Key facts

UNE unit code: PMTH213

*You are viewing the 2027 version of this unit which may be subject to change in future.

Start
  • Trimester 2 - On Campus
  • Trimester 2 - Online
Campus
  • Armidale Campus
24/7 online support
  • Yes
Intensive schools
  • No
Supervised exam
  • Yes
Credit points
  • 6

Unit information

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With applications ranging from electrical circuitry and computer programming to cryptography, traffic flow and economics, linear algebra studies linear transformations between vector spaces.

This unit offers you an introduction to linear algebra using familiar examples, and explores earlier results, like the Fundamental Theorem of Calculus, in a new light.

Building on your understanding of algebra, differential equations and multivariable calculus, you will explore systems of linear equations, matrices and algebraic operations on them, and inner products.

Linear algebra is a basic tool for the study of pure and applied mathematics and its applications in various applied sciences. With a solid foundation in the core principles of the discipline, you will be well-equipped for further study of algebra, functional analysis, classical and quantum mechanics, differential geometry and statistics.

Offerings

For further information about UNE's teaching periods, please go to Principal Dates.

Teaching period
Mode/location
Trimester 2On Campus, Armidale Campus
Trimester 2Online

*Offering is subject to availability

Intensive schools

There are no intensive schools required for this unit.

Enrolment rules

Pre-requisites
[MATH101 or MTHS120] and [MATH102 or MTHS130] or candidature in a postgraduate award
Restrictions
PMTH213A or PMTH413
Combined units

Notes

Please refer to the student handbook for current details on this unit.

Unit coordinator(s)

profile photo of Masoud Ganji
Masoud GanjiLecturer - Faculty of Science, Agriculture, Business and Law; School of Science and Technology

Learning outcomes

Upon completion of this unit, students will be able to:

  1. unify material learnt in earlier units, specifically algebra, differential equations and multivariate calculus;
  2. develop both theoretical understanding and computational methods;
  3. prepare themselves for later studies in algebra, statistics, functional analysis, complex variables, differential geometry, signal processing, harmonic analysis, physics; and
  4. illustrate, demonstrate and teach modern mathematics.

Learning resources

Textbooks are subject to change up to 8 weeks prior to the start of the teaching period in which you are undertaking the unit.

Note: Recommended material may be held in the University Library — purchase is optional.

Elementary Linear Algebra: Applications Version

ISBN: 9781119666066

Anton, H. and Rorres, C., John Wiley 12th ed. 2020

Note: An e-book (ISBN: 9781119670858) is also available for this text

Text refers to: All offerings

Note: Referenced material may be held in the University Library — purchase is optional.

Linear Algebra Done Right: Undergraduate Texts in Mathematics

ISBN: 9783319307657

Axler, S., Springer 3rd ed. 2016

Text refers to: All offerings

A Course in Algebra

ISBN: 9780821834138

Vinberg, E.B., American Mathematical Society 1st ed. 2003

Text refers to: All offerings

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Studying online

At UNE we know it takes more than just being online to be a great online university. It takes time and experience. We pioneered distance education for working adults back in the 1950s, so we’ve been doing this longer than any other Australian university.

We understand the challenges faced by busy adults studying at home. We know that a vital part of online study is your engagement with the learning community. Communication with your classmates, teaching staff and university support staff will enhance your study experience and ensure that your skills extend beyond the subject matter. UNE’s teaching staff are experts in their field which is why UNE consistently receives five stars from students for teaching quality, support and overall experience.*

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