After completing the program, the graduate:

• Thoroughly and systematically familiarizes himself with the issues of real and complex analysis and applies them in various fields of mathematics.
• Characterizes the nature of sets from two different angles, from the point of view of size theory and topology, applies them in statistics and some other areas of mathematics.
• Studies the numerical characteristics of probability spaces and statistical experiments, random variables, distributions, statistical estimates of the parameters of various probability distributions, and uses appropriate estimates in specific cases.
• Knows and explains the issues and methods of operator theory and operator algebras, the fundamental methods of function theory and functional analysis, and using them, studies various problems, both in these fields themselves, as well as in differential equations and other fields of mathematics;
• Possesses knowledge of various differential equations and numerical approximation methods and creates algorithms by implementing the appropriate program code in the MATLAB language;
• Explains and formulates the basic methods and algebraic structures of abstract algebra and general and algebraic topology and uses them to solve various practical and theoretical problems.
• Within the framework of the master's thesis, studies important methods of the field and plans and conducts research using them.
• Analyzes important issues of the field during team and individual work and substantiates his/her conclusions with relevant knowledge and logic;
• Analyzes the initial data of practical and applied problems based on team and individual work, summarizes the obtained results and formulates them in the language of mathematics;
• Using modern technologies, draws their own conclusions on issues in the field, effectively presents them in written and oral communication, and consistently and clearly formulates and presents them to both specialists and non-specialists, while adhering to the standards of academic ethics.