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

NONLINEAR EQUATIONS 112Physical problemsChapter 03.00A Physical problem - general engineering 112Chapter 03.00B Physical problem - chemical engineeringChapter 03.00C Physical problem - civil engineering 116Chapter 0.3.00D Physical problem - computer engineeringChapter 03.00E Physical problem - electrical engineeringChapter 03.00F Physical problem – industrial engineeringChapter 03.00G Physical problem - mechanical engineering 122Chapter 03.01 Solution of quadratic equations 126Multiple-choice test 129Problem set 131Chapter 03.03 Bisection method of solving a nonlinear equation 133Bisection method 133Algorithm for the bisection method 136Advantages of bisection method 139Drawbacks of bisection method 140Multiple-choice test 142Problem set 144Chapter 03.04 Newton-Raphson method of solving a nonlinear equation 146Introduction 146Derivation 146Algorithm 147Drawbacks of the Newton-Raphson method 150What is an inflection point? 154Derivation of Newton Raphson method from Taylor series 154Multiple-choice test 156Problem set 158Chapter 03.05 Secant method of solving nonlinear equations 160What is the secant method and why would I want to use it instead of the Newton-Raphson method? 160Multiple-choice test 165Problem set 167Chapter 03.06 False-Position method of solving a nonlinear equation 169Introduction 169False-Position method 170Step-by-step False-Position algorithms 170Multiple-choice test 175xv