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Linear Algebra and Differential Equations unit (KMA254)

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Location: Hobart

Introduction

This second-semester unit provides core knowledge in linear algebra and differential equations. The first half of the unit demonstrates the central role linear algebra plays in mathematics by covering the fundamental concepts of vector spaces and the analysis of linear maps via their realisation as matrices. The second half of the unit focuses on the mathematical description of phenomena that involve continuous change by developing techniques for analysing and solving systems of differential equations. This unit is compulsory for the Mathematics major of the BSc.

Summary

Unit name Linear Algebra and Differential Equations
Unit code KMA254
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 Intermediate

Availability

Location Study period Attendance options Available to
Hobart Semester 2 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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Key Dates

Study Period Start date Census date WW date End date
Semester 2 5/7/2026 27/7/2026 30/8/2026 24/10/2026

* 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 2026 are indicative and subject to change. Finalised census dates for 2026 will be available from the 1st October 2025. Note census date cutoff is 11.59pm AEST (AEDT during October to March).

About Census Dates

Learning Outcomes

  • Explain the fundamentals of linear algebra: vector spaces, subspaces, linear maps, eigenvalues and eigenvectors.
  • Identify and develop solutions to applied problems using linear algebra and other mathematical methods.
  • Formulate simple mathematical proofs at intermediate level for the core results of linear algebra.
  • Synthesise the classification of differential equations and the structural properties of their solutions such as critical points.
  • Analyse theoretical concepts of linear algebra and other mathematical methods commonly used to solve differential equations.
  • Apply a variety of communication skills to present independent workings of mathematical arguments in a clear and precise way.

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 $592.00 $592.00 not applicable $2,919.00
  • 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

(KMA152 - Mathematics 1A OR JEE103 - Mathematics I) AND (KMA154 - Mathematics 1B OR JEE104 - Mathematics II)

Teaching

Teaching Pattern

3 x 1hr Lectures weekly, 1 x 2-hr Tutorial weekly; 60 hours total over 12-week semester. 

AssessmentQuiz #1 (15%)|Quiz #2 (15%)|Assignments (weekly) (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.