Postgraduate Studies

BSc Honours: Applied Mathematics

The Honours Programme in Applied Mathematics’ curriculum consists of nine-semester modules (the student’s own choice) and a short written project (this module is compulsory). Semester modules are examined at the end of the semester in which they are presented. The project is supervised by a lecturer and presented by the student as a lecture at a predetermined time. The project has the weight of one-semester module, examined internally. The choice of the semester modules is done in consultation with the Deputy Head of Department. Approved modules from related study fields up to a maximum of one year programme or two-semester modules may be included in the honours curriculum. The modules to choose from are listed below (prospective students should note that, from time to time, some of these courses will not be offered):

• Dynamical Systems A & B
• Relativity A & B
• Differential Equations A & B
• Numerical Analysis A & B
• Multi-linear Algebra
• Lie Groups and Lie Algebras
• Advanced Scientific Computation and Programming
• Quantum Computing

BSc Honours: Mathematics

The Honours Programme in Mathematics consists of 7-semester modules and a short written project. The project is done under the supervision of a member of the Department and must be presented as a lecture. It has the weight of two subject modules and is examined internally. Modules are selected in consultation with the Department and may be exchanged with modules from other departments up to a maximum of a one-year module or two-semester modules; for example, modules from Applied Mathematics, Statistics and Economics and Econometrics may be considered.

Admission to the Honours Programme is subject to approval by the Department. A prospective candidate must have a minimum average mark of at least 60% for (pure) Mathematics on the third year level and pass an entrance exam as set by the Department. Internal candidates with an average mark of at least 65% for (pure) Mathematics on the third year level may be exempted from writing the entrance exam, at the sole discretion of the Department.

The final mark for each of the theory modules in the Mathematics Honours Programme is calculated as follows: The semester mark contributes 40% and the examination mark 60% towards the final mark.

The modules to choose from are listed below (prospective students should note that, from time to time, some of these courses will not be offered):

• Algebra
• Graph Theory A & B
• Functional Analysis A & B
• Topology
• Measure and Integration Theory
• Ring Theory
• Set Theory and Logic
• Modal Logic
• Lattice Theory

MSc: Applied Mathematics or Mathematics

The Masters Programme in either Applied Mathematics or Mathematics consist of a guided research project, based on an approved topic, that must be submitted in the form of a dissertation at the end of the study period. A minimum of 65% for a relevant honours degree is required for admission, in addition to the approval of the application by the Department.

PhD: Applied Mathematics or Mathematics

The Doctoral Programme in either Applied Mathematics or Mathematics comprises a thesis which makes an original contribution to the research field approved for the study. Admission to the PhD Programme is subject to the approval of the Department, in addition to a minimum result of 65% for a relevant MSc degree.