The article deals with the methodology of management of independent work of students in the blended learning framework based on a virtual educational environment, which is a component of the electronic information and educational environment of the University. Particular attention is paid to the requirements for interactive software products that form the basis virtual of the learning environment: the requirements of convenience, accessibility, didactic efficiency, and tools for their development.

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This article analyzes the capabilities of the Wolfram Mathematica computer system, examines the feasibility of using its tools in the study of mathematical disciplines. The authors propose and demonstrate by examples a methodology for building a training course based on the integration of the methods of the discipline being studied and their implementation in the Mathematica environment. The paper explores the practical significance of including the Mathematica toolkit in the training course, which makes it possible to mathematically model various processes in modern society, demonstrate the solution of mathematically complex problems using the built-in functions of the package, as well as provide visualization of analytically obtained solutions.

The article is devoted to a topical problem of modern educationthe development of electronic textbooks, designed for all forms of education: full-time, distance and open education, and the basic requirements to them. The article analyzes the components of the electronic textbook and methods to improve its efficiency. The structure, design and interface of electronic «Mathematical Analysis» textbook and the possibility of its use in all forms of education are demonstrated as an example.