Tatyana Boldovskaya

The paper analyzes the textbooks used at Mathematics lessons at technical universities to reveal problems and exercises of applied nature. The analyses is implemented on the example of the section "Definite integral and its applications". The authors singles out the main types of tasks that, according to the authors, should be included in textbooks and problem books on mathematics, aimed at students of technical specialties.

The paper deals with the problem of self-organization of bachelor and master students at technical universities. Taking into account the requirements of the two-level education, authors developed a set of tools for independent work of students: a manual on mathematical statistics with controlling materials and workbook with a printed base. Аuthors describe structure and content of methodical manuals choice.

The paper deals with information and computer competence of university teachers and its component parts. The authors reveal the modern means of training in this area available to the teacher.

Engineering education plays a key role in modern conditions of development of science and technology. It is necessary to implement a new technological breakthrough in the field of fundamental problems of engineering sciences, which in turn can be provided by preparation of highly qualified specialists in the field of engineering, capable to work out in professional sphere in the conditions of the development of new technologies and computerization; the development of new learning technologies based on fundamental basic knowledge and innovative approaches. The study, described and implemented by the authors, is development of new principles and methods of preparation of qualified engineers, with profound understanding of mathematics and its application opportunities in the engineering sciences: engineering, architecture and construction.