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Pure Mathematics – (M.Sc.)

Imperial College London

Faculty of Natural Sciences
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Disciplines:
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Annual Tuition Fee: ≈ € 6,730 - ≈ € 19,073 (non-EEA)
Location: London / United Kingdom
Duration: 12 months Start Date: October
Educational Form:
  • Taught
Education Variants:
  • Parttime
  • Fulltime
Languages: English 
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Location of Imperial College London

The Pure Mathematics MSc course may be taken full or part-time, and it runs for 12 or 24 months respectively starting in October each year. Suitable applicants would normally have a good Honours degree in mathematics or a related subject.

A wide range of lecture modules will be available in analysis, geometry and topology, algebra, number theory and combinatorics. Each module will normally last for one term, and students will be examined in eight modules, as well as writing a substantial project.

The programmes aim to:

* · Provide high quality education in Mathematics within an environment committed to excellence in both teaching and research.
* · Attract well-qualified students and to provide intellectual challenge in a structure containing an appropriate amount of flexibility, so that students can develop their specialist interests.
* · Teach and provide the opportunities to learn a core of advanced (Pure or Applied) mathematics, together with a range of more specialised options in Mathematics.· Introduce students to a wide range of applications of Mathematics.
* · Equip students with a range of mathematical skills - in problem-solving, project work and presentation - to enable them to take prominent roles in a wide spectrum of employment and research.
* · Provide further breadth and depth of Mathematics beyond BSc, at a level comparable with the 4th year of an MSci.


Contents

Each degree programme is offered as a full-time 1-year course or a 2-year part-time course and leads to the MSc degree. The programme is organised into components of value ½ a course unit, with students taking 4 units in the year, or 2 units in each year for part-time students.

The project is outside the course unit system, but counts towards the overall result. Written examinations are normally held in May/June of each year. There are resit examinations the following year, where necessary.There is a compulsory extended project. The 8 lectured courses which make up the programme must usually be taken from the Imperial College London taught course MSc programme in Pure Mathematics, (these modules are equivalent to those given as part of the fourth year of the Mathematics MSci).

Courses offered as part of other MSc courses in other Departments, and in Colleges of the University of London may also be taken, with the approval of the MSc Course Organiser.

The following is a guide to the modules that will be available for study.

Analysis

* Elliptic partial differential equations
* Fourier series, probability
* Functional analysis
* Measure and integration
* Potential theory
* Stochastic analysis
* Stochastic processes

Geometry, topology, number theory

* Algebraic topology, differential geometry, algebraic geometry
* Elementary and algebraic number theory
* Elliptic curves and diophantine equations
* Geometry of curves and surfaces

Algebra and combinatorics

* Galois theory, coding theory, algebraic graph theory
* Group theory
* Lie algebras and algebraic groups
* Representation theory
* Rings and modules

IELTS

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Requirements

ENGLISH LANGUAGE REQUIREMENTS:

To obtain maximum benefit from studies at Imperial College all students must have a good command of the English Language. College therefore requires applicants to have taken an English Language test and achieved an acceptable grade or score before admission can be confirmed. The College Senate has approved the tests set out below. Please note that the scores or grades indicated are the minimum levels generally acceptable to the College. Departments have the discretion to prescribe higher requirements either for specific courses of study or in specific cases where there are serious doubts as to the abilities of individual students to undertake proposed programmes of study.

Students must make arrangements to take the appropriate test well in advance of the start of their course. Places will not be confirmed and students will not be allowed to register until confirmation of an acceptable result has been received as set out below.

* A first degree taught in English within the following countries: Australia, Canada, Ireland, Guyana, New Zealand, South Africa, United Kingdom, United States of America, West Indies.
* Candidates whose first degree was not taught in English but who have then successfully completed a one-year MSc (or equivalent) course at a UK university.
* A grade of not less than C in English Language in GCSE, IGCSE, GCE `O´ Level or equivalent.
* A grade of not less than C in the Cambridge Certificate of Proficiency in English (CPE).
* A pass in the University Test of English for Speakers of Other Languages (UETESOL).
* British Council IELTS Test
A score of not less than 6.5 including a score of 5.0 or better in the written and spoken English elements of the academic test.
* TOEFL
A score of not less than 90 overall in the internet-based test (iBT), to include 24 in Writing and 20 in Speaking; or 600 in the paper-based test (PBT), or 250 in the computer-based test (CBT), both to include a minimum score of 4.5 in the written English.

Please note: Imperial College's Institution Code for TOEFL is 0891.

Additional Requirements

Minimal degree required: Bachelor's degree
Minimal amount of work experience Not specified

Language Proficiency

IELTS Band: 6.5
TOEFL Paper-based: 600
TOEFL Computer-based: 250
TOEFL Internet-based: 90

Ask a Question

You can contact Professor John Elgin to ask a question about Pure Mathematics at Imperial College London.

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