Preparing for Upper Division Math: Tips and Suggestions?

[torquerotates]

Next year I'm going to be taking some upper div math classes( linear algebra, probability). I'm going to be self studying for probability because I've never seen any of it before. But the real problem is that I've never done lots of proofs before. Right now I'm thinking about self-studying real analysis to build my abstraction abilities. The reason being I don't want to be bored out of my mind seeing the same material again during fall( I'm already doing the same for probability, wouldn't want to do the same for linear since I already took an lower div intro to LA. So selfstudying LA would make taking it in the fall, somewhat my third time) What do you guys think? Any other suggestions?

 

[tmc]

Practice doing proofs. Proofs, proofs and lots of proofs. And then do a few more proofs.