The article suggests four types of tasks for cognitive-search classroom students' independent work on the subject "Methods of fractal analysis". The authors presented simple and complex variants of each tasks, showed relationship of tasks with general cultural and professional competences of bachelor degree program (221700.62).

Институт машиноведения РАН, г. Москва Кандидат технических наук Старший научный сотрудник лаборатории механики термоциклического разрушения Телефон: (909) 969 78 02 Хасьянова Динара Усмановна Институт машиноведения РАН, г. Москва Кандидат технических наук Старший научный сотрудник лаборатории узлов трения для экстремальных условий Телефон: (903) 556 17 60

The research of the determination of the fractal characteristics of the surface of a material proposes the use of a stationary profilograph and a computer program for calculating the Hurst exponent. The low accuracy of fractal analysis using the well-known computer program Fractan is revealed. A computer program developed in VBA for the fractal analysis of the time series is described. The high accuracy of the algorithms for calculating the Hurst exponent incorporated in this program is shown.

An algorithm for determining the quality level of gas forming technology in the superplasticity mode of the material at the debugging stage is Developed. Proposed management measures to improve the new technology, which can help reduce the percentage of defects in the production of parts.

In the article on the example of the 1201 alloy, is proposed a new approach for the description and evaluation of stochastically generated surfaces, based on fractal analysis. The results of investigation of the interrelation between the numerical values of the fractal dimension and the parameters of the technology of the dimensional electrochemical machining are presented.