Abstract. In the context of the rapid development of artificial intelligence (AI) technologies and their active integration into various fields, education has become one of the key areas where AI can significantly enhance learning efficiency. The relevance of this research is driven by the need to develop innovative tools capable of adapting the educational process to the individual needs of students, particularly in complex disciplines such as simulation modeling of random patterns. The subject of this research is the integration of AI technologies into educational systems, while its objectives include analyzing existing approaches, developing a mobile application for learning simulation modeling, and evaluating its effectiveness. The goal of this study is to create the SimuLearn mobile application, which integrates AI capabilities to personalize learning, enable interactive engagement, and automate knowledge assessment processes. The research employed methods such as the analysis of modern AI technologies, the design of the mobile application architecture, and the integration of a virtual assistant based on ChatGPT. Android Studio and the Kotlin programming language were chosen for app development, ensuring high performance and usability. Additionally, a server proxy was implemented to ensure secure interaction with the OpenAI API. The main results include the development of a mobile application with functional sections for registration, authentication, simulation modeling, theoretical learning, and testing. The virtual assistant integrated into the application provides users with personalized recommendations and step-by-step explanations of complex calculations. The research findings confirm that the use of AI in mobile educational applications enhances student motivation, improves material retention, and facilitates the creation of adaptive learning trajectories. The proposed SimuLearn application demonstrates the potential of AI to transform the educational process and can be used as a tool for studying complex disciplines such as simulation modeling of random patterns.

Keywords: artificial intelligence technologies, educational systems, mobile application, information technology, simulation modeling, SimuLearn applications, Coursera platforms.