Active methods of training in the Maple computer mathematics system

Authors

  • Анатолий Леонидович Литвинов Ukrainian Engineering Pedagogics Academy, 16, street Universitetskaya, Kharkov, Ukraine, 61003, Ukraine

DOI:

https://doi.org/10.15587/2312-8372.2014.21702

Keywords:

Maple, knowledge control, cryptography, secret key, prime number, virtual laboratory, the Gibbs effect, process

Abstract

The results of using the Maple computer mathematics system at different stages of a training process are given. One of the routine tasks, faced by teachers, is the accuracy control of completing practical assignments. The task gets more complicated if the solution consists of several stages. Each stage requires sophisticated mathematical transformations, and benchmark data regarding variants must be changed periodically. In the paper, it is suggested applying the Maple system tables. Matrices, procedures for solving equations and graphs can be inserted into the Maple table cells. It allows developing full-featured automated computing systems and monitoring the accuracy of carrying out each stage. In such subjects, like cryptography, it is necessary to perform precise computations with a great scale of whole numbers. The effectiveness of the Maple system when solving the cryptography problem concerning a private key formation over an open channel of communication is showed in the paper. Also, the examples of employing the Maple system as a virtual laboratory are given in the paper. Thus, using the Maple system at different stages of a training process showed its effectiveness as an active educational medium, which allow improving the quality of training.

Author Biography

Анатолий Леонидович Литвинов, Ukrainian Engineering Pedagogics Academy, 16, street Universitetskaya, Kharkov, Ukraine, 61003

Doctor of engineering, Professor, Head of the department of Radio Electronics and Computer Systems

References

  1. Алексеев, Е. Р. Решение задач вычислительной математики в пакетах Mathcad 12, MATLAB 7, Maple 9 [Текст] / Е. Р. Алексеев, О. В. Чеснокова. – М.: НТ Пресс, 2006. – 496 с.
  2. Говорухин, В. Н. Введение в Maple. Математический пакет для всех [Текст] / В. Н. Говорухин, В. Г. Цибулин. – М.: Мир, 1997. – 208 с.
  3. Дьяконов, В. П. Maple 10/11/12/13/14 в математических расчетах [Текст] / В. П. Дьяконов. – М.: ДМК-Пресс, 2011. – 800 с.
  4. Литвинов, А. Л. Компьютерное моделирование в экономике [Текст]: учеб. пособ. / А. Л. Литвинов. – Белгород: Изд-во БелГУ, 2004. – 108 с.
  5. Литвинов, А. Л. Математичні методи та моделі в розрахунках на ЕОМ. Система Maple та її використання для моделювання техніко-економічних систем [Текст]: навч. посіб. / А. Л. Литвинов. – Харків: УІПА, 2004. – 103 с.
  6. Четыркин, Е. М. Финансовая математика [Текст]: учебник / Е. М. Четыркин. – М.: Дело, 2004. – 400 с.
  7. Баричев, С. Г. Основы современной криптографии [Текст] / С. Г. Баричев, В. В. Гончаров, Р. Е. Серов. – М.: Горячая линия - Телеком, 2002. – 175 с.
  8. Венбо Мао. Современная криптография: теория и практика [Текст] / Мао Венбо. – М.: Издательский дом "Вильяме", 2005. – 768 с.
  9. Ope, О. Приглашение в теорию чисел [Текст] / О. Ope. – М.: Наука, 1980. – 128 с.
  10. Бондарев, В. М. Основы программирования [Текст] / В. М. Бондарев, В. И. Рублинецкий, Е. Г. Качко. – Харьков: Фолио, 1997. – 368 с.
  11. Alekseev, E. R., Chesnokova, O. V. (2006). Reshenie zadach vychislitel'noi matematiki v paketah Mathcad 12, MATLAB 7, Maple 9. M.: NT Press, 496.
  12. Govoruhin, V. N., Tsibulin, V. G. (1997). Vvedenie v Maple. Matematicheskii paket dljа vseh. M.: Mir, 208.
  13. D'jаkonov, V. P. (2011). Maple 10/11/12/13/14 v matematicheskih raschetah. M.: DMK-Press, 800.
  14. Litvinov, A. L. (2004). Komp'yuternoe modelirovanie v еkonomike. Belgorod: Izd-vo BelGU, 108.
  15. Litvinov, A. L. (2004). Matematichnі metodi ta modelі v rozrahunkah na EOM. Sistema Maple ta ii vikoristannjа dljа modelyuvannjа tehnіko-ekonomіchnih sistem. Harkіv: UІPA, 103.
  16. Chetyrkin, E. M. (2004). Finansovajа matematika. M.: Delo, 400.
  17. Barichev, S. G., Goncharov, V. V., Serov, R. E. (2002). Osnovy sovremennoi kriptografii. M.: Gorjаcёhajа linijа - Telekom, 175.
  18. Venbo Mao. (2005). Sovremennajа kriptografijа: teorijа i praktika. M.: Izdatelskiy dom "Viljаme", 768.
  19. Bondarev, V. M., Rublineckii, V. I., Kachko, E. G. (1997). Osnovy programmirovanijа. Kharkov: Folio, 368.
  20. Ope, O. (1980). Priglashenie v teoriyu chisel. M.: Nauka, 128.

Downloads

Published

2014-02-06

How to Cite

Литвинов, А. Л. (2014). Active methods of training in the Maple computer mathematics system. Technology Audit and Production Reserves, 1(4(15), 38–40. https://doi.org/10.15587/2312-8372.2014.21702

Issue

Vol. 1 No. 4(15) (2014): Quality of technologies - quality of life for

Section

Quality in еducation

License

Copyright (c) 2016 Анатолий Леонидович Литвинов

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.