Taught course

Mathematics/Applied Mathematics

University of Glasgow · School of Mathematics and Statistics

Entry requirements

A minimum of a 2.1 Honours degree or equivalent with mathematics as a major subject. International students with academic qualifications below those required should contact our partner institution, Glasgow International College, who offer a range of pre-Masters courses. Further information regarding academic entry requirements: student.recruitment@glasgow.ac.uk

Months of entry


Course content

The Masters in Mathematics/Applied Mathematics offers courses, taught by experts, across a wide range. Mathematics is highly developed yet continually growing, providing new insights and applications. It is the medium for expressing knowledge about many physical phenomena and is concerned with patterns, systems, and structures unrestricted by any specific application, but also allows for applications across many disciplines.

Why Glasgow?

· The University of Glasgow’s School of Mathematics and Statistics is ranked 4th in Scotland (Complete University Guide 2015).

· The School has a strong international reputation in pure and applied mathematics research and our PGT programmes in Mathematics offer a large range of courses ranging from pure algebra and analysis to courses on mathematical biology and fluids.

· You will be taught by experts across a wide range of pure and applied mathematics and you will develop a mature understanding of fundamental theories and analytical skills applicable to many situations.

· You will participate in an extensive and varied seminar programme, are taught by internationally renowned lecturers and experience a wide variety of projects.

· Our students graduate with a varied skill set, including core professional skills, and a portfolio of substantive applied and practical work.

· With a 94% overall student satisfaction in the National Student Survey 2014, the School of Mathematics and Statistics combines both teaching excellence and a supportive learning environment.

Programme Structure

Modes of delivery of the Masters in Mathematics/Applied Mathematics include lectures, laboratory classes, seminars and tutorials and allow students the opportunity to take part in project work.

If you are studying for the MSc you will take a total of 120 credits from a mixture of Level-4 Honours courses, Level-M courses and courses delivered by the Scottish Mathematical Sciences Training Centre (SMSTC).

You will take courses worth a minimum of 90 credits from Level-M courses and those delivered by the SMSTC. The remaining 30 credits may be chosen from final-year Level-H courses. The Level-M courses offered in a particular session will depend on student demand. Below are courses currently offered at these levels, but the options may vary from year to year.

Level-H courses (10 or 20 credits)

· Algebraic & geometric topology

· Continuum mechanics & elasticity

· Differential geometry

· Fluid mechanics

· Functional analysis

· Further complex analysis

· Galois theory

· Mathematical biology

· Mathematical physics

· Numerical methods

· Number theory

· Partial differential equations

· Topics in algebra.

Level-M courses (20 credits)

· Advanced algebraic & geometric topology

· Advanced differential geometry & topology

· Advanced functional analysis

· Advanced methods in differential equations

· Advanced numerical methods

· Biological & physiological fluid mechanics

· Category theory

· Commutative algebra & algebraic geometry

· Elasticity

· Fourier analysis

· Further topics in group theory

· Lie groups, lie algebras & their representations

· Magnetohydrodynamics

· Mathematical methods for finance

· Operator algebras

· Solitons

· Special relativity & classical field theory.

SMSTC courses (20 credits)

· Algebra 1

· Algebra 2

· Geometry and topology 1

· Geometry and topology 2

· Pure analysis 1

· Pure analysis 2

· Applied analysis and PDEs 1

· Applied analysis and PDEs 2

· Applied mathematical methods 1

· Applied mathematical methods 2

· Mathematical modelling 1

· Mathematical modelling 2.

The project titles are offered each year by academic staff and so change annually.


· To complete the MSc degree you must undertake a project worth 60 credits. This is a project chosen by you to investigate a challenging mathematical problem, where you will investigate the background to the project; identify relevant mathematical methodology, formulate and implement an appropriate analysis plan, present your work orally and in a dissertation.

· Your project should demonstrate a clear and explicit grasp and understanding of the foundations and context of the ideas and show your incentive in action, both in terms of a creative framing of the work and the depth and breadth of background investigations. The project will integrate the subject knowledge and generic skills that you will acquire during your Masters.

· We offer a wide range of projects, and each student is allocated an individual project. We take your preferences into account when we allocate the projects.

· You will also have the opportunity to propose your own project, subject to academic approval.

Please find below some example projects:

· Quantum Spin Chains.

· The Representation Theory of the Symmetric Group.

· The Steenrod algebra and its dual.

· Galois theory of commutative rings.

· Local Frobenius algebras.

· Leibniz algebras.

· Monodromy and Isomonodromy: solutions of linear ODEs in the large.

· Frobenius manifolds.

· Mathematical modelling of pressure changes in the brain.

· Reciprocity in number theory.

· Discrete Integrable equations

· Cardiovascular flow.

Furthermore for students hoping to continue into research, we have seven major research groups:

Applied Maths research:

· Fluids & Magnetohydrodynamics

· Integrable Systems and Mathematical Physics

· Mathematical Biology

· Solid Mechanics

Pure Maths research:

· Algebra

· Analysis

· Geometry & Topology

Most MSc students choose projects offered by these groups, giving them an opportunity to go on to PhD study.

Information for international students

IELTS 6.5 (with no subtest less than 6) iBT TOEFL 92 (with no less than 21 in Listening & writing, 22 in reading, 23 in speaking) Cambridge ESOL Certificate in Advanced English (CAE) - B minimum or Certificate of Proficiency in English (CPE) - C minimum

Fees and funding

UK students
International students


Qualification and course duration


part time
24 months
full time
12 months

Course contact details

Postgraduate Admissions Team