Courses & Units

Algebra 3 KMA351

This unit is being phased out, no new enrolments are being taken.

Note:

Introduction

Driven primarily through the lens of linear algebra, this unit provides an abstract development of standard algebraic structures: groups, rings, and vector spaces. Topics include: linear transformations, non-singularity and invertibility; isomorphism and homomorphism theorems; the algebra of linear transformations; polynomial ideals and the division algorithm; determinants and permutations; invariant subspaces, projection operators, minimal polynomials and the primary decomposition theorem.

Summary

Unit name Algebra 3
Unit code KMA351
Credit points 12.5
College/School College of 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

This unit is currently unavailable.

Note

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* 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 2023 are indicative and subject to change. Finalised census dates for 2023 will be available from the 1st October 2022. Note census date cutoff is 11.59pm AEST (AEDT during October to March).

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Learning Outcomes

  • Construct logical, clearly presented and rigorous mathematical derivations and arguments which incorporate deductive reasoning.
  • Recognise applied problems which can be solved using the abstract techniques developed in the unit.
  • Self-direct further learning to extend existing mathematical knowledge in abstract algebra and other mathematical areas.
  • Communicate mathematical ideas effectively using verbal and written expression.
Field of Education Commencing Student Contribution 1 Grandfathered Student Contribution 1 Approved Pathway Course Student Contribution 2 Domestic Full Fee
010101 $493.00 $493.00 not applicable $2,402.00

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 UConnect 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

KMA251 OR KMA254

Teaching

Teaching Pattern

3 x 1-hr lectures, 1 x 1-hr tutorial

AssessmentMid-semester test (20%)|Weekly assignments (20%)|Exam (60%)
TimetableView the lecture timetable | View the full unit timetable

Textbooks

Required

N/A

Recommended

Recommended reading
Any relatively advanced undergraduate text on Linear Algebra should include most of the topics covered in the unit. You are encouraged to browse the available texts in the university library to find one that suits your learning style.
Particular suggestions include:
i. A First Course in Abstract Algebra, Marlow Anderson, Todd Feil
ii. Sheldon Axler, Linear Algebra Done Right. Springer.
iii. Kenneth Hoffman and Ray Kunze, Linear Algebra. Princton University Press.
Comment: A classic (albeit old), difficult (but rewarding) textbook.
iv. Michael Artin, Algebra. Pearson Education Limited.

LinksBooktopia textbook finder

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