The article deals with the formation of professional and creative competence in the study of mathematical disciplines of higher school students of natural sciences and economic trends. The authors have developed a method of teaching that allows students to develop integrative thinking, build their professional and creative competence of the highest level. The proposed method is implemented by means of structural and content models, a new set of training methods that develop integrative complex mathematical problems (CIMZ). The authors suggest the structural and substantial model of formation of professional and creative competence for students of natural and economic areas, where a special role is given to the components (blocks of competences): creative, professional, motivational and personal competences. The article focuses on the structure of professional and creative competence, monitoring and diagnostics in the form of blocks of competence.