### MATH2501 Advanced Mathematical Methods

- Credit
- 6 points
- Offering

(see Timetable) Availability Location Mode Semester 2 UWA (Perth) Face to face - Details for undergraduate courses
- Level 2 complementary unit in the Physics 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 2 additional unit in the Physics second major sequence
- Level 2 elective

- 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 Sturmâ€“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
*and*

MATH1012 Mathematical Theory and Methods)*or*

MATH1002 Mathematical Methods 2*or*

(MATH2209 Calculus and Probability*and*

MATH2020 Multivariable Calculus and Linear Algebra)*or*

equivalent *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.**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.*