11 problems.
- Define the winding number of a path about a point — Theorems and Definitions, item 1
- Define the multiplicity of an analytic function at a point — Theorems and Definitions, item 2
- State the Maximum Principle — Theorems and Definitions, item 3
- State the Casorati–Weierstrass theorem — Theorems and Definitions, item 4; exact repeated Casorati–Weierstrass prompt
- State Cauchy’s Integral Formula — Theorems and Definitions, item 5
- State the Open Mapping Theorem — Theorems and Definitions, item 6; exact repeated Open Mapping prompt
- Classify isolated singularities of three functions — Problems, problem 1
- A differentiable but nowhere analytic function — Problems, problem 2
- The maximum of \(|f|+|g|\) occurs on the boundary — Problems, problem 3
- Nonconstant entire functions have dense image — Problems, problem 4; exact existing dense-image owner
- Evaluate an integral involving \(\Log(z+e)\) — Problems, problem 5