What is the best way to tackle any vector calculus question?

Dude that notation sucks and green's is just stokes

>>8464200
Which notation?
I know Green's is just the 2D version of Stokes'.
But what I'm asking is if there's some sort of flowchart of list of steps to check when I see any VC problem.

>>8464199
pls halp I be retard.

I only know the normal integral. When will I see those crazy integrals my man?

>>8464217
In vector calculus. The double integral not as hard as it seems

>>8464217
Multivariate calc is where you see double and triple integrals. All the other notation in image related is vector notation that you see in vector calc.

>>8464199
>curl
>div
I seriously hope you guys don't do this

>>8464199
There's only one theorem and that's is

[math] \int_{\Omega} \rm {d} \omega = \int_{\partial \Omega} \omega [/math]

>>8464323
and Stokes is its prophet

>>8464199
>flowchart
such approaches will not benefit your understanding of mathematics. analysis is not the study of algorithms to solve analysis problems.

instead focus on what the various theorems mean physically and geometrically. this subject is closely tied to electromagnetism, maybe read up on that.

in all honesty, multiple integration and total derivatives are hardly used outside of that class.

>>8464312
Unfortunately we do and I disagree with it.
The notation is literally harder to write than what it stands for lol.

>>8464323
I have no idea what this means lol.

>>8464332
Thanks for the tip. I've just done a shitload of example questions and I think I have a basic strategy anyway. Basically just want to pass the exam and don't really care about the physics of it. I'm majoring in pure mathematics anyway.

>>8464350
>I have no idea what this means lol.
It's (the real) Stokes' theorem. Basically the generalized fundamental theorem of calculus

>>8464350
>>8464357
If you are still doing the calculus sequence it will take some time to get to this generalisation. Dont worry.