately equally between the two subjects.

The content of this joint degree is closely linked withthe contents of the two individual Single Honoursdegrees, so transfer to either of these Schools ispossible at the end of the first year, provided asufficient standard has been achieved in the relevantside of the programme.

The admissions procedure for this degree isadministered by the School of Physics andAstronomy, so please enquire there for any furtherdetails you need:

t +44 (0)161 275 4210email ug-physics@manchester.ac.ukwww.manchester.ac.uk/physics

COMPUTER SCIENCE ANDMATHEMATICSThese are the degrees for you if you wish to studyboth Mathematics and Computer Science to degreelevel. Our School of Mathematics and School ofComputer Science jointly run two degreeprogrammes for students who are interested in bothsubjects. You may study either on the three-yearprogramme (UCAS code GG14), or on the four-yearprogramme (UCAS code GG41) in which the thirdyear is spent in industry; in all other respects, thethree and four-year programmes are the same, andeach programme leads to a BSc (Honours) degreewith Joint Honours in Computer Science andMathematics.

These degrees offer you an ideal opportunity todevelop mathematical and computer scienceexpertise that bridges the increasingly importantinterface between the subjects – eg in modelling,simulation and logic for information technology.

In addition, students on the four-year “with IndustrialExperience” programme have the opportunity to gainpractical experience in an industrial or businessenvironment. It is your responsibility to obtain theindustrial placement, but the School of ComputerScience will give you advice.

The content of this joint degree is closely linked withthat of the two individual Single Honours degrees,and so transfer into either of these Schools is possibleat the end of the first year, provided a sufficientstandard has been achieved in the relevant side ofthe programme.

40

MATHEMATICS AND PHILOSOPHYSince the time of ancient Greece there has been aclose and fruitful connection between mathematics(especially logic and the foundations of mathematics)and philosophy. Indeed, many of the world’s greatestmathematicians have also made valuablecontributions to philosophy, and vice versa.

This long-established, three-year programme leads tothe degree of BSc (Honours) in Mathematics andPhilosophy (UCAS code GV15).

While our primary aim is that you reach an advancedlevel of understanding in both subjects separately, theprogramme also provides you with an excellentopportunity to explore the fascinating interplay betweenthe subjects, aided by the strengths of our School ofMathematics in logic and foundational studies.

The degree content is closely linked with the contentsof the two individual Single Honours degrees, sotransfer to either of these Schools is possible at the endof your first year, provided a sufficient standard hasbeen achieved in the relevant side of the programme.

Degree structureIn all three years, your study time is split equallybetween the two components.

Year 1

In Mathematics you study Core A (see p30). The 20-credit Philosophy course units you study aredescribed briefly here:

Introduction to Philosophy: Knowledge and Reality

Investigates whether and how knowledge can bejustified.

Critical Thinking

Focuses on the nature, purpose and evaluation ofarguments.

Introduction to Philosophy: Values and Morality

Considers some of the central concepts andphilosophical views in ethics.

Year 2

In Mathematics, you have a core of 20 credits on Real and Complex Analysis and ten credits onPropositional Logic. In Philosophy, you have a 20-credit core course unit on Philosophy of Science.You choose three (ten-credit) course units from a listof Mathematics options (see p17). Of your twooptional 20-credit course units in Philosophy, one is a completely free choice and one is chosen fromPhilosophy of Mind, 20th Century AnalyticPhilosophy, and Locke, Berkeley, Hume.

Year 3

In Philosophy, you have a core 20-credit dissertation;a further 40 credits consist of one completely freechoice and one course unit chosen from Metaphysics,Philosophy of Language, and Issues in Epistemology.We offer a huge list of options at levels three andfour, from which you select your third-yearMathematics course units (see p17).

VIEWS OF THE SCHOOL OF MATHEMATICS

41

4342

Careers for mathematics graduatesA wide range of career options is open to you as aMathematics graduate.

Some of these careers require subject specificknowledge and skills that are part of the Mathematicsdegree; others may depend mainly on ‘higher-order’skills, such as numeracy, the ability to think logicallyand quantitatively, and the ability to analyse and solvecomplicated problems. Our Mathematics degrees aredesigned both to give you a good mathematicaleducation and to develop these higher order skills.

