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Algebra and Real Analysis unit (KMA321)

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Unit year 2025

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2027 Unit information is now available. View 2027 unit information

Location: Hobart

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

Introduction

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.

Summary

Unit name Algebra and Real Analysis
Unit code KMA321
Credit points 12.5
College/School Sciences and Engineering
School of Natural Sciences
Discipline Mathematics
Coordinator Associate Professor Jeremy Sumner
Available as an elective? Yes
Delivered By University of Tasmania
Level Advanced

Availability

Location Study period Attendance options Available to
Hobart Semester 1 This unit is available through on-campus delivery Available to International Students Available to Domestic Students
  • Key:
  • This unit is available through on-campus delivery On-campus
  • This unit is available through off-campus delivery Off-Campus
  • Available to International Students International students
  • Available to Domestic Students Domestic students
Note

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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 24/02/2025 25/03/2025 14/04/2025 01/06/2025

* 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 2025 are indicative and subject to change. Finalised census dates for 2025 will be available from the 1st October 2024. 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

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 $578.00 $578.00 not applicable $2,780.00
  • 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 UniConnect 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

KMA254

Mutual Exclusions

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

KMA251, KMA315 and KMA351

Teaching

Teaching Pattern

3 x 1hr 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

Textbooks

Required

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

The University reserves the right to amend or remove courses and unit availabilities, as appropriate.