MATH3023 Advanced Mathematics Applications

Credit
6 points
Offering
(see Timetable)
AvailabilityLocationMode
Semester 2UWA (Perth)Face to face
Details for undergraduate courses
  • Level 3 core unit in the Electrical specialisation in the Engineering Science major sequence
  • Level 3 core unit in the Environmental specialisation in the Engineering Science major sequence
  • Level 3 core unit in the Mechanical specialisation in the Engineering Science major sequence
  • The area of knowledge for this unit is Mathematical and Physical Sciences
  • Category A broadening unit for Bachelor of Science students where relevant according to the broadening requirements for each student
  • Level 3 elective
Content
This unit follows on from MATH1011 Multivariable Calculus and MATH1012 Mathematical Theory and Methods. It provides a foundation in some of the more advanced concepts and techniques of mathematics which are required in engineering. theory and applications are illustrated using examples from engineering in, for example, electromagnetism and fluid mechanics.
Outcomes
Students are able to (1) understand and employ the fundamental theorems of multivariable calculus; (2) understand and apply vector fields, Green's theorem, Stokes' theorem, the divergence theorem and Maxwell's equations; (3) understand and employ integral transforms, particularly Fourier transforms; (4) use the method of separation of variables and Fourier series to solve partial differential equations; (5) understand and apply operators to tensors and complex vector spaces; and (6) understand and apply operators to normed spaces, infinite dimensional vector spaces and Hilbert spaces.
Assessment
Indicative assessments in this unit are as follows: (1) tests and (2) 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 Miccal Matthews
Unit rules
Prerequisites:
MATH1011 Multivariable Calculus (ID 6012)
Co-requisites:
MATH1012 Mathematical Theory and Methods or equivalent
Incompatibility:
MATH2501 Mathematical Methods 3 and GENG4407 Advanced Engineering Mathematics (ID 2640)
Contact hours
lectures: 3 hours per week; practical classes: 2 hours 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. Reading lists and essential textbooks are subject to change each semester. 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. Copies of textbooks and other readings will be made available for students to access from the Library, online wherever possible as well as in print.
  • If this unit is offered as on-campus face-to-face study only, 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.