Magistracy
Speciality Code:
7M06105
Speciality Name:
Математическое и компьютерное моделирование (RUDN)
Faculty:
Mechanics and Mathematics
 Model of graduating student
 Mandatory disciplines
 Elective disciplines
 Professional
ON1 To make reviews, substantiated conclusions and recommendations on the basis of systematization and analysis of scientific and technical information on the topic of scientific research in the chosen field;
ON2 to develop curricula for mathematical disciplines for inclusion in the educational process, to present the material orally and in writing;
ON3 to teach mathematics and special subjects in educational institutions, professional educational organizations and educational institutions of higher education;
ON4 Integrate knowledge gained in various disciplines to solve research problems of natural science;
ON5 to critically evaluate modern scientific concepts and theories in the field of applied mathematics to determine the object and subject of independent research;
ON6 to conduct research in the field of modeling natural and technological processes based on classical and modern modeling methods and to obtain new scientific and applied results independently and as part of a research team;
ON7 to make mathematical models to describe the processes under study, to assess the accuracy and reliability of the results of mathematical modeling;
ON8 to develop software packages for solving problems in the field of modeling natural science processes on the basis of modern programming languages, highperformance technologies;
ON9 to develop and apply mathematical methods, system and application software for solving problems of scientific and design and technological activities;
ON10 to plan and carry out numerical experiments, analyze and interpret the results obtained, make reasonable conclusions and predictions of the behavior of the objects under study;
ON11 to build research activities on the basis of ethical and legal norms in relations between people, to bear personal responsibility for the quality of work and scientific accuracy of the results;
ON12 to objectively assess the level of their own educational background and realize the need to form new competencies, build a personal trajectory of further professional training and growth.
ON2 to develop curricula for mathematical disciplines for inclusion in the educational process, to present the material orally and in writing;
ON3 to teach mathematics and special subjects in educational institutions, professional educational organizations and educational institutions of higher education;
ON4 Integrate knowledge gained in various disciplines to solve research problems of natural science;
ON5 to critically evaluate modern scientific concepts and theories in the field of applied mathematics to determine the object and subject of independent research;
ON6 to conduct research in the field of modeling natural and technological processes based on classical and modern modeling methods and to obtain new scientific and applied results independently and as part of a research team;
ON7 to make mathematical models to describe the processes under study, to assess the accuracy and reliability of the results of mathematical modeling;
ON8 to develop software packages for solving problems in the field of modeling natural science processes on the basis of modern programming languages, highperformance technologies;
ON9 to develop and apply mathematical methods, system and application software for solving problems of scientific and design and technological activities;
ON10 to plan and carry out numerical experiments, analyze and interpret the results obtained, make reasonable conclusions and predictions of the behavior of the objects under study;
ON11 to build research activities on the basis of ethical and legal norms in relations between people, to bear personal responsibility for the quality of work and scientific accuracy of the results;
ON12 to objectively assess the level of their own educational background and realize the need to form new competencies, build a personal trajectory of further professional training and growth.

Mathematical models in economics and ecology
 Number of credits: 3
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The goal is to develop the skills of applying the methods of mathematical modeling in the problems of economics and ecology, to build and explore the simplest mathematical models for economic problems and environmental problems. The evolution and disasters of ecosystems, economic models and their dynamics will be studied. During the study of course, students should be competent in:  Build models of economical processes;  apply methods for studying the stability of dynamic systems;  apply the Holling – Tanner model;  know limit cycles for equations of economic models of the Rayleigh type.

Mathematical Control Theory
 Number of credits: 3
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The goal is to develop skills for constructing a mathematical model of the problem under consideration, formalizing and choosing the method of its research, the development of the student’s mathematical culture and its preparation for the independent use of the knowledge gained. During the study of course, students should be competent in:  know the basic concepts of the theory of mathematical control;  apply research methods and properties of controlled systems;  apply the principles of program management;  apply the criteria for the quality of controlled systems;  apply frequency sustainability criteria.

Highperformance computational processes in problems of mathematical physics
 Number of credits: 5
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The goal is to develop skills in applying methods for solving problems of mathematical physics on highperformance systems. During the study of course, students should be competent in:  Analyze the complexity of the calculations and evaluate the possibility of parallelization  apply the principles of development of parallel methods;  know the architecture of parallel computing systems;  apply graph models of programs. Dependency graphs and minimal graphs;  develop parallel algorithms using MPI, OpenMP, CUDA technologies;  develop parallel algorithms using POSIX Threads;  develop parallel algorithms using PVM (Parallel Virtual Machine).

