# Honours in Mathematics (MAM4000W)

### 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

- There are four Mathematics Core Modules. You must take at least three of them.
- You must complete a Project.
__To pass MAM4000W, you must obtain a mark of at least 50% for the Project and a weighted average mark of at least 50% for your coursework__. If you fail the Project but don't pass your coursework, or if you pass the Project but fail your coursework, you will fail MAM4000W.- The rest of your modules may be chosen from
- Mathematics Elective Modules.
- Discrete Mathematics and Theoretical Computer Science Modules.
- Applied Mathematics Modules.
- CERECAM Modules.
- Reading Modules on mathematical topics that are not otherwise offered.
- Modules offered at Honours level in other departments that have nontrivial mathematical content.
- In exceptional circumstances, a 3rd year undergraduate module.

**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 2020.

1st Semester | 2nd Semester | ||
---|---|---|---|

Algebra [core] | Lie Algebras | ||

Analysis [core] | Variational Methods for Elliptic PDEs | ||

Differential Geometry [core] | Homological Algebra | ||

Topology [core] | Special Topics in Topology | ||

Category Theory | |||

Computer Algebra | |||

DMTCS1 (Graph Theory) | DMTCS2 (Complexity Theory) |

The Applied Mathematics and CERECAM Modules that will be offered in 2020 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.