**Learning objectives**

- Define linear and quadratic taylor polynomials
- Work with the 4 most important Taylor series: exponential, cosine, sine, and binomial (which generalizes the geometric series for )
- Explain the similarity between the exponential and trigonometrical series using complex numbers
- Justify the convergence of the exponential series to the exponential function

**Before class**

- Read Hughes-Hallett 10.1-10.3
- Ponder Hughes-Hallett problems 10.1:4,7,12; 10.2:34,41,43; 10.3:1,2,3,8,21.

**In class**