Nonlinear problems of mathematical physics
 Number of credits: 3
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The purpose of the discipline: The objectives of the development of the discipline "Nonlinear problems of mathematical physics"  acquaintance with the methods of mathematical modeling of physical processes;  acquaintance with modern analytical methods for studying nonlinear problems of mathematical physics; acquisition of skills to use the modern mathematical apparatus in research and applied activities. In the course of studying the course to form undergraduates' abilities:  Explain the key concepts of generalized functions in the context of the relevant theory;  Calculate problems (generalized solutions, ordinary differential operators, inverse scattering problems, soliton solutions) using modern methods of the theory of generalized functions;  To prove the solvability of applied problems using the theory of generalized functions;  Solve theoretical and applied problems of physics, mechanics, etc .;  Describe the solution of the problems of nonlinear equations of mathematical physics by the methods of the theory of generalized functions and the theory of functional spaces.  Design the process of studying an applied problem using the methods of the theory of generalized functions;  To work in a team, reasonably defend the correctness of the choice of a solution to a problem. As a result of training, undergraduates should know: the physical meaning of the classical nonlinear equations of mathematical physics; Basic ideas and methods of the spectral theory of ordinary differential operators; The main ideas of the inverse scattering method. To be able to: Build mathematical models of physical and other phenomena; Use the ideas of the inverse problem method to study solutions of nonlinear equations of mathematical physics. Possess: Skills of joint application of various mathematical methods; The skills of combining analytical and approximate methods in the study of complex mathematical and applied problems.

Discrete Mathematical Models
 Number of credits: 3
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: Purpose  the formation of skills to conduct studies of smooth curves on the plane and in space, regular surfaces, calculate polynomial invariants and invariants with values on graphs for classical and virtual knots and links. During the study of course, students should be competent in:  Know the basic concepts and methods of differential geometry and topology;  to conduct studies of smooth curves in the plane and in space, as well as regular surfaces;  calculate the main polynomial invariants and invariants with values on graphs for classical and virtual knots and links;  to find polynomials of volume for the simplest polyhedron;  apply the methods of knot theory and convex polyhedrons.

Foreign Language (professional)
 Number of credits: 5
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The purpose of the discipline: the acquisition and improvement of competencies in accordance with international standards of foreign language education, allowing the use of a foreign language as a means of communication for the successful professional and scientific activities of the future master. able to compete in the labor market, as new knowledge, technologies are available through a foreign language, mastering a professional foreign language serves as a tool in mastering new competencies

History and philosophy of science
 Number of credits: 3
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The course "History and Philosophy of Science" introduces the problem of science as an object of special philosophical analysis, forms knowledge about the history and theory of science; on the laws of the development of science and the structure of scientific knowledge; about science as a profession and social institution; оn the methods of conducting scientific research; the role of science in the development of society. The maintenance of a course includes detection of specifics and interrelation of the main problems, subjects of philosophy of science and history of science; studying consciousness of science in its social and philosophical foreshortenings; consideration of a phenomenon of science as professions, social institute and direct productive force; disclosure of disciplinary selfdetermination of natural, social and technical science, their communities and distinction.

Nonlocal boundary problems
 Number of credits: 3
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The goal is to form the ability to apply basic qualitative research methods, to study nonclassical problems for partial differential equations, including elliptic equations with nonlocal boundary conditions and boundary problems for functional differential equations. During the study of course, students should be competent in:  To know the basic types of nonlocal boundary value problems for elliptic equations, the formulation of boundary value problems for functional differential equations, the concept and basic properties of Sobolev spaces and weighted spaces, the Fredholm solvability property, the effect of breaking smoothness of solutions.  to investigate the solvability and regularity of solutions of nonlocal boundary value problems for elliptic equations, as well as boundary value problems for some classes of functional differential equations in various functional spaces;  apply basic qualitative research methods as a theory of Banach algebras, a localization technique, a method of cutting functions, a method of a priori estimates, the construction of regularizators, a method of continuation with respect to a parameter.

