Algebra and beginning of mathematical analysis. Grade 11. Textbook. Basic and in -depth level. Nikolsky S. M., Potapov M.K., Reshetnikov N. N.

Textbook “Mathematics: Algebra and the beginning of mathematical analysis, geometry. Algebra and beginning of mathematical analysis. 10-11 grades ”, which is part of the completed subject line of textbooks on algebra and the beginning of mathematical analysis for students in grades 10-11 of general educational organizations. Large historical and scientific material in textbooks (in theoretical and in historical information) helps the formation of a holistic worldview, explains the role of different peoples in the history of mathematics (ancient Babylon, Egypt, China, Greece, Medieval Europe, Russia), and fosters respectful attitude to different nations Mira. A large role in familiarizing students with the life of different peoples, with ways to solve mathematical tasks from different peoples, play ancient problems. In the 11th grade, the studied properties of functions are generalized, the concepts of parties, frequency, transformation of the schedules of functions are introduced, which are now considered in a wider way, and not in relation to one function being studied, as was the case in previous years. The completion of the line of functions is the introduction of differentiation and integrating functions and solving new problems subject to the new mathematical apparatus. Here, students expand the ideas about functions as models of real processes of the real world. The functional apparatus is perceived by students as a means of solving certain problems related to the problems of studying nature, society, the development of science and technology. The functional line expands the circle of issues studied in the course of the algebra and gives students additional means to solve mathematical problems and tasks of practical content, as well as for the development of skills to observe patterns, put forward hypotheses, prove the noted properties, and defend their own position.