[lumost]

Calculus 1 is an interesting subject as there certainly is a degree of memorization required (you can't re-derive the derivative of x^n every time it comes up in your career). There is a similar to intro to Organic Chemistry, Algorithms and DataStructures, intro to programming etc. But the goal is to build detailed understanding of these methods more so than memorization.

On the other hand we live in a world where access to derivative rules is trivial. I'd imagine in 1800 mathematicians would assume that you would need to have multiplication tables to be productive and not reduced to pen and paper their entire career.

I wonder if there is an opportunity to push more challenging material into the earlier classes and make them more project like.