This textbook corresponds to the state standard and the current program in mathematics for teaching at the academic and profile levels in the 11th grades of secondary schools. In addition to the program material, it also contains additional material that corresponds to the practice of teaching in specialized physics and mathematics schools, lyceums and gymnasiums. Training material at all levels is clearly demarcated, but presented in parallel. Therefore, each student when using the textbook can choose for themselves the level of mastery of each topic, which corresponds to his aspirations and capabilities. The textbook pays considerable attention to issues of historical, ideological and methodological nature.