Description: This simulation shows the values obtained to integrate a function via trapezoidal rule with unequal segments, polynomial interpolation, and spline interpolation.
Keywords: Integration, numerical integration, trapezoidal rule
Learning Objectives: After successful completion of running the simulation with proper questions asked by the instructor, the student would be able to 1) note the difference in using linear spline, cubic spline, and polynomial interpolation when integrating functions given at discrete data points.
Full Resources: The full resources for the topic include textbook content, PowerPoint presentations, multiple-choice tests, audiovisual lectures, and application examples.
Software Requirements: Latest versions of Safari, Microsoft Edge, Firefox, Google Chrome.
Credits: Design Team: Autar Kaw and Mayank Pandey. Software development: Mayank Pandey and Autar Kaw.
We acknowledge the immense help of the PhetSims Google group, third party libraries: almond-0.2.9.js, easing-equations-r12,FileSaver-b8054a2.js, fontawesome-webfont-3.0.2.svg, jama-1.0.2, jquery-2.1.0.js, lodash-2.4.1.js, pegjs-0.7.0.js, seedrandom-2.4.2.js, text-2.0.12.js, Tween-r12.js
Acknowledgments: This material is based upon work supported partially by the National Science Foundation under Grant Number 2013271. Any opinions, findings, and conclusions, or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.
All Simulations: Here is the link for all the simulations developed.