Learning outcomes for the module:

Solves problems that arise in the course of research activities and require in-depth professional knowledge; selects the necessary research methods, modifies existing and develops new methods based on the tasks of a particular study; analyzes and comprehends the realities of modern theory and practice based on the history and philosophy of science, methodology of natural science, socio-humanitarian and technical knowledge. Presents scientific material in a foreign language; reads and translates original literature on the specialty with subsequent analysis of interpretations and evaluation of the extracted information; conducts business correspondence in a foreign language of professional activity. Possesses information about the current state of psychological theory and practice to the extent optimal for use in subsequent professional activities; demonstrates knowledge of the main aspects of management psychology; the need to understand their own prospects for managerial growth. Solves the problems of higher pedagogical education and the prospects for its further development; considers the use of effective university technologies; solves current and psychological and pedagogical problems; evaluates the results achieved.

Learning outcomes for the module:

He knows the terminology in English, the theoretical basis and the field of application of functional analysis. He has the skills of solving problems of the school curriculum in English, working with methods of functional analysis.

Learning outcomes for the module:

He has the theoretical foundations of algebra and number theory, defines and formulates the main goals at different stages of mathematics education. He has the theory and methods of solving problems of mathematical, real and complex analysis; has the skills to develop methods of teaching specific questions of mathematics at various levels of education. He knows the main directions of the development of school mathematical education; to investigate functions for continuity, to differentiate and integrate functions, to find the limits of functions, to plot elementary functions.

Learning outcomes for the module:

Has the skills to use modern technology; has the skills to acquire new knowledge necessary for everyday professional teaching activities and continuing education. Is able to use information and innovative pedagogical technologies in future professional activity; is able to analyze the results of international comparative research. He is able to apply methods for calculating event probabilities, methods for setting random variables, numerical characteristics of random variables, the main characteristics of sample data, methods of point and interval estimation of parameters; methods for testing hypotheses about distribution parameters and the type of unknown distribution; the purpose and algorithms of regression analysis; the main types of random processes.

Learning outcomes for the module:

He has the skills of working with literature, the peculiarities of bibliographic search, to learn how to correctly quote and refer to the materials used. He knows the idea of how the main methodological ideas arose and developed, how individual theories of teaching mathematics were historically formed; to determine the role and place of the methodology of mathematics in the history of the development of civilization. He is able to conduct theoretical, methodological and ideological analysis, the conceptual apparatus of science, necessary for the study of most special disciplines. Must be able to analytically approach the solution of the tasks set and be able to present their own new scientific results in the form of strictly justified statements; be able to formalize the results of research in the form of articles, reports, etc.