Irina A. Tarasova’s research while affiliated with Volgograd State Technical University and other places

The article discusses the possibilities of using artificial intelligence (AI) in teaching mathematics at a university. The experience of using AI systems by students and teachers of Volgograd State Technical University is analyzed. A comparative analysis of the degree of use of various AI systems by students is conducted. The possibilities of GPT-chats in solving mathematical problems are studied.

Relevance: Currently, the sustainability and profitability of any company is directly related to its interaction with the environment. In the 20th century it was believed that stable development is impossible, if the company focuses its production on the preservation and protection of the environment. Since the second half of the 20th century, ideas have been increasingly heard that sustainable economic development cannot be achieved at the expense of the predatory depletion of natural resources. The environmental agenda plays an important role in the ESG principles, largely formulated by UN Secretary-General Kofi Annan, reflected in Sustainable Development Goals 12–15, reflected in Resolution 70/1 - Transforming our world: the 2030 Agenda for Sustainable Development. Companies such as Tesla Motors, called “green giants”, have proven by their experience and development dynamics that in today’s environment a business that does not have a negative impact on the environment can be profitable and successful. Thus, modern trends in the development of the world economy determine the relevance of the present study, aimed at studying the new conditions of economic activity by enterprises - the conditions of smart ecology and development of recommendations for the effective transformation of enterprises under these conditions. The purpose of this study is to analyze and identify the main problems of sustainable development of enterprises in terms of preservation and protection of the environment - “smart ecology”, and based on the formulated problems the authors have developed ways to overcome them. The subject of the study are managerial and other relationships arising during the implementation of innovative Smart projects by enterprises. Methods: In the process of analyzing the problems and developing ways to overcome them and the transition of enterprises to the conditions of smart ecology, the authors used methods of system analysis, methods of statistical analysis, methods of artificial intelligence. Results: The conducted analysis shows that in modern conditions of development of innovative technologies in Russia there is no unified approach to the process of effective management of breakthrough development projects. The analysis proposed the concept of SMART ecology and showed its importance for understanding the processes taking place in the modern world. Factors influencing the effectiveness of the implementation of innovative smart ecology projects have been identified. Methods that can be used during the implementation of these projects were proposed.

Currently, there are many different mathematical packages. This work uses the MAPLE package as the most accessible and common. The math package specializes in the symbolic calculation, but the capabilities of the package allow you to use the numerical component. The capabilities of the MAPLE package allow you to develop on its basis. A problematic specialized calculation system, which is a combination of numerical and symbolic methods. The creation of modules is focused on their application in the nonlinear theory of elasticity. The creation of a specialized calculation system allows you to use powerful means of symbolic integration, methods of minimizing functionality, and visualization capabilities of the results inherent in MAPLE. The symbolic component allows you to write a numerical integration program for functions with parameters whose values are not specified. Therefore, it becomes possible to calculate integrals in functionals with iterative minimization methods only once. This approach avoids the calculation of integrals at each step of the iteration process. One-time integration allows you to cope with the simplest formulas of numerical integration.

The chapter discusses the specifics of production planning and supply chain management under the conditions of Industry 4.0. The authors determine regional models of planning of production and supply chain management that exist in the modern global economy—the European and American model (applied by countries of West Europe and North America, e.g., Germany, France, the United Kingdom and the United States), the Asian model (applied by countries of Asia that specialize in industrial production, e.g., Japan, South Korea, and China), and the Eurasian model [applied by countries of the Commonwealth of Independent States (CIS) and the Eurasian Economic Union (EAEU), e.g., Kazakhstan, Georgia, and Russia]. The authors perform a comparative analysis of the existing models and evaluate their applicability to production planning and supply chain management under the conditions of Industry 4.0. The necessity for creating a new framework model of production planning and supply chain management under the conditions of Industry 4.0 is substantiated, and practical recommendations for adapting this model to the specifics of regions of the world are offered.

In context of industry 4.0, where the information component and intercommunicating technologies prevail over the traditional interaction forms, and the business intercommunicating sphere goes into virtual space, enterprises face the need to develop a new business intercommunicating system in order to improve the business intercommunicating system and improve management efficiency in general. The business intercommunicating basic unit is a document. The documents’ movement in all cases reflects the management apparatus organizational structure and the responsibilities distribution between its constituent parts. The basic business processes’ point automation during the documents’ exchange with external contractors becomes insufficient and in modern conditions requires a total transition to the document management in electronic form. The article proposes the measures aimed at modernizing the information flow schemes and the document management system for integrating electronic intercommunicating processes into the construction company management model. The purpose of this article is to propose a method for improving the business intercommunicating system of a construction enterprise based on its business model reengineering and the digital technologies’ introduction. Actually, the method will include the structural analysis stages, logical design, construction and verification of the “as-is” model, the requirements’ formulation for a digital business intercommunicating system, the business processes’ reengineering, the “to-be” models’ formation. As a result of the system project’s implementation, it was possible to streamline all accounting and settlement processes; reduce losses associated with the documents’ movement, effectively organize the employees’ work and ensure their high-quality interaction; speed up the process of exchanging information with external contractors; provide the opportunity to receive various analytical data for management decisions.

This article is devoted to the issue of the correlation between the innovation activity and the volume of agricultural production in the Russian Federation in the context of the established documents, defining the security policy in our country. The hypothesis of the correlation between innovation activity and agricultural production in the conditions of the fourth technological revolution is substantiated. The mathematical tools that can be applied in these areas, taking into account the significant differentiation of the Russian regions, have been studied. To obtain the system assessment of innovation activity in the Russian Federation, the developed integrated index of innovation activity in the region has been used. During the study of the correlation between innovation activity and the volumes of agricultural production, the results of correlational- regression model had been specified on the basis of the correspondence analysis method. During the analysis software tools, created in Volgograd State Technical University, as well as statistical packages and also spreadsheet MS Excel, were used. This fact allows to computerize a considerable part of calculations. It was concluded, that the regions with the developed innovative activity are characterized by large volumes of agricultural production, and the volumes of agricultural production can.