МАТЕМАТИКА ЯК СКЛАДОВИЙ АСПЕКТ ЕКОНОМІЧНОГО РОЗВИТКУ УКРАЇНИ

Abstract

Providing growing economic needs is impossible without economic development. Economic development is associated with qualitative and structural changes in the economy, education, science, and culture. In accordance with the changes in society, the purpose of economic science also changes. There is a transition from observing the economy to influencing economic processes, their management, planning, forecasting, implementation of specific tasks at individual enterprises within certain terms in accordance with the general goals and interests of the national economy. The level of influence on economic phenomena varies from recommendations to specific methods of quantitative calculation, which provide an objective choice of an economic decision. Scientific management of economic processes can be carried out only on the basis of the application of precise mathematical methods in all spheres of the economy – from the distribution of minerals to the demand for consumer goods and household services, labor needs, planning of logistical tasks, etc. Therefore, the subject of the research is conducting mathematical modeling of an economic phenomenon, analysis of economic processes, using the methodology of economic-mathematical modeling and mathematical programming, with the aim of forecasting and studying one or another aspect of its development in the planning and management system, in information provision, in the possibility taking into account the dynamics of economic processes. The study of various economic phenomena with the help of economic-mathematical models, which are a simplified description and take into account the most significant and determining factors of the studied phenomenon, involves the use of mathematics for a formal description of the most significant relationships between economic variables and objects: conclusions can be obtained by the method of deduction, which are adequate for the object under study; methods of mathematics and statistics make it possible to obtain new knowledge about the researched object; the use of mathematical terminology allows you to accurately and compactly express the statements of economic theory, formulate its concepts and conclusions. The analysis of previous studies shows that the problems of organizing the teaching of mathematical disciplines in higher educational institutions, taking into account modern requirements, were taken care of by scientists: I.P. Vasylchenko, L.P. Husak, G.Ya. Dutka, T.V. Krylova, O.V. Levchuk, L.I. Nichugovska, V.A. Petruk et al. The need to build a holistic methodology for the introduction of higher mathematics, the theory of probabilities and mathematical statistics, mathematical modeling and optimization of economic processes is the key task of the article on the use of economic and mathematical models for the development and implementation of optimal projects for the development of the production and services market. Conclusion: to solve effectively a wide class of problems with appropriate solution methods, covering various problems of development and functioning of real economic systems, it is convenient to develop economic and mathematical models, which, in combination with powerful, high-speed computing equipment and modern software products, will make up decision-making support systems in various sectors of the economy.