Right, math is cumulative more so than a lot of other disciplines. For example I never took a religion, philosophy, psychology, or history course in high school, but I got good grades in all of those courses in high school. That isn't rare or special. Taking calculus in high school having never taken a math course in high school would have been incredibly difficult.
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Nothing is wrong with it, I'm more or less the same way. But for most of the people I've seen, proof based classes are more difficult.
No. Not hard. It's hard if you suck at algebra or somehow find yourself allergic to homework. The hardest parts of calculus are the algebra.
I had very poor teachers in high school, I definitely felt behind having to teach myself a lot of stuff going into college.
I really think the fact that you hear "calc/Ochem/Pchem/(whatever challenging course here) is just SOOO hard" constantly is what trips more people up than anything else. People go into a lot of these courses thinking they'll never understand, so they don't try, they fail, and then they perpetuate that line of thinking.
That's what I found, as well, the algebra is harder for me than the calculus. That just takes practice and refining your skills in algebra.
>The hardest parts of calculus are the algebra.
This depends. Some people are more naturally good at the geometry aspects, other people like manipulating formulas more.
this
>physics students complaining about having to do proofs only once they've reached graduate school
good lord if you haven't been taught mathematics rigorously you haven't been taught mathematics at all, it's all just accounting and mindless calculations
t. math and physics dual major, I know exactly what the physics "math methods" courses were like (a joke)
to op: no it's not as long as you use your fucking brain, paid attention in algebra, and can remember some pointless identities. teachers hype it up as the hardest math because they're pretty much clueless about what math is to begin with, it's a cruel joke that k-12 education puts you through
That's because everything in analysis is justified. In calculus, the arguments are all made willy nilly and where the theorems are thrown at you and all you do is solve problems.
Calc is the 'hardest' math as it involves all concepts learned before it. The concepts of calculus aren't difficult, but they involve most of what you learned the years before.