Exercises week 37

III.1: 1b, c, 4, 6, 7 (note: computations a bit complicated)
III.2: 1b, c (Hint: Find a curve around and close to a point where differential of the form is non-zero), 2 (Hint: look at example on page 80), 3 (Hint: Cut the domain into subdomains which are simply connected, where Green's theorem can be applied)
III.3: 1b, d, 2, 3, 4
III.4: 1, 2
III.5: 1,2,3,4,9