Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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DIFFERENTIATION OF CONTINUOUS FUNCTIONS

CHAPTER 02.02

How a Learner Can Use This Module

PRE-REQUISITES & OBJECTIVES

 

Pre-Requisites for Learning Numerical Differentiation of Continuous Functions [PDF] [DOC]

Objectives of Numerical Differentiation of Continuous Functions [PDF] [DOC]

TEXTBOOK CHAPTER

 

A Textbook Chapter on Numerical Differentiation of Continuous Functions [PDF] [DOC]

DIGITAL AUDIOVISUAL LECTURES

 

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]

MULTIPLE CHOICE TEST

 

Test Your Knowledge on Background of Differentiation [HTML] [FLASH] [PDF] [DOC]

Test Your Knowledge of Numerical Differentiation of Continuous Functions [HTML] [FLASH] [PDF] [DOC]

PRESENTATIONS

 

A PowerPoint Presentation on Numerical Differentiation of Continuous Functions [PDF] [PPT]

WORKSHEETS

 

Worksheet on Forward Divided Difference Method of Numerical Differentiation [MAPLE]   [MATHCAD]   [MATHEMATICA]  [MATLAB]

Worksheet on Backward Divided Difference Method of Numerical Differentiation [MAPLE]   [MATHCAD]   [MATHEMATICA]  [MATLAB]

Worksheet on Central Divided Difference Method of Numerical Differentiation [MAPLE  [MATHCAD]  [MATHEMATICA]   [MATLAB]

Worksheet on Numerical Differentiation for a Second Derivative [MAPLE [MATHCAD]  [MATHEMATICA]  [MATLAB]

EXAMPLES FROM OTHER MAJORS

 

Computer Engineering Example on Numerical Differentiation of Discrete Functions  [PDF [DOC] [PHY]

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

 

The Definition of a Derivative [NBP]

Differential of a Function [NBP]

RELATED TOPICS

 

Primer on Differentiation

Discrete Function

 

> Home > Differentiation

 


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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, 1322586.  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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