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The monograph highlights the results of the scientific topic "Theoretical and practical aspects of the use of mathematical methods and information technology in education and science" (registration number 0116U004625) by the Department of Computer Science and Mathematics, Faculty of Information Technology and Management, Borys Hrinchenko University of Kyiv (deadline: March 2016 - March 2021). The main scientific and practical results in the following areas are presented: mathematical and computer modeling, hardware and software of automated control systems, application of digital technologies in the educational process. For scientific and pedagogical, scientific and pedagogical workers who are interested in modern problems of application of mathematical methods and digital technologies in education and science.