What is it about calculus that just makes it feel so different from learning any other math? The fact that there's a Calc 1-3 shows how much importance it holds. There's a different feeling I get when I'm 19 and have mastered differential Caclulus. There's something different about being skilled at calculus in this day and age.
The feel
you haven't mastered calculus until you get your master's in differentiation of e^x
calculus sucks compared to diffyqs and linear algebra
Calculus is very rote, very applied, and resultantly quite mundane. There's really not much to it. It's pretty intuitive and shallow (as it is taught in schools), and that's why people enjoy learning it. It is something that is perceived by others to be a lot more difficult than it actually is, thus boosting confidence and self esteem.
this right here. it was literally invented for engineers.
DE is even more autistic than Calc 1-3.
Think of it this way. Every single subject of level of math up to and including math is the English equivalent of vocab and grammar. Not till advanced math do you start actually exploring things on the level of novels as you would in english.
>Every single subject of level of math up to and including math is the English equivalent of vocab and grammar.
Fuck me
Every single subject of math up to and including calculus is the English equivalent of vocab and grammar.
Calculus is the first time in a usual conventional mathematical education, indeed even in a self-directed mathematical education, where it happens that the student and doer of mathematics must, or should, be juggling more like 3-5 differerent considerations, concepts, computations all at once in any given moment, as opposed to the one or two which are involved with doing the babby math of before. Also getting to play with the fancy symbols which are used in cute clip art (OP's pic related) also helps.
I'm not involved in this budding spat, but let me suggest that the other user is onto something insofar as a calculus education actually entails the /narrative/ of a proof (which is usually significantly more complex than anything that the student has ever seen before, and is the first thing that they've ever seen that rises to the level of a proper mathematical argument), and that even such proof-narratives entail retaining 3-5 abstract pieces of information, all at once. This is the challenge, the learning curve from babby into intermediate mathematics, which is exactly what the transition from precalc into calculus represents. And yes, calculus is so "intermediate mathematics", as I have said. If a simple majority of the human population struggles with the concepts, then this is a fair starting point for us to differentiate, pun not intended, between the tiers.
Very well put, as hoped to describe it in these posts.