Tag Archives: simpson’s 1/3 rule

Length of curve

This is a solution to the problem I gave to the class in a recent test.

A robot follows a path generated by a quadratic interpolant from x=2 to x=4.  The interpolant passes through three consecutive data points (2,4), (3,9) and (4,16) and is given by y=x2.  Find the best estimate of the length of the interpolant path from x=2 to x=4. 

The solution is given as an audio pdf (also called pencast – need Adobe X reader or higher). Three methods are shown. I expected one to use Method 2 or Method 3.
http://www.eng.usf.edu/~kaw/class/EML3041/livescribe/length_of_curve.pdf

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This post is brought to you by Holistic Numerical Methods: Numerical Methods for the STEM undergraduate at http://numericalmethods.eng.usf.edu, the textbook on Numerical Methods with Applications available from the lulu storefront, the textbook on Introduction to Programming Concepts Using MATLAB, and the YouTube video lectures available at http://numericalmethods.eng.usf.edu/videos.  Subscribe to the blog via a reader or email to stay updated with this blog. Let the information follow you.

A video tutorial on Simpson’s 1/3 rule

Simpson’s 1/3 rule is a popular method of conducting numerical integration.  We have recorded a series of short videos on this topic and they are avilable as a playlist at http://www.youtube.com/user/numericalmethodsguy#g/c/2A25C3DC6D8E5616.

This post is brought to you by Holistic Numerical Methods: Numerical Methods for the STEM undergraduate at http://numericalmethods.eng.usf.edu, the textbook on Numerical Methods with Applications available from the lulu storefront, and the YouTube video lectures available at http://numericalmethods.eng.usf.edu/videos and http://www.youtube.com/numericalmethodsguy

Subscribe to the blog via a reader or email to stay updated with this blog. Let the information follow you.