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Master of Science by Coursework in Mathematical Modelling and Scientific Computing

  • 1. The Divisional Board of Mathematical, Physical and Life Sciences shall appoint for the supervision of the course a supervisory committee, including a member from outside the University, which shall have the power to approve lectures and other instruction. The committee shall appoint a Course Director who will be responsible for ensuring that the programme is set up and the decisions of the committee are carried out.

  • 2. The Course Director shall arrange for the appointment of a supervisor for each candidate.

  • 3. Each candidate shall follow a course of study in Mathematical Modelling and Scientific Computing for three terms and their corresponding vacations.

  • 4. Candidates will complete and be assessed on all the following parts:

    • (i) Four written examinations on core course material in mathematical methods and numerical analysis. These examinations will be organised within the department [1 unit each];

    • (ii) Two Special Topics chosen from a list that will be published each year. One special topic should be labelled 'Modelling' and one should be labelled 'Scientific Computing'. These Special Topics will be assessed by a written project [1 unit each];

    • (iii) Case Studies in Mathematical Modelling and Scientific Computing. Students will submit a project on each of these courses for assessment [1 unit each];

    • (iv) One further Special Topic or one further Case Study in either Mathematical Modelling or Scientific Computing [1 unit];

    • (v) A dissertation on a topic approved by the examiners. The dissertation need not necessarily contain original research to pass. [4 units].

      The detailed requirements will be set out each year on the course website.

  • 5. The dissertation must be submitted not later than noon on a date to be specified by the examiners which will normally be at the end of August or early September.

  • 6. Candidates will be required to attend an oral examination at the end of the course of studies.

  • 7. In addition to the academic elements of the course there will be a programme of career development activities requiring participation from each student.

  • 8. The examiners may award a distinction for excellence in the whole course.

  • 9. A candidate who fails the course will be permitted to retake it on one further occasion only. This resit attempt shall normally be taken at the next opportunity, but may be deferred once, i.e. it must be taken at one of the next two opportunities. In such a case the examiners will specify at the time of failure which of the assessed components of the course may or must be redone. No candidate who has satisfied the examiners in any one of the examinations may enter again for the same examination.

Schedule

Mathematical methods including ordinary and partial differential equations, distributions, asymptotics and the mathematics of data. Mathematical modelling and application of mathematics to problems in physical sciences, biology and medicine, industry and other areas.

The numerical solution of ordinary and partial differential equations. Finite element methods, numerical linear algebra, numerical methods for optimisation and approximation.