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 (www.gap-system.org). This … For more content click the Read More button below.

Offerings

S1-01-CLAYTON-ON-CAMPUS

Requisites

Prerequisite

Rules

Enrolment Rule

Contacts

Chief Examiner(s)

Associate Professor Heiko Dietrich

Unit Coordinator(s)

Associate Professor Heiko Dietrich

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.

Teaching approach

Active learning

Assessment summary

 

 

Assessment

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

Scheduled and non-scheduled teaching activities

Applied sessions
Lectures

Workload requirements

Workload

Learning resources

Technology resources

Other unit costs

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

Availability in areas of study

Master of Mathematics