**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

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