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
Prohibition
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