Preparing for Upper Division Math: Tips and Suggestions?

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The discussion centers on preparing for upper division math courses, specifically linear algebra and probability. The individual plans to self-study probability due to a lack of prior exposure and is considering self-studying real analysis to enhance proof-writing skills and abstract thinking. There is a strong emphasis on the importance of practicing proofs, with multiple participants highlighting that mastering proofs is crucial for success in advanced mathematics. The consensus suggests that engaging deeply with proof techniques will better prepare for the upcoming coursework and prevent redundancy in learning.
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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?
 
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Practice doing proofs. Proofs, proofs and lots of proofs. And then do a few more proofs.
 

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