**Learning objectives**

- Derive Cauchy bounds
- Liouville’s theorem and the fundamental theorem of algebra
- Maximum modulus principle

**Before class**

- Work on projects
- Work on problems 4.4: 1, 2; and 4.5: 3.
- Read Chapter 4.5
- Preview Chapter 4.6

**In class**

**Learning objectives**

- Derive Cauchy bounds
- Liouville’s theorem and the fundamental theorem of algebra
- Maximum modulus principle

**Before class**

- Work on projects
- Work on problems 4.4: 1, 2; and 4.5: 3.
- Read Chapter 4.5
- Preview Chapter 4.6

**In class**