Abstract
The article considers the main problems characteristic of mathematical education in higher technical institutions. The purposes and tasks of training of higher and applied mathematics of students of technical specialties, and also separate features of training of students of an electromechanical direction to mathematical disciplines are covered.
 Achieving the current goal of modernization of mathematics education in technical universities is associated with the solution of a number of pedagogical issues. The problem is the systematic and comprehensive reform of mathematics education in accordance with current trends in both production and education. The content of mathematical education needs to be changed, in particular: curricula and study programs, the level of educational material, methods, teaching technologies, procedures for diagnosing the quality of teaching. Curricula of specialties should contain mathematical disciplines, which include special mathematical sections that allow to provide quality training of professionally oriented disciplines and allow to form mathematical competence as part of the professional competence of the future professional. The solution of the problem of formation of mathematical competence as a part of professional competence of graduates of technical universities becomes actual. This necessitates the strengthening of the professional orientation of the content of teaching mathematics, the intensification of the activity approach in learning technologies, the importance of the formation of appropriate value orientations of students. Actualization of students' activities strengthens the role of such educational technologies as multilevel learning, independent work of students, computer technology, project activities. Thus, additional mechanisms are created for the systematic acquisition of knowledge and skills by students, for the systematic control of the formation of mathematical competencies, for a differentiated approach to learning.
 To improve the quality of mathematical education of students of technical universities it is necessary to pay attention to the construction of mathematical models of real production problems and methods of their solution. The use of mathematical modeling methods leads to the need for a deeper study of the relevant sections of mathematics. This approach changes the structure of training, gives the opportunity to use more independently the independent work of students. At the same time, students' knowledge will be deeper and stronger.
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