Transforming Numerical Methods Education for the STEM Undergraduate MOBILE | VIDEOS | BLOG | YOUTUBE | TWITTER | COMMENTS | ANALYTICS | ABOUT | CONTACT | COURSE WEBSITES | BOOKS | MATH FOR COLLEGE |

BACKGROUND

Pre-Requisites for Learning Differential Calculus [PDF] [DOC]

Objectives of Differential Calculus [PDF] [DOC]

A Primer on Differential Calculus  [PDF] [DOC]

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

PHYSICAL PROBLEM

Finding the acceleration of a rocket from its velocity. [PDF] [DOC]

NUMERICAL METHODS

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

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

How does Numerical Differentiation of Continuous Functions Work? [PDF] [DOC]

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]

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]

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

Worksheet for Numerical Differentiation of Continuous Functions Forward Divided Difference [PDF] [MCD]

Worksheet for Numerical Differentiation of Continuous Functions Backward Divided Difference [PDF] [MCD]

Worksheet for Numerical Differentiation of Continuous Functions Central Divided Difference [PDF] [MCD]

Worksheet for Numerical Differentiation of Continuous Functions Second Order Derivative [PDF] [MCD]

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

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

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

How does Numerical Differentiation of Discrete Functions Work? [PDF] [DOC]

Newton's Divided Difference Polynomial Method: Theory [YOUTUBE 7:45]

Newton's Divided Difference Polynomial Method: Example [YOUTUBE  8:28]

A Power Point Presentation on Numerical Differentiation of Discrete Functions [PDF] [PPT]

Worksheet for Numerical Differentiation of Discrete Functions [PDF] [MCD]

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

ANECDOTES

Effect of Step Size on Accuracy of Numerical First Derivative

Forward Divided Difference  [PDF] [PPT]

Backward Divided Difference  [PDF] [PPT]

Central Divided Difference [PDF] [PPT]

Comparing the Forward Divided Difference, Backward Divided Difference & Central Divided Difference [PDF] [MCD]

Effect of Significant Digits on the Value of the Numerical Derivative [PDF] [MCD]