About modern teaching of mathematics at a technical university

The subject of the article is the formation of fundamental mathematical knowledge among future technical specialists. The object of the article: a mathematical performance management system aimed at evidence-based and fundamental knowledge. The purpose of the work is to substantiate the immanence of intellectual development and the fundamental nature of the education of future technical specialists, their importance in the educational process. Methodology of the work: search for a set of theoretical and methodological approaches, on the basis of which the principles of continuity, evidence and fundamentality are determined by future specialists of technical areas of training. The results of the work indicate an increase in the level of development of intellectual consciousness among future technical specialists. The field of application of the results is practical pedagogical activity, which forms the practical and applied significance of the subject. It is advisable to form a systematic, consistent and critical thinking with the help of a personalized pedagogical technology that has a reflexive educational function. An important aspect of mathematical training is the principles of interdisciplinarity and continuity. Conclusion: the formation of systematic, consistent, critical thinking of future technical specialists contributes to the generation of an educational result in the process of training highly qualified engineers.