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

The book is based on the current program in algebra and basics of analysis for general education schools, gymnasiums, and lyceums. It contains over 2500 problems, about 800 of which are provided with solutions, while the others 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 homogeneity of topics, types, methods of solution, and are divided into two parts according to difficulty level. Inequalities discussed in the book are solved using both traditional methods and the rationalization method, which has been applied more actively in recent years in the Unified State Exam (USE). The final chapter includes Olympiad problems, with answers, brief indications, and solutions to the most challenging ones. The tutor is aimed at students and graduates for independent preparation for classes and passing the USE, Olympiads, for successful examination when applying to prestigious universities, as well as for mathematics teachers, students, and tutors.