**Learning objectives**

- Create taylor polynomials of 1-variable functions by matching derivatives
- Explore taylor series for , , .
- Create 1st and 2nd degree taylor polynomials of 2-variable functions
- Identify local behavior (at a point) of 2-variable functions: linear, saddle point, maximum or minimum
- Find unconstrained maximum and minimum of 2-variable functions
- Work with least squares parameter fitting

**Resources**

- Textbook sections 10.1, 14.7, 15.1, 15.2
- Notes on critical points

**In class**

- Days 1 and 3: Problems on Taylor polynomials
- Day 3: Look at online topographic maps, work with Critical points and linear regression

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