Just finished my calc3 final exam

This is probably a take home exam and he cheated his way though it

I took calc 3 from a community college over the summer because the course filled up at my real uni and it was a total joke. I don't thik I could have done any of the questions in your exam except #2, 3, 4 with only what the course covered

A take home calculus exam could easily be computed with WolframAlpha and/or Mathematica. Surely the teacher knows this and would never do something as stupid as giving a take-home calc exam.

Looks so much easier than the final I had last week for calc 3. I'm jelly

A lot of the stuff is mindless and trivial.

Same here, it was way too easy and I didn't learn shit. I have no idea what real cal III is now but at least I have a decent textbook for when I have to actually learn something later.

Half the people were still failing the class but half of the class was in civil engineering.

That's just filling in the numbers and doing the integral stuff, I wish my calc exam was this easy..

>Half the people were still failing the class but half of the class was in civil engineering.
kek

>guys look how hard my undergrad math exam was LOL

Jesus this is so much easier than mine was.

What the fuck was on your exam? How difficult does a calc 3 exam need to be in order to be Veeky Forums certified?
What multivar calc text could I use in order to be caught up with REAL calc 3.

Even wikiversity has proper calc 3 exams:

de.wikiversity.org/wiki/Kurs:Analysis_3/3/Klausur

>calc 3
>link clearly says "Analysis 3"
Calculus is foreign to someone studying math at a German university.

Too easy. If you couldn't answer those questions, you belong in

Analysis is the German equivalent of calculus you dumb fuck
Source: I'm German

But their calculus courses are less rigorous. Have you ever heard the term "proof-based math?" Because I only know that from Veeky Forums.
What is done in German universities in "Analysis" courses is much closer to what is referred to as "real analysis" in American universities, which is not usually taken in first year in undergrad.
Calculus is the "Höhere Mathematik" an engineer might take in Germany.

I don't see a single task there where you have to proof something, also where are the other topics like Topology, Sigma-Algebren and manifolds? It looks like first or second semestre in Germany.

>What is done in German universities in "Analysis" courses is much closer to what is referred to as "real analysis" in American universities, which is not usually taken in first year in undergrad.
What the fuck?! Real analysis is not first year?!

It is a grad course as far as I am aware of, but do not quote me on this. I bet advanced(?) undergrads can also take that. And maybe some universities with more difficult math programs go straight to real analysis.
But as I said, their calculus is closer to "höhere Mathematik" that many non-math majors like engineers have in Germany, with an emphasis on techniques rather than proofs and rigor.

I don't actually want to believe that.
Topology is compulsory nowadays for research, without having even done analysis, how are post grads even supposed to do anything worthwhile?
I know that americans do vector analysis, but again, how do they even talk about results such as the extreme value theorem (for example) without real analysis?

>I don't actually want to believe that.
Well, look at the syllabus of this real anylsis course at MIT: ocw.mit.edu/courses/mathematics/18-100c-real-analysis-fall-2012/index.htm
Prerequisites include multivariable calculus and differential equations.

Over there, programs are just structured very differently.

Fortunately that's an undergraduate course, but yes, that is quite bizarre.

I took real analysis fall semester of my second year at university. I was far ahead of my class though, it's normally a fourth year course
t. math major at mid level american university

"Typical" burger undergraduate program is:
Calculus 1 --> Calculus 2 --> Calculus 3 --> ODE/proof course/Calculus 4/bunch of bs,
leading to a real analysis course in the first semester of year 3 of undergraduate.

Prepared students start year 1 in analysis or in an honors sequence isomorphic to analysis (not a canonical isomorphism).

Ill-prepared students might not see analysis until year 4 of undergraduate. Cry for the burgers!

>proof course
What's this? UK here and I've never heard of a course dedicated for proofs, we usually prove things as soon as we start university in analysis.

I can't see how they do complex analysis, fourier analysis, functional analysis and ODE/PDEs (rigorously) if they start with RA in the first year.
I assume they do topology before RA, even though it may be unmotivated.

USA (USA! USA!) "Calculus" courses run at the level of Stewart's Calculus. Computation, not thinking, not abstraction. Hence, roughly two years of mundane calculation.

Consequently, most burger programs require a "proof" course to wean students. Wat is induction? Wat is 'implies'? Wat is quantifier? Wat is epsilon? Wat is isomorphism? Wat.

For the "proof" course, think Rudin, think Pugh.
In "algebra proof," think Gallian. Only strong undergraduates see Artin or D & F, etc. etc.

How come, for example, MIT is ranked so highly if that's how it is?
I'm genuinely puzzled and just talked about this with a friend of mine too. "How do they do topology?", "the calculations they're doing must be really difficult if they're doing it for that long" are things that came up.
Care to enlighten us on this?

There is a difference between MIT and your average state school in the US.

They still teach very basic calculus at that level at MIT, but the people who take it are mostly people who major in business or biology. Most people who study math or physics start with more advanced versions of classes or the intro to analysis class (Rudin).

Note modifiers "most" and "typical." MIT is not typical. Think instead of many University of X or X State University places. At those, the honors or elite might do topology.

How to do topology? "Most" and "typical" might not see a full Munkres-esque topology.

Hard calculations? Not at all.

Exercise for reader: Take a moment to look up an undergraduate math sequence at three burger University of X instances. Summarize your findings in a 3--17 word essay.

My state school used Artin for undergrad Algebra, and one semester of algebra was required by all math majors. I am pretty sure this isn't atypical.

Good for you op

Oh my gosh I almost wish my calc3 final where like that. But then my degree would feel worthless.

Europeans actually come onto Veeky Forums, make up unfounded things about American education, and then sit around swapping apocrypha without any clue of what actually goes on. I'd really like to know what prompts this behavior.

-1/2

Because some of them did some time in the States, teaching in those programs?

Because they are French acolytes of Grothendieck and Deligne?

Because they are secret Australian shitposters?

>I'd really like to know what prompts this behavior.
Someone claiming (or thinking) that "analysis" as taught in German universities is the same as "calculus" as taught in American universities, when that isn't the case.
And notice the post you are quoting doesn't really state anything as fact, so feel free to correct it if you want.

It's the same shit at Harvard. If analysis were really essential, then these yuropoors and Ausfags would have universities that are at the top of the list, but because the aforementioned fields are useless, it explains why their people come to our country to study.

Look like a pretty standard calc 3 test, very similar to mine except we covered sequences and series in calc 2

Pretty standard, except queston 1-4, they were already covered in calc 2.

Our calc 3 was easier though.
courses.mai.liu.se/GU/TATA43/Tentor/TATA43-20160107-UL.pdf

your post reads like a trainwreck and it's impossible to understand. what are you trying to say?

I can confirm. My ex-gf did math at Podunk State University. She did a calc sequence, diffy q's, 2 semesters real analysis, something called "discrete math" (which was apparently just truth tables for 16 weeks), 2 semesters of linear algebra (both semesters were properly contained in 1 semester of LA at my university), and probability.

Here's the bad part:
According to her, you couldn't even take classes like topology or differential geometry unless you got approval to enter a special program that allowed you to register for grad classes (plot twist: it cost 3k extra in tuition).

She did get a 20 on the Putnam exam, so I guess it wasn't that bad of a program.

>Cambridge
Retry user

Not sure how much tuition is already there, but here it's £9000, or £23000 if you're an international student.