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
Problem-based learning
Active learning
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