M.Sc. Mathematics / Applied Mathematics

University of Glasgow

Tuition fee:
  • € 5,290 / Year (EEA)
  • € 17,633 / Year (Non-EEA)
Start date: September  2015
Duration full-time: 12 months
Languages:
  • English
Location:
Disciplines:
Delivery mode: On Campus
Educational variant: Part-time, Full-time

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Description

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You will attend lectures, seminars and tutorials and 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.

Project stage

All MSc students must take undertake the research project (60 credits).

Contents

You will attend lectures, seminars and tutorials and 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.

Project stage

All MSc students must take undertake the research project (60 credits).

* Modes of delivery of the MSc programmes in Mathematics include lectures, laboratory classes, seminars and tutorials and allow students the opportunity to take part in lab, project and team work.
* 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.

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 foundation courses.

Further information regarding academic entry requirements:student.recruitment@glasgow.ac.uk

For applicants whose first language is not English, the University sets a minimum English Language proficiency level.

International English Language Testing System (IELTS) Academic module (not General Training):

* overall score 6.5
* no sub-test less than 6.0
* or equivalent scores in another recognised qualification (see below)

Common equivalent English language qualifications:

* ibTOEFL: 92; no sub-test less than 20
* CAE (Cambridge Certificate of Advanced English): Bminimum
* CPE (Cambridge Certificate of Proficiency in English): Cminimum
* PTE Academic (Person Test of English, Academic test): 60; no sub-test less than 59

Pre-sessional courses
The University of Glasgow accepts evidence of the required language level from the Language Centre Pre-sessional courses. We also consider other BALEAP accredited pre-sessional courses:

* Language Centre, University of Glasgow
* BALEAP guide to accredited courses

Funding

Please see the following webpage for details of all scholarships,

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