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.

Offerings

S1-01-CLAYTON-ON-CAMPUS
S1-FF-CLAYTON-FLEXIBLE

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.

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.
This unit is offered at both Level 4 and Level 5, differentiated by the level of the assessment. If you are enrolled in MTH5153 you will be expected to demonstrate a higher level of learning in this subject than those enrolled in MTH4153. The assignments and exam in this unit will use some common items from the MTH4153 assessment tasks, in combination with several higher level questions and tasks.

Workload requirements

Workload

Availability in areas of study

Master of Mathematics