Overview

Combinatorics is the study of arrangements and combinations of discrete objects. Combinatorial problems arise in many areas of pure mathematics, (e.g. algebra, probability, topology, and geometry), and in many applied areas as well (e.g. communications, operations research, experiment design, genetics, statistical physics etc). This unit will cover a selection of … For more content click the Read More button below.

Rules

Enrolment Rule

Contacts

Unit Coordinator(s)

Dr Daniel Horsley
Professor Ian Wanless

Notes

This unit is offered in alternate years commencing Semester 1, 2020

Learning outcomes

On successful completion of this unit, you should be able to:
1.

Formulate complex problems using appropriate combinatorial terminology.

2.

Demonstrate a profound understanding of the benefits and challenges unique to working with discrete mathematical objects.

3.

Recognise certain features of combinatorial problems which indicate their level of difficulty.

4.

Apply sophisticated combinatorial arguments in a variety of settings.

5.

Appreciate the role of combinatorics in other areas of mathematics.

6.

Understand several real-world applications of combinatorics.

Teaching approach

Peer assisted learning
Active learning
Problem-based learning

Assessment summary

  • Examination (3 hours and 10 minutes): 60% (Hurdle)
  • Continuous assessment: 40%

Hurdle requirement: If you would otherwise have passed the unit but who do not achieve at least 45% of the marks available for the end-of-semester examination will receive a Hurdle Fail (NH) grade and a mark of 45 on your transcript.

Assessment

1 - Continuous assessment
2 - Examination (3 hours and 10 minutes)

Workload requirements

Workload

Learning resources

Recommended resources

Availability in areas of study

Master of Mathematics