The necessity of forming a project-technical competency of students in technical universities is due to the transition of the industrial areas to science-intensive technologies and the need for active involvement of professionals in their elaboration, implementation, and technical calculations. In this process, a key role should be given to a teacher of physical and mathematical disciplines, his readiness for the process of the students' project-technical competency formation in the study of these disciplines. In this regard, this article actualizes the problem of developing methodological support for professional development of physico-mathematical sciences teachers, contributing to their choice of optimal content and technologies for teaching mathematics and physics, aimed at forming the project-technical competency of technical university students. The article materials may be useful both for teachers of physico-mathematical disciplines, and for teacher education university students-future teachers of physico-mathematical disciplines.

The urgency of the problem under investigation is determined by the growing demand in the competent graduates in the field of technical training, who are ready to solve professional problems based on fundamental mathematical knowledge and practical skills, carrying out mathematical modeling of the studied processes and phenomena using mathematical application software packages. The article aims to study the theoretical and practical implementation of the methodic of the professionalmathematical competence forming of students in the field of technical training based on the integration of mathematics and computer science. The major approaches to the study of this problem are competence, integrative and activity to learning which let to identify trends in the development of professional qualities of the student's personality through the integration of various activities by the decision of professionally-oriented tasks, taking into account individual characteristics and needs of the personality at every stage of vocational education. The formation of the professional-mathematical competence of students in the field of technical training through the integration of mathematics and computer science is considered as a target and as a learning process. Its backbone core in the forming structure of professionally-mathematical competence of students in the field of technical training stands out the mathematical modeling. The didactic object of the integration is the exploration and decision of professionally oriented integrative tasks. The materials of the article may be useful for university teachers who give lessons on professional-mathematics courses for students in the field of technical training.

The research's relevance of the defined in the article problem is due to the fact that when the study of physical-mathematical disciplines the consolidation of the acquired knowledge occurs and the development of skills contribute to their using in manufacture problems' solving in the professional activities of the engineer. In this regard, this article is aimed at the development of modern requirements to the content selection of teaching physics and mathematics, aimed at the development of design and technical competence of technical University students. In the study of this problem the modular competency approach is set out, which allows on the base of the required competencies of future technical specialists to identify the following basic requirements for the selection of the content of teaching physics and mathematics: the disciplines' integrity and fundamentality, systematic and consistent presentation of educational material, problematic and innovativeness of their content, their interdisciplinary, professional orientation, orientation on the formation of logical thinking of students. The article can be useful in selecting and structuring the content of teaching physics and mathematics courses in high school, as well as in the future teachers' training of these disciplines.