Features of the course «Non-classical problems of mathematical physics» in the conditions of realization of competence approach to the training of masters of pedagogical education

This paper discusses theoretical, methodological and methodical aspects of realization of the competence approach to the training of masters majoring in pedagogical education in Physics and Mathematics during the course «Non-Classical Problems of Mathematical Physics» study at higher educational institutions. The paper describes the goals, objectives and relevance of the course aimed at understanding practical solutions of non-classical problems of mathematical Physics by undergraduates. In accordance with the federal state standard of higher education the authors present the competences that are developed during this course. The authors describe the process of the declared competencies development. This process has several levels. For each learning outcome the authors describe appropriate levels of competence (threshold, standard, reference). The authors’ materials reflect methodology of professional competences development in the process of training masters majoring in mathematical education on the basis of Transbaikal State University. The practical aspect of the competence approach implementation is examined on the basis of this training course through the boundary value problem of mathematical Physics in the field with film inclusions (the problem for a strongly permeable film). The positive experience presented in the paper and the received materials can be useful for university teachers.