Master’s dissertation preparation and defense (MDPaD)
 Number of credits: 12
 Type of control: Master Dissertation
 Description: The main purpose of "The implementation of a Master Thesis": the formation of master students in preparation for the defense of the thesis for the Master in specialty (by industry). During the study of course, master student's should be competent in: 1. demonstrate the progress of solving problems arising in the course of research activities and requiring indepth professional knowledge; 2. to argue for carrying out theoretical or experimental research within the framework of the tasks, including a mathematical (simulation) experiment; 3. can choose the necessary research methods, modify existing methods and develop new methods, based on the tasks of the specific study; 4. to use foreign languages for independent work on normative sources and scientific literature; 5. formulate the goals and objectives of the dissertation research, determine the scientific novelty and practical significance of the results of research activities; to develop a structurally methodological scheme for performing research.

Pedagogy of higher education
 Number of credits: 5
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The purpose of disciplinemastering the basics of professional and pedagogical culture of higher school teacher, the formation of competencies, skills and teaching activities in universities and colleges. The following issues are studied: the role of pedagogical science in the system of Sciences; the system of higher professional education in Kazakhstan; methodology of pedagogical science; didactics of higher education; design of TLAstrategy of education, the use of traditional and innovative methods and forms of education.

Psychology of management
 Number of credits: 3
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The purpose of the discipline is to provide scientific training for highly qualified specialists on the basis of studying the fundamental concepts of management psychology, capable of understanding the current state of the theory and practice of management psychology in an amount optimal for use in subsequent professional activities; apply and describe psychological methods of studying individuals and social groups (communities) in order to increase management efficiency;

Modern methods of mathematical modeling
 Number of credits: 5
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The purpose of the discipline: to form the skills of applying theoretical and practical aspects of modern modeling methods for solving problems of applied mathematics, skills of using mathematics packages corresponding to tasks, to form skills to interconnect modules implemented in math packages with software implemented using highlevel programming languages (Python, Java). Modern mathematical packages will be studied that allow solving applied problems of natural science. During the study of course, master students should be competent in:  using modern mathematical packages that allow solving applied problems of mathematics and physics;  interconnecting the modules implemented in software math packages;  independently building the program modules for solving applied tasks.  knowing the methods of setting and solving problems numerically,  having the skills of constructing finitedifference approximations, conducting computer computational experiments;  having a deep knowledge of the basics of computational fluid dynamics. During the study of the discipline master students will learn following aspects: Modern mathematical packages will be studied that allow solving applied problems of natural science, like Ansys, which combines and connects many applications for calculating problems of fluid dynamics, mechanics of a deformable solid; Comsol, which allows to simulate almost all physical processes that are described by partial differential equations, SCAD is a computational complex for analyzing the strength of structures using FEM.

Control systems with consequences
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The goal is to develop skills for solving linear and nonlinear differential equations with delay, optimal control problems in systems with aftereffect, application of dynamic models with delay by the method of steps and the operational method; method of reducing to a nonlocal boundary value problem. During the study of course, students should be competent in: – solve linear and nonlinear differential equations with aftereffect; – solve optimal control problems in systems with aftereffect; – build dynamic models with aftereffect; – apply methods of reducing initial equations to a nonlocal boundary value problem.

Computer modeling and vizualization in graphic paсkages
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The purpose of teaching the discipline is to study various graphic packages for computer modeling and visualization. Course objectives  the study of undergraduates practical drawing techniques and types of drawings, such as construction, engineering and many others. The course covers the modeling of physical processes of the real world, using inverse kinematics, the creation of video editing effects, familiarity with the MaxScript language. During the study of course, students should be competent in: – know the inverse kinematics and the Character Studio module; – have the skills to work with atmospheric effects; – be able to simulate physical processes; – have the skills to work with global illumination; – demonstrate knowledge of the script language MAXScript; –  demonstrate knowledge of the possibilities of automating the development of design and design documentation.

Mathematical models of the theory of elasticity
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The purpose of the discipline: formation the ability to correctly build mathematical models and algorithms for the study of dynamic processes in deformable solids and media. Acquaintance with physicomathematical models of deformable solids, methods for solving model boundaryvalue problems, with the basics of conducting various numerical experiments to study the dynamics of mechanical properties, and features of computer technology. During the study of course, master students should be competent in:  studying the concepts of deformations of the continuum, measures and stress tensors, their properties, concepts of geometrically linear and nonlinear approaches;  deriving stress tensors, moment voltages,  knowing the basics of nonequilibrium thermodynamics of the continuum, the concepts of material stability and design;  applying the basic concepts of nonlinear mechanics of continuous media for the formulation of mathematical formulation of problems in research and development activities.  analyzing the mathematical statement made, to linearize the task, to record the initial and boundary conditions; During the study of the discipline, master students will learn following aspects: Models for the study of dynamic processes in deformable solids and media. Physical and mathematical models of deformable solids, methods for solving model boundary value problems. The concepts of deformations of the continuum, measures and strain tensors, their properties, the basics of the thermodynamics of the continuum, the concepts of material stability and design.

