Use of GeoGebra in Learning to Solve the Problem of Calculating the Root of a Nonlinear Equation

Abstract

Generally, when starting a first undergraduate numerical methods course, the first method taught to calculate the root of a root of a nonlinear equation in a single variable is the bisection method, in which the initial interval is divided into two subintervals taking the midpoint of the segment as a reference, the subinterval containing the root is bisected again, and so on until the desired root is approximated. The question that naturally arises from students is why would the interval necessarily have to be bisected? What if instead of bisecting the initial interval, we divide it according to a given ratio? This chapter describes the interval method divided by a given reason to approximate the root of a nonlinear equation in a single variable as a generalization of the bisection method. Proposing a new method for teaching the calculation of roots of a nonlinear equation.