Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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TRAPEZOIDAL RULE OF INTEGRATION (CHAPTER 07.02)

 

Method of Undetermined Coefficients : Derivation

 

By Autar Kaw



TOPIC DESCRIPTION
 

Learn how to derive the trapezoidal rule of integration from the method of undetermined coefficients.

 


ALL VIDEOS FOR THIS TOPIC
 

Trapezoidal Rule Derivation [YOUTUBE 10:51] [TRANSCRIPT]

Trapezoidal Rule: Example [YOUTUBE  7:18] [TRANSCRIPT] 

Trapezoidal Rule Multiple Segment Rule: Motivation [YOUTUBE 4:53] [TRANSCRIPT]

Trapezoidal Rule Multiple Segment Rule: Derivation [YOUTUBE 7:48] [TRANSCRIPT]

Trapezoidal Rule Multiple Segment Rule: Example: Part 1 of 2 [YOUTUBE 8:17] [TRANSCRIPT]

Trapezoidal Rule Multiple Segment Rule: Example: Part 2 of 2 [YOUTUBE 3:41] [TRANSCRIPT]

Trapezoidal Rule Multiple Segment Rule: Error Derivation [YOUTUBE  8:46] [TRANSCRIPT] 

Trapezoidal Rule Multiple Segment Rule: Error Example [YOUTUBE  8:52] [TRANSCRIPT] 

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