In this work,？the mathematical competence of a future technical specialist is understood as the ability to use their mathematical knowledge in solving practical and theoretical problems that arise in their professional activities, expressing both fundamental mathematical knowledge and unified personal knowledge based on practical skills. The article goals, objectives, content, forms and methods are an integral system aimed at the formation of mathematical competence in University students, determined by the professional and creative training of future specialists. The analysis of ways to achieve the quality of mathematical training, in particular, ways to form mathematical competencies, taking into account the evolution of second-？and third-generation standards, shows that these ways have changed significantly. The concept of competence includes a person’s possession of appropriate competence, attitude to the subject of activity. Several researchers noted that concept of competence is close？to the concept of readiness. Source competence is a set of general methods of action that allow a person to understand the situation, achieve results in personal and professional life in the context of specific professional and social partnerships. Preparation is a complex psychological structure in addition to the necessary knowledge, skills, abilities, and adequate requirements.
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