1) Define the concept of analytic functions on an open set.
2) Give 3 examples of complex-valued functions that are
differentiable on a point but nowhere analytic.
3) Derive the Cauchy-Riemann equations.
4) Give 3 examples of functions that satisfy the Cauchy-Riemann
equations but not analytic.
5) What are the sufficient conditions for a complex-valued function
to be differentiable at a point?