One of the fundamental tasks of the strategy of the development of education is the formation of a competitive personality, capable of creatively and independently solving the problems arising in various spheres of personal and professional activity. The article shows that even with a sufficiently high level of organization of independent work, traditional training does not provide the expected quality of training of a competitive graduate of the university. Characteristics of the peculiarities of independent work in the framework of using the electronic educational course in the educational process, key indicators of the electronic learning environment are given. The paper presents the experience of organizing independent work as a condition for the formation of a competitive specialist using the modified educational platform LMS Moodle, which allows designing remote electronic training courses for open resource access. As an example, an electronic course on the discipline “Management and Marketing in Vocational Education” for training bachelors in the direction 44.03.04. Vocational training (by industry) is presented. Theoretically, it was revealed and experimentally proved that the electronic training courses developed on the basis of LMS Moodle significantly expand the possibilities for effective organization of independent work, increase the level of competitiveness of students of a modern university. The role and importance of various elements of the electronic educational environment are related: test tasks, glossary, questionnaires, lectures, seminars, wiki, databases, etc., while organizing an independent work of a competitive university student. A sufficiently high level of interactive learning in the electronic environment of LMS Moodle provides a variety of ways and forms of presentation of teaching materials, the possibility of modular structuring of course’s content, the creation of a personal-oriented educational route, comfort and confidentiality of training contribute to a significant increase in the level of competitiveness formation, activation of students' independent work.