NUMERICAL MODELING AS ONE OF THE COMPONENTS OF FUNDAMENTAL MATHEMATICAL TRAINING OF ENGINEERS

Authors

  • Svitlana Kyrylashchuk Vinnytsia National technical University
  • Zlata Bondarenko Vinnytsia National technical University
  • Vitaliy Klochko Vinnytsia National technical University
  • Tetyana Kyrylashchuk Vinnytsia National technical University

DOI:

https://doi.org/10.31649/1999-9941-2022-55-3-74-84

Keywords:

numerical modeling, higher mathematics, stability, evaluation of calculation results

Abstract

The article investigates the problem of mastering the skills of numerical modeling by students of engineering specialties while studying the course of higher mathematics. Much attention is paid to the formation of creative thinking of students in the process of learning mathematics. The main components of the methodological system using SCM in lectures, practical and individual classes.

Using SCM MathCAD, Maple and others, the student can abstract from the technical details of programming, features of the operating system and focus on analyzing the features of such concepts as conditionality of the problem, stability of the method, evaluation of calculation results. Professional orientation of training future professionals with good personal qualities and is seen as creative, full of modern knowledge in mathematics and computer science. The given examples of tasks can be used for independent solution by students with a high cognitive level. Forming  of maintenance of course of higher mathematics is offered to carry out in such directions: strengthening  of role  of numerical  methods  and  their  realization after dopomogo of SKM; the use of mathematical design is during untiing of the applied tasks; capture students mathematical semantically professional by knowledges, necessary for the analytical  and numerical design of practical engineerings tasks, creation of own libraries of user of software products. Main abilities and skills which can be formed for students during computer-integrated employments after higher mathematics and elements of numerical design are selected: ability to use necessary programmatic facilities in the environment of SKM; ability to compare results in the different forms of presentation (analytical and graphic presentation); ability to use new possibilities, which are given computer technologies, based on the use of environment of SKM; ability to design programmatic facilities of the first in the environment of SKM; ability to design in the environment of SKM programmatic facilities of the first level of complication for untiing of educational and subject tasks.

Author Biographies

Svitlana Kyrylashchuk, Vinnytsia National technical University

Candidate of Pedagogical Sciences, Associate Professor, Dean of the Faculty of Information Technology and Computer Engineering

Zlata Bondarenko, Vinnytsia National technical University

Candidate of Pedagogical Sciences, Associate Professor, Associate Professor of the Department of Higher Mathematics

Vitaliy Klochko, Vinnytsia National technical University

Doctor of Pedagogical Sciences, Professor, Professor of the Department of Higher Mathematics

Tetyana Kyrylashchuk, Vinnytsia National technical University

teacher of the Department of Computer Sciences

References

Yu. Horoshko, “Systema informatsiinoho modeliuvannia u pidhotovtsi maibutnikh uchyteliv matematyky ta informatyky,” dys. d-ra ped. nauk, Chernihivskyi nats. ped. un-t imeni T.H. Shevchenka, Chernihiv, 2013 [in Ukrainian].

T. P. Kobylnyk, “Vyvchennia elementiv prohramuvannia u systemi kompiuternoi matematyky Maxima,” Molod i rynok: shchomisiachnyi naukovo-pedahohichnyi zhurnal, № 5-6 (28-29), s. 159-163. 2007 [in Ukrainian].

S. A. Kyrylashchuk, V. I. Klochko, Z.V. Bondarenko, “Tekhnolohichnyi pidkhid do formuvannia matematychnoi kompetentnosti fakhivtsiv haluzi IT,” Modern education, training and upbringing: collective monograph, International Science Group. Boston: Primedia eLaunch, s. 453-467. 2021. doi: 10.46299/ISG.2021.MONO.PED.I [in Ukrainian].

Z. V. Bondarenko, V. I. Klochko, S. A. Kyrylashchuk, “Intehratyvnyi pidkhid do formuvannia profesiinykh kompetentsii maibutnikh inzheneriv shliakhom vykorystannia zasobiv matematychnoho modeliuvannia,” Suchasni informatsiini tekhnolohii ta innovatsiini metodyky navchannia u pidhotovtsi fakhivtsiv: metodolohiia, teoriia, dosvid, problemy. Zb. nauk. pr., № 46, s. 114-117. 2016 [in Ukrainian].

S. O. Semerikov, Maxima 5.13: dovidnyk korystuvacha. Red. Akademika APN M. I. Zhaldaka. Kyiv, 2007 [in Ukrainian].

І. O. Teplytskyi, Elementy kompiuternoho modeliuvannia: navchalnyi posibnyk. Kryvyi Rih. KDPU, 2005 [in Ukrainian].

Developing 21st Century Competencies in the Mathematics ClassroomYearbook 2016, Associa-tion of Mathematics Educators, Edited by: Pee ChoonToh (NTU, Singapore), Berinderjeet Kaur (NTU, Singapore).

Ministry of Education, Singapore (2010). MOE to enhance learning of 21st century competen-cies and strengthen art, music and physical education. Available at: www.moe.gov.sg.

Turner, R., (2010) Exploring mathematical competencies. Available at: http://research.acer.edu.au/resdev/vol24/iss24/5.

І. V. Sitak, V. M. Davydenko, “Orhanizatsiia matematychnoi pidhotovky maibutnikh inzheneriv u vyshchomu tekhnichnomu navchalnomu zakladi,” Scientific journal «Virtus», № 2, s. 139-142. 2015 [in Ukrainian].

V. M. Mykhalevych, Maple. Kompiuterna pidtrymka kursu vyshchoi matematyky v tekhnichno-mu vuzi. Ch. 1. Liniina y vektorna alhebra. Analitychna heometriia, Vinnytsia, Ukraina: VNTU, 2004 [in Ukrainian].

B. A. Alpers, Framework for Mathematics Curricula in Engineering Education. A Report of the Mathematics Working Group. Brussels: European Society for Engineering Education, 2013.

Yu. S. Ramskyi, K. I. Ramska, “Pro rol matematyky i deiaki tendentsii rozvytku matematychnoi osvity v informatsiinomu suspilstvi,” Naukovyi chasopys NPU imeni M. P. Drahomanova. Seriia № 2. Kompiuterno-oriientovani systemy navchannia: zb. naukovykh prats: NPU, № 6 (13), s. 12–16. 2008 [in Ukrainian].

K. Kh. Zelenskyi, V. M. Ihnatenko, O. P. Kots, Kompiuterni metody prykladnoi matematyky, 2002 [in Ukrainian].

Z. V. Bondarenko, S. A. Kyrylashchuk, “Aspekty formuvannia matematychnoi ta informatychnoi kompetentnosti u maibutnikh fakhivtsiv z informatsiinykh tekhnolohii,” Mizhnarodna naukovo-metodychna Internet-konferentsiia «Problemy vyshchoi matematychnoi osvity: vyklyky suchasnosti, Vinnytsia, 2018, s. 343-344 [in Ukrainian].

Downloads

Abstract views: 160

Published

2022-11-02

How to Cite

[1]
S. Kyrylashchuk, Z. Bondarenko, V. Klochko, and T. Kyrylashchuk, “NUMERICAL MODELING AS ONE OF THE COMPONENTS OF FUNDAMENTAL MATHEMATICAL TRAINING OF ENGINEERS”, ІТКІ, vol. 55, no. 3, pp. 74–84, Nov. 2022.

Issue

Section

Mathematical modeling and computational methods

Metrics

Downloads

Download data is not yet available.