Interdisciplinary Integration of Higher Mathematics and Physics in Higher Education to Develop Students Professional Competencies

Abstract

Contemporary challenges in the field of education necessitate the formation of a holistic scientific worldview among future professionals, as well as the ability to integrate knowledge from different disciplines, analyze interdisciplinary relationships, and effectively apply them to solving educational and applied problems. One of the most effective ways to achieve this goal is the implementation of an interdisciplinary approach in the educational process, which provides broad opportunities for its modernization. The interdisciplinary approach makes it possible to organize the educational process in such a way that students can perceive the interdependence and interaction of fundamental and applied disciplines, assess the influence of mathematical methods on physical processes and vice versa, and develop the ability to combine various methods and techniques for the optimal solution of specific problems. In addition, it contributes to the development of systemic thinking and research skills, enhances students’ cognitive activity and motivation, as the visual representation of interdisciplinary connections makes learning more comprehensible, logically structured, and practice-oriented. The article examines relevant aspects of implementing an interdisciplinary approach in the study of fundamental disciplines, in particular higher mathematics and physics. It is shown that such an approach contributes to the formation of students’ holistic understanding of the scientific worldview, the development of systemic thinking, and awareness of the practical significance of theoretical knowledge. The feasibility of using interdisciplinary connections as an effective means of overcoming the fragmentation of knowledge and fostering flexible analytical thinking in students is substantiated. It is demonstrated that the integration of methods from higher mathematics and physics promotes a deeper understanding of physical processes, the development of skills to analyze phenomena from different perspectives, and the selection of rational approaches to their investigation. Equally important is the use of interactive tools in the educational process. The possibilities of using the GeoGebra software for graphical representation of relationships, investigation of motion dynamics, analysis of analytical calculation results, and conducting variable experiments through changing task parameters are demonstrated. It is noted that the combination of analytical and graphical methods for problem solving ensures the visual clarity of educational material, increases students’ cognitive activity, and contributes to the development of their research skills. It is concluded that the integration of the interdisciplinary approach and digital educational resources into the educational process is an effective way to enhance the quality of training of future professionals and to develop their readiness for professional activity in modern conditions.