Abstract
The paper discusses the integrative method of studying the mathematical disciplines; observes the implementation of new technologies of knowledge acquisition developing the integral approach to the content and modes of professional activity. The authors regard the integration as the combination of the theory, skills and practical activities at all levels of specialists training. The integrative approach makes it possible to concentrate on the essence of the teaching materials and avoid the content repetition in different engineering and technical disciplines. In studying the theo- retical construction basics, the key role belongs to mathematics. As the result, the authors designed the method of achieving the professional competence based on the integrative course of Mathematics and Computer Technology Studies with the aim of mastering the engineering skills and abilities of solving practical problems. The special emphasis is on the laboratory work conducted by applying the information technologies, which allows the students to absorb in practice the theoretical scientific concepts of the discipline, the experimental techniques of the relating industry and use the acquired knowledge in solving both the educational research problems and later on the actual industrial ones –which means combining the theory and practice. The given method is exemplified by the laboratory work on Operations with Matrix. The implementation of the proposed laboratory-computer practicum enhances the level of mathematical knowledge, facilitates the development of the new integrative way of thinking and reinforces the motivation of mathematical studies.