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

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INTERPOLATION 300Physical problemsChapter 05.00A Physical problem - general engineering 300Chapter 05.00B Physical problem - chemical engineeringChapter 05.00C Physical problem - civil engineering 302Chapter 05.00D Physical problem - computer engineeringChapter 05.00E Physical problem - electrical engineeringChapter 05.00F Physical problem - industrial engineeringChapter 05.00G Physical problem - mechanical engineering 305Chapter 05.01 Background of interpolationMultiple-choice test 309Chapter 05.02 Direct method of interpolation 311What is interpolation? 311Direct method 312Multiple-choice test 320Problem set 322Chapter 05.03 Newton’s divided difference interpolation 324What is interpolation? 324Newton’s divided difference polynomial method 324Linear interpolation 325Quadratic interpolation 327General form of Newton’s divided difference polynomial 330Multiple-choice test 335Problem set 337Chapter 05.05 Spline method of interpolationWhat is interpolation?Linear spline interpolationQuadratic splinesMultiple-choice testProblem setChapter 05.06 Extrapolation is a bad ideaChapter 05.07 Higher order interpolation is a bad ideaChapter 05.08 Why do we need splines?Chapter 05.10 Shortest path of a robotxx
REGRESSION 339Physical problemsChapter 06.00A Physical problem - general engineering 339Chapter 06.00B Physical problem - chemical engineeringChapter 06.00C Physical problem - civil engineering 343Chapter 06.00D Physical problem - computer engineeringChapter 06.00E Physical problem - electrical engineeringChapter 06.00F Physical problem - industrial engineeringChapter 06.00G Physical problem - mechanical engineering 346Chapter 06.01 Statistics background of regression analysis 351Review of statistical terminologies 351Elementary statistics 351A brief history of regression 355Multiple-choice test 359Chapter 06.02 Introduction of regression analysis 359What is regression analysis? 359Comparison of regression and correlation 360Uses of regression analysis 360Abuses of regression analysis 360Extrapolation 361Least squares methods 363Why minimize the sum of the square of the residuals? 363Multiple-choice testProblem set 365Chapter 06.03 Linear regression 366Why minimize the sum of the square of the residuals? 366Multiple-choice test 379Problem set 381Chapter 06.04 Nonlinear models for regression 383Nonlinear models using least squares 383Exponential model 383Growth model 387Polynomial models 389Linearization of data 393Exponential model 393Logarithmic functions 396Power functions 399Multiple-choice test 405Problem set 408Chapter 06.05 Adequacy of models for regression 411Quality of fitted model 411Plot the data and the regression model. 411Calculate the standard error of estimate. 412Calculate the coefficient of determination. 414xxi
Page 1 and 2: TABLE OF CONTENTSNote to the reader
Page 3 and 4: NONLINEAR EQUATIONS 112Physical pro
Page 5 and 6: What do you mean by the rank of a s
Page 7: On-line chess-like game for reorder
Page 11 and 12: Problem setChapter 07.07 Integratin
Page 13: FAST FOURIER TRANSFORM 593Physical

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