ON SOME THEORETICAL ASPECTS OF THE APPLIED ORIENTATION OF TEACHING STUDENTS IN HIGHER MATHEMATICS
It is well known that a significant role in the formation of professional competencies among students of technical specialties belongs to mathematics. However, in modern university teaching of higher mathematics there is a significant drawback - this is a weak reflection of the applied orientation in the study of its sections. At the practical lessons students have to solve the most impractical abstract tasks, which, as they think, will never be needed anywhere. To eliminate such misconceptions, it is advisable to use every opportunity to show that the abstract problem always has a connection with the applied one. This paper is devoted to the study theoretical aspects of this important problem - applied orientation of teaching higher mathematics. The article presents main positions that determine the role of applied orientation in the formation of cognitive interest among students and implementation of intersubject communications. The ways of implementing applied orientation of higher mathematics teaching at the university are revealed. The processes and components of mathematical modeling are distinguished, its didactic functions in the educational process are formulated. Based on the theoretical aspects of the applied orientation of teaching mathematics considered in the article, a further mathematics course for students of technical specialties of the Samara State Transport University branch in Nizhny Novgorod was developed and implemented. A feature of this course is the use of mathematical modeling elements in the first year, which enhances students' interest in this subject.