Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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SOURCES OF ERROR

CHAPTER 01.03

How a Learner Can Use This Module


PRE-REQUISITES & OBJECTIVES

 

Pre-Requisites for Learning Sources of Error [PDF] [DOC]

Objectives of Sources of Error [PDF] [DOC]

TEXTBOOK NOTES

 

Text Chapter of Sources of Error? [PDF] [DOC]

DIGITAL AUDIOVISUAL LECTURES

 

Round-off Error: Definition and Examples [YOUTUBE 3:47] [TRANSCRIPT]

Effect of Carrying Significant Digits [YOUTUBE 7:48] [TRANSCRIPT]

Truncation Error: Definition [YOUTUBE 8:34] [TRANSCRIPT]

Truncation Error: Example: Series [YOUTUBE 6:44] [TRANSCRIPT]

Truncation Error: Example: Integration [YOUTUBE 6:12] [TRANSCRIPT]

Truncation Error: Example: Differentiation [YOUTUBE 10:14] [TRANSCRIPT]

MULTIPLE CHOICE TEST

 

Test Your Knowledge on Sources of Error [HTML] [FLASH] [PDF] [DOC]

PRESENTATIONS

 

A PowerPoint Presentation on Sources of Error [PDF] [PPT]

BLOG ENTRIES

 

Comparing Two Series to Calculate pi [BLOG]

Myth: Error Caused by Chopping a Number is Called Truncation Error [BLOG]

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

 

Accuracy of  Series of Approximation [NBP]

RELATED TOPICS

 

Introduction

Measuring Errors

Binary Representation

Floating Pt Representation

Propagation of Errors

Taylor Theorem Revisit


 

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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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