Abstract and keywords
Abstract (English):
The need to improve the level of mathematical in particular geometric training of students of technical universities is due to modern technologies of computer-aided design. They are based on mathematical models of designed products, technological processes, etc., taking into account a large variety of source data. Therefore, from the first years of technical universities, when studying the cycle of mathematical disciplines, it is advisable to interpret a number of issues in terms and concepts of multidimensional geometry. At the same time, the combination of constructive (graphical) algorithms for solving problems in descriptive geometry with analytical algorithms in linear algebra and matanalysis allows us to summarize their advantages: the constructive approach provides the imagery inherent in engineering thinking, and the analytical approach provides the final result. The article shows the effectiveness of combining constructive and analytical algorithms for solving problems involving linear and nonlinear forms of many variables using specific examples.

Keywords:
descriptive geometry, linear algebra, multidimensional forms - linear and nonlinear, constructive and analytical solutions, geometric model
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References

1. Ivanov G. S. Engineering geometry - theoretical basis for building geometric models. [Text] / G. S. Ivanov, V. I. Seregin-Collection of articles of the international scientific and practical conference "Innovative development of modern science", part 3, p. 339-346, Ufa, RITS Bashgu, 2014.

2. Ivanov G. S. Prehistory and prerequisites for the transformation of descriptive geometry into engineering [Text] //. "Geometry and graphics", Moscow, 2016. Vol. 4 issue 2, p. 29-36. DOI: 10.12737 / 19830

3. Dmitrieva I. M. Motivational component of improving geometric literacy of students of technical universities [Text] /I. M. Dmitrieva, G. S. Ivanov. - Materials of the VIII International scientific and practical Internet conference "Problems of the quality of graphic training of students in technical universities: traditions and innovations". Perm, 2019. Pp. 236-240.

4. Borovikov I. F. Geometric modeling of technical surfaces with variable cross-sections based on birational transformations [Text] / / I. F. Borovikov, G. S. Ivanov, D. V. Beskrovny "scientific review", 2018, No. 1-2, pp. 34-38.

5. Moskalenko V. O. How to provide General geometric training of students of technical universities [Text]// V. O. Moskalenko, G. S. Ivanov, K. A. Muravev // "Science and education", 2012, No. 8. http: technomag.edu.ru/doc/445140.html

6. Ivanov G. S. Competence approach to the content of the course of descriptive geometry [Text] G. S. Ivanov / / "Geometry and graphics", Moscow, 2013, vol. 1, issue 2, p. 3-5.

7. Borovikov I. F. New approaches to teaching descriptive geometry in the conditions of using information educational technologies [Text] I. F. Borovikov, G. S. Ivanov, V. I. Seregin, N. G. Surkov // "Engineering Bulletin", no.12, December 2014.

8. Ivanov G. S. Descriptive geometry [Text] / G. S. Ivanov -M.: FGBOU VPO MGUL, 2012. - 340 p.

9. Mishchenko A.S., Fomenko A.T. Course of differential geometry and topology [Textbook] / A. S. Mishchenko, A.T.Fomenko. -M.: Editorial URSS, 2020, 504 p.

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