Holistic Numerical Methods

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DIFFERENTIATION OF CONTINUOUS FUNCTIONS (CHAPTER 02.02)

 

Higher Order Derivatives : Theory

 

By Autar Kaw

TOPIC DESCRIPTION
 

Learn how you can used Taylor series to derive finite difference formulas for the second derivative of a function.
ALL VIDEOS FOR THIS TOPIC
 

Forward Divided Difference: Part 1 of 2 [YOUTUBE 9:28] [TRANSCRIPT]

Forward Divided Difference: Part 2 of 2 [YOUTUBE 4:41] [TRANSCRIPT]

Backward Divided Difference: Part 1 of 2 [YOUTUBE 9:08] [TRANSCRIPT]

Backward Divided Difference: Part 2 of 2[YOUTUBE 5:32] [TRANSCRIPT]

Central Divided Difference [YOUTUBE 9:53] [TRANSCRIPT]

Higher Order Derivative Divided Difference: Theory [YOUTUBE 8:37] [TRANSCRIPT]

Higher Order Derivative Divided Difference: Example [YOUTUBE 6:04] [TRANSCRIPT]

Accuracy of Divided Difference Formulas: Part 1 of 2 [YOUTUBE 8:16] [TRANSCRIPT]

Accuracy of Divided Difference Formulas  Part 2 of 2 [YOUTUBE 3:51] [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 Differentiation of Continuous Functions.

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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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