Courses & Units

Algebra & Real Analysis KMA321

This unit will be offered for the first time in 2022.


This third year, first-semester unit continues the development of crucial mathematical ideas, in particular providing core knowledge in abstract algebra and real analysis. The focus is an appreciation of the unity of algebraic structures appearing across many areas of mathematics and developing a deep understanding of the real number system and its completeness property. This unit is compulsory for the Mathematics major of the BSc.


Unit name Algebra & Real Analysis
Unit code KMA321
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


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


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.

Key Dates

Study Period Start date Census date WW date End date
Semester 1 26/2/2024 22/3/2024 15/4/2024 2/6/2024

* 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 2024 are indicative and subject to change. Finalised census dates for 2024 will be available from the 1st October 2023. Note census date cutoff is 11.59pm AEST (AEDT during October to March).

About Census Dates

Learning Outcomes

  • Apply fundamental concepts of abstract algebra and analysis, through formulating simple mathematical proofs.
  • Identify and develop solutions to applied problems, using abstract algebra and analysis.
  • Apply logic, reasoning and a variety of communication skills to present mathematical arguments in a clear and precise way.
  • Synthesise the relationships between fundamental algebraic structures, such as rings, groups and fields, and recognise their appearance in a broad range of mathematical contexts.
  • Analyse the conceptual and theoretical fundamentals of sets, sequences, series and functions in the real number system and apply this knowledge to determine their properties, such as compactness, convergence, completeness, and boundedness.

Fee Information

The 2024 Commonwealth Supported Place (CSP) rates are still being finalised by the Government and we will update the domestic fee information as soon as we have more details.




Mutual Exclusions

You cannot enrol in this unit as well as the following:

KMA251, KMA315 and KMA351


Teaching Pattern

1 x 3-hr workshop weekly (39 hours total), 1 x 1-hr tutorial weekly (13 hours total).

AssessmentQuiz #1 (15%)|Quiz #2 (15%)|Weekly Assignments (30%)|Examination (40%)
TimetableView the lecture timetable | View the full unit timetable



Required readings will be listed in the unit outline prior to the start of classes.

LinksBooktopia textbook finder

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