Organization of Teaching Applied Mathematics with a Professional Orientation for Engineering Specializations

The article is devoted to modern approaches to teaching applied mathematics in engineering education. Applied mathematics is a fundamental discipline for future engineers, forming essential skills in analysis, modeling, and the solving of complex technical problems. The study aims to analyze contemporary approaches to teaching applied mathematics in engineering education with a professional orientation and to identify methods and technologies that ensure the integration of theoretical mathematical knowledge with practical engineering tasks. The research involved the study of scientific literature and methodological materials on teaching applied mathematics and project-based learning. Project-based and case-study methods were applied to organize student learning through practical tasks and engineering projects. The article examines the principles of professionally oriented education, emphasizing the integration of theoretical knowledge with practical engineering problems. Special attention is given to curriculum design, teaching methods, and the use of project-based learning to enhance student engagement and develop professional competencies. Approaches to organizing lectures, laboratory work, and computational exercises that reflect real engineering situations are described. The study demonstrates that linking mathematical education with professional practice contributes to improving the practical readiness of graduates and supports the continuous improvement of engineering education. The findings can be useful for educators, curriculum developers, and policymakers in organizing the teaching of applied mathematics in higher education institutions with an engineering profile.