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Modelling and Data Analysis
2025. Vol. 15, no. 1, 168–209
doi:10.17759/mda.2025150110
ISSN: 2219-3758 / 2311-9454 (online)

Algebraic curves of lower order in the teaching of higher mathematics

3

Y.D. Kulanin, M.E. Stepanov

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Abstract

The article continues the cycle ([1] – [15]) of the authors' methodological developments. It discusses some problems related to ways to improve the culture of mathematical thinking of mathematics students. The main object of discussion is algebraic curves. The authors rely on the experience of working at the Faculty of Information Technology of MSUPE.

General Information

Keywords: higher education, methods of teaching mathematics, analytical geometry, mathematical analysis, variable, function, implicit function, inverse function, derivative, secant, tangent, polynomial, algebraic curve, second-order curves, families of curves, bundles, geometric transformations

Journal rubric: Method of Teaching

Article type: scientific article

DOI: https://doi.org/10.17759/mda.2025150110

Received: 10.12.2024

Accepted:

For citation: Kulanin Y.D., Stepanov M.E. Algebraic curves of lower order in the teaching of higher mathematics. Modelirovanie i analiz dannikh = Modelling and Data Analysis, 2025. Vol. 15, no. 1, pp. 168–209. DOI: 10.17759/mda.2025150110. (In Russ., аbstr. in Engl.)

References

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Information About the Authors

Yevgeny D. Kulanin, Candidate of Science (Physics and Matematics), Professor, Moscow State University of Psychology and Education, Moscow, Russian Federation, ORCID: https://orcid.org/0000-0001-6093-7012, e-mail: lucas03@mail.ru

Mikhail E. Stepanov, Candidate of Science (Education), Associate Professor, Department of Applied Mathematics, Faculty of Information Technologies, Moscow State University of Psychology and Education, Moscow, Russian Federation, ORCID: https://orcid.org/0000-0003-4803-8211, e-mail: mestepanov@yandex.ru

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