Applied Physics and Mathematics Annotation << Back TEACHING OF DIFFERENTIAL GEOMETRY IN DOMESTIC UNIVERSITIES FIRST HALF OF XX CENTURY I.V. IGNATUSHINA The article describes the process of formation of the course «Differential Geometry» in domestic universities first half of XX century. Examine syllabi and textbooks are analyzed by differential geometry specified period. Tells of those scientists who have played an important role in this process. Keywords: differential geometry, history of mathematics and mathematics education in Russia. Contacts: Е-mail: streleec@yandex.ru Pp. 49-56.