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Course: Numerical Methods


DIFFERENTIATION OF CONTINUOUS FUNCTIONS

 

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]

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

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

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

Central Divided Difference [YOUTUBE 9:53]

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

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

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

Accuracy of Divided Difference Formulas  Part 2 of 2 [YOUTUBE 3:51]


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.

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.