12 problems.
- Define local uniform convergence — Theorems and Definitions, item 1
- Define the multiplicity of an analytic function at a point — Theorems and Definitions, item 2
- State the Casorati–Weierstrass theorem — Theorems and Definitions, item 3
- Define the winding number of a path about a point — Theorems and Definitions, item 4
- State Morera’s theorem — Theorems and Definitions, item 5
- Define a branch of the logarithm — Theorems and Definitions, item 6
- Limit of a semicircular contour integral — Problems, problem 1
- Residues of products at simple poles and a weighted residue formula — Problems, problem 2
- Possible contour integrals of \(1/(1+z^2)\) — Problems, problem 3
- An injective analytic function has nonvanishing derivative — Problems, problem 4
- Entire functions and singularities at infinity — Problems, problem 5
- Quadratic derivative-bound estimate and equality case — Problems, problem 6