University of York
Master of Science in Mathematical Sciences
The Master of Science in Mathematical Sciences in Mathematics is offered by University of York.
Program Length: 1 YEAR.
Master of Science in Mathematical Sciences offered by the University of York
Deepen your mathematical knowledge and move towards cutting-edge research under the guidance of world-leading expertsThis MSc in Mathematical Sciences will develop your mathematical knowledge through a range of modules concentrated on one of our research specialisms in algebra, number theory, geometry and analysis, mathematical physics and mathematical biology. It will provide a bridge to world-class research in one of these areas.It combines both traditional mathematics subjects with advanced courses that will prepare you for an array of numerate and analytical professions to be found at the core of the digital economy as well as prepare you for a PhD or other research paths.As part of the Department of Mathematics at York, you will join our friendly and welcoming community. You'll benefit from high-quality teaching by expert staff, who are engaged in world-leading research in many areas of mathematics.
Course contentYou choose a route through this degree which concentrates either on pure mathematics or, within the mathematics of the natural sciences, on mathematical physics or mathematical biology. In each, you'll take modules which prepare you for research, aligned with our research groups. You'll also have the opportunity to take modules outside your route to broaden the scope of your study.The single route in Pure Mathematics centres on algebra and number theory with additional material in geometry and analysis.In Applied Mathematics we offer two routes, one in mathematical physics and another in mathematical biology. There is overlap in areas such as partial differential equations and current hot topics which bridge the natural sciences, such as soft matter.You'll undertake both a preparatory project and a dissertation in specialised subjects of your choice, with the aim of taking your research skills and understanding towards the frontiers of knowledge, with support and supervision from a dedicated member of staff.ModulesYou'll choose ten option modules from one of the following routes - five or six in the Autumn Term and four or five in the Spring Term.All option modules are worth 10 credits.Pure Mathematics routeAutumn Term:Algebraic GeometryMetric Number TheoryPartial Differential Equations IHilbert SpacesLie Algebras and Lie GroupsAnalytic Number TheorySemigroup TheorySpring Term:Algebraic GroupsFunctional AnalysisRepresentation Theory of the Classical GroupsRiemannian GeometryPartial Differential Equations IIMathematical Physics routeAutumn Term:Complex and Asymptotic MethodsGeneral RelativityPartial Differential Equations IHilbert SpacesLie Algebras and Lie GroupsSoft Matter in Physics and BiologyQuantum Field TheorySpring Term:Quantum InformationFunctional AnalysisRepresentation Theory of the Classical GroupsRiemannian GeometryPartial Differential Equations IIAdvanced General RelativityAdvanced Quantum Field TheoryMathematical Biology routeAutumn Term:Complex and Asymptotic MethodsModelling with MATLABPartial Differential Equations IDynamical SystemsFundamentals of Fluid DynamicsSoft Matter in Physics and BiologySpring Term:Mathematical Ecology and EpidemiologyApplications of Group Theory in VirologyPartial Differential Equations IIClassical and Biological Fluid DynamicsYou may replace up to 30 credits with modules from the other route, as long as there are no timetable clashes. You may also replace up to 30 credits with Stage Three undergraduate Mathematics modules (H-level), subject to the Department's approval, provided the total credit number of H-level modules does not exceed 30.DissertationYou will complete a preparatory project in the Spring Term (20 credits) and a dissertation over the Summer Term and summer vacation (60 credits). For these you'll be supervised by one of our research experts in the field on which you have decided to focus.