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
Specific information on 2027 unit availability will be available in August
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
2027 fee information will be available in August.
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. |
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| Assessment | Quiz #1 (15%)|Quiz #2 (15%)|Assignments (weekly) (30%)|Examination (40%) |
| Timetable | View 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. |
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The University reserves the right to amend or remove courses and unit availabilities, as appropriate.