The mathematical disciplines required in higher economic education are outlined, according to the state educational standard of higher professional education. The main elements of mathematical statistics, optimization methods in economics, fundamentals of econometrics are given. The textbook contains methods and models used in the most relevant modern aspects of economics: applications of the theory of mass service, risk calculations, dynamics of ecological and economic systems, methods of financial mathematics. For students, undergraduates, graduate students and teachers of economic and related technical specialties of universities, as well as for students receiving second higher education.