I’m a first year at UC Davis and I want to transfer to Berkeley or LA as a math major. I am currently a EE major, and I don’t want to switch to math here at davis because the program isn’t too good. I’m really interested in maths and like reading mathematical fiction, so I really believe that I would enjoy being a math major – I thoroughly enjoy my math courses and do very well in them.
My question is I can’t really do any sort of mathematical research now because I’m only a freshman and it is beyond my current capabilities. What should I do right now to help my admissions into those schools?