>take calculus iii >three weeks into it >suddenly professor

>>8974056
But anon, what is there not to understand? It's just open sets.

>>8974056
The topology you will be seeing will be very basic. Don't worry. In fact, you won't even get past metric spaces.

Just took a calculus iii test today, in fact. Everything from partial derivatives through Lagrange multipliers, and everything on sequences and series up to power sets.
God DAMN it was brutal.

>>8974084
For real and complex analysis, getting even past normed vector spaces is useless.

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>>8974103
>We apparently do american Calc one, two and three in one semester here in germany
>The city of clappistani universities

>>8974103
that's second semester calculus here

>>8974144
sounds like your courses have zero rigor if they're that condensed

can't say I'm surprised when looking at german uni rankings and research expenditures

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>>8974164
but calculus was invented by a German?

>>8974056
Most of common topology is simply Calc 3, my friend

>>8974166
And that has to do with?...

If you are covering that much material in one semester, it is terribly superficial.

>>8974169
euroshits btfo

>>8974144
>go barely into depth about something
>"Oh, I learned that all in one sitting, stupid brainlets"
I hear you dude, I just learned German myself. Hallo, mein Freund!

>>8974164
>german uni rankings
Uni rankings mean jack shit. American universities:
https://www.youtube.com/watch?v=fmO-ziHU_D8

And that guy was right, germans and europeans in general came up with all the math you study, basically. Americans have done fuck all by comparison.

>>8974206
>this objective ranking means nothing; listen to my anecdotal evidence!
K.

>>8974144
All of that math and you still can't win a war.

top tier thread derailing strat
thought it only worked on /ck/

>>8974056
Eh, it's important and it is pretty simple. In Calc 1 and 2 you get a pass because students already "know" what open intervals and closed intervals are. And for the purposes of those calcs, those are the only sets you need to know.

In Calc 3 it is a bit difference. While you will certainly have things similar to closed/open intervals (like closed/open rectangles), you will encounter other types of closed and open sets in calc 3. Ones that are a bit more complicated but again, you won't actually go on to study all the kinds of closed and open sets. Just the simple kinds that help you categorize paths and surfaces when you encounter them in the wild.

After that, the only thing you need to know is what compact sets are. Compact sets are really important for when you want to study maxima and minima and then they will be important again when it comes to defining integrals in higher dimensions. Just go with the flow. All you really need to know is what are closed sets, open sets, bounded sets and compact sets. You will encounter all their flavors in the wild and you need to know what theorems apply to them.

>>8974327
>>8974056

Oh, how could I forget. Differentiability. You need a little bit of topology to define differentiability in higher dimensions too.

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>>8974296

>>8974056
topology is the study of spaces, so you'd be surprised to learn that you've been studying T1,T2 spaces in algebra and calculus pretty much your whole life up until this point.

Didn't anyone ever tell you that every functionally defined set that admits a Reimann integral is a vector space with a finite topology and countable properties?

>>8974206
one day you'll have a top 30, maybe even a top 10, achmed

one day one of your unis will pump out as much research as Berkeley, a fucking PUBLIC UNI

>>8974144
of course, because you are retards
might as well squeeze 3 years worth of math into one semester, otherwise your kraut brains will explode

>>8974197
Germanshits BTFO*
FTFY
Other unis are reasonable

>>8974056
Once you realise that topology is the foundation of all calculus, you will be able to pass easily.

>>8974207
>objective
You're retarded beyond help...
Just look for ENS at that shitty ranking and come back

>>8976157
>...
You were already losing that argument, Ahmed. Recovery is beyond hope if you're a dumb sand nigger who types like that.

>tfw getting my ass kicked by trig

I might as well drop out now

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>This thread

Am I the only one for whom CalcIII is Vector fields, Green, Stokes and shiet? I had Power series and partial devs in CalcII

>>8974103
That's Calc II.

>>8976234
This. Ofc you get taught simple notions like open set, closure, boundary, limit point, etc., but that's about it.

>>8974206
WE WUZ MATHEMATICIANS AND SHEEIT

in my calc iii class we had to find the slope of a tangent line. that shit was insane.

>>8976234
take a wild guess and say ur an electrical enginnerrrrrrr

Topology is the study of topo, like sociology is the study of socialism

>>8974400
Any of the main european mathemathicians has produced more valuable work than all the "research" of all american universities combined. Newton, Euler, Gauss, Archimedes... America is literally nothing when it comes to science, especially mathematics.

But keep jerking off thinking about all those nonsensical uni rankings, Tyrone.

Couple weeks into calculus 1 now, doing well, already past the chain rule and beyond. Quotient rule was a joke. Product rule remains my specialty.
I ask my professor his thoughts on quantum mechanics and partial derivatives. He's impressed i know about the subject. We converse after class for some time, sharing mathematical insights; i can keep up. He tells me of great things ahead like series and laplacians. I tell him i already read about series on wikipedia. He is yet again impressed at my enthusiasm. What a joy it is to have your professor visibly brighten when he learns of your talents.
And now I sit here wondering what it must be like to be a brainlet, unable to engage your professor as an intellectual peer.
All of the deep conversations you people must miss out on because you aren't able to overcome the intellectual IQ barrier that stands in the way of your academic success... it's so sad.
My professor and I know each other on first name basis now, but i call him Dr. out of respect.
And yet here you brainlets sit, probably havent even made eye contact with yours out of fear that they will gauge your brainlet IQ levels.
A true shame, but just know it is because i was born special that i am special. I can't help being a genius, nor can my professor.
Two of a kind is two flocks in a bush.

>>8976551
>sociology is the study of socialism

Made me ponder.

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>>8974164
>expecting rigor from a calculus course

>>8974164
Calc I and a good deal of Calc II are seen in HS here.

>>8974056
it's just calculus in multiple dimensions, anon...

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>>8976770
Holy shit it's been a while without this pasta

>>8976234
same here

>>8976680
We made the transistor tho

>>8974082
*clopen

>>8975743
Calc 1 is done high school in Germany

Your calc 2 is our calc 1

Calc 2 in Germany is topology, metric spaces, IR^n stuff (and even this depends on the university, many already do this stuff in calc 1)

Calc 3 depends really in the university. Some do complex analysis, most do measure theory and Lebesque integral stuff

>>8976770
What to do if this pasta destroys your day

>Just gauge it away

>>8976234
That is how the engineering calc sequence is where I study. It was a little less rigorous but a lot more accelerated than the standard calc II course.

>>8977923
Is that like clop-clop?

>>8977923
>clopen
the single stupidest most disgusting mathematical term ever thought of

>>8976770
> Product rule remains my specialty.

That made me smile.

Even if it's pasta, I still appreciated that one sentence.