Course Information Undergraduate prospectus

Contemporary Topics in Mathematics

Course summary

Course code: MATH1157
Level: 7
Credits: 30
School: Architecture, Computing and Hums
Department: Mathematical Sciences
Course Coordinator(s): Mary Mcalinden


Pre and co requisites

Passing Level 6 of the MMath Mathematics programme

Learning outcomes

On successful completion of this course a student will be able to:

1. Analyse problems in a variety of mathematical contexts, select and apply appropriate mathematical techniques and critically evaluate their effectiveness.

2. Synthesise mathematical information from a range of domains and apply this in unfamiliar contexts.

3. Use research techniques, such as literature review, to explore mathematical topics and inform conclusions.

4. Communicate information in a variety of forms suitable for a range of audiences.

Indicative content

A selection of four topics will be covered each year, with some variation possible from year to year. Each topic will be taught over six contiguous weeks, with two topics in each term. Two of the topics will be more theoretical in nature and will be assessed by an end-of-year examination (50% of the overall course grade) while two of the topics will be more applied, and will be assessed by investigative courseworks (50% of the overall course grade). The actual topics taught may vary from year to year depending on staffing. However the course will be designed to ensure that students encounter at least one current area of research which is in progress within the Department. The following is an indicative list of topics:

Complex Analysis
Abstract Algebra
Advanced Scheduling
Advanced Optimisation

Teaching and learning activity

Concepts and techniques will be introduced and demonstrated in lectures and tutorial sessions.
This will be supplemented by individual study requiring individual research.


Summative assessment: Coursework 1 - 25%
LO - 1-4
Investigative coursework covering the material taught in the first applications-oriented topic.

Summative assessment: Coursework 2 - 25%
LO - 1-4
Investigative coursework covering the material taught in the second applications-oriented topic.

Summative assessment: Examination - 50%
LO - 1, 2, 4
Examination of 3 hours in duration covering the material taught in the other two topics.

Formative assessment: Weekly tutorial exercises