Математичне моделювання в контексті здійснення між предметних зв’язків курсу вищої математики у ВНЗ

Abstract

The article analyzes the conceptual ideas of the method of mathematical modeling in the context of the implementation of interdisciplinary connections of the higher mathematics course in higher education. It is determined that from the point of view of the competence-oriented approach to the organization of the educational process in technical universities it is necessary to pay more attention to the interdisciplinary connections of the course of higher mathematics with special disciplines and disciplines of the natural-mathematical cycle. The implementation of interdisciplinary connections during the study of higher mathematics is proposed primarily by creating a stock of mathematical models that describe the phenomena and processes studied in various subjects. The main analytical methods for studying mathematical models were studied in the course of higher mathematics, in particular in such sections as mathematical analysis, linear algebra, differential equations, and probability theory. Among them are the methods of differentiation, integration and study of functions, methods of Gauss and Kramer solving systems of linear algebraic equations, analytical methods of solving and qualitative methods for the analysis of ordinary differential equations and their systems, etc. The author proposes examples of higher mathematical problems, which are solved by the method of mathematical modeling, which in turn provides interdisciplinary connections of higher mathematics with physics, chemistry and economics. It is established that mathematical modeling in the process of learning is an important tool: formation of new knowledge and creative abilities of students; effective assimilation of new material, systematization and visualization of knowledge, awareness and fixing of the essential properties and connections of investigated objects and phenomena, the formation of professional skills, the development of independent student activity.