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Some Aspects of Teaching Improper Integrals in an Electronic Environment

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  • Valentina Petrova Todorova-Lazarova

    (Department of Mathematics, Informatics, and Natural Sciences, Technical University of Gabrovo, 5300 Gabrovo, Bulgaria)

  • Todor Dimitrov Todorov

    (Department of Mathematics, Informatics, and Natural Sciences, Technical University of Gabrovo, 5300 Gabrovo, Bulgaria)

Abstract

The development of computer technology and communication systems provides new opportunities for learning in an electronic environment. Remote education in virtual electronic classrooms has been widely used in recent decades, especially during the pandemic. Teaching in an electronic environment makes it possible to conduct lectures with thousands of participants. This article is devoted to a new look at teaching improper integrals at the undergraduate and postgraduate levels. A new partition of unity method is applied in a deep recursive e-learning process. A thorough list of subproblems of a real model problem is demonstrated. Additionally, other appropriate improper integrals are considered.

Suggested Citation

  • Valentina Petrova Todorova-Lazarova & Todor Dimitrov Todorov, 2024. "Some Aspects of Teaching Improper Integrals in an Electronic Environment," Mathematics, MDPI, vol. 12(17), pages 1-13, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2732-:d:1468784
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    References listed on IDEAS

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    1. Galán-García, José L. & Aguilera-Venegas, Gabriel & Galán-García, María Á. & Rodríguez-Cielos, Pedro & Atencia-Mc.Killop, Iván, 2018. "Improving CAS capabilities: New rules for computing improper integrals," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 525-540.
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