Abstract:

This paper brings the short example of the suggestion how it is possible to expand learning materials designed for university teachers who work with students who have chosen advanced mathematics as an elective, or with high school students who are engaged in mathematics beyond compulsory curriculum. The topic is included to university mathematics, but it could help to students at lower levels of education to understand certain important connection by the simple form. The origin of the article was motivated by finding the fact that students are unable to read information from the graphs of functions and thus to combine a real problem with the theory We will show how to convert the solving of continuous problem to the solving of the discrete problem and under what conditions these modifications are successful. On this occasion, we will focus on selected problems associated with current topics (importance of Lipschitz condition, choice of initial approach). The part of the work is the set of cogent graphs.

Keywords:

Equation, iteration, convergence of sequence, Lipschitz condition, initial approach.