THE ROLE AND PLACE OF MATHEMATICAL MODELS IN TEACHING STUDENTS TO SOLVE OPTIMIZATION PROBLEMS
The article reveals the role and place of mathematical models usage in training of economic specialties students in the solving the optimization problem with the purpose of development their level of economic thinking. The main goals of teaching mathematics include the formation of skills to build mathematical models of the simplest real phenomena, to investigate phenomena according to given models, to construct applications of models. One of the means of realizing this goal is the method of mathematical modeling. Mathematical modeling, in the narrow sense of the word, means a description in the form of equations and inequalities of real physical, chemical, technological, biological, economic and other processes. In order to use mathematical methods for analysis and synthesis of various processes, it is necessary to be able to describe these processes in the language of mathematics, that is, to describe them in the form of a system of equations and inequalities. When constructing a model, such thinking operations are used as analysis through synthesis, comparison, classification, generalization, which contribute to its development. Compiling a mathematical model, translating the task into the language of mathematics prepares students for modeling real processes and phenomena in their future professional activities. Mathematical modeling plays a special role in the economic and scientific field of activity.