Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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TAYLOR SERIES REVISITED

CHAPTER 01.07

How a Learner Can Use This Module

PRE-REQUISITES & OBJECTIVES

 

Pre-Requisites for Learning Taylor Series Revisited [PDF] [DOC]

Objectives of Taylor Series Revisited [PDF] [DOC]

TEXTBOOK CHAPTER
  A Textbook Chapter of Taylor Series Revisited [PDF] [DOC]
DIGITAL AUDIOVISUAL LECTURES
 

Introduction to Taylor Series [YOUTUBE 7:28] [TRANSCRIPT]

Taylor Series: Example [YOUTUBE 6:31] [TRANSCRIPT]

Taylor Series: Deriving the Series for exp(x)  [YOUTUBE 5:30] [TRANSCRIPT]

Taylor Series: Example: Finding sin(2.0) [YOUTUBE 10:32] [TRANSCRIPT]

MULTIPLE CHOICE TESTS
  Test Your Knowledge of Taylor Series [HTML] [FLASH] [PDF] [DOC]
PRESENTATIONS
 

A PowerPoint Presentation on Taylor Series [PDF] [PPT]

BLOG ENTRIES
 

On Accuracy of Taylor Series [BLOG]

An Example of Taylor Series [BLOG]

Revisiting Taylor Series [BLOG]

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

Taylor Series [NBP]

Taylor Polynomial [NBP]

Taylor-Maclaurin Series [NBP]

Accuracy of  Series of Approximation [NBP]

RELATED TOPICS

 

Introduction

Measuring Errors

Sources of Error

Binary Representation

Floating Pt Representation

Propagation of Errors

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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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