METHODICAL ASPECTS OF TRAINING OF STUDENTS SOLVING PROBLEMS IN MATHEMATICAL ENVIRONMENTS

In the article the use of the computer environments Mathcad and Maple for the decision of different mathematical tasks is considered. Mathcad has an exceptional simplicity of the interface, which made it one of the most popular mathematical package among students.Mathematical expressions are presented on the computer screen in standard and familiar notation - they have the same form as in the book, on the laptop, on the board.With them it is possible to execute numerical or character operations, to build diagrams, etc. The Maple system in a conversational mode solves huge number of mathematical problems from simple calculations and numerical modeling before the most difficult analytical conversions and computation. It has powerful graphic tools, the built-in programming language, is the reference manual according to almost all sections of the modern mathematics. Mathcad and Maple are the environments for all. In them there is a STUDENT packet for students, there are packets of narrow assignment for professional mathematicians. These computer mathematics systems provide the user with an extensive set of tools for implementing graphical, analytical and numerical methods for solving mathematical problems. By executing routine or unwieldy optional operations, packages allow you to learn, without mastering the entire technique of mathematical transformations, independently perform cumbersome calculations, solve information examples and acquire stable skills in solving all-mathematical and applied problems. Advantages of the mathematical environments Mathcad and Maple are considered, features of their interfaces are described, and the simplicity which made these mathematical packets the most popular among students is marked. Decisions of mathematical tasks by means of the computer environments Mathcad and Maple are provided: solution of the Diophantine equations, quadratic equations and cubic equations. It is useful for student to have near at hand handbooks or manuals on the specified systems. At students existence at least of primary skills of operation in these systems, in particular, ability to edit and format diagrams, formulas, results of computation is supposed. Functions will be the main object in operation. The aim of the article is a comparative analysis of the capabilities of the metamathematical media Mathcad and Maple, as well as the solution of various mathematical problems using these media. The objectives of the research are: a comparative analysis of the capabilities of the Mathcad interface and the Maple interface; solution with the help of the indicated mathematical media of quadratic equations; solution with the help of the indicated mathematical media of cubic equations; solution with the help of the indicated mathematical media of Diophantine equations. Research methods: theoretical analysis of research problems; mathematical modeling of real processes and phenomena; analysis; synthesis. The results of the research: suggested methodical recommendations on the use of mathematical environments Mathcad and Maple for solving mathematical problems and problems of reality.

Mathcad interface, Maple interface, quadratic equations, cubic equations, Diophantine equations, solution of the equations

1. Васильев А.Н. Maple 8. Самоучитель [Текст] / А. Н. Васильев.- М.: Издательский дом «Вильямс», 2003.- 352 с.

2. Васильков Ю.В. Компьютерные технологии вычислений в математическом моделировании [Текст] / Ю. В. Васильков, Н. Н.Василькова. - М.: Финансы и статистика, 1999. - 256 с.

3. Виленкин Н.Я. Метод последовательных приближений [Текст] / Н. Я. Виленкин. - М.: Наука, 1968. - 108 с.

4. Гиндикин С.Г. Рассказы о физиках и математиках [Текст] / С. Г. Гиндикин. - М.: Наука, 1981. - 192 с.

5. Далингер В.А. Задачи в целых числах: учебное пособие [Текст] / В. А. Далингер. - М.: Илекса, 2013. - 112 с.

6. Далингер В.А. Сборник прикладных задач на экстремум: учебное пособие [Текст] / В. А. Далингер, С. Д Симонженков. - Омск.: ООО ИПЦ «Сфера», 2007. - 60 с.

7. Далингер В.А. Информатика и математика. Решение уравнений и оптимизация в mathcad и maple: учебник и практикум для прикладного бакалавриата [Текст] / В. А. Далингер, С. Д Симонженков.- 2-е изд., испр. и доп.- М.: Изд-во Юрайт,2017.- 161 с.

8. Дьяконов В.П. Mathcad 8/2000: специальный справочник [Текст] / В. П. Дьяконов. - СПб.: Издательство «Питер», 2000. - 592 с.

9. Дьяконов В.П. Maple 6: учебный курс [Текст] / / В. П. Дьяконов. - СПб.: «Питер», 2001.- 608 с.

10. Замков О.О. и др. Математические методы в экономике [Текст] / О. О. Замков. - М.: Издательство «Дело и Сервис», 2001. -368 с.

11. Тихонов А. Н. Рассказы о прикладной математике [Текст] / А. Н. Тихонов, Д. П. Костомаров. - М.: Наука, 1979. - 208 с.

12. Рагулина М. И. Информационные технологии в математике [Текст] / М. И. Рагулина;под ред. М. П. Лапчика. - М.: «Академия», 2008. - 304 с.