The wide variety of Mathematics options we haveavailable, together with the opportunity to takecourse units in other subjects, allows you to tailoryour degree to suit your requirements and interests.A student aiming for actuarial work might, on theBSc degree, include an emphasis on statistics andtake some accountancy and economics course units.Another, hoping to work for a PhD, might take theMMath degree, with its opportunity forspecialisation. Yet another might take a language,with a view to working abroad. Of course, optionsmay also be chosen purely for their inherent interest.

The most popular areas of employment are financialwork and management services, but postgraduatework and teaching are also popular choices.Mathematics graduates are much in demand and areless likely to be unemployed than the graduatepopulation as a whole, with most finding permanentemployment in due course.

Further information about graduate careers can befound online: www.manchester.ac.uk/careers

You may have a definite career in mind when youcome to the University; however, most students areunsure of the eventual career that they will follow.Studying for a mathematics degree allows you tokeep many options open while you discover yourstrengths and find out more about specific careers.

Our School works closely with the University’s CareersService, which provides valuable assistance to ourstudents in exploring the jobs market. This closerelationship includes a special careers talk to oursecond-year students, and active collaboration on oursecond-year course unit on Career Management Skills.

It is worthy of note that more employers visit theManchester campus than any other university;indeed, the recent Signposts to Employability reportidentifies graduates from The University ofManchester as the most sought-after in the country!

Postgraduate study opportunitiesAs well as the first-degree programmes described inthis booklet, our School of Mathematics offers avariety of opportunities for postgraduate study.

About 18% of our graduates go on to take higherdegrees, either in this University, or elsewhere. In2012, we have about 180 postgraduate students(including many from overseas) working for the Masterof Science (MSc), Doctor of Philosophy (PhD), orother degrees. Postgraduate students play a vital rolein the life of our School, and you will certainly meetsome of them as demonstrators in examples classes.

You may wish to consider postgraduate study for avariety of reasons. For some, there is the satisfactionof doing ‘leading-edge’ mathematics by working on a research problem, under the personal supervision ofa member of staff who is an active researcher in yourchosen area. Others choose to do a second degree inorder to broaden or deepen their mathematicalknowledge in a specific area, often one that is directlyrelated to their future career.

Whatever the motive, postgraduate students acquirea number of skills of direct relevance to employers:for example in technical writing, extractinginformation from library resources, and mathematicalword processing. These skills, combined with those offormulating and criticising arguments, makemathematicians very employable – doing a PhD doesnot mean that you have to become a university lecturer.

Our postgraduate degrees are of two main types.MSc programmes normally take one year; theyconsist of taught lecture course units, with exams inJanuary and April, followed by a project, which iswritten up as a dissertation. Completing a PhDnormally takes three years; you will attend somelecture courses and research seminars, but theemphasis is on making an original contribution tomathematical knowledge in the written thesis. In thisway, a PhD student becomes a member of the worldmathematics community.

We offer MSc and PhD programmes in AppliedMathematics, Numerical Analysis, Logic, PureMathematics and Statistics. For UK-based students,funding for postgraduate study in Mathematicscomes mainly from central government through theEngineering and Physical Sciences Research Council(EPSRC), and is competitive.

For further information about postgraduate degrees,including contact details and information on sourcesof funding, see our School website:www.manchester.ac.uk/maths

PROSPECTSYOUR FUTURE

4544

Scholarships for UK students

School Entrance Scholarship

All new UK undergraduates admitted by our Schoolof Mathematics, who achieve A* in Mathematics A-level plus grade A in two more A-levels (notcounting General Studies), will be awarded a SchoolEntrance Scholarship of £500 per year of study.

Note that payment of this award in the first year ofstudy is automatic, and that payment after the firstyear is subject to you maintaining a first-classHonours standard.

Fourth-year scholarship

Our School has 15 generous scholarships for studentson a Single-Honours degree programme in theirfourth year. These competitive awards, decided onthe basis of earlier years’ exam results, take the formof a complete fee waiver so that you would not needto pay any tuition fees for that year.

Other scholarships and bursaries

As well as our School scholarships, the University hasa wide range of other awards designed to providefinancial help for those who might otherwise find itdifficult to proceed to university.

