Methodology for creating an electronic textbook on applied mathematics for economic specialties

A steady trend in recent decades has been the strengthening of the mathematical component in the training of specialists in various economic areas and profiles. This trend is growing due to the digitalization of the economy and the widespread introduction of artificial intelligence systems. This article analyzes a complex set of problems associated with the formation of mathematical competencies of graduates of economic universities when training personnel for the digital economy. The authors note that obtaining these competencies is associated both with issues of the quality of specialist training and with the career expectations of graduates. The mathematical cycle disciplines are basic in the training of economists and managers. Confident mastery of mathematical fundamentals allows a student to successfully master economic disciplines at undergraduate and graduate level, making him competitive in the labor market. Fundamental mathematical disciplines are not of a clearly applied economic nature, but at the same time many of the concepts and methods contained in them can be used in solving practical economic problems. This work is devoted to a description of the relevant sections of the basic mathematics course and a discussion of the creation of an electronic educational manual for the study of these economic applications. The study examines the implementation of the process of constructing a network version of an electronic textbook, identifies its structural components, and provides a justification for an integrated approach to its design. An algorithm for selecting and constructing the content of the manual is proposed, thesauri of the basic disciplines of the mathematical cycle are built, connections are established between them, as well as with thesauri of specialized disciplines, a semantic model of the manual is developed, presented in the form of a directed graph, which determines the topics of problems with economic content. The materials of this work can form the basis for the creation of electronic textbooks in various subject areas.