Theoretical aspects of the method of teaching higher mathematics using the computer program Maple for students of technical universities

Problem statement. The article discusses theoretical aspects of building a methodological system for teaching higher mathematics using the Maple computer system for students of technical universities. The mathematical functionality possessed by this system makes it possible to expand the capabilities of the software used and, due to special clarity, increase the efficiency of learning the material. Very often, various means of improving the effectiveness of teaching are used in the framework of mathematical training, but computer systems are rarely applied in pedagogical practice. Methodology. In the course of the study, evaluation of the results of educational process in a technical university, where higher mathematics is taught using the Maple computer system, was carried out. Results. Experience of implementing the approaches described in the article has shown that the use of various components of the Maple computer system attracts attention of skilled teachers who are interested in possibilities of using this system to improve the learning process within the framework of educational programs and solving practical problems of an industrial and technical nature. This indicates the rationality and appropriateness of using the Maple computer program in technical universities of various profiles to improve the effectiveness of mathematical education. Conclusion. The conducted research allowed us to develop ways to optimally use the Maple program for mastering the main topics and sections of the higher mathematics course by students of engineering and technical universities. The implementation of the Maple computer program and computer modeling had a beneficial effect on the quality of education and the level of knowledge of students - future engineers, which in general had a positive impact on the effectiveness of their education for several years.