The textbook was prepared in accordance with the State educational standard of higher professional education in the specialties of economics and management. The textbook in a systematic form discusses the issues of linear algebra with elements of analytical geometry, the foundations of probability theory, mathematical statistics and financial mathematics, as well as basic economic and mathematical methods and models. Consideration of theoretical issues is accompanied by a large number of tasks and examples. For university students studying in the specialties of economics and management, graduate students, teachers, as well as specialists in applied economics and finance.