Mathematics Paper

The purpose of this project is to study the Macluarin Series and its usefulness in approximating various functions. One application of this capability to approximate functions is in anti differentiating them. There are many functions that are either very difficult or impossible to inegrate: for these the use OF Maclaurin Series is very useful.

For this project, we will use the simple functions

f(x) = Sinx and integrate it from 0 to pi/8, 0 to pi/6, 0 to pi/4. 0 to 2pi/3.

Next, we will use the Macluarin series approximation of the function y= sin(x) to perform these same integration to 0.0001 level of accuracy. The object of this exercise is to observe that the further we move away from zero, the more terms of the Macluarin series are needed to maintain the desired level of accuracy.

Must use word equation tool to write the project and must be explained thoroughly. Graphs must also be shown for the function and derivations must be clear step by step. Grading is based on 80% accuracy and 20% presentation.