MATH1012 Mathematical Theory and Methods

Credit
6 points
Offering
(see Timetable)

If this unit does not have an online alternative, then students who are presently unable to enter Western Australia and whose studies would be delayed by an inability to complete this unit, should contact the unit coordinator (details given on this page) to ascertain, on an individual case-by-case basis, if alternate arrangements can be made to support their study in this unit.

AvailabilityLocationMode
Semester 1OnlineOnline timetabled 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.
Semester 1UWA (Perth)Multi-mode 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.
Semester 2UWA (Perth)Face to face Predominantly face-to-face. On campus attendance required to complete this unit. May have accompanying resources online.
Semester 2OnlineOnline timetabled 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.
Details for undergraduate courses
  • Level 1 core unit in the Engineering Science; Mathematics and Statistics; Physics; Automation and Robotics; Frontier Physics major sequences
  • Level 1 elective
Content
This unit provides students with a foundation in linear algebra, sequences and series, Laplace transforms, and statistics. It covers essential concepts and techniques required for science, engineering and higher mathematics.
Outcomes
Students are able to (1) solve problems using the basics of linear algebra, including the concepts of subspace, linear transformation and determinant; (2) determine eigenvalues and eigenvectors; (3) apply change of basis to vector spaces; (4) apply the basic theory of sequences and series; (5) employ Laplace transforms; and (6) explain and apply the basics of probability theory.
Assessment
Indicative assessments in this unit are as follows: (1) ongoing assessments (participation in practical classes and weekly computer assignments); (2) in-semester tests; and (3) a final examination. Further information is available in the unit outline.

Supplementary assessment is not available in this unit except in the case of a bachelor's pass degree student who has obtained a mark of 45 to 49 overall and is currently enrolled in this unit, and it is the only remaining unit that the student must pass in order to complete their course.
Unit Coordinator(s)
Dr Alice Devillers (Semester 1) and Professor Lyle Noakes (Semester 2)
Unit rules
Prerequisites:
Mathematics Specialist ATAR or MATH1722 Mathematics Foundations: Specialist or equivalent
Incompatibility:
MATH1001 Mathematical Methods 1 or MATH1002 Mathematical Methods 2 or MATH2040 Engineering Mathematics
Contact hours
lectures: 3 hours a week; practical classes: 2 hours per week; computer labs: 1 hour per week
  • 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.