This book is designed to study the course of algebra and began mathematical analysis in the 10th grade at an in-depth level. It can also be used for training in colleges that prepare for work in professions that require an increased knowledge of mathematics. Finally, it is also suitable for self-study of the course of mathematics .. Note that the material presented in the book is slightly larger than that provided by the Fundamental core of the content of general education and the requirements of the GEF of secondary general education .. Most of the tasks of the textbook contribute to the preparation of students for the final certification at a fairly high level. Tasks marked with an asterisk are intended for students who want to achieve high personal results in the subject area "Mathematics" .