Hello, I am a senior in high school wondering if I should major in mathematics. I am developing a strong interest in the subject and am currently enjoying and doing well in my AB AP Calculus course. The problem, however, is that I have read in many places (such as on these fantastic forums) that university mathematics is much different than what is taught in k-12. I hear that it is much more proof based and that these proofs are pretty much the major focus of undergraduate mathematics. My question is, may anyone provide an example of a typical proof question or problem that they would encounter in their studies? Any helpful and related responses would be greatly appreciated!