xiii Note to the reader: This is a customized book for Old Dominion ...

Find if the model meets the assumptions of random errors. 416Problem set 422INTEGRATION 425Physical problemsChapter 07.00A Physical problem - general engineering 425Chapter 07.00B Physical problem - chemical engineeringChapter 07.00C Physical problem - civil engineering 428Chapter 07.00D Physical problem - computer engineeringChapter 07.00E Physical problem - electrical engineeringChapter 07.00F Physical problem – industrial engineeringChapter 07.00G Physical problem - mechanical engineering 534Chapter 07.01 Primer on integration (View it on the web)Go to http://numericalmethods.eng.usf.edu>Keyword> Primer on integral calculusMultiple-choice test 438Problem set 440Chapter 07.02 Trapezoidal rule of integration 443What is integration? 443What is the trapezoidal rule? 443Derivation of the trapezoidal rule 444Multiple-segment trapezoidal rule 450Error in multiple-segment trapezoidal rule 456Multiple-choice test 459Problem set 461Chapter 07.03 Simpson’s 1/3 rule of integration 464What is integration? 464Simpson’s 1/3 rule 464Multiple-segment Simpson’s 1/3 rule 471Error in multiple-segment Simpson’s 1/3 rule 474Multiple-choice test 476Problem set 478Chapter 07.05 Gauss quadrature 480What is integration? 480Gauss quadrature rule 481Derivation of two-point Gaussian quadrature rule 482Higher point Gaussian quadrature formulas 484Arguments and weighing factors for n-point Gauss quadrature rules 485Multiple-choice test 494Problem set 497Chapter 07.06 Integrating discrete functionsWhat is integration?Integrating discrete functionsTrapezoidal rule for discrete functions with unequal segmentsxxii