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MSc in Mathematical Modelling and Scientific Computing

About the course

This one-year master's course provides training in the application of mathematics to a wide range of problems in science and technology. Emphasis is placed on the formulation of problems, on the analytical and numerical techniques for a solution and the computation of useful results.

Course structure

The course consists of both taught courses and a dissertation. To complete the course, you must complete 12 units. You will accumulate four units in core courses, two units in special topics, two units in case studies and four units in the dissertation. In addition, you will attend classes in mathematical modelling, practical numerical analysis and additional skills during Michaelmas term. 

Core courses (accumulating four units)

There are four core courses which you must complete (one unit each), which each usually consist of 24 lectures, classes and a written examination.

The core courses are:

  • Mathematical Methods I
  • Mathematical Methods II
  • Numerical Solutions of Partial Differential Equations and Numerical Linear Algebra
  • Numerical Linear Algebra and Continuous Optimisation.

Special topics (accumulating two units)

You must choose one special topic in the area of modelling and one in computation (one unit each). There are around 25 special topic courses to choose from, spread over the first and second academic terms, each usually consisting of 16 lectures and a mini project. Topics covered usually include mathematical biology, fluid mechanics, perturbation methods, the mathematics of data, numerical optimisation and scientific computing.

Case studies (accumulating two units) 

You must undertake one case study in mathematical modelling and one in scientific computing (one unit each). These courses take place in Hilary term and normally consist of group work, an oral presentation (for mathematical modelling only) and a written report.

Dissertation (four units)

You will write a dissertation  of around 40 to 50 pages. This is normally produced in the third term (Trinity term) and over the long vacation. Since there is another MSc focussed on mathematical finance specifically, the MSc in Mathematical and Computational Finance, you are not permitted to undertake a dissertation in this field.

Pattern of learning and teaching

In the first term (Michaelmas term), you should expect your weekly schedule to consist of around seven hours of core course lectures and five hours of modelling, practical numerical analysis and additional skills classes, then a further two hours of lectures for each special topic course followed. In addition, there are around three hours of classes, and you should expect to spend time working through the associated problem sheets prior to each class. There are slightly fewer contact hours in the second term (Hilary term), but you will spend more time working in groups on the case studies.

The expectation is that you will spend most of the third term and long vacation working on your dissertation. During this time, you should expect to work hours that are equivalent to full-time working hours, although extra hours may occasionally be needed. You will be expected to write special topic and case study reports during the Christmas and Easter vacations, as well as revising for the core course written examinations.

Intended learning outcomes

You will gain knowledge of:

  • core methods of applied mathematics and numerical analysis;
  • computer programming of mathematical algorithms;
  • mathematical modelling;
  • more advanced topics in modelling, methods and numerical analysis;
  • how to undertake a short research project in an area of applied mathematics;
  • how to communicate mathematics effectively, both orally and in written form.

Attendance

The course is full-time and requires attendance in Oxford. Full-time students are subject to the University's Residence requirements.

Resources to support your study

As a graduate student, you will have access to the University's wide range of world-class resources including libraries, museums, galleries, digital resources and IT services.

The Bodleian Libraries is the largest library system in the UK. It includes the main Bodleian Library and libraries across Oxford, including major research libraries and faculty, department and institute libraries. Together, the Libraries hold more than 13 million printed items, provide access to e-journals, and contain outstanding special collections including rare books and manuscripts, classical papyri, maps, music, art and printed ephemera.

The University's IT Services is available to all students to support with core university IT systems and tools, as well as many other services and facilities. IT Services also offers a range of IT learning courses for students, to support with learning and research.

The Mathematical Institute's home is the purpose-built Andrew Wiles Building, opened in 2013. This provides ample teaching facilities for lectures, classes and seminars. The Mathematical Institute provides IT support, and students can use the department's Whitehead Library, with an extensive range of books and journals. Wi-fi is available throughout the building.
The Mathematical Institute provides six lecture theatres and six class rooms. The largest lecture theatre seats up to 360 people and all classrooms can accommodate 20 people. A shared office with desktop computers and a hot desking arrangement is allocated to students on arrival.

Graduate students have access to the department common room, where graduate students regularly gather for coffee and other social occasions and the mezzanine level of the Andrew Wiles Building houses a café and teaching spaces.

Supervision

The allocation of graduate supervision for this course is the responsibility of the Mathematical Institute and it is not always possible to accommodate the preferences of incoming graduate students to work with a particular member of staff. Under exceptional circumstances a supervisor may be found outside the Mathematical Institute.

You will be assigned an initial supervisor on arrival in Oxford whose role is to act as an academic advisor during the first two terms of the course. In the third term, your supervisor will usually change when you start work on your dissertation.

Assessment

Assessment takes place throughout the course. To complete the course, you must complete 12 units.

Each one-unit core course on mathematical methods or numerical analysis is assessed by written examination. The first two examinations on mathematical methods and numerical analysis usually take place in Week 0 of Hilary term. The second two examinations usually take place in Week 0 of Trinity term.

Each one-unit special topic culminates in an assessed written report. Special topic reports based on Michaelmas term lecture courses are generally submitted at the beginning of Hilary term and special topic reports based on Hilary term lectures courses are submitted at the beginning of Trinity term. 

Each one-unit case study is taught in Hilary term. For mathematical modelling you will give an assessed group presentation at the end of Hilary term as well as submitting an individual written report at the beginning of Trinity term. For the scientific computing case study assessment will solely be based on your written report which will be submitted early in Trinity term.

Finally, you will produce a dissertation (contributing four units) during Trinity term and the long vacation and you will have an oral examination on this in mid-September. While your dissertation does not necessarily need to contain original ideas, credit will be given for originality and performance in the oral examination. In addition, the dissertation will be assessed on the mathematical content and accuracy, including the mathematical formulation of the problem and the subsequent analysis and solution, as well as the presentation, in particular whether the report is written clearly and in a scholarly manner.

Graduate destinations

Recent destinations include further research into mathematics and related fields, as well as roles in a variety of industries including data science, mathematical consultancy, finance, software engineering and scientific research.

Changes to this course and your supervision

The University will seek to deliver this course in accordance with the description set out in this course page. However, there may be situations in which it is desirable or necessary for the University to make changes in course provision, either before or after registration. The safety of students, staff and visitors is paramount and major changes to delivery or services may have to be made if a pandemic, epidemic or local health emergency occurs. In addition, in certain circumstances, for example due to visa difficulties or because the health needs of students cannot be met, it may be necessary to make adjustments to course requirements for international study.

Where possible your academic supervisor will not change for the duration of your course. However, it may be necessary to assign a new academic supervisor during the course of study or before registration for reasons which might include illness, sabbatical leave, parental leave or change in employment.

For further information please see our page on changes to courses and the provisions of the student contract regarding changes to courses.

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