GRADUATES’ TRAINING FOR THE SEARCH AND SOLVING OF THE MATHEMATICS SCIENTIFIC PROBLEMS
Abstract
The aim of the article is to show on the specific example the one of the methods of realization, which occupies a significant place in the educational programme of teaching, problem of the graduates of Mathematics training for the creative research work.
Method. The authors consider a generalized version of one integral equation, which creates the new problems demand to be studied. By the methods of transformation and the change of variables it is demonstrated how to teach the graduate to find the solving of these problems.
Result. The authors of the article find the solution of integral equation, which is the generalized variant of the previously researched equation and based on it the new problem, that may be the topic of master’s dissertation is defined.
Conclusion. From the results, it follows that it is possible to teach the graduate of Mathematics by the direct participation of supervisor to create independently the scientific problems and to solve them by the method of generalization, on the bases of previously researched problems.
About the Authors
M. M. ZaynulabidovRussian Federation
Mansur M. Zaynulabidov - Ph. D. (Physics and Mathematics), professor, the chair of Advanced Mathematics, the faculty of Mathematics, Physics and Computer Science.
Makhachkala
G. M. Zaynulabidov
Russian Federation
Gazimagomed M. Zaynulabidov - Ph. D. (Physics and Mathematics), assistant professor, the chair of Technology and Its Teaching Methods, the faculty of Technology and Professional Pedagogical Education the faculty of Technology and Professional Pedagogical Education, DSPU.
MakhachkalaZ. Z. Zaynulabidova
Russian Federation
Zaira M. Zaynulabidova - Ph. D. (Physics and Mathematics), assistant professor, the chair of Technology and Its Teaching Methods, the faculty of Technology and Professional Pedagogical Education DSPU; deputy director for Science and Methods, MLNo 5.
MakhachkalaReferences
1. Bitsadze A. V. Uravnenie matematicheskoy fiziki [Equation of mathematical physics]. Moscow, Nauka Publ., 1982. 336 p. (In Russian)
2. Bitsadze A. V. K probleme uravneniy smeshennogo tipa. Trudy matematicheskogo instituta AN SSSR [On the problem of equations of mixed type. Proceedings of the mathematical Institute of the USSR. 1953. Vol. 41. 59 p. (In Russian)
3. Gakhov F. D. Kraevye zadachi [Boundary value problems]. Moscow, Nauka Publ., 1977. 640 p. (In Russian)
4. Zaynulabidov M. M. On some boundary value problems for equations of mixed type with two perpendicular lines of degeneration. Differentsial'nye uravneniya [Differential equations]. 1969. Vol. 5. No. 1. Pp. 91-99. (In Russian)
5. Zaynulabidov M. M., Zaynulabidov G. M., Zaynulabidova Z. M. On some nonlinear equation of type Korteweg de Vries. Izvestiya Dagestanskogo gosudarstvennogo pedagogicheskogo universiteta. Estestvennye i tochnye nauki [Dagestan State Pedagogical University. Journal. Natural and Exact Sciences]. 2013. No. 2. Pp. 6-8. (In Russian)
6. Zaynulabidov M. M., Zaynulabidov G. M., Zaynulabidova Z. M. The generalized d'alembert equation and its nonlinear analogue. Izvestiya Dagestanskogo gosudarstvennogo pedagogicheskogo universiteta. Estestvennye i tochnye nauki [Dagestan State Pedagogical University. Journal. Natural and Exact Sciences]. 2015. № 2. Pp. 11-13. (In Russian)
7. Zaynulabidov M. M., Zaynulabidov G. M., Zaynulabidova Z. M. Nonlinear mathematical models of some problems of the natural science, when the desired value is a time and a linear motion function. Izvestiya Dagestanskogo gosudarstvennogo pedagogicheskogo universiteta. Estestvennye i tochnye nauki [Dagestan State Pedagogical University. Journal. Natural and Exact Sciences].2016. Vol. 10. No. 3. Pp. 15-20. (In Russian)
8. Krikunov Yu. M. Kraevye zadachi dlya model'nykh uravneniy smeshannogo tipa [Boundary value problem for model equations of mixed type]. Kazan, KFU Publ., 1986. 148 p. (In Russian)
9. Muskhevishvili N. I. Singulyarnye integral'nye uravneniya [Singular integral equations]. Moscow, Nauka Publ., 1968. 512 p. (In Russian)
10. Smirnov M. M. Uravneniya smeshannogo tipa [Equations of mixed type]. Moscow, Vysshaya shkola Publ., 1985. 304 p. (In Russian)
11. Trikomi F. O. O lineynykh uravneniyakh smeshannogo tipa [On linear equations of mixed type]. Translated from the Italian by F. I. Frankl. Moscow, Gostekhisdat Publ., 1947. 192 p. (In Russian)
Review
For citations:
Zaynulabidov M.M., Zaynulabidov G.M., Zaynulabidova Z.Z. GRADUATES’ TRAINING FOR THE SEARCH AND SOLVING OF THE MATHEMATICS SCIENTIFIC PROBLEMS. Dagestan State Pedagogical University. Journal. Psychological and Pedagogical Sciences. 2017;11(3):105-109. (In Russ.)