Worksheets/Simpsons Rule

Background

When might we need to evaluate an integral with data?

Numerical routine to integrate two functions and find a centroid - Magrab p. 154 (uses quadc() routine)

Expectations:

• Answers with complete sentences
• Some analytical work, some numerical work
• Final answers in report!
• Plot/chart to answer question

PowerPoint Problem Setup

Explanation of numerical integration background, equation derivation

Cover the questions

Cover strategy, writing out what to do before implementing, how to implement in a spreadsheet

Spend a day working in a computer lab

Worksheet Content

Simpson's Rule to approximate the integral of a function,

$ I = int_{a}^{b} f(x) dx $