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BACKGROUND

Pre-Requisites for Learning Numerical Methods [PDF] [DOC]

Objectives of Introduction to Numerical Methods [PDF] [DOC]

Textbook Chapter on Introduction to Numerical Methods [PDF] [DOC]

A PowerPoint Presentation on Introduction to Numerical Methods [PDF] [PPT]

Test Your Knowledge on Introduction to Numerical Methods [HTML] [FLASH] [PDF] [DOC]

On Steps of Solving an Engineering Problem: Part 1 of 2 [YOUTUBE 8:54]

On Steps of Solving an Engineering Problem: Part 2 of 2 [YOUTUBE 7:35]

Enumerating Use of Numerical Methods for Mathematical Procedures: Part 1 of 2 [YOUTUBE 10:42]

Enumerating Use of Numerical Methods for Mathematical Procedures: Part 2 of 2 [YOUTUBE 7:13]

TOPICS

Pre-Requisites for Learning Measuring Errors [PDF] [DOC]

Objectives of Measuring Errors [PDF] [DOC]

Textbook Chapter on Measuring Errors [PDF] [DOC]

A PowerPoint Presentation on Measuring Errors [PDF] [PPT]

Worksheet for True Error [PDF] [MCD]

Worksheet for Approximate Error [PDF] [MCD]

Test Your Knowledge on Measuring Errors [HTML] [FLASH] [PDF] [DOC]

True Error: Definition & Example [YOUTUBE 8:10]

Relative True Error: Definition & Example [YOUTUBE 7:39]

Approximate Error Definition & Example  [YOUTUBE 6:39]

Relative Approximate Error: Definition & Example  [YOUTUBE 8:45]

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

Objectives of Sources of Error [PDF] [DOC]

Textbook Notes on Sources of Error [PDF] [DOC]

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

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

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

Effect of Carrying Significant Digits [YOUTUBE 7:48]

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

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

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

Pre-Requisites for Learning Binary Representation [PDF] [DOC]

Objectives of Binary Representation [PDF] [DOC]

Textbook Notes on Binary Representation of Numbers [PDF] [DOC]

A PowerPoint Presentation on Binary Representation of Numbers [PDF] [PPT]

Worksheet for Decimal to Binary Representation [PDF] [MCD]

Worksheet for Binary to Decimal Representation [PDF] [MCD]

Test Your Knowledge on Binary Representation of Numbers [HTML] [FLASH] [PDF] [DOC]

Introduction to Binary Representation [YOUTUBE 6:41]

Base-10 to Base-2 Conversion Method [YOUTUBE 9:14]

Base-10 to Base-2 Conversion Another Method [YOUTUBE 9:14]

Pre-Requisites for Learning Floating Point Representation [PDF] [DOC]

Objectives of Floating Point Representation [PDF] [DOC]

Textbook Notes on Floating Point Representation of Numbers [PDF] [DOC]

A PowerPoint Presentation on Floating Point Representation of Numbers [PDF] [PPT]

Worksheet for Decimal to Floating Point Representation [PDF] [MCD]

Worksheet for Floating Point to Decimal Representation [PDF] [MCD]

Test Your Knowledge on Floating Point Representation of Numbers [HTML] [FLASH] [PDF] [DOC]

Floating Point Representation Background: Part 1 of 3 [ YOUTUBE 7:37]

Floating Point Representation Background: Part 2 of 3 [ YOUTUBE 10:43]

Floating Point Representation Background: Part 3  of 3[ YOUTUBE 1:58]

Floating Point Representation: Example  [YOUTUBE 10:10]

Floating Point Representation - Biased Exponent: Example [YOUTUBE 8:51]

IEEE-754 Single Precision Representation: Part 1 of 2 [YOUTUBE 4:57]

IEEE-754 Single Precision Representation: Part 2 of 2 [YOUTUBE 8:38]

Pre-Requisites for Learning Propagation of Errors  [PDF] [DOC]

Objectives of Propagation of Errors [PDF] [DOC]

Textbook Notes on Propagation of Errors [PDF] [DOC]

A PowerPoint Presentation on Propagation of Errors [PDF] [PPT]

Worksheet for Propagation of Errors [PDF] [MCD]

Test your knowledge on Propagation of Errors [HTML] [FLASH] [PDF] [DOC]

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

Objectives of Taylor Series Revisited [PDF] [DOC]

Textbook Notes on Taylor Series [PDF] [DOC]

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

Test Your Knowledge on Taylor Series [HTML] [FLASH] [PDF] [DOC]

Introduction to Taylor Series [YOUTUBE 7:28]

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

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

ANECDOTES

Worksheet on quadratic equation solution to illustrate subtraction of close numbers [PDF] [MCD]