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The paper considers building of social and environmental competence of future technical specialists. It shows that health care competence building is becoming more pressing issue each year. Behavioral patterns are formed in the process of training, upbringing and observing people around. They allow forming the ability or readiness to use the acquired interdisciplinary knowledge in professional activities related to health, safety of human life, as well as in the process of studying such disciplines as the “Elective Courses on Physical Education and Sports” and “Physical Education and Sports”. The patterns offer the possibility to develop a behavioral socio-ecological algorithm efficiently. In pedagogy and didactic processes, mathematical modeling is aimed at clarifying phenomena that are not amenable to experiment or unobservable as well as patterns of education for the development of efficient teaching technologies. The paper considers mathematical descriptions of the models for formation, interaction and efficiency of various target groups exemplified by Nordic walking, indoor soccer and interdisciplinary teams. It shows the dependence of student group population on an activity and quantitative composition of potential participants of sports group. This mathematical model is also applicable for building socioecological competence of future technical specialists in the framework of participation in interdisciplinary projects, research activities, Olympiads, social and environmental events that contribute to the assimilation of socio-ecological patterns of behavior, the condition for the development of which is the unity of cognitive and practical activities in the process of studying at the university. The paper includes the interim experiment results.

The Application of Mathematical Modeling in Building of Social and Environmental Competence of Future Technical Specialists in the Health Care Area