Analysis of the results of research by domestic and foreign authors, the data of the experimental study revealed the problems of the formation of interdisciplinary knowledge among students, the ability to compile mathematical models of real phenomena. The solution of this problem in matters of student education remains especially relevant. The main reason for this problem is the narrow specialization of school teachers.

The purpose of this study is to develop a methodology for teaching students to compile differential models, the formation of interdisciplinary knowledge, and the design of interdisciplinary educational materials for the developed integrated discipline "Differential Equations in Applied Problems".

The methodological basis of this article was formed by approaches to the formation of interdisciplinary knowledge, algorithmic and integrated teaching methods, and the problems of developing integrated teaching materials for natural science disciplines.  These approaches made it possible to determine the direction of our research, to conclude that students have no interdisciplinary knowledge, skills to create mathematical models, to make sure that it is necessary to develop an algorithm for compiling differential models.

In the course of the study, the following methods were applied: theoretical (analysis of the results of research by foreign and domestic authors, the experience of teachers); empirical (questionnaires, tests); mathematical interpretation of experimental data.

The article presents the following results of the study: the examples show the methodology for identifying internal links between concepts from different natural science disciplines that create conditions for the formation of interdisciplinary knowledge; a system of classes was designed to provide an applied orientation of the content of the integrated educational material; an algorithm for compiling differential models has been created, which facilitates the process of assimilation of the corresponding educational material.

The scientific novelty of this article lies in the development of a methodology for teaching students to compile differential models, in the compilation of integrated educational materials from various areas of natural science knowledge, in an interconnected approach to the formation of interdisciplinary knowledge and thinking skills.

Conclusions and recommendations: A methodology for teaching students to compile differential models was proposed, a system of classes was developed, an algorithmic approach was proposed in the formation of interdisciplinary knowledge. The final experimental study proved the effectiveness of the proposed methodology for teaching students how to compose differential equations, its applicability in the formation of interdisciplinary knowledge and teaching students how to compose differential models. The results obtained contribute to the improvement of the quality of the developed integrated disciplines.

Keywords: student learning, interdisciplinary knowledge, differential models, system of classes, integrated discipline, model development.