Courses & Units
Algebra 3 KMA351
Hobart
This unit is being phased out, no new enrolments are being taken.
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? | |
| Delivered By | Delivered wholly by the provider |
| Level | Advanced |
Availability
| Location | Study period | Attendance options | Available to | ||
|---|---|---|---|---|---|
| Hobart | Semester 1 | On-Campus | International | Domestic | |
Key
- On-campus
- Off-Campus
- International students
- Domestic students
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 (refer to How do I withdraw from a unit? 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. Note census date cutoff is 11.59pm AEST (AEDT during October to March).
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.
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 | $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 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 KMA254Teaching
| Teaching Pattern | 3 x 1-hr lectures, 1 x 1-hr tutorial |
|---|---|
| Assessment | Mid-semester test (20%)|Weekly assignments (20%)|Exam (60%) |
| Timetable | View the lecture timetable | View the full unit timetable |
Textbooks
| Required |
N/A |
|---|---|
| Recommended | Recommended reading | Links | Booktopia textbook finder |
The University reserves the right to amend or remove courses and unit availabilities, as appropriate.