Chapter 02.02 Differentiation of Continuous Functions

Prerequisites & Objectives

Prerequisites for Learning Numerical Differentiation of Continuous Functions [PDF] [DOC]

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

Textbook Chapters

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 Tests

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

Test Your Knowledge of Numerical Differentiation of Continuous Functions [HTML] [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]

Wolfram Demonstration

Differential of a Function [NBP]

Examples from Other Majors

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

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