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Mathematical Modelling and Scientific Computing – (M.Sc.)

University of Oxford

Mathematical, Physical and Life Sciences
Annual Tuition Fee: ≈ € 3,739 - ≈ € 13,455 (non-EEA)
Location: Oxford / United Kingdom / View location on map ▾ Hide location on map ▴
Duration: 12 months Start Date: October
Educational Form:
  • Taught
Education Variants:
  • Fulltime
Languages: English 
-1.262887,51.757593

Location of University of Oxford

This 12-month course provides training in the application of mathematics to a wide range of problems in science and technology. Emphasis is placed both on the formulation of problems and on the analytical and numerical techniques for their solution and the computation of useful results.

In addition to coursework on mathematical methods, small groups of students develop models for non-standard problems and evaluate their potential. The numerical analysis covers topics in linear algebra, approximation theory, and optimisation.

The course is taught jointly by the Oxford Centre for Industrial and Applied Mathematics (OCIAM) and the Numerical Analysis Group. In addition to coursework on mathematical methods, small groups of students develop models for non-standard problems and evaluate their potential. The numerical analysis covers topics in linear algebra, approximation theory, and optimisation, as well as finite element and finite difference methods.


Contents

Oxford's M.Sc. in Mathematical Modelling and Scientific Computing aims to train graduates with a strong mathematical background to develop and apply their skills to the solution of real problems.

By the end of the course students should be able to formulate a well posed problem in mathematical terms from a possibly sketchy verbal description, carry out appropriate mathematical analysis, select or develop an appropriate numerical method, write a computer program which gives sensible answers to the problem, and present and interpret these results for a possible client. Particular emphasis is placed on the need for all these parts in the problem solving process, and on the fact that they frequently interact and cannot be carried out sequentially.

To complete this course a student must complete 13 units, counted as follows:

* Core courses (1 unit each): normally 24 lectures + classes + exam. There are four core courses: one on Mathematical Methods and one on Numerical Analysis in each of MT and HT. Each course will be assessed by a written examination on Thursday of Week 0 of the following term. Every student must complete the core courses. [The only exception is that a student who has already completed one of these courses as an Oxford undergraduate may arrange (with the Course Organiser in Week 0 of MT or HT) to take an extra special topic or case study instead.]
* Special topics (1 unit each): normally 12-16 lectures + mini-project. There are about twenty special topics to choose from spread over all three terms. Each student must do at least one special topic in the area of Modelling (M) and one in the area of Computation (C).
* Case Studies in Modelling and in Scientific Computing (1 unit each): normally 4 weeks of group work + oral presentation + report (HT). Each student must do at least one modelling case study and at least one scientific computing case study.
* Dissertation (4 units): ~50 pages, not necessarily original. Here is a list of recent dissertation titles.

Students will normally accumulate 4 units for core courses + 3 units for special topics + 2 units for case studies + 4 units for dissertation.

In addition all students must attend:

* Mathematical Modelling classes in MT
* Practical Numerical Analysis classes in MT
* Additional Skills classes in MT

You are normally required to take an English Proficiency Test if you come from a non-English speaking country.

Most European Universities recognise the IELTS test.

More information

Requirements

The usual background is a good undergraduate degree (for UK applicants this means a 2.1 or higher) in a subject with significant mathematical content.

A reasonable level of competency in mathematical analysis and linear algebra is required for this course. The speed at which the course proceeds does not allow any time to catch up on basic material.

English language competence

* IELTS: an overall score of 7.5
* TOEFL: an overall score of 630
* Cambridge Certificate of Proficiency in English (CPE) Grade B.

Language Proficiency

Cambridge English: Advanced (CAE): Grade A (Score: 80)

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