Methods’ application of mathematical physics for solving applied problems of school mathematics

The issue whether choosing exams and preparing for them is relevant for school graduates. For several years now, the final exam in mathematics (Unified State Exam) has been divided into two modules: basic-level mathematics and specialized-level mathematics. The exam structure in specialized mathematics is more voluminous and much more complicated in theoretical terms, since the choice of this exam implies that the graduate is focused on specialties with a physical and mathematical bias (various engineering specialties, specialties related to the large databases processing, etc.). The structure of control and measuring materials of the Unified State Exam in profile mathematics includes tasks of both: a basic level and an advanced one. Due to the fact that the Federal State Educational Standard of secondary education implies the presence of intersubject communications, intersubjectivity is also reflected in examination tasks. So, task no. 10 is a calculation task of applied content, most often representing physical formulas and dependencies that describe real physical processes, the calculations in which must be made using mathematical methods. Although, according to the complexity level, this task belongs to the basic content tasks, when solving such tasks, errors of a different nature are quite common. In this regard, this study analyzes the results of solving applied problems with physical content in the control and measuring materials of the Unified State Exam (dynamic analysis over the past three years), considers the main types of problems of such type, and with it the most common errors. A technique for solving applied problems of the described type is given.