Currently, the main trends in higher education reform naturally lead to a significant reduction in the proportion of classroom lessons in the educational process, which has an extremely negative effect on the study of mathematical cycle disciplines due to their abstraction and often cumbersome presentation of the material. Thus, there is a need of increasing the effectiveness of contact work and strengthening the role of independent work of students. The above mentioned is also typical when studying the section “Analytical Geometry” in engineering bachelor courses, especially in full-time and correspondence studies. In order to increase the effectiveness of learning this section, a new applied approach to the study of analytical geometry in engineering bachelor courses in full-time and correspondence education is proposed, consisting in 1) consideration of the main tasks of analytical geometry based on natural science and technical specifications that arouse the interest of students and the relevance of which is beyond doubt, 2) the use of interdisciplinary connections with special disciplines, as well as with the history of natural science and technology, 3) moving the study of a significant part of the section “Analytical Geometry” to the independent work. To increase the effectiveness of the use of the considered approach, it is advisable to use relevant methodological support. As the latter, it is appropriate to use textbooks, collections of tasks and individual tasks, posters and 3d models, interactive guidelines integrated with applications written in high-level languages, generators of typical problems, etc.
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