Advanced Topics in Algebra unit (KMA453)

Introduction

This Honours-level unit provides topics in algebra suitable for advanced undergraduate learning. Specifics may differ slightly from year to year based on staff availability and students’ interests. Topics will be typically chosen from: i) Matrix groups and Lie algebras; ii) Representation theory; iii) Combinatorial groups; iv) Semigroup theory; v) Algebraic geometry. This unit is an optional unit for students enrolled in Honours Mathematics, Statistics, or Physics, or by permission of the Unit Coordinator.

Summary

Unit name	Advanced Topics in Algebra
Unit code	KMA453
Credit points	12.5
College/School	Sciences and Engineering School of Natural Sciences
Discipline	Mathematics
Coordinator	Associate Professor Jeremy Sumner
Delivered By	University of Tasmania
Level	Honours

Learning Outcomes

• Apply the fundamental concepts of advanced abstract algebra, through formulating mathematical proofs;
• Identify and develop solutions to applied scientific problems using abstract algebra;
• Use abstract algebraic structures, and explain their appearance in a broad range of mathematical contexts;
• Apply logic, reasoning and a variety of communication skills to present mathematical ideas and results.

Fee Information

Field of Education	Commencing Student Contribution 1,3	Grandfathered Student Contribution 1,3	Approved Pathway Course Student Contribution 2,3	Domestic Full Fee 4
			not applicable

¹ Please refer to more information on student contribution amounts.
² Please refer to more information on eligibility and Approved Pathway courses.
³ Please refer to more information on eligibility for HECS-HELP.
⁴ Please refer to more information on eligibility for FEE-HELP.

If you have any questions in relation to the fees, please contact UniConnect or more information is available on StudyAssist.

Please note: international students should refer to What is an indicative Fee? to get an indicative course cost.

Requisites

Prerequisites

Students may enrol in this unit if they are eligible to enrol in Honours Mathematics, Statistics and Decision Science, or Physics, or by agreement with the Mathematics Honours Coordinator.

Teaching

Teaching Pattern	2 x 1-hr lectorial and/or demonstration weekly, 1 x 1-hr tutorial weekly.
Assessment	Presentation (10%)|Assignment (multiple) (30%)|Test 1 (30%)|Test 2 (30%)
Timetable	View the lecture timetable | View the full unit timetable

Textbooks

Required	Any course notes provided by Unit Coordinator.
Recommended	Recommend readings will be provided by the Unit Coordinator at the start of the unit.

The University reserves the right to amend or remove courses and unit availabilities, as appropriate.