Abstract
<jats:p>The study highlights the problem of developing creativity in future specialists in the G11 mechanical engineering specialties in the process of studying fundamental disciplines, namely higher mathematics. The views of scientists on the definition of the concept of «creativity» are analyzed and it is stated that creativity is a component of competence. Summarizing the above views on the concept of «creativity», the authors define the creativity of the future as an integrated quality of the personality, which is manifested in the ability to innovative technical thinking, generating new technical ideas, applying mathematical and natural science knowledge in non-standard situations, designing and improving technical objects taking into account modern trends in the development of science and technology. The potential of the discipline «Higher Mathematics» as a means of developing creativity is determined, methods and techniques that contribute to the activation of creative thinking in the process of mathematical training are considered. It is determined that for the development of students in higher mathematics classes, it is important to create a creative educational environment and characterize it. The authors have identified the structural components of creativity (motivational, cognitive, reflective) and characterized each component of the studied concept. We present systematized examples of tasks on the theme «Limits», specially designed to develop the creativity of students of mechanical engineering specialties.</jats:p>