April 3rd, 2020 at 6:43 PM
I did quite a bit of it, both in my last years of school and at university.
High-school calculus consisted of the basics, followed by things like the chain and product rules, and then lots of integration rules
. Stuff like integration by substitution, integration by parts, and recognising which situations called for which rules .
University calculus was another step up from this . Things like multi-variable calculus; partial derivatives; and line/path/surface integrals. Then we had real and complex analysis - which provided rigorous mathematical definitions of 'derivatives' and 'integrals', among other things.
I can remember most of the high school stuff, but I've forgotten some of the crazier university stuff!
High-school calculus consisted of the basics, followed by things like the chain and product rules, and then lots of integration rules
. Stuff like integration by substitution, integration by parts, and recognising which situations called for which rules . University calculus was another step up from this
. Things like multi-variable calculus; partial derivatives; and line/path/surface integrals. Then we had real and complex analysis - which provided rigorous mathematical definitions of 'derivatives' and 'integrals', among other things. I can remember most of the high school stuff, but I've forgotten some of the crazier university stuff!
