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Registration Number

0219U004789, R & D reports

Title

Mathematical modeling in production and economy. New methods of teaching mathematics.

Head

Kholkin Aleksandr Mikhaylovich,

Registration Date

07-11-2019

Organization

State Higher Educational Institution "Pryazovskyi State Technical University"

Description

The object of research - analytical and numerical methods, mathematical and computer simulation, teaching methods for mathematics and students' knowledge testing. The purpose - description of physical and economic processes, improvement of analytical and numerical methods. Development and improvement of teaching methods of mathematics and testing systems. The research methods - analytical and numerical simulation. Development and improvement of teaching methods. It is proved Parseval's equation for the differential operator with a block-triangular operator potential. It was researched the using of aerodynamics simulation software for urban developments in the educational process. It was obtained new cases of solving Levner-Kufarev equation in quadratures which can be applied to construct domains of nonlinear functional values. It was offered the method of formation of students' reflexive activity while studying mathematical disciplines. It was obtained the correlation between the reliability of the multi-channel queuing system and the operation cost. It was determined the conditions at which the boundary effects of the combination of two materials can be clearly expressed. It was proposed the computer program for visualization of assimilation process for sociums by using cellular automata. The part of the higher mathematics course in the MOODLE program has been developed. It was investigated the connection between the quality of students' mathematical background and the using of the Moodle system. It was explored the formation process of students' ability to analyze various factors under using professional mathematical packages. It was extended the method of Boltzmann's lattice equations for the case of moderate and large Reynolds numbers.

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