Computational Experiment in Teaching Higher Mathematics. Combinatorics and its Applications

The article continues the cycle ([1] – [12]) of methodological developments of the authors. It discusses some problems related to ways to improve the culture of mathematical thinking of mathematics students. The authors rely on the experience of working at the Faculty of Information Technology of MSUPE.

1. Kulanin E.D., Nurkaeva I.M. On two geometric extremum problems. Mathematics at school. 2019. No. 4. pp. 35-40.
2. Kulanin E.D., Nurkaeva I.M. Once again about the Mavlo task. Mathematics at school. 2020. No. 2. pp. 76-79.
3. Kulanin E.D., Stepanov M. E., Nurkaeva I.M. Propaedeutics of solving extreme problems in the school mathematics course. Data modeling and analysis. 2019. No. 4. pp.127-144.
4. Kulanin E. D., Nguyen Wu Quang, Stepanov M. E. Tangible objectivity with computer support. Data modeling and analysis. Scientific journal. 2019. No. 4. pp.145-156.
5. Kulanin E.D., Stepanov M. E., Nurkaeva I.M. The role of imaginative thinking in scientific thinking. Data modeling and analysis. 2020. Vol.10. No. 2 pp.110 - 128.  
6. Kulanin E.D., Stepanov M. E., Nurkaeva I.M. On various approaches to solving extreme problems. Data modeling and analysis. 2020. Vol. 11. No.1. pp.40-60.  
7. Lungu K.N., Norin V.P., Pisny D.T., Shevchenko Yu.A., Kulanin E.D. Collection of problems in higher mathematics with control papers. Moscow, 2013. Volume 2 (8th edition).
8. Stepanov M.E. Some questions of the methodology of teaching higher mathematics. Data modeling and analysis. 2017. No.1. pp.54-94.
9. Kulanin E.D., Stepanov M. E. From the experience of working in remote mode Learning Modeling and data analysis. 2022. Vol. 12. No. 3. pp.58-70.
10. Kulanin E.D., Stepanov M. E. Comprehensive consideration of mathematical concepts as a methodological technique. Data modeling and analysis. 2022. Vol. 12. No.4. pp.67-84.
11. Kulanin E.D., Stepanov M. E. On visualization of solutions to some extreme problems. Data modeling and analysis. 2022. Vol.12. No.4. pp.94 - 104.
12. Kulanin E.D., Stepanov M. E., Panfilov A.D., Potonyshev I.S. A systematic approach to the methodology of typhlopedagogy on the example of mathematical analysis problems. 2022. Vol. 12. No.2. pp.34-82.
13. Kulanin E.D., Stepanov M. E. Computational experiment in teaching higher mathematics by the example of number theory. Data modeling and analysis. 2024. vol. 14. No.1. pp.170-195.
14. Hall M. Combinatorics. M., Mir, 1970.
15. Natanson I. P. Summation of infinitesimal quantities. M., Fizmatgiz, 1960.
16. Kurosh A. G. Course of higher algebra. M., Fizmatgiz, 1962.