Lesson: Maclaurin and Taylor Series of Common Functions Mathematics

In this lesson, we will learn how to find the Taylor/Maclaurin series representation of common functions such as exponential and trigonometric functions and binomial expansion.

Lesson Plan

Students will be able to

calculate Taylor and Maclaurin series representations of common functions, such as exponential, sine, cosine, and binomial functions,
use Taylor and Maclaurin series of compositions of common functions, such as or ,
use Maclaurin series to find approximations of specific values of these functions,
use Taylor and Maclaurin series to approximate integrals of functions such as and find the maximum value of the error in the approximation.