Tutor in Algebra and Beginning Analysis for Grades 10-11

The book is written based on the current curriculum in algebra and beginning analysis for general education schools, gymnasiums, and lyceums. It contains over 2500 problems, of which about 800 are provided with solutions, while 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, methods of solving, and are divided into two parts based on the level of difficulty. The inequalities considered in the book are solved using both traditional methods and the method of rationalization, which has been applied more actively in recent years in the Unified State Exam (USE). The concluding chapter presents Olympiad problems with answers, brief instructions, and solutions to the most difficult ones. The tutor is addressed to schoolchildren and graduates for independent preparation for lessons and taking the USE, Olympiads, for successfully passing exams for admission to prestigious universities, as well as to mathematics teachers, students, and tutors.