<p>The closest pure math course I took was Linear algebra(second half). There was very little computational questions, the majority of test questions were proofs. Show X is really Y, type of deals. My brain didn’t do very well in that class. While I do care about relationships, I didn’t care for the restriction of proofs. In many lower divsional proofs, there is generally one way of proving something (Although in upper div, ten people could potentially solve the same proof in 10 unique ways). In physics, students were encouraged to find the answer, in their own way. True some methods were longer other, but displacement is the same. Anyway, which class did you enjoy more? Maybe thats an indicator</p>
<p>Also your major is a vehicle to your career goals. If you want to make money w.o doing a lot of schooling after BS, Engineering is a way to go. So is Actuarial science. And both have a lot of money generating potential. If you want to get your MS, Math isn’t a waste. You can find good jobs in the math fields, if you know where to look.</p>
<p>As for the terrible mistake feeling, its obvious you are indecisive, and you have no passion either way. The community can not help you with that. You need to buckle down and convince yourself which is the right decision. If you can’t do that, that feeling will follow you, regardless which path you take. </p>