BACKGROUND

INTRODUCTION TO NUMERICAL METHODS

Textbook notes on introduction to Numerical Methods [PDF] [DOC]

A PowerPoint presentation on introduction to numerical methods [PDF] [PPT]

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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

MEASURING ERRORS

Textbook notes on measuring errors [PDF] [DOC]

A PowerPoint presentation on measuring errors [PDF] [PPT]

Worksheet for true error [PDF] [MFILE]

Worksheet for approximate error [PDF] [MFILE]

Test your knowledge on measuring errors [HTML] [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]

SOURCES OF ERROR

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] [PDF] [DOC]

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

Effect of Carrying Significant Digits [YOUTUBE 7:48]

Truncation Error: Definition [YOUTUBE 8:34]

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

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

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

BINARY REPRESENTATION OF NUMBERS

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] [MFILE]

Worksheet for binary to decimal representation [PDF] [MFILE]

Test your knowledge on binary representation of numbers [HTML] [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]

FLOATING POINT REPRESENTATION OF NUMBERS

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] [MFILE]

Worksheet for floating point to decimal representation [PDF] [MFILE]

Test your knowledge on floating point representation of numbers [HTML] [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]

PROPAGATION OF ERRORS

Textbook notes on propagation of errors [PDF] [DOC]

A PowerPoint presentation on propagation of errors [PDF] [PPT]

Worksheet for propagation of errors [PDF] [MFILE]

Test your knowledge on propagation of errors [HTML] [PDF] [DOC]

TAYLOR THEOREM REVISITED

Textbook notes on Taylor Series [PDF] [DOC]

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

Test your knowledge on Taylor Series [HTML] [PDF] [DOC]

Introduction to Taylor Series [YOUTUBE 7:28]

Taylor Series: Example [YOUTUBE 6:31]

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] [MFILE]

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