MATH2501 Advanced Mathematical Methods

Credit
6 points
Offering
(see Timetable)
AvailabilityLocationMode
Semester 1UWA (Perth)Online-TT
Details for undergraduate courses
  • The area of knowledge for this unit is Mathematical and Physical Sciences
Content
This unit follows on from MATH1001 Mathematical Methods 1 and MATH1002 Mathematical Methods 2. It provides a foundation in some of the more advanced concepts and techniques of mathematics which are required in a number of disciplines, particularly Physics.
Outcomes
Students are able to (1) understand and employ the fundamental theorems of
multivariable calculus; (2) use the method of separation of variables to solve partial differential equations; (3) understand complex vector spaces, inner product spaces and normed spaces; (4) understand infinite dimensional vector spaces, particularly Hilbert spaces; (5) understand linear operators, in particular Hermitian operators; and (6) understand and identify eigenfunctions of Sturm–Liouville problems.
Assessment
Indicative assessments in this unit are as follows: (1) tests and (2) a final examinationi. 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 Des Hill
Unit rules
Prerequisites:
MATH1011 Multivariable Calculus
Co-requisites:
MATH1012 Mathematical Theory and Methods
Incompatibility:
MATH3023 Advanced Mathematics Applications and GENG4407 Advanced Engineering Mathematics
Contact hours
lectures: 2 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.