Learning objectives

• Learn how the values of an analytic function on a circle determine its values at points enclosed by the circle
• Applications of the Cauchy integral formula

Before class

• Prepare reference list for projects
• Read Chapter 4.1-4.4
• Preview Chapter 4.5

In class

• Explore complex integration; Cauchy’s theorem
• Homotopy proof of Cauchy’s theorem
• Derive and use the Cauchy integral formula

Daily schedule