Admissions and entry requirementsThe department admits about 150 new students each year.Applicants to the College come from a diverse range <strong>of</strong>backgrounds and students are admitted on the basis <strong>of</strong>attainment at A-level or equivalent qualifications.Prospective students are encouraged to visit the department,talk to members <strong>of</strong> staff and students and find out more aboutstudying at <strong>Royal</strong> <strong>Holloway</strong> on one <strong>of</strong> our open days. Parentsare welcome to visit the department at the same time. We alsoinvite many applicants for an informal interview when possible.Typical <strong>of</strong>fers: We make a standard <strong>of</strong>fer to nearly allcandidates, unless there are special circumstances. ForMathematics degrees we are looking for students with 360UCAS tariff points from 3 A-levels, including a grade A inA-level Mathematics. For degree courses combined with othersubjects, the conditions may vary slightly: see the departmentalwebsite for full details.Mature students and alternative qualifications: Applications frommature students are very welcome. People <strong>of</strong> any age can studyMathematics with enjoyment and success. We accept manyalternatives to traditional A-levels, so long as the qualificationsare sufficiently rigorous and cover the core material needed tobegin a degree in Mathematics.Although two Mathematics A-levels are a help, especially in thefirst year, we do not assume that our students will have more thanone and so the starting point <strong>of</strong> our first year courses is based onthe A-level ‘common core’.We try to assess each applicant individually, taking into accountpersonal circumstances, and do not necessarily take a hardand-fastline. If you have any queries, please contact theDepartmental Admissions Tutor.Deferred entry: Applications from those who wish to take a year’sbreak between school and university are welcomed.6 Department <strong>of</strong> Mathematics
Degree structureAt the centre <strong>of</strong> our teaching programme are two specialistdegrees: the MSci in Mathematics (a four-year degree, calledan MMath in some universities), and the BSc in Mathematics(a three-year degree). We also <strong>of</strong>fer a BSc in Mathematics withStatistics, enabling students to concentrate on the theory andapplications <strong>of</strong> statistics. Alternatively, students can choosefrom a variety <strong>of</strong> degree programmes that are shared betweenMathematics and another subject: the large number <strong>of</strong> availablecombinations provides the opportunity for you to pursue yourother interests. See the following page for the list <strong>of</strong> combineddegree programmes.All undergraduate degree programmes at <strong>Royal</strong> <strong>Holloway</strong> arebased on the course unit system. This system provides aneffective and flexible approach to study, while ensuring thatour degrees have a coherent and developmental structure. Thisis particularly essential in Mathematics, which is both logicaland wide-ranging. In the case <strong>of</strong> some <strong>of</strong> our combined degreeprogrammes, it also makes it possible to change the balance <strong>of</strong>your subjects during your time at <strong>Royal</strong> <strong>Holloway</strong>.The Department <strong>of</strong> Mathematics website gives detailed lists <strong>of</strong>the units taken for each different degree programme.Year 1 (G100/G103)CalculusFunctions <strong>of</strong> Several VariablesNumber SystemsMatrix AlgebraNumbers and FunctionsFrom Euclid to MandelbrotIntroduction to Applied MathematicsPrinciples <strong>of</strong> StatisticsYear 2 (G100/G103)Linear Algebra and a Group Project(the project may be in any area <strong>of</strong> Mathematics)Real AnalysisComplex VariablePlus five from:Vector Analysis and FluidsOrdinary Differential Equations and FourierAnalysisStatistical MethodsProbabilityGroups and Group Actions, or Further LinearAlgebra and Modules*Graphs and Optimisation*Given in alternate years.Year 3 (G100/G103)Cell Styles Table choose/plus:Mathematics in the ClassroomNumber TheoryGroups and Group Actions, or Further LinearAlgebra and Modules*Quantum Theory IDynamics <strong>of</strong> Real FluidsElectromagnetismNon-Linear Dynamical SystemsQuantum Information and Coding, or QuantumTheory II*InferenceTime Series AnalysisApplied ProbabilityMathematics <strong>of</strong> Financial MarketsAdvanced Financial MathematicsError-Correcting CodesCipher SystemsPrinciples <strong>of</strong> Algorithm Design, or ComplexityTheory*ChannelsCombinatoricsComputational Number TheoryPublic Key CryptographyApplications <strong>of</strong> Field TheoryA Supervised ProjectThe precise selection <strong>of</strong> courses is liable to varyfrom year to year, but the above gives someindication <strong>of</strong> the available range.*Given in alternate years.Year 4 (G103)A Supervised ProjectPlus six from:Computational Number TheoryApplications <strong>of</strong> Field TheoryCombinatoricsQuantum Information and Coding, or QuantumTheory II*Advanced Financial MathematicsPrinciples <strong>of</strong> Algorithm Design, or ComplexityTheory*ChannelsPublic Key CryptographyAdvanced Cipher SystemsTheory <strong>of</strong> Error-Correcting CodesIt is possible to include one or two from the Year3 list.*Given in alternate years.Structure for Combined Degree ProgrammesThe choices <strong>of</strong> students following combined degree programmeswill be influenced, to some extent, by the needs <strong>of</strong> theirprogramme, so that, for example, Economics and Mathematicsstudents will take courses in statistics, mathematicalprogramming and financial mathematics.The precise structure for these programmes, as well as othervaluable and up to date information, is available online at:royalholloway.ac.uk/mathematics/prospectivestudentsDepartment <strong>of</strong> Mathematics7