The introduction of new high technology in the development of the oil and gas complex significantly increases the requirements in the field of basic sciences for graduates of higher educational institutions of engineering profile. Therefore, consideration of a set of professionally oriented tasks in a mathematics course should not only establish connections with special disciplines and illustrate the effectiveness of mathematical methods, but also accumulate mathematical knowledge into a single whole, and correspond to the process of forming the basic personality characteristics of a future engineer. In this regard, this article is aimed at revealing the creative activity of students in teaching mathematics in the study and solution of professionally oriented problems and examples are given. To solve the tasks, the following methods were used: theoretical (analysis of psychological, pedagogical, scientific, methodological, scientific and technical literature on the problem of research); empirical (observation of students 'activities in the educational process; analysis of students' independent, control work; questionnaires); statistical (processing the results of a pedagogical experiment, their quantitative and qualitative analysis). The selection criteria and the functions of the POP in teaching mathematics of future engineers as a means of promoting the formation of students' creative activity have been developed and justified. The main stages, conditions and means of research and solutions of the postgraduate study have been identified in order to form students' creative activity. The materials presented in the article make it possible to develop and justify models and pedagogical conditions for the formation of creative activity of future engineers, to use in practice the methods of selection and research of postgraduate courses in teaching mathematics students of engineering specialties; The above technology helps to determine the features of the formation of creative activity of future engineers in solving the POT (professionally oriented tasks) in the study of technical processes and real phenomena as a means of integrating mathematical knowledge.