xiii Note to the reader: This is a customized book for Old Dominion ...
xiii Note to the reader: This is a customized book for Old Dominion ...
xiii Note to the reader: This is a customized book for Old Dominion ...
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DIFFERENTIATION 70Physical problemsChapter 02.00A Physical problem - general engineering 70Chapter 02.00B Physical problem - chemical engineeringChapter 02.00C Physical problem – civil engineering 72Chapter 02.00D Physical problem - computer engineeringChapter 02.00E Physical problem - electrical engineeringChapter 02.00F Physical problem - industrial engineeringChapter 02.00G Physical problem - mechanical engineering 76Chapter 02.01 Primer on differential calculus (View it on <strong>the</strong> web)Go <strong>to</strong> http://numericalmethods.eng.usf.edu>Keyword> Primer on differential calculusMultiple-choice test 80Problem set 82Chapter 02.02 Differentiation of continuous functions 84Forward difference approximation of <strong>the</strong> first derivative 84Backward difference approximation of <strong>the</strong> first derivative 87Forward difference approximation from <strong>the</strong> Taylor series 89Finite difference approximation of higher derivatives 92Multiple-choice test 97Problem set 99Chapter 02.03 Differentiation of d<strong>is</strong>crete functions 101Forward difference approximation of <strong>the</strong> first derivative 101Direct fit polynomials 103Lagrange polynomial 105Multiple-choice test 108Problem set 110xiv