Learning objectives

• Define analytic functions two ways
  • Function has a derivative
  • Function equals a power series near every point
• Derive and use Cauchy-Riemann equations
• Explore examples of analytic functions
• Use Green’s Theorem to prove Cauchy’s Theorem
• Integrate rational functions around closed paths

Before class

• Keep working on project

In class

• Cauchy Riemann equations and Cauchy’s Theorem
• Some uv-plots