Worthy of mention among these awards are:

• Opportunity Manchester Scholarships worth£1,000 per year for any UK student who either:

> has gained a place at the University after havingcompleted the Manchester Access Programme(MAP), or

> is under 25 years old and is currently, or hasbeen, in public care for at least three months

• The Manchester Bursaries, which are additionalto the government package of maintenancegrants, are worth up to £3,000 in Year 1 and up to£2,500 per year after that, for any student from ahousehold with income below a certain threshold

• Foundation Year Bursaries are worth up to£5,000 for students from low-income families who enrol on a 'Year 0' Foundation Year in Scienceand Engineering

• Fees will be waived or discounted for studentswho spend a year abroad

Full details of these and other awards can be foundonline:www.manchester.ac.uk/ug/studentfinance

Scholarships for international studentsFor those paying fees at the international rate, thefollowing generous scholarships are available:

International Mathematics Scholarship

Our School has a large number of these scholarships,each of which is worth £1,000 per year of study. Allnew international students who satisfy themathematical component of their entrancerequirement will be awarded this scholarship againsttheir tuition fees. The award, which lasts as long asyour undergraduate degree, whether that is three orfour years, is paid automatically in the first year; afterthat payment is subject to you maintaining at least a50% exam average.

These awards are for international students on anydegree programme.

School International Excellence Scholarships

In addition to the International MathematicsScholarships just mentioned, and the FacultyScholarships mentioned below, our School ofMathematics will award up to fifteen SchoolInternational Excellence Scholarships.

These competitive awards are for the successfulinternational applicants who have demonstrated thehighest overall academic excellence. The awards areworth £2,000 per year of study on top of theInternational Mathematics Scholarship (making atotal award of £3,000 per year). These excellencescholarships are for one academic year and areawarded to the best students each year, the decisionbeing based on the previous year’s exam results.

Eight of these awards are specifically for studentsfrom Africa, China, India, Pakistan and Malaysia, andseven more will be open to any international student.

International Excellence UndergraduateScholarships

The Faculty of Engineering and Physical Sciencesoffers up to ten scholarships worth £2,000 per yearfor very well qualified international undergraduatestudents in the Faculty. The awards will take the formof a scholarship against your tuition fees, and are inaddition to any scholarship awarded by our School ofMathematics.

All international students who have firmly acceptedthe offer of a place within the Faculty by 30 June willbe automatically considered for a scholarship, basedon academic merit. For details of eligibility, see: www.manchester.ac.uk/eps/intschol

FUNDING

4746

Application procedureApplications for all our first degree programmesshould be made through the Universities andColleges Admissions Service (UCAS). In most cases, a conditional offer is made on the basis of theinformation supplied in the UCAS applicationtogether with the result of an interview.

The most common route into our degree programmesis through A-levels, but we welcome students holdingany equivalent qualifications. Details of our typicalrequirements for entry in 2013 are given on p11-12for a number of qualifications, but we emphasise thateach application is considered separately on its ownmerits and each offer is individual.

Making your choiceOnce you have received all the decisions from theuniversities to which you have applied, UCAS will askyou to decide which will be your first choice offer.You will also be able to make a second (insurance)choice. UCAS will ask you to respond by a certaindeadline, and it is important that you docommunicate your choice in good time, otherwise allyour offers will automatically be declined once thedeadline has passed (and neither Manchester nor anyother university will be able to re-instate them).

It is important that you make your choice armed withall the necessary information, in order to choose theuniversity and the degree that is best for you. For thisreason, please do not hesitate to contact our admissionsstaff if there is any further information you require.

Visiting daysOnce we receive your UCAS application, it will beconsidered on merit by our admissions staff. Many ofour applicants are then invited to attend one of ourvisiting days, which are held regularly betweenOctober and April. These give you the opportunity tosee our School at first hand, to ask questions, and tomeet members of staff and current students. Theystart with registration and a welcoming buffet lunch.Your parents can also attend the visiting day, and wearrange a separate programme for them.

It is important that you visit our School, if at allpossible, because of the interview you will have witha member of staff, which helps to determine whatconditional offer we make you. Our visiting days alsoenable you to get some insight into what it is like tobe a Mathematics student at Manchester; as well ashaving the interview, you will be shown around thecampus by some of our current students and attend a mathematical talk.

