Interdisciplinary Aspects of Development and Software Implementation of Electronic Textbooks for Students of Technical Universities

The emergence of electronic textbooks as a means of teaching in the real educational process of the school and university necessitates scientific research in the field of their design and application. These scientific researches, which are currently conducted in didactics, psychology, information technology, computational mathematics, are inherently polydisciplinary, since didactic problems are solved by means of other scientific directions. At the same time, there are all prerequisites for conducting interdisciplinary research, the subject of which can be an electronic textbook. The purpose of this article is to substantiate the need for interdisciplinary research in the field of building electronic textbooks. In the main part of the work, the specific mathematical algorithms implemented in practice in the programming of the e-textbooks of the learning management system of the Moscow Aviation Institute are described. New mathematical approaches to designing an electronic textbook, in particular, a graph-oriented approach, are proposed. The model of forming a time-limited test is considered, where the weighted convolution of the normalized values is carried out by an optimization criterion: deviations of the test complexity from a given level and quantiles of the test execution time. The modern software technologies are used in the development of mathematical algorithmic module. In conclusion, we described the effectiveness of the joint research of specialists from different scientific fields, which has been confirmed by the practical implementation of this project.