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.
|Unit name||Linear Algebra and Differential Equations|
|College/School||College of Sciences and Engineering
School of Natural Sciences
|Coordinator||Associate Professor Jeremy Sumner|
|Available as an elective?||Yes|
|Delivered By||University of Tasmania|
|Location||Study period||Attendance options||Available to|
- International students
- Domestic students
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|Study Period||Start date||Census date||WW date||End date|
* 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).
- 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, such as Laplace transforms.
- Apply logic, reasoning and a variety of communication skills to present mathematical arguments in a clear and precise way.
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Prerequisites(KMA152 - Mathematics 1A OR JEE103 - Mathematics I) AND (KMA154 - Mathematics 1B OR JEE104 - Mathematics II)
3 x 1-hr workshops, 1 x 1-hr tutorial weekly
|Assessment||Quiz #1 (15%)|Quiz #2 (15%)|Assignments (weekly) (30%)|Examination (40%)|
|Timetable||View the lecture timetable | View the full unit timetable|
Required readings will be listed in the unit outline prior to the start of classes.
|Links||Booktopia textbook finder|
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