Science

Main directions of scientific research of the department Стрілка вниз
Modern problems of classical mathematics
  • Probability theory and mathematical statistics. Applied problems of probability theory and mathematical statistics.

  • Mathematical analysis

  • Geometry of submanifolds

  • Orthogonal polynomials and problems of moments

Information technology and programming
  • Optimization of functional programming languages based on artificial intelligence methods

  • Mathematical modeling of actual problems of modern information technologies

  • Combinatorics, mathematical logic

  • Mathematical modeling of natural processes

Modern methods of teaching math and computer science
  • Methods of teaching mathematics and history of mathematics

  • Didactic games in the educational process

  • Computer-based educational services and programs in general secondary and higher education institutions

  • Pedagogical excellence

  • Active and interactive learning methods

  • Methods of teaching IT disciplines in higher education institutions

  • Digital learning technologies in the context of modern challenges in education

  • Mathematical modeling of biological objects

  • Pedagogical aspects of teaching mathematical disciplines to students of higher education institutions

  • Innovative methods of teaching math

Catalog of conferences (scientific directions of basic sciences and problems of education) Стрілка вниз
Participation of teachers and students of the department in conferences Стрілка вниз
2024
Publications of the staff of the Department of Higher Mathematics and Informatics over the past five years. Стрілка вниз
2025
2024
2023
2022
  • Zhovtonizhko I.M., Marchenko O.G., Barannik M.O. Peculiarities of teaching the fundamentals of comparative pedagogy to graduates of the scientific degree "Doctor of Philosophy" in the specialty "Educational, pedagogical sciences" // Psychological and pedagogical problems of higher and secondary education in the context of modern challenges: theory and practice: Mater. VI International Scientific and Practical Conference (Kharkiv, March 20-21, 2022) - Kharkiv: KNPU, 2022. - P. 59-62.

  • Zhovtonizhko I.M. Features of teaching mathematical disciplines to biotechnology students // Problems and achievements of modern biotechnology: materials. II International scientific and practical. Internet Conf. (March 20, 2022, Kharkiv) - Electronic data. - Kharkiv: NUPh, 2022. - P. 107-108.

  • Zhovtonizhko IM, Marchenko OG On the problem of protecting the individual in information and psychological warfare // Personality and society in the digital era: psychological dimension: materials. III International Scientific and Practical Conference (Odesa, June 24, 2022) - Odesa: National University "Odesa Law Academy", 2022. - P. 141-144.

  • Zhovtonizhko I.M., Marchenko O.G. Features of teaching the discipline "Statistical Methods in Psychological and Pedagogical Research" to applicants for the degree of Doctor of Philosophy in the specialty "Educational, Pedagogical Sciences" // Relevance and features of scientific research under martial law: collection of abstracts of the International Scientific andPractical Internet Conf. on the occasion of the celebration of the Day of Science-2022 in Ukraine (Kyiv, March 24, 2022) - Kyiv: SIRI MIA of Ukraine, 2022. - P. 177-181.

  • Zagorodnyuk, S.M. On the multiplication operator by an independent variable in matrix Sobolev spaces // Advances in Operator Theory, 7(4), 54, 2022.
  • Zagorodnyuk, S.M. On the Orthogonality of Partial Sums of Generalized Hypergeometric Series // Ukrainian Mathematical Journal, 2022, 74(1), pp. 40-49.
  • Arshava E.A.. Applied component of the theory of differential equations in problems of mechanics // SWorldJournal. - 2022. - Issue №11, Part 2. - 51-61 pp.

