MSc in Mathematical Modelling and Scientific Computing
www.comlab.ox.ac.uk/oucl/courses/grad/mmsc
Summary
Oxford's MSc 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 description in engineering, physical, chemical,
financial or biological language, carry out any mathematical analysis that
is helpful, 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.
There are three main parts to the assessment of the course:
-
five compulsory
core courses in applied mathematics
and numerical analysis which are assessed by written examinations.
-
four
special topic courses (chosen from a wide
range of options) which are assessed by a short project.
-
the dissertation, often on some aspect of a real problem
arising from an industrial, financial, biological or algorithmic background,
and involving modelling, analysis and computation. A list of recent dissertations can be found
here.
The core and special topic courses are shared with the
MSc in Applied and Computational Mathematics.
In addition, students attend mathematical modelling classes and practical
numerical analysis classes, which are assessed by submitting projects.
General Information
The course organisers are Dr
Hilary Ockendon (OCIAM) and
Dr
Andy Wathen (Numerical Analysis Group); a good first contact point
for questions is
the Numerical Analysis Group Secretary (Computing Laboratory, Room 208,
email: MMSC-Admissions@comlab.ox.ac.uk, Tel: +44 (0)1865 273885).
Each student will have a supervisor
who will discuss their progress with them, and who can advise on what options
are suitable. Students may attend the lectures of any of the courses available,
in addition to the lecture courses they are taking for their assessment.
In particular the sessions on
additional
skills covering use of LaTeX, literature searches, numerical software, and advice about
special topics will be important.
The course lasts 12 months, from October to the following September.
Although the lecture courses are given during the three University terms,
much other work is carried out in the vacations, and students should expect
to spend most of the year in Oxford.
For the academic year 2002-2003, the course will begin with a week of
introductory material based at the Computing Laboratory, beginning at 9.30am on the
morning of Monday 7 October 2002.
The dates of the University Full Terms for the Academic Year 2002-2003 are
- Michaelmas Term 2002 (MT2002):
Sunday, 13 October 2002 - Saturday, 7 December 2002
- Hilary Term 2003 (HT2003):
Sunday, 19 January 2003 - Saturday, 15 March 2003
- Trinity Term 2003 (TT2003):
Sunday, 27 April 2003 - Saturday, 21 June 2003
Here is the Trinity Term 2003 timetable.The Hilary Term 2003
and Michaelmas Term 2002 timetables are available for information at
Hilary Term 2003
and Michaelmas Term 2002 timetable
Funding and Application Procedure
There is EPSRC funding to support this course
which can provide studentships for UK students and partial studentships for EC students.
In addition, the MSc Sponsorship Scheme provides a number of industrial bursaries each year
(NB: industrial
bursaries can provide partial funding, but not complete support);
applicants must indicate if they need support on the application form. Mature student applicants
should clearly state if they wish to apply for a mature student grant (as defined by the EPSRC);
such applicants will be considered on a case by case basis.
Various scholarships are also available for international
students: application for these
is entirely the responsibility of the student and should be made as early as possible.
Last year the course was sponsored by Mathengine, Schlumberger Cambridge Research, Nuon, Thales
Underwater Systems, Nomura International and Pilkington. All these companies provide topics for student dissertations which are jointly supervised
by company and university representatives.
Applications are now being considered for October 2003. Early application is strongly
encouraged. Applicants from the United Kingdom are normally required to attend an
interview. Applicants from outside the UK are not normally required to attend an interview.
Applications can be sent at any time but will be processed according to the following deadlines:
Applications: December 6th, 2002 for interview and decision in week commencing 13th January, 2003.
Applications: February 28th, 2003 for interview and decision in week commencing 17th March, 2003.
Applications: April 4th, 2003 for interview and decision in week commencing 21st April, 2003.
Applications: May 9th, 2003 for interview and decision in week commencing 26th May, 2003.
Applicants are reminded that they should ask their referees to provide references direct to the
Computing Laboratory by the application deadline.
Applications received after May 9th may still be considered but applicants should bear in
mind that there are a limited number of places available and that admission decisions will
be made at the end of each interview week. Overseas or other applicants who, for funding
purposes, require a decision before January 17th 2003 should indicate this in a covering
letter with their application.
An application form for the course may be obtained from:
Secretary for the MSc in Mathematical Modelling & Scientific Computing, Oxford University
Computing Laboratory, Wolfson Building, Parks Road, Oxford, OX1 3QD. Tel: +44 (0)1865 273885.
e-mail: MMSC-Admissions@comlab.ox.ac.uk.
Prerequisites
Prospective applicants should consult the list of desirable prerequisities
before proceeding. For UK applicants the normal requirement
is a 2.1 degree with significant mathematical content
though there is some flexibility for those with industrial experience.
Non-UK applicants are expected to have achieved an equivalent level.
