MATH1012 Mathematical Theory and Methods

Credit
6 points
Offering
(see Timetable)
AvailabilityLocationMode
Semester 1UWA (Perth)Face to face
Semester 2UWA (Perth)Face to face
Summer teaching periodUWA (Perth)Face to face
Details for undergraduate courses
  • Level 1 core unit in the Engineering Science; Mathematics and Statistics major sequences
  • Level 1 complementary unit in the Physics major sequence
  • Category A broadening unit for Bachelor of Science students where relevant according to the broadening requirements for each student
  • Level 1 additional unit in the Physics second major sequence
  • Level 1 elective
Content
This unit provides students with a foundation in linear algebra, sequences and series, Fourier 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 Fourier series and Laplace transforms; and (6) explain and apply the basics of probability theory.
Assessment
Typically this unit is assessed in the following ways: (1) quizzes; (2) computer-based assessment; and (3) mid-semester test and 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)
Professor Gordon Royle and Dr Des Hill (Summer)
Unit rules
Prerequisites:
Mathematics Specialist ATAR
or
WACE Mathematics: Specialist 3C/3D
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; tutorials: 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.
  • Books and other material wherever listed may be subject to change. Book lists relating to 'Preliminary reading', 'Recommended reading' and 'Textbooks' are, in most cases, available at the University Co-operative Bookshop (from early January) and appropriate administrative offices for students to consult. Where texts are listed in the unit description above, an asterisk (*) indicates that the book is available in paperback.