Courses & Units

Algebra 3 KMA351




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.


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 student elective? Yes
Delivered By University of Tasmania
Level Advanced


Location Study period Attendance options Available to
Hobart Semester 1 On-Campus International Domestic


International students
Domestic students

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Key Dates

Study Period Start date Census date WW date End date
Semester 1 22/2/2021 23/3/2021 12/4/2021 30/5/2021

* 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 (see withdrawal dates explained for more information).

Unit census dates currently displaying for 2021 are indicative and subject to change. Finalised census dates for 2021 will be available from the 1st October 2020.

About Census Dates

Learning Outcomes

  • Construct logical, clearly presented and rigorous mathematical derivations and arguments which incorporate deductive reasoning.
  • Demonstrate a well-developed knowledge of the principles and concepts of abstract algebra.
  • 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
  • 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 here more information on student contribution amounts.
2 Information on eligibility and Approved Pathway courses can be found here
3 Please refer here for eligibility for HECS-HELP
4 Please refer here for 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 this page to get an indicative course cost.



KMA251 OR KMA254


Teaching Pattern

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

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





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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