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INTEGRATION: GAUSS QUADRATURE RULE (CHAPTER 07.05)

 

2-Point Rule Derivation: Part 1 Of 3

 

By Autar Kaw



TOPIC DESCRIPTION
 

Learn how the 2-point Gauss quadrature rule  is derived for approximating an integral.  This video is the first part of the three-part lecture.


ALL VIDEOS FOR THIS TOPIC
 

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

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

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

Converting Limits of Integration [YOUTUBE 7:13] [TRANSCRIPT]

Gaussian Quadrature Rule: Example [ YOUTUBE 8:55] [TRANSCRIPT]

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

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

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

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


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.

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Copyrights: University 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# Creative Commons License0126793, 0341468, 0717624,  0836981, 0836916, 0836805.  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.  Based on a work at http://mathforcollege.com/nm.  Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

 

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