A number of the mathematics related majors (e.g. pure mathematics, physics) and many in a Bachelor of Commerce (e.g. actuarial science, economics, etc.) in the BSc are likely to require methods level maths at some stage. However, if you would like to do a major that does involve methods level maths, you could always take the equivalent version at uni (MTH1010 @ Monash iirc).
In the uni's handbook, (Monash's can be found at
http://handbook.monash.edu.au), it states what prerequisite units (subjects) needed to take a unit and the units needed to complete a major, and each one of
those units may have prerequisites. It might be helpful to work backwards and investigate what majors you might be interested in (no need to decide now!), find their handbook entries and see if their units need methods. For instance, the second year, semester 1 unit of the
Developmental Biology major, requires one of the first year bio units in the BSc and those bio units do not need methods.
I'm in a bit of a rush right now, so apologies if any of this is unclear. Let us know if you need clarification on anything
