This tutorial contains theoretical material and disassembled examples of problems in the main sections of mathematics, which are included in the educational program for secondary school students. At the end of each chapter, tasks are presented for self-solution. The manual was released as a reference material for first-year students of various universities in order to independently repeat the school course of mathematics, to prepare for the study of higher mathematics by students of 1-2 courses, as well as to systematize the knowledge gained by applicants.