Course outline

MAM4000W (Honours in Mathematics) is a one year structured course that is designed to provide an introduction to some topics in pure mathematics that are basic to a professional mathematician. The course is made up of a number of modules and a compulsory project, each of which is worth a certain number of credits. You must accumulate at least 160 credits, as per the table below:

Honours in Mathematics (MAM4000W)
3-4 Core Modules 20 credits each
Project 40 credits
Other Modules usually 20 credits each
Total ≥160 credits
  • You can take more than 160 credits of modules. If you do, your mark for MAM4000W will (more or less; see below for the details) be calculated using your "best 160 credits".
  • Most modules are 30 lectures.
  • The lecture timetable for all of the Honours modules is decided at a meeting on the first day of class.

All Mathematics and Applied Mathematics Honours Students are required to tutor in the Department of Mathematics and Applied Mathematics.

Designing your curriculum

All curricula must be approved by the Honours Program Convenor. It is particularly important to consult the Convenor if you are thinking of taking a reading module, modules in other departments, or considering whether you might be allowed to take an undergraduate module as part of your Honours degree.

The following core, elective, and DMTCS modules will be offered in 2024.

1st Semester 2nd Semester
Algebra [core]

Dr Tamar Janelidze-Gray 

Analysis II

Dr Francois Ebobisse
Analysis [core]

Associate Prof Elena Berdysheva

Homological Algebra

Dr Tamar Janelidze-Gray

Topology [core]

Dr Yanga Bavuma

Special Topics in Topology

Dr Francesco Russo 

Differential Geometry [core]

Dr Shajid Haque 

Computer Algebra

Not offered in 2024. 

Category Theory

Professor George Janelidze

Lie Algebras Morgan Vandeyar
DMTCS1 (Complexity Theory)
Dr Holger Spakowski
DMTCS2 (Graph Theory)

Dr Imran Allie


The Applied Mathematics that will be offered in 2024 are listed here.

How we calculate your final mark

  • If you do more than the minimum of 160 credits, we'll calculate your final mark for MAM4000W using your "best 160 credits". However, your final mark must include:
    • The marks for at least three Mathematics Core Modules.
    • The mark for your Project. 
  • The Project mark counts 25% of your final MAM4000W mark.
  • In some of your modules, the final mark is a combination of a class mark (assignments, tests, etc) and your exam mark. How much each counts towards your final mark for a module varies. On average, however, your exam marks for your modules must count at least 50% of the final mark for the course excluding the Project.
  • If you do only three core modules, then the marks for those three count 37.5% of your final mark for MAM4000W. If you do all four, the best three core module marks count; for the purposes of calculating your final mark, the fourth module is then counted as an elective (and so counts if the mark is high enough relative to your other marks).
  • The remaining 37.5% of the final mark is calculated using your best marks in your other modules.