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Course: Numerical Methods


INTEGRATION: GAUSS QUADRATURE RULE

 

Converting Limits Of Integration

 

By Autar Kaw



TOPIC DESCRIPTION
 

Learn how to convert the limits of integration  to -1 to +1.  This conversion is needed to apply the handbook values given for Gauss quadrature rules.


ALL VIDEOS FOR THIS TOPIC
 

Method of Undetermined Coefficients: Trapezoidal Rule Derivation [YOUTUBE 10:00]

2-pt Gaussian Quadrature Rule: Derivation  [YOUTUBE  8:43] 

n-pt Gaussian Quadrature Rule: Discussion [YOUTUBE 8:52]

Converting Limits of Integration [YOUTUBE 7:13]

Gaussian Quadrature Rule: Example [ YOUTUBE 8:55]

1-pt Gaussian Quadrature Rule: Derivation  [YOUTUBE  8:36] 

Complete Derivation of Two Point Gaussian Quadrature Rule: Part 1 of 3 [ YOUTUBE 9:46]

Complete Derivation of Two Point Gaussian Quadrature Rule: Part 2 of 3 [ YOUTUBE 3:31]

Complete Derivation of Two Point Gaussian Quadrature Rule: Part 3 of 3 [ YOUTUBE 9:58]


COMPLETE RESOURCES
  Get in one place the following: a textbook chapter, a PowerPoint presentation, individual YouTube lecture videos, worksheets to illustrate the method and its convergence, and multiple-choice questions on Gauss Quadrature Rule.

Copyrights: UnCreative Commons Licenseiversity of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468, 0717624,  0836981.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.  Numerical Methods for Undergraduates by http://numericalmethods.eng.usf.edu is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License.  Based on a work at numericalmethods.eng.usf.edu.