I'm a physics major but my uni makes us take calculus with the mathematicians so it turns out to be very proof heavy and by the time you realize it turns out it's just like real analysis with all the episilon-delta proofs and checking if a sequence is cauchy or if an arbitrary f(x) is Riemann integrable.

Im starting multivariable calc this semester and I would very much appreciate some tips. Should I review some theorems and proofs from real analysis?