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|
|College/School||College of Sciences and Engineering
School of Natural Sciences
|Coordinator||Associate Professor Jeremy Sumner|
|Available as student elective?||Yes|
|Delivered By||University of Tasmania|
|Location||Study period||Attendance options||Available to|
- International students
- Domestic students
Please check that your computer meets the minimum System Requirements if you are attending via Distance/Off-Campus.
Units are offered in attending mode unless otherwise indicated (that is attendance is required at the campus identified). A unit identified as offered by distance, that is there is no requirement for attendance, is identified with a nominal enrolment campus. A unit offered to both attending students and by distance from the same campus is identified as having both modes of study.
|Study Period||Start date||Census date||WW date||End date|
* 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.
- 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|
- 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
Please note: international students should refer to this page to get an indicative course cost.
PrerequisitesKMA251 OR KMA254
3 x 1-hr lectures, 1 x 1-hr tutorial
|Assessment||Mid-semester test (20%)|Weekly assignments (20%)|
|Timetable||View the lecture timetable | View the full unit timetable|
|Links||Booktopia textbook finder|
The University reserves the right to amend or remove courses and unit availabilities, as appropriate.