Advanced Topics in Algebra unit (KMA453)

Hobart

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

Availability

Location	Study period	Attendance options		Available to
Hobart	Semester 1
Hobart	Semester 2

Note

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Key Dates

Study Period	Start date	Census date	WW date	End date
Semester 1	24/02/2025	25/03/2025	14/04/2025	01/06/2025
Semester 2	21/07/2025	19/08/2025	08/09/2025	26/10/2025

* The Final WW Date is the final date from which you can withdraw from the unit without academic penalty, however you will still incur a financial liability (refer to How do I withdraw from a unit? for more information).

Unit census dates currently displaying for 2025 are indicative and subject to change. Finalised census dates for 2025 will be available from the 1st October 2024. Note census date cutoff is 11.59pm AEST (AEDT during October to March).

About Census Dates

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
010101	$578.00	$578.00	not applicable	$2,780.00

• Available as a Commonwealth Supported Place
• HECS-HELP is available on this unit, depending on your eligibility³
• FEE-HELP is available on this unit, depending on your eligibility⁴

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.