Overview

Groups are abstract mathematical objects capturing the concept of symmetry, and therefore are ubiquitous in many mathematical disciplines and other fields of science, such as physics, chemistry, and computer science. This unit is an introductory course on group theory and computational methods, using the computer algebra system GAP. This unit … For more content click the Read More button below.

Rules

Enrolment Rule

Contacts

Chief Examiner(s)

Associate Professor Heiko Dietrich

Unit Coordinator(s)

Associate Professor Heiko Dietrich

Notes

This unit is offered in alternate years commencing Semester 1, 2019.

Learning outcomes

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

Formulate complex problems using appropriate terminology in algebra;

2.

Demonstrate a profound understanding of abstract concepts in group theory;

3.

Appreciate the nature of algebraic proofs, be able to use a variety of proof-techniques unique to working with groups;

4.

Apply a variety of expert algorithms for different algebraic objects, in particular, groups;

5.

Use the computer algebra system GAP to compute with groups and related structures.

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.

Workload requirements

Workload

Other unit costs

Costs are indicative and subject to change.
Miscellaneous Items Required (Printing, Stationery) - $100.

Availability in areas of study

Master of Mathematics