(Revised version)

- Find the roots of the following polynomials; show your work, recommended not to use a calculator!
a) b) c)
- Fisher 4.2.1

- Fisher 4.2.2

- Find the electrostatic potential
between two infinite flat plates in the plane: one along the positive real axis, at
, and one starting at the origin and situated up and to the left, meeting the first plate at 120
, held at
. Note that there is a small insulator between the two plates at the origin!

- Consider two non-concentric circles, one of which crosses the axis at
and
(with its center on the real axis), and one defined by
. First show that the following map

- (F 4.2.15)
Using the Milne-Thompson Circle Theorem and the Zhukovsky map, obtain the complex function for flow past an ellipse with axes
and
(see Fisher p.282).

Version 1.1