Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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GAUSS QUADRATURE

CHAPTER 07.06

How a Learner Can Use This Module

PRE-REQUISITES & OBJECTIVES

 

Pre-Requisites for Gauss-Quadrature  [PDF] [DOC]

Objectives of Gauss-Quadrature  [PDF] [DOC]

TEXTBOOK CHAPTER
  Textbook Chapter of Gauss-Quadrature Method [PDF] [DOC]
DIGITAL AUDIOVISUAL LECTURES
 

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]

MULTIPLE CHOICE TESTS
 

Test Your Knowledge of Gauss-Quadrature Method [HTML] [FLASH] [PDF] [DOC]

PRESENTATIONS
 

PowerPoint Presentation for Gauss-Quadrature Method [PDF] [PPT]

WORKSHEETS
 

Simulation of Gauss-Quadrature Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB]

Convergence Simulation of Gauss-Quadrature Method [MAPLE] [MATHCAD] [MATHEMATICA] [MATLAB]

EXAMPLES FROM OTHER MAJORS

 

Chemical Engineering Example of Gauss-Quadrature Method  [PDF]  [DOC] [PHY

Civil Engineering Example of Gauss-Quadrature Method  [PDF]  [DOC] [PHY

Computer Engineering Example of Gauss-Quadrature Method  [PDF [DOC] [PHY]

Electrical Engineering Example of Gauss-Quadrature Method  [PDF [DOC] [PHY

Industrial Engineering Example of Gauss-Quadrature Method  [PDF [DOC] [PHY]

Mechanical Engineering Example of Gauss-Quadrature Method  [PDF [DOC] [PHY]

WOLFRAM DEMONSTRATION (External link | What are Wolfram Demonstrations? | Do need free Mathematica Player to run)

 

Gaussian Quadrature [NBP]

RELATED TOPICS

 

Integral Calc Primer 

Trapezoidal Rule

Simpson's 1/3rd Rule

Romberg Integration

Discrete Data Integration

Improper Integration

Simpson's 3/8 Rule

  > Home > Integration

 

 

 


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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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