Vol 9, No 1 (2025)

The analysis of the “Integral” topic study in the school textbook on algebra and beginnings of analysis is given, methodological recommendations for solving integrals are offered, as well as tasks for independent work on this topic.

It is discussed the ways of teaching interference neutralization within the framework of a specialized school. The relevance of the study is justified by the students’ necessity to study phraseological units in order to develop language competencies for improving their language proficiency. The ability to translate idiomatic expression into English considering all cultural characteristics, allows students from a specialized school to acquire linguistic communicative skills and give their speech the necessary expressiveness.

The problems associated with the application of legal responsibility for non-compliance with the norms of environmental legislation remain relevant due to the need to fulfil their socially significant functions. The analysis of theoretical and legal foundations of legal responsibility for environmental offences is given. The results of the study allowed to identify a number of problems in law enforcement practice. The practical significance of the work lies in the development of proposals to improve the legislation in the field of legal responsibility for violations of environmental law aimed at ensuring environmental safety.

The features of the socio-economic activities impact of landowners on the surrounding peasant population are analyzed. It is established that a comparison of the demographic parameters of rural residents living in large capitalist farms areas and outside these areas makes it possible to assess the cultural and social transformations’ degree of the traditional population under the modernization processes influence. It is shown that the shift to landlords for work and the change in the rural employment structure have modernized the peasantry behavior, affecting their marital characteristics complex.

The life history of Czechoslovak legionary and writer Rudolf Medek is studied. The peculiarities of his biography, legionary past are considered. The literary work of the writer is analysed. Rudolf Medek’s social and political activity is assessed.

The novel “Elizabeth Finch” by contemporary English writer J. Barnes is analyzed. The typological connection of the novel with the works of world literature representing the theme of the relationship between teacher/preceptor/mentor and pupil/student is established. The general and individual-authorial principles of consideration of this theme are revealed and the ways of artistic embodiment of the teacher’s image in the researched novel are characterised. The demand for the novel “Elizabeth Finch” among professional readers and researchers (philologists, teachers) and young generation (schoolchildren, students) is substantiated.

The special project role of the magazine “Nation” in the Russian spiritual and moral values formation is considered. The essays’ and podcasts’ analysis that are published on the publication’s website in the period from 2022 to 2024 is carried out. A total of one hundred publications are studied. The conclusion of the study is that the special project “Citizen of Rostov-on-Don” of the magazine “Nation” contributes to the spiritual and moral values formation of the audience.

The impact of artificial intelligence on changes in advertising content creation is explored, with a focus on new approaches and emerging challenges. Key technologies such as generative algorithms, natural language processing, and machine learning are examined for their use in developing text and visual materials. Special attention is given to the personalization of advertisements, the utilization of intelligent chatbots and virtual assistants, and the automation facilitated by platforms such as Adobe Sensei and ChatGPT. Additionally, the potential of integrating artificial intelligence into advertising is analyzed, considering the prospects of its implementation.

Student multifunctional centers’ comparison of 6 universities in Russia is carried out according to the criteria: the center location; activities organization; type of documents; sending documents’ method. Similarities and differences in the office management of the student multifunctional center of Derzhavin Tambov State University are revealed. The conducted research allows us to assess the development level of student multifunctional centers of Russian universities, their importance in the activities of the university and the directions for their improvement. 

The Russian banking industry has undergone significant transformations over the past decade. The number of banks in the country has decreased threefold. Leading Russian financial institutions are adopting an ecosystem-based approach, providing a comprehensive range of services including asset management, financial planning, and insurance. Russian banks are seeking to diversify their revenue streams by reducing their reliance on interest income. This allows them to maintain competitiveness and stability in a rapidly evolving economic landscape.

This study examines the problems and the search for optimal methods of teaching students probability theory, combinatorics and statistics. The fundamentals of applied orientation in teaching probability theory, combinatorics and statistics are revealed. On this basis, the educational and methodological support of this mathematics section has been developed for teaching middle and senior school students. It is proved that such a methodical approach forms the critical thinking of students.

The methods used by different groups of researchers in the study of microplastic content in freshwater fishes of Russia and the results obtained in these studies’ course are reviewed. The sample processing stages are described, including the organic component removal and fragments’ separation. The studies show a high level of microplastic contamination in fish, which emphasises the urgency of the problem and the need for further research to assess the impact on the ecosystem.