ON TEACHING THE COURSE “DIFFERENTIAL EQUATIONS” AT A TECHNICAL UNIVERSITY

Abstract

The article deals with issues of teaching mathematical disciplines at a technical university, dedicated to the development of education. They are applied to a mathematical discipline – the theory of ordinary differential singularities. This discipline has both a purely mathematical aspect and an applied one. It is shown which issues should be given priority when choosing this course at a technical university, particularly, which engineering sciences require the theory of ordinary differential properties, and which require a special equation in specific derivatives (equations of mathematical physics). The work emphasizes the need for a non-abstract study of mathematical theories, consideration of their applications to the consideration of technical disciplines. The question of the mandatory rigor of the mathematical presentation is discussed and some proposals are made on this issue, first of all, to the indicated infected course. Issues related to the computer educational process are investigated, such as the probability of presentation.