The course of lectures on differential calculus was prepared by an associate professor of the Department of Natural Sciences and Mathematical Disciplines of the Moscow State Academy of Water Transport, Candidate of Technical Sciences V. A. Login. Lectures are intended for IGAVT students studying in specialties 26. 03. 01 "Water transport management and hydrographic support of navigation" and 38. 03. 02 "Management" (the level of higher education - bachelor's degree) and fully corresponds to the curriculum in the discipline "Mathematics" . The theory of the limits of sequences and functions, the basis of differential calculus of the function of one variable, the application of a derivative to the study of functions and the construction of their graphs. The basis of differential calculus of functions of many variables.