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The guidebook systemises and summarises the basic material of all topics of school and higher mathematics. In addition to the theoretical material of the school mathematics course, Section I contains a training test for external assessment in mathematics and options for self-checking by university entrants of their level of preparation. The book also offers samples of solutions to the main types of problems, as well as instructions and answers to all problems. Section II presents the basic material of the course in higher mathematics on the following topics: linear and vector algebra, analytic geometry, introduction to mathematical analysis, differential and integral calculus, ordinary differential equations, and series. For pupils, university entrants, and students.