Studying online

There are now 2 possible online modes for units:

Units with modes Online timetabled and Online flexible are available for any student to self-enrol and study online.

Click on an offering mode for more details.

Unit Overview


This unit provides students with a foundation in algebra, including the notions of equivalence relations, isomorphism theorems, modular arithmetic, vector spaces, linear maps, inner products and spectral theorem. It covers the definitions, theorems and proofs that are critical to algebra, geometry and mathematical physics.

6 points
(see Timetable)
Semester 2UWA (Perth)Face to face
Details for undergraduate courses
  • Level 1 core unit in the Mathematics major sequence
  • Level 1 option in the Mathematics major sequence
  • Level 1 elective

Students are able to (1) explain and exploit the notions of sets, functions, relations, and cardinality; (2) formulate rigorous proofs using abstract number systems and associated algebraic objects; (3) employ the axiomatic definition of an abstract vector space, of linear transformations and of linear independence; (4) explain and apply the relationship between a spectral decomposition of a vector space and the diagonalisation of certain linear transformations; and (5) communicate technical ideas succinctly and effectively.


Indicative assessments in this unit are as follows: (1) tests and (2) exam. Further information is available in the unit outline.

Student may be offered supplementary assessment in this unit if they meet the eligibility criteria.

Unit Coordinator(s)
Associate Professor John Bamberg
Unit rules
ATAR Subject(s) Mathematics Specialist ATAR
or Unit(s) MATH1722 Mathematics Foundations: Specialist or equivalent
Contact hours
Lectures: 4x45 minute a week
Practical classes: 2x45 minute a week

Axler, Linear Algebra done right, 2015


  • The availability of units in Semester 1, 2, etc. was correct at the time of publication but may be subject to change.
  • All students are responsible for identifying when they need assistance to improve their academic learning, research, English language and numeracy skills; seeking out the services and resources available to help them; and applying what they learn. Students are encouraged to register for free online support through GETSmart; to help themselves to the extensive range of resources on UWA's STUDYSmarter website; and to participate in WRITESmart and (ma+hs)Smart drop-ins and workshops.
  • Unit readings, including any essential textbooks, are listed in the unit outline for each unit, one week prior the commencement of study. The unit outline will be available via the LMS and the UWA Handbook one week prior the commencement of study. Reading lists and essential textbooks are subject to change each semester. Information on essential textbooks will also be made available on the Essential Textbooks. This website is updated regularly in the lead up to semester so content may change. It is recommended that students purchase essential textbooks for convenience due to the frequency with which they will be required during the unit. A limited number of textbooks will be made available from the Library in print and will also be made available online wherever possible. Essential textbooks can be purchased from the commercial vendors to secure the best deal. The Student Guild can provide assistance on where to purchase books if required. Books can be purchased second hand at the Guild Secondhand bookshop (second floor, Guild Village), which is located on campus.
  • Contact hours provide an indication of the type and extent of in-class activities this unit may contain. The total amount of student work (including contact hours, assessment time, and self-study) will approximate 150 hours per 6 credit points.