Discover MakerZone

MATLAB and Simulink resources for Arduino, LEGO, and Raspberry Pi

Learn more

Discover what MATLAB® can do for your career.

Opportunities for recent engineering grads.

Apply Today

Thread Subject:
Vector Calculus

Subject: Vector Calculus

From: wesley

Date: 8 Apr, 2011 17:28:20

Message: 1 of 2

Ok yes I am a student and I'm trying to do homework (online class).

Text: Kreyszig Advanced Engineering Mathematics 9th page 473


Problem: Evaluate int int sub s ( curl F). n dA directly for the given F and S.

F=[y^3, -x^3,0] S=: X^2+y^2 <= 1 z=0

Maybe supposed to use Stokes Theorem or formula.

Can I automate any of this with matlab?

Similar to the below:

http://www.math.umn.edu/~nykamp/m2374/readings/stokesex/

Subject: Vector Calculus

From: Roger Stafford

Date: 8 Apr, 2011 20:09:05

Message: 2 of 2

"wesley " <wes.wortman@gmail.com> wrote in message <inngjk$plu$1@fred.mathworks.com>...
>......
> Problem: Evaluate int int sub s ( curl F). n dA directly for the given F and S.
> F=[y^3, -x^3,0] S=: X^2+y^2 <= 1 z=0
> Maybe supposed to use Stokes Theorem or formula.
> Can I automate any of this with matlab?
> .......
- - - - - - - - - -
  You can use Stoke's Theorem or doubly integrate directly over the circular region. Both ways lead to simple integration. (In either case it is best to switch to polar coordinates.) As for using Matlab there is always the Symbolic Toolbox to find integrals and derivatives and there is a curl function for numerical computation, but frankly this problem is so simple that it is hardly worth bothering about using Matlab. I did it on a small piece of scratch paper both ways (and got the same answer, too.)

Roger Stafford

Tags for this Thread

No tags are associated with this thread.

What are tags?

A tag is like a keyword or category label associated with each thread. Tags make it easier for you to find threads of interest.

Anyone can tag a thread. Tags are public and visible to everyone.

Contact us