<p>As whenwhen said, I think you’re seriously overestimating the level of math people are coming into college with. Most high schools don’t even offer such courses. My high school only went up to Calculus, and didn’t really go beyond the rough equivalent of Calc II. Bear in mind also that high school calculus is frequently a dumbed down version of Calculus that doesn’t even really prepare students for college level math.</p>
<p>Rigorous proof based courses? Not at the high school I went to. I never even took Calculus in high school, and I’m now a physics/math double major.</p>