Courses & Units

Algebra & Real Analysis KMA321

Note:

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 & 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 student elective? Yes
Delivered By University of Tasmania

Availability

This unit is currently unavailable.

Note

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* 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. 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.
Field of Education Commencing Student Contribution 1 Grandfathered Student Contribution 1 Approved Pathway Course Student Contribution 2 Domestic Full Fee
not applicable

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

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 this page 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

1 x 3-hr lecture weekly, 1 x 1-hr tutorial weekly

AssessmentMid-semester test (20%)|Weekly Assignments (20%)|Examination (60%)
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.

LinksBooktopia textbook finder

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