This unit provides an abstract development of two standard algebraic structures: rings and vector spaces. Topics covered include homomorphisms; kernels, ideals, and cosets; factor rings; subspaces; linear maps; isomorphism; factor spaces; and the algebra of linear maps. Students will obtain a clear understanding of the power of the abstract approach. Particular highlights include the ring homomorphism theorem, the algebraic definition of dimension and associated conservation theorem, and the origin of matrix algebra.
|Unit name||Algebra 3|
|Faculty/School||College of Sciences and Engineering
School of Natural Sciences
|Discipline||Mathematics & Physics|
Dr Jeremy Sumner
|Available as student elective?||Yes|
|Location||Study period||Attendance options||Available to|
- International students
- Domestic students
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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.
Special approval is required for enrolment into TNE Program units.
|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 2019 are indicative and subject to change. Finalised census dates for 2019 will be available from the 1st October 2018.
|Band||CSP Student Contribution||Full Fee Paying (domestic)||Field of Education|
|2||2018: $1,148.00||2018: $2,243.00||010101|
Fees for next year will be published in October. The fees above only apply for the year shown.
Please note: international students should refer to this page to get an indicative course cost.
You cannot enrol in this unit as well as the following:
3x1-hr lectures, 1-hr tutorial
3-hr exam (60%), mid-semester test (15%), assignments (25%)
|Timetable||View the lecture timetable | View the full unit timetable|
Flexible Study Options
Information about any textbook requirements will be available from mid November.
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