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Also, does one need analysis for mathematical probability? It's not explicitly listed as an option but I've glanced at the book and it appears to at least touch on measure spaces, which makes me think I'd be at a disadvantage for lacking analysis. Interestingly enough, even our class which teaches proof is not required for it either.

I ask on both of these because I don't think our prerequisites are properly lined out. I had to do a lot of extra work in ODE to make up for my lack of linear algebra. Thanks!