2021
  • V. A. Zolotarev, Direct and inverse problems for a periodic problem with non-local potential // J. Differential Equations 270 (2021) 1 - 23.
  • V. A. Zolotarev, Direct and inverse spectral problems for a Dirac operator with non-local potential, J. Math. Anal. Appl. 503 (2021) 125075. Elsevier.
  • S. M. Zagorodnyuk, On some Sobolev spaces with matrix weights and classical type Sobolev orthogonal polynomials, Journal of Difference Equations and Applications, 2021, vol. 27, issue 2, 261 - 283. Taylor & Francis Online publishing house
  • Vovchuk S. V., Gvozdev M. I., Using MATHEMATICA for conducting laboratory work in applied mathematics // Problems of teaching mathematics in educational institutions: THEORY, METHODOLOGY, PRACTICE. Abstracts of the II International Conference, 2021, 47 - 48.

  • Rezunenko V.O., Yarmak V.O., Some problems of organizing distance learning in mathematics // Problems of teaching mathematics in educational institutions: THEORY, METHODOLOGY, PRACTICE. Abstracts of the II International Conference, 2021, 192 - 195.

  • 4. Vovchuk S. V., Gvozdev M. I., Using MATHEMATICA for conducting laboratory work in applied mathematics // Problems of teaching mathematics in educational institutions: THEORY, METHODOLOGY, PRACTICE. Abstracts of the II International Conference, 2021, 47 - 48.

  • Chernova G. V., Search for ways to effectively form students' mathematical skills when conducting classes in an online format // Problems of teaching mathematics in educational institutions: THEORY, METHODOLOGY, PRACTICE. Abstracts of the II International Conference, 2021, 250 - 252

  • Zolotarev V. A. Inverse spectral problem for a third-order differential operator with non-local potential // Journal of Differential Equations, 2021, 303, 456-481

  • Marchenko V. A., Marchenko A. V., Zolotarev V. A. On a spectral inverse problem in perturbation theory // Journal of Mathematical Physics, Analysis, Geometry, 2021, 17(1), 95-115

  • M. Hayakawa; J. Izutsu; A. Schekotov; A. P. Nickolaenko; Yu. P. Galuk; I. G. Kuduntseva Anomalies of Schumann resonances as observed near Nagoya associated with two huge (M∼7) Tohoku offshore earthquakes in 2021 // Journal of Atmospheric and Solar-Terrestrial Physics, 2021, 225, 105761

  • A. P. Nickolaenko; Yu. P. Galuk; M. Hayakawa; I. G. Kudintseva Model Waveforms of Slow-Tail Sferics // Radiophysics and Quantum Electronics, 2021, 64(6), 401-411.

  • Nickolaenko A. P., Galuk Yu. P., Hayakawa M., Kudintseva I. G. Model of sub-ionospheric ELF - VLF pulses // Journal of Atmospheric and Solar-Terrestrial Physics, 2021, 223, 105726

  • Nickolaenko A. P., Galuk Yu. P., Hayakawa M., Kudintseva I. G. Model source bearings of Q-bursts for observations in Antarctica // Journal of Atmospheric and Solar-Terrestrial Physics, 2021, 222, 105723

  • Zagorodnyuk S. M. On Series of Orthogonal Polynomials and Systems of Classical Type Polynomials // Ukrainian Mathematical Journal, 2021, 73(6), 930-943

  • Zhovtonizhko I., Kokodii N., Kaydash M., Dubinin M. Measurement of Diameter, Color Characteristics and Complex Refractive Index of Thin Fibers by Computer Analysis of Colors in an Image // 2021 IEEE 3rd Ukraine Conference on Electrical and Computer Engineering. - P. 74-77.

  • Zhovtonizhko IM, Barannik MO, Sheikina NV, Bazdyrev OO The use of mobile applications to identify the professional abilities of applicants, taking into account their emotional state // Physical and Mathematical Education: Scientific Journal. Issue 1(27) / Sumy State Pedagogical University named after A.S. Makarenko. - Sumy, 2021. - P. 30-35.

  • Zhovtonizhko I., Kokodiy N., Natarova A., Priz I. Computer method for measuring the geometric, optical and color characteristics of thin fibers // Metrology, information and measurement technologies and systems: Abstracts of the VIII International Scientific and Technical Conference - Kharkiv, 2021.