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Stokes!

Stokes!

Haha sure, I just don't know where to begin, what do you already know?

Towards the end of vec calc is where it gets confusing haha

Actually I can figure it out, long as I have a good understanding of curl and divergence, so...

Ahh ok well those are something I can help you with too.

No actually it would be more related to torque!

So a scalar field would be a function of two variables

And these laws are all conservative fields

Another scalar field we could imagine would be air pressure.

Haha, so the magnitude

Hmmm well maybe, depends, magnitude of what?

So that is why I said gradient field

Yeah, the divergence of a scalar field is always a conservative vector field, that's the definition.

The idea is that the curl will make the vector field easier to deal with.

potential function

As you see vector calc was not my strongest haha.

It's in Maxwell's equations

Yeah, a lot of vector calculus is in E&M

If not all

Do you understand what a vector field is?

Yes

But I'm still not sure if he knows what a vector field is.

I think so man, it's like in R^3 and can be expressed in component functions and stuff

Actually it doesn't need to be in \(\mathbb R^3\).

You can have a vector field in \(\mathbb R\), but it's be \(1\) component vectors.

Right!

Do path integrals make sense to you? That is integrating a scalar function over a curve?

Okay, if I gave you \[
\int_0^1 x^2 ~ dx
\]How would you understand it?

Maybe we can leverage that, since I'm guessing it makes sense to you what it means.

As in |dw:1436000594348:dw|

So you interpret it as area under the curve.

Yup

What is \(y\)?

Are you not here or do you not know why or what?

oh ok