February 2025, № 1 (245), pages 74-81

doi: 10.25198/1814-6457-245-74

Gerasimenko S.A., Pavlenko A.N. THE TOPIC “CAUCHY PROBLEM” IN UNDERGRADUATE ENGINEERING FULL-TIME AND PART-TIME EDUCATIONReforming higher education naturally leads to a reduction in the share of classroom studies, which negatively affects the study of disciplines in the mathematical cycle. Thus, there is a need to strengthen the role of independent work of students. It is possible to increase the effectiveness of independent work by using interdisciplinary links with specialized disciplines. For studying the topic “Cauchy Problem for First-Order ODE” by students of engineering programs in full-time and part-time education, we propose a new applied approach, during which the concept of the Cauchy problem is naturally introduced, the meaning of its initial condition is revealed and the main requirements for the problem under consideration and its solution are substantiated. The proposed approach should include a number of necessary stages. To increase the effectiveness of independent work, it is advisable to use the appropriate methodological support. Depending on the direction, it is possible to use methodological instructions, interactive methodological instructions integrated with video files, applications written in various high-level languages, etc. Thus, the study of the topic “Cauchy Problem for First-Order ODE” by students of engineering directions of disciplines should take place in an inseparable unity with the main disciplines of the direction and with the history of engineering and mathematics with the wide application of information technologies.Key words: cauchy problem, ordinary differential equation, applied approach to learning, independent work, information technology, methodology of teaching mathematics in higher education.

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About this article

Authors: Gerasimenko S.A., Pavlenko A.N.

Year: 2025

doi: 10.25198/1814-6457-245-74

Editor-in-chief

Sergey Aleksandrovich
MIROSHNIKOV

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