Relevance. The educational system of the Republic of Kazakhstan is gradually being updated based on international requirements. Changes have also affected the methodology of profile teaching of the subject �Algebra and Beginnings of Analysis� as an important element of training of high school students.Purpose. The purpose of this study is to reveal the features of profile teaching of the subject �Algebra and Beginnings of Analysis� in the conditions of updating the content of education.Methodology. To achieve the goal, the methods of analysis and synthesis, comparison, generalization, as well as the author�s questionnaires were used.Results. The study revealed the features of the new educational paradigm of the Republic of Kazakhstan, described the essence of updating the content of education and identified changes in the methodology of teaching mathematical disciplines. The role of profile teaching of the subject �Algebra and Beginnings of Analysis� for high school students was determined. To determine the actual problems in the methodology of teaching the subject �Algebra and Beginnings of Analysis�, a study was conducted among 129 students of profile senior classes of secondary general education schools of the Republic of Kazakhstan. The results of the study demonstrated that students receive the necessary knowledge in the process of studying the subject �Algebra and Beginnings of Analysis� according to the updated methodology, but there is a lack of innovative technologies in the learning process and feedback from teachers. The methods of improving the methodology of profile education in the subject �Algebra and Beginnings of Analysis� were suggested, including additional work with teachers and improvement of their innovative competences, gamification of the educational process and providing students with opportunities to apply their knowledge in practice.Conclusions. The results of this study can be used by the management of secondary general education schools of the Republic of Kazakhstan, as well as by teachers of mathematical disciplines to improve the educational process and better training of students of profile high schools.