As part of the final for my Multivariable Calculus class, I am to create a project wherein I find an application of some multivariable calculus subject (up to and including Green's Theorem), and create a presentation and model of that topic.
Because of this, I spent a while searching textbooks online for any topic that includes multivariable. However, all the texts I found were either too simple (e.g. integrating polynomials) or too difficult (e.g. Stokes' & Divergence theorems).
Are there any scientific topics that can be explored fully using primarily only the multivariable I know?
Something to do with Econ, CS, or Physics would be great, though other fields would be good as well.
Best Answer
A main use of Stoke's Theorem is in electricity and magnetism. Perhaps you could set up an electromagnet that creates a magnetic field in order to demonstrate that the integral of the curl of a magnetic field is proportional to the flux of the current through a surface?