Keyword: «the preparation of the applicant's mathematical or technical university»

The problem of raising the level of mathematical preparation of students of mathematical and technical specialties should be addressed to both the course of school level algebra and analysis, and the preparation to the Unified State Examination in mathematics (profile level). The example of the application of the functional-graphical method for solving trigonometric equations and inequalities in problems of high level on the use math level profile, demonstrates one of the possibilities of differentiated approach in training future first-year student of technical or mathematical University. For example, the decision of tasks demonstrates the advantages of using functional-graphical method for solving trigonometric equations and inequalities in the formation and development of skills of analysis and graphing of elementary functions. The paper is of interest to academicians, high school teachers and students wishing to enter technical or mathematical university.