Algebra and Real Analysis unit (KMA321)

Hobart

Introduction

This third year, first-semester unit continues the development of crucial mathematical ideas, in particular providing core knowledge in abstract algebra and real analysis. The focus is an appreciation of the unity of algebraic structures appearing across many areas of mathematics and developing a deep understanding of the real number system and its completeness property. This unit is compulsory for the Mathematics major of the BSc.

Summary

Unit name	Algebra and Real Analysis
Unit code	KMA321
Credit points	12.5
College/School	Sciences and Engineering School of Natural Sciences
Discipline	Mathematics
Coordinator	Associate Professor Jeremy Sumner
Available as an elective?	Yes
Delivered By	University of Tasmania
Level	Advanced

Availability

Location	Study period	Attendance options		Available to
Hobart	Semester 1

Note

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Key Dates

Study Period	Start date	Census date	WW date	End date
Semester 1	23/02/2026	17/03/2026	20/04/2026	14/06/2026

* 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 2026 are indicative and subject to change. Finalised census dates for 2026 will be available from the 1st October 2025. Note census date cutoff is 11.59pm AEST (AEDT during October to March).

About Census Dates

Learning Outcomes

• Apply fundamental concepts of abstract algebra and analysis through formulating simple mathematical proofs.
• Identify and develop solutions to applied problems using abstract algebra and analysis.
• Present mathematical arguments in a clear and precise way by applying reasoning and a variety of communication skills.
• Synthesise the relationships between fundamental algebraic structures in a broad range of mathematical contexts.
• Determine the properties of sets, sequences, series and functions in the real number system.

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	$592.00	$592.00	not applicable	$2,919.00

• 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

KMA254

Mutual Exclusions

You cannot enrol in this unit as well as the following:

KMA251, KMA315 and KMA351

Teaching

Teaching Pattern	3 x 1hr Lectures weekly, 1 x 2-hr Tutorial weekly; 60 hours total over 12-week semester.
Assessment	Quiz #1 (15%)|Quiz #2 (15%)|Weekly Assignments (30%)|Examination (40%)
Timetable	View the lecture timetable | View the full unit timetable

Textbooks

Required	Required readings will be listed in the unit outline prior to the start of classes.

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