Your 30 years of experience is why the article makes so much sense. If you saw this in college you wouldn't have also learned everything else about div and grad.
> these concepts are learned as succinctly
?
Succinctness is *why" you didn't learn multiple interpretations of everything.
> ? Succinctness is *why" you didn't learn multiple interpretations of everything.
Good catch. I think that was the wrong word because I was learning s-transforms in three classes sophomore year: differential calculus, linear systems, and thermodynamics. It was the opposite of succinct because the same concept was being thrown at me in three different classes from three different perspectives.
to throw one other, maybe-less-obvious, spin on it:
When you take a class, you see one wrong way to do things. When you teach a class, you see fifty wrong ways to do things.
Puzzling through all the different wrongs ways to think about a problem really helps cement the core ideas... And first-year calc students are masters of creating interesting-but-wrong interpretations.
> these concepts are learned as succinctly
? Succinctness is *why" you didn't learn multiple interpretations of everything.