Mathematical and computer modeling of meteorological problems
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The goal of mastering the discipline is to study the masters with modern methods of hydrodynamic modeling of atmospheric processes, based on integrating the system of atmospheric hydrodynamics equations, with the aim of shortand mediumterm weather prediction, to develop the skills of independent solution of theoretical and applied problems in the field of hydrodynamic modeling of natural processes using modern computational methods and devices. During the study of course, students should be competent in: – solve professional problems of hydrodynamic modeling; – know and be able to apply finitedifference and spectral models, methods of numerical integration of prognostic equations; – methods of parametrization of physical processes of subgrid scale; – apply knowledge when monitoring the natural environment, analyzing and forecasting the state of the atmosphere, assessing their possible change caused by natural and manmade causes.

Mathematical and Computer Modeling of Medical and Biological Processes
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The purpose of the discipline: to form knowledge in solving actual scientific and applied problems related to modeling processes occurring in living organisms and systems, processing and system analysis of experimental data, to form knowledge in the field of the theory of dynamic systems and nonlinear dynamics applied to the problems of physics of living systems. During the study of course, students should be competent in:  to solve actual scientific and applied tasks related to the modeling of processes occurring in living organisms and systems;  to formulate the tasks of analytical and numerical research of dynamic systems;  choose adequate theoretical and numerical methods for their solution;  process and analyze experimental data.

Mathematical and Computer Modeling of Unsteady Nonlinear Physical Processes
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The purpose of the discipline: to develop skills in solving nonstationary nonlinear physical processes problems by mathematical methods. During the study of course, master students should be competent in:  developing mathematical models of complex nonstationary nonlinear physical processes;  knowing and apply techniques and methods for solving complex problems of mathematical physics;  using different numerical methods to implement mathematical models of nonstationary nonlinear physical processes;  be able to use the scientific, reference, methodological literature on the subject;  writing the program code for the constructed mathematical model;  Creating a graph and perform animation for the results. During the study of the discipline master students will learn following aspects: Description of physical processes by mathematical equations. Construction of a mathematical model of the process. Closure of the system of equations by means of turbulent models. Selection of numerical methods. Construction of the difference equation of physical processes. Construction of a numerical algorithm for solving the difference equation. Creating code in one of the computer languages (Fortran, C ++, Java). Analysis of the results of numerical simulation of nonstationary nonlinear physical process. Graphical processing of numerical simulation results.

Mathematical and computer modeling of chemical processes
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The purpose of the discipline:is to improve the professional training of the student in the field of modeling of chemical and technological processes, includes master degree students knowledge in the field of modeling, compiling and optimizing mathematical models, using modern mathematical software packages in modeling; formation of professional skills in modeling chemical and technological processes, in the analysis and processing of data using modern information technologies. During the study of course, master students should be competent in:  building mathematical models of the systems under study;  carrying out analytical research and optimization of the developed mathematical model;  realizing the developed mathematical models in computer form;  applying the methods of computational mathematics to solve specific problems of the processes of chemical technology;  knowing methods of constructing a mathematical model of typical professional problems and a meaningful interpretation of the results obtained;  using packages of applied programs for modeling of chemical and technological processes. During the study of the discipline master students will learn following aspects: The course is designed to expand the knowledge of basic concepts, techniques and methods of mathematical and computer modeling, consideration of modern technologies for constructing and researching mathematical models for chemicaltechnological processes. The course discusses the principles of the formation of mathematical models, methods for constructing physicochemical models of chemicaltechnological processes, types of reactors and chemicaltechnological processes, methods for optimizing chemicaltechnological processes using empirical and / or physicochemical models.

Finite element method in applied problems
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The purpose of the discipline: to form the knowledge of the finite element method (FEM) and the development of skills for its practical application. During the study of course, master students should be competent in:  describing modern grid methods,  describing the finite element method (FEM);  describing the procedure for the approximation of the FEM, methods for its improvement;  solving twodimensional and threedimensional boundaryvalue problems using FEM;  describing the FEM data structures;  describing methods and algorithms for constructing finite element meshes;  using the basic principles of constructing modern finite element packages;  applying the basic methods of describing the design areas;  developing programs for the implementation of the FEM;  building finite element schemes of a higher approximation order. During the study of the discipline, master students will learn following aspects: various theoretical and practical aspects of FEM that will contribute to the development of skills for solving applied problems in various fields of the national economy: from the study of hydro and aerodynamics, soil seismic, physics problems, etc. to strength calculations of various structures and structures. The FEM is based on the discretization of an object, and its efficiency is especially obvious for problems with a complex configuration of the object under study and boundary conditions.

