University of York

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 experts


This 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 content
You 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. 

Modules
You'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 route
Autumn Term:

Algebraic Geometry 
Metric Number Theory
Partial Differential Equations I 
Hilbert Spaces 
Lie Algebras and Lie Groups
Analytic Number Theory 
Semigroup Theory

Spring Term:

Algebraic Groups
Functional Analysis 
Representation Theory of the Classical Groups
Riemannian Geometry
Partial Differential Equations II

Mathematical Physics route
Autumn Term:

Complex and Asymptotic Methods
General Relativity 
Partial Differential Equations I 
Hilbert Spaces 
Lie Algebras and Lie Groups
Soft Matter in Physics and Biology
Quantum Field Theory 

Spring Term: 

Quantum Information 
Functional Analysis 
Representation Theory of the Classical Groups
Riemannian Geometry 
Partial Differential Equations II
Advanced General Relativity
Advanced Quantum Field Theory

Mathematical Biology route
Autumn Term:

Complex and Asymptotic Methods
Modelling with MATLAB
Partial Differential Equations I
Dynamical Systems
Fundamentals of Fluid Dynamics
Soft Matter in Physics and Biology

Spring Term:

Mathematical Ecology and Epidemiology
Applications of Group Theory in Virology 
Partial Differential Equations II
Classical and Biological Fluid Dynamics

You 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.

Dissertation
You 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.



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