Tutor in Algebra and Basics of Analysis for Grades 10-11

The book is based on the current program for algebra and basics of analysis for general education schools, gymnasiums, and lyceums. It contains more than 2500 problems, of which about 800 are provided with solutions, and the rest are intended... for independent solving. Each chapter is accompanied by brief theoretical information, reference materials, and includes various types of examples with detailed solutions. The problems are carefully selected based on the principle of uniformity of topics, types, solving methods, and are divided into two parts by level of difficulty. The inequalities considered in the book are solved both by traditional methods and by the rationalization method, which has been used more actively in recent years in the Unified State Exam (EGE). The final chapter includes Olympiad problems, which are accompanied by answers, brief guidelines, and solutions to the most difficult ones. The tutor is aimed at schoolchildren and graduates for independent preparation for classes and passing the EGE, Olympiads, for successful completion of exams when applying to prestigious universities, as well as for mathematics teachers, students, and tutors.