Methodological Aspects of Studying the Topic "Approximate Solution of Equations" of the Discipline "Numerical Methods"

Abstract

The aim of the paper is to develop methodological aspects of studying the discipline "Numerical Methods" by future bachelors in the fields of "Mathematics" and "Computer Science", the ability to choose the appropriate numerical method for solving a problem and create a program in a programming language.

Methods. Programming in Pascal for solving equations by the method of tangents and chords. Each of the described methods includes an example of solving a specific problem using a program written in the PascalABC language. A flowchart illustrating its algorithm is also provided for each method.

Results. To establish the convergence rate, Pascal ABC programs have been developed for solving equations by the method of tangents and chords. The author's approach to the introduction of the section "Approximate solution of equations" using tangent and chord methods in the course "Numerical Methods" is proposed.

Conclusions. The paper uses application software packages for plotting functions, demonstrates a flowchart for graphical representation of an algorithm for approximate solution of nonlinear equations by the method of tangents and chords. Appropriate programs have been developed for the approximate solution of nonlinear equations, which find approximate roots of the equation and make it possible to compare the rate of convergence with various variations of the tangent and chord method.