Hints for study for exam 2

Review the material on taking roots, powers and logs. Be sure you
understand the logarithm.

Remember that analytic means complex differentiable (we assume all
our functions are continuously differentiable).

Review the definitions of line integral.  Be sure you can compute line
integrals over staight lines between two points and sections of circles.
This is  mostly a matter of knowing the definition, knowing how to set up
the  parameterization of the contour , and doing fairly elementary
integration in one variable.

Know the major theorems about integration of analytic functions. This
comes down to:

1.The use of anti-derivatives to compute integrals.

2.Cauchy's Theorem (we do not need the Goursat part).

3.The Cauchy integral formula.

4.The Cauchy integral formula for derivatives.

And most of all, how to use the above to compute integrals.  The first is
used to compute integrals along arbitrary contours.  The second three 
apply to closed contours.