The links below give answers to some most frequently asked questions:
Core Courses
There are five compulsory core courses:
The core courses consist of both lectures and examples classes, and students
must attend both. There is also a Numerical Analysis test at the end
of Michaelmas Term on B1. (This is not a formal part of the course assessment but
is intended to help students and supervisors see where extra work is needed.)
Some
preparatory
reading relating to the core courses is suggested. The core courses
are each assessed by a written examination in April, consisting of two
papers, Paper A and
Paper B.
Paper A will contain at least 3 questions on each of courses A1
and A2. Paper B will contain at least 2 questions on each of courses B1,
B2 and B3.
Practical computing and mathematical modelling skills
All students will learn MATLAB at the start of the course if they do not
already know it. In Michaelmas Term students will take
Practical
Numerical Analysis I classes and Mathematical
Modelling I classes which will include group work and presentation
of results. There will be a Mathematical Modelling test at the end of
Michaelmas Term on the material covered in the Mathematical Modelling I classes.
In Hilary Term, students will attend
Mathematical
Modelling II classes and
Practical
Numerical Analysis II classes, and will write up two projects (one
based on each set of classes) for assessment.
Special Topics
There is a great variety of special topic lecture courses listed below.
Each falls under a broad heading of Modelling, Computation or Other, and
is marked [M], [C] or [O] accordingly. Students must write four special
topics for assessment, including at least one on a Modelling course marked
[M] in the list, and at least one on a Computation course marked [C] in
the list. A special topic usually consists of either answers to a set of
questions or a miniproject on a topic agreed with the lecturer. Students
wishing to do a special topic on one of these courses must inform the lecturer
before half the lectures have been given, and the special topic must be
handed in to the lecturer within 6 weeks of the end of the term for Michaelmas
and Hilary Term lecture courses, or within 2 weeks of the end of term for
Trinity Term lecture courses. The lecturer will assess the work and make
a recommendation to the examiners.
Special Topic Courses
Michaelmas Term 2002
Hilary Term 2003
Trinity Term 2003
-
Spectral Methods for ODEs and PDEs [C], Prof L N Trefethen,
-
Advanced Topics in Mathematical Finance [M], Dr J N Dewynne,
Dr S D Howison and Dr B Hambly
-
Nonlinear
Dynamics and Chaos [M], Dr P McSharry
-
Numerically Intensive Computing for Finance [C], Prof M Giles
-
Econophysics [O], Prof N Johnson
-
Free and Moving Boundary Problems [C], Dr
J D P Donnelly
-
Biological Fluid Mechanics [O] Dr I Sobey
-
Mathematics for Geoscience, [O] Dr C Farmer (Schlumberger)
-
Convex Analysis, [O] Dr R Hauser
Students may ask the Supervisory Committee for permission to offer a special
topic based either on a lecture course not listed here, or on another appropriate
subject. The student should discuss this with his or her supervisor first.
In particular, students who wish to study Viscous
Flow (MT2002), or
Waves
and Compressible Flow (HT2003), or
Nonlinear
Systems (HT2003) may ask permission to write a special topic on one
of these courses. However, since these are third year undergraduate lecture
courses, the project must go beyond the undergraduate level, and permission
will only be granted to students who have not previously studied the material.
Dissertation
Students normally prepare their dissertations during Trinity Term and the
long vacation but it is often valuable to commence background work earlier.
The topic should be selected in consultation with your supervisor and the
details of the form and scope of the dissertation are described in the
Regulations. Here are some possible dissertation projects.
Also talk to any potential supervisors. A number of industrial topics suitable for dissertations will
be presented at a meeting in March by companies who sponsor the MSc course.
You will be required to give a short talk and answer questions on the
background to your dissertation topic at an open meeting, attended by supervisors,
examiners and sponsors, to be held at the end of June 2003.
In normal circumstances the body of the dissertation (excluding appendices
etc.) should not exceed 50 pages.
Your dissertation should be handed in to the Examination Schools by
mid-day on Friday 12 September 2003.
The oral examination will be held at the end of September and
you will be expected to answer questions on your dissertation. If your
performance in the written examination, or the assessment of your special
topics, is weak, you may also expect to be asked questions on your special
topics at the oral.
Checklist
In summary, if you are a student on this course you need to complete:
-
5 Core courses: A1, A2, B1, B2, B3, assessed by examinations in April.
-
4 Special topics including at least one on a Modelling [M] course, and at
least one on a Computation [C] course.
-
A Dissertation due by mid-day on Friday, 12 September 2003 at the Examination Schools.
-
Practical Numerical Analysis and Mathematical Modelling Classes in Michaelmas Term.
-
Two tests in December on Maths Modelling classes and B1 Numerical Analysis
lectures to date. Sample questions from previous tests can be found
here
-
Further Practical Numerical Analysis and Mathematical Modelling Classes
in Hilary Term, each assessed by a written project.
- The marking conventions can be found here
Diary
Diary of important events for the academic year 2002-03.
Further Information Handbook
This Further Information Handbook contains important information about the
Computing Laboratory facilities, people and and safety and should be relevant throughout
your time at Oxford.