So here I'll post some guides on some topics that are above VCE level for those keen students, however you can grasp these concepts to a sufficient degree with VCE knowledge. However some topics actually aren't necessarily "harder" than your VCE maths, rather they emphasize rigour and solid proofs.
To get started, here's a nice guide on epsilon-delta proofs. Used quite a lot in real analysis.
Before you get into it, here's a bit of background on what these are.
I'm sure most of you guys have done differentiation by first principles, you know, where you limit the h to 0 and etc. Yes, that stuff. Now remember the last step? Where you guys just thought "hmm
just means I can sub h = 0 in, after canceling out the h's" Well a really basic way of extending that limit stuff to a more rigorous approach is using epsilon delta proofs. What you will find is that you are actually not "substituting h = 0 everytime you see h", rather you are using a very intuitive approach
formalised by using an epsilon-delta proof.
Now go read.
Also I attached them as pics because VN won't let me attach as a rar file o.O
Vic Mod edit: re-added attachments