In this blog entry you can find lecture notes for Math2111, several variable calculus. See also the table of contents for this course. This blog entry printed to pdf is available here.

Here we discuss the conditions under which Green’s theorem (see also here) applies, more precisely for which curves and regions enclosed by the curve.

The formula in Green’s theorem states that

where is a continuously differentiable vector field, is a curve which is simple, closed, smooth and oriented positively, and is the region enclosed by the curve Continue reading