<p>“No, I was talking about universities. Do most universities not have a proof based introduction to calculus series?”</p>
<p>Most Calculus classes aren’t proof based. Of course if the professor is good at teaching the subject they will often show the proof. However, I didn’t have any real proof questions on any of my calculus classes, with the minor exception of a “prove XXX does or does not equal YYY”, which really isn’t a proof, in the formal sense.</p>
<p>I’ve had some other math classes that were heavily proof based (Discrete Structures, Probability Theory).</p>
<p>I think the proofs really kick in with Advanced Calculus/Real Analysis, which is the next level beyond Calc 1 to 3 (single to multivariate calculus).</p>