<p>Computational calculus (the normal approach) and proof-based calculus (the honors approach, more useful for pure math majors) are really two very different beasts. Both have great value, but one is not necessarily a substitute for the other. </p>
<p>I know someone that has taken an incredible theoretical honors calculus class in college and she aced BC Calculus and MVCalc, both computational, while in high school. However, she feels she has forgotten the computational calculus and feels at a quite a disadvantage in classes that need them. She can wiz through proofs though. </p>
<p>My sense that if you’re an engineer, you are better off doing the computational version. If you really want a flavor of pure math, take an abstract linear algebra class or take analysis when you are much later in your program.</p>