Elena А. Vyachkina

The relevance of this research topic stems from the fact that students in engineering fields, in addition to knowledge of the mathematical methods of computational mathematics, must understand their applied significance and be able to develop software to solve applied problems, implementing the methods studied in the form of computer programs. Currently, there is a transition from software provided to educational institutions by foreign companies to domestic products, which requires training preservice engineering students with the use of domestic software. The aim of this article is to describe the authors' original approach to organizing a laboratory practical course on numerical methods. This approach allows students to more deeply understand the essence of methods, realize their interrelationships, and master the elements of functional-object programming as well as the Algozit software environment. The research methods used include numerical methods for solving basic mathematical problems in algebra, analysis, and other fields, as well as functional-object programming. The result is an approach developed by the authors for organizing laboratory work on numerical methods for students majoring in engineering. This approach is based on the development of an innovative programming paradigm and the domestic software product for engineering calculations, the Algozit Functional-Object Programming Environment. This approach includes studying the analytical foundations of numerical methods and retention of this knowledge by solving simple tasks without developing computer programs, as well as developing programs in the Algozit environment for a more in-depth study of the methods and their application to solving applied problems. The theoretical significance of this work lies in the generalization and systematization of materials for laboratory practical training using the developed approach. The practical significance lies in the fact that the presented approach can be used in laboratory practical training in the disciplines "Numerical Methods" and "Computational Mathematics" for students majoring in engineering.