Functional equations in problems of school mathematics
| Authors | |
|---|---|
| Year of publication | 2010 |
| Type | Article in Proceedings |
| Conference | XXVIII International Colloquium on the Management of Educational Process |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Functional equation; vertex graph; conjugacy; iterative cycle |
| Description | The article was created on the basis of the research oriented at innovation of methods, content and forms of mathematics teaching at secondary shools and universities. The aim of the article is to show how it is possible to introduce to students the problem of functional equations and the study of orbital structures of real function connected with them. The basic example is taken from a set of examples for the maturita exam,the generalisation of which leads to studying cycles of real functions and solving the problem of their conjugacy. Some of the problems shown in the article can be solved with the help of the computer programs, which can be used as the motivation for introducing programs MAPLE, DERIVE etc |