There are now 3 possible online modes for units:
Units with modes Online timetabled and Online flexible are available for any student to self-enrol and study online.
Units available in Online Restricted mode have been adapted for online study only for those students who require the unit to complete their studies and who are unable to attend campus owing to exceptional circumstances beyond their control. To be enrolled in a unit in Online Restricted mode, students should contact their Student Advising Office through askUWA
Click on an offering mode for more details.
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
Availability Location Mode First year of offer Not available in 2023 UWA (Perth) Face to face
- Details for undergraduate courses
- Level 2 elective
Students are able to (1) master the abstract notions of set theory and be able to express difficult mathematical concepts in the language of sets, relations, and functions; (2) formulate rigorous proofs using abstract number systems, and to construct and analyse associated algebraic objects; (3) employ the axiomatic definition of an abstract vector space, of linear transformations and of linear independence, and to reframe these notions when applying them to other situations in mathematics (e.g., to geometry or calculus); (4) master the relationship between a spectral decomposition of a vector space and the diagonalisation of certain linear transformations, and to understand their application within mathematics; and (5) communicate technical ideas succinctly, effectively, and accurately.
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
- Contact hours
- Lectures: 4 x 1 hour a week
Workshops: 2 x 1 hour 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.
Face to face
Predominantly face-to-face. On campus attendance required to complete this unit. May have accompanying resources online.
100% Online Unit. NO campus face-to-face attendance is required to complete this unit. All study requirements are online only. Unit is asynchronous delivery, with NO requirement for students to participate online at specific times.
100% Online Unit. NO campus face-to-face attendance is required to complete this unit. All study requirements are online only. Unit includes some synchronous components, with a requirement for students to participate online at specific times.
Not available for self-enrolment. Students access this mode by contacting their student office through AskUWA. 100% Online Unit.
NO campus face-to-face attendance. All study and assessment requirements are online only. Unit includes some timetabled activities, with a requirement for students to participate online at specific times. In exceptional cases (noted in the Handbook) students may be required to participate in face-to-face laboratory classes when a return to UWA’s Crawley campus becomes possible in order to be awarded a final grade.
No attendance or regular contact is required, and all study requirements are completed either via correspondence and/or online submission.
Regular attendance is not required, but student attends the institution face to face on an agreed schedule for purposes of supervision and/or instruction.
Multiple modes of delivery. Unit includes a mix of online and on-campus study requirements. On campus attendance for some activities is required to complete this unit.