Our entrance requirements, and the offer we make toyou, are designed to ensure that you have thenecessary background knowledge, together with theability and commitment, to do well on the course.

ConfirmationMost of the applicants who accept our conditionaloffers are taking A-levels, so most of our decisionsabout whether or not you have a place happen inAugust, when we receive the A-level results. If youachieve the required A-level grades, you will be ableto check that we have confirmed your place on theUCAS website on the day you get your results. If youhave missed your required grades by a very smallmargin, we may be able to offer you a place, but itmay take us until the following week to decide this.

If your results become available earlier than mid-August, it is most important that you contact us withthe details at the first opportunity. The earlier yourplace is confirmed, the better, both for you and for theUniversity – particularly if you need to obtain a visa.

English languageIf part of your offer concerns an English Languagequalification other than a GCSE, we must receiveyour English result no later than we know your otherresults, or we may not be able to hold your Universityplace. In particular, if you are taking an IELTS or TOEFLtest, you need to arrange to take the test earlyenough so that you can give us the result by the endof July, at the very latest.

Also note that GCSE results come out at least tendays after we receive your A-level results, therebydelaying our decision, so you might for instance notget your choice of accommodation and have difficultygetting the required visa in time; you are thereforestrongly advised to do an early IELTS test as well.

APPLYING

4948

ONLINEFIND OUT MORE

ACCOMMODATION Discover your potential new home:www.manchester.ac.uk/accommodation

ADMISSIONS AND APPLICATIONS Everything you need to apply to Manchester:www.manchester.ac.uk/ug/howtoapply

ALAN GILBERT LEARNING COMMONS A brand-new independent learning resource for our students:www.manchester.ac.uk/library/learningcommons

CAREERS Many major graduate recruiters target our students; find out why:www.manchester.ac.uk/careers

CHILDCARE Support for students who are also parents:www.manchester.ac.uk/childcare

DISABILITY SUPPORT For any additional support needs:www.manchester.ac.uk/dso

FUNDING AND FINANCE Fees, loans, scholarships and more:www.manchester.ac.uk/studentfinance

INTERNATIONAL STUDENTS Discover what we offer our multinational community:www.manchester.ac.uk/international

IT SERVICES Online learning, computer access, IT support and more: www.manchester.ac.uk/itservices

LIBRARY One of the UK’s largest and best-resourced university libraries:www.manchester.ac.uk/library

MAPS Visualise our campus, city and University accommodation:www.manchester.ac.uk/aboutus/travel/maps

PROSPECTUS Access online or order a copy of our 2013 prospectus:www.manchester.ac.uk/ug/courses/prospectus

SPORT Excellent clubs, leagues, classes and facilities, plus sport scholarships:www.manchester.ac.uk/sport

SUPPORT Dedicated academic, personal, financial and admin assistance:http://my.manchester.ac.uk/guest

STUDENTS’ UNION Societies, events, peer support, campaigns and more:www.umsu.manchester.ac.uk

VIDEOS See and hear more about the University: www.manchester.ac.uk/aboutus/videowww.youtube.com/user/universitymanchester

CONTACT DETAILSFor further information about the courses, or aboutqualifications, please contact:

Dr Mike SimonMr Steven Broom

AddressSchool of MathematicsThe University of ManchesterOxford RoadManchesterM13 9PLUnited Kingdom

t +44 (0)161 275 5803/4e ug-maths@manchester.ac.uk

For the most up-to-date course information, visit our website:www.manchester.ac.uk/maths

Disclaimer

This brochure is prepared well in advance of theacademic year to which it relates. Consequently, detailsof courses may vary with staff changes. The Universitytherefore reserves the right to make such alterations tocourses as are found to be necessary. If the Universitymakes an offer of a place, it is essential that you areaware of the current terms on which the offer is based.If you are in any doubt, please feel free to ask forconfirmation of the precise position for the year inquestion, before you accept the offer.

50

School of MathematicsThe University of ManchesterOxford RoadManchesterM13 9PLUnited Kingdom

+44 (0)161 275 5803/4email ug-maths@manchester.ac.ukwww.manchester.ac.uk/maths