Abstract
The article proposes a methodological construction of a course of differential equations aimed at forming a holistic picture of the student’s world. Its features and differences in comparison with the classical university course are revealed. The questions about the selection of the content, the choice of methods and means of solving differential equations, the construction of a diagnostic apparatus aresolved The provisions of the system-activity approach, theoretical statements of practice-oriented learning, methods and techniques of mathematical modeling are implemented.
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