When you've complete the math degree, did you feel like you got your education's worth and money's worth? I have a few goals in mind that i would like to complete in math: Start from axioms and build up geometry Construct the real numbers know what's happening in calculus in a deeper understanding do every question in Spivak's Calculus Pass real analysis take a topology course So for the first 4, did you feel like you could do those skills after you finished your degree? Those are my only goals in mathematics to be quite honest. I'm currently in 2nd year and still have no idea how to do most questions in Spivak's calculus. What were you guys able to do at the end of your degree?