Is calculus I taught in high school or at university in the US?

High-school math can go up to multivariable and LA

>>8816780
In my high school it was optional to either stop at basic algebra or go up to integral calculus of one variable

>>8816780
I know Texas will be teaching calculus in highschool pretty soon. Not sure about the other degenerates, though. They also won't be offering remedial maths to save money.

Both, but high school normally teaches you how to do it, while university teaches you why it works and how to prove it.

My high school let you take video lectures on vector calculus if your math ability was too far ahead of the average high school class.

>>8816780
Yes.

High school through AP or IB

>>8816780
Highschool

>>8816780
High school, but of course it's meme engineer calculus. Doesn't get rigorous until college.

I HS I "saw" both calc 1 and 2. However, my calculus courses in college are much more rigorous and complicated. Tbh, I had to relearn it.

>>8816780
It depends on the school and the level of intelligence of the student. My school allowed me to take Calc 1 and 2 in high school, but in theory you could still graduate having taken nothing higher than precal.

Most commonly I think high schools offer calulus 1&2. At my school there was AP calc, and there was an AP exam they had to take at the end. I never heard of anyone taking beyond that in high school though

>>8816780
Your image is not seen anywhere before university.

>>8817310
Yes it is. That's one of the first things you learn about integrals. If you didn't, thn I'm sorry you had a bad teacher

>>8816780
>>8817333
the pics wrong though.

>>8817372
Why?

>>8816780

Calculus I and II (AP Calc AB/BC) are taught in highschool, but they are not required to graduate, so some people stop before that.

>>8817381
>>8817381
you cant just take the sum over some delta x it fails for some functions, you need to define a partition
[eqn]a=x_{0}<x_{1}<x_{2}<\dots <x_{n}=b[/eqn]
then take the upper and lower sum for a partition
[eqn]L(f,P)=\sum _{i=0}^{n-1}\inf _{t\in [x_{i},x_{i+1}]}f(t)(x_{i+1}-x_{i})[/eqn]
[eqn]U(f,P)=\sum _{i=0}^{n-1}\sup _{t\in [x_{i},x_{i+1}]}f(t)(x_{i+1}-x_{i}) [/eqn]
Make the partition more fine grianed:
[eqn] U(f) = \lim_{n \to \infty} U(f,P) [/eqn]
[eqn] L(f) = \lim_{n \to \infty} L(f,P) [/eqn]
and if they are the same, thats the integral.

>>8817404
I fucked up the notation, but you get the idea.

>>8817404
That's called darboux sums which is an equivalent definition of Riemann sums which is what's exposed on the OP.

>>8816780
In Canada it is taught in HS to smart kids.

America has too many niggers and spics to bother teaching it. Those subhuman animals can't hack basic algebra.

>>8817410
a Riemann sum doesnt have n go to infinity, if you mean Riemann integral its not that either, for that you still need to take a limit over all partitions.

I go to a private school where they teach a proof-based multivariable course. If there are students who take that junior year they either self-study, or, if there are enough students, there's a dif eqns and linear alg course

public high school that is decently funded : up to CALC BC

shitty tier HS near nigger-cities: up to pre calc

File: ldC94BvZwmiIw.gif (459KB, 384x288px) Image search: [Google]

459KB, 384x288px

>tfw living in a latin american shithole
>passed all precalc only because I went to a privileged public school
>the average HS graduate here barely knows fractions
>currently taking Calc 2 at Uni and everyone acts like it's some impossible shit

Yes, it's plug and play

>>8817425
Not over all particions but over the norm of the particions. Its abuse of notation, but the idea is clear, and for many canonical particions its suficient just taking n tend to infinity.

>>8817414
what Provence you in? in Ontario some high schools do basic integrals and others do vectors and linear systems with matrices. but the usual is no more than basic differentiation.

>>8817414
Fuck you.