HTSEFP: Green, Gauss and Stokes theorems

Note: Gauss' theorem is also known as the divergence theorem.

2Line integral over a region (Green's theorem)¶

Use Green's theorem to compute a line integral.

2.1General solution¶

The relevant formula is the following:

$$\oint P\,dx + Q\,dy = \iint_D \frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y}\,dA$$

The rest will come later

3Integrating a vector function given the curl (Stoke's theorem)¶

3.1Examples¶

• Assignment 3, question 1

5That bathtub question (Stokes' theorem)¶

5.1Examples¶

• Assignment 3, question 3