Continuous Mathematical Models
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The purpose of teaching a discipline is to develop skills for constructing a mathematical model of the problem under consideration, formalizing and choosing the method of its research for describing and solving applied problems, developing a student’s mathematical culture for mastering other basic mathematical courses. The basic concepts of mathematical models of physical, engineering and other systems, approaches to obtaining models, methods of their research will be presented. During the study of course, students should be competent in:  to know the basic concepts of mathematical models of physical, engineering, etc. systems,  apply the principles of constructing mathematical models;  to apply numerical and analytical methods for the study of continuous mathematical models;  possess the skills of formalization and choice of the method of studying mathematical models.

Appliеd problems in mathematical modeling
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The purpose of the course is to form the skills of constructing mathematical models describing natural science and humanitarian processes. Basic information will be presented on models of mathematical physics, on methods for solving problems that reduce to dynamic systems, differential equations, and systems of partial differential equations. Particular attention is paid to the study of the concept of constructing mathematical models, which are analytical, numerical algorithms, as well as their compositions. During the study of course, students should be competent in:  build mathematical models describing physical, chemical, biological, social, economic processes and phenomena, and leading to differential integral equations;  apply methods of analytical problem solving, methods of numerical solution of problems resulting from the simulation of these processes;  know the properties of the processes being modeled for different types of problems of partial differential equations;  choose the right mathematical model for the studied process;  correctly set the corresponding models of mathematical tasks;  find solutions to the main types of tasks;  analyze the solutions and give a competent interpretation of their decisions.

Advanced methods of computational fluid dynamics
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The purpose of the discipline is to form students' ability to apply modern methods of numerical solution of hydrodynamic equations, practical application of the main stages of mathematical modeling of hydrodynamic processes, including the physical formulation of the problem, the choice of a mathematical model and the formulation of the initialboundaryvalue problem, the construction of a network model, the choice and development of grid approximations, teach the construction of various algorithms for constructing finite difference and finite element meshes. During the study of course, students should be competent in:  apply methods for the numerical solution of the NavierStokes equations in the case of an incompressible fluid on a spaced grid;  apply solutions to viscous compressible fluid;  build endtoend counting schemes, explicit and implicit methods for solving initial equations;  apply the McCormack method, the BimaWarming method, TVD schemes;  apply high order schemes  ENO and WENO.

Modeling the stability of a deformable systems
 Type of control: [RK1+MT1+RK2+Exam] (100)
 Description: The purpose of the discipline: to form the ability to mathematically model the problem of the stability of deformable systems, select an applied aspect in them, solve a model, analyze, interpretation of the result. During the study of course, students should be competent in:  demonstrate a systematic understanding of the process of modeling the stability of deformable systems;  critically evaluate the choice of criteria for static and dynamic stability of systems as applied to deformable media;  choose the methodology of analysis of static and dynamic stability of deformable systems and methods of solution;  to adjust the process of solving and visualizing the sustainability of the studied systems using modern software packages and determining the significance of the research for the technological development of society;  make recommendations in terms of the subject area of the studied subject.

Dissertation Writing
 Type of control: Защита НИР
 Description:

Research practice
 Type of control: Защита практики
 Description: The main purpose of the discipline: the formation of pedagogical competence, the ability of pedagogical activity in universities and colleges based on the knowledge of the didactics of the higher school, the theory of education and management of education, analysis and selfassessment of teaching. During the study of course, master students should be competent in:  classify teaching methods based on criteria: traditionalistic  innovation; activity of cognitive activity; didactic goal and focus on results;  apply strategies and methods of training and education adequate to the goals;  develop research projects on topical issues of education and present the results in the form of presentations, articles, etc.;  describe different approaches to university management (university management  linear, structural, matrix): structure, quality, reputation;  evaluate and manage the processes of the organization of education, aimed at improving the structure, quality, reputation based on modern management approaches;  develop the provisions of the academic and research policy of the organization of education.

Research Seminar III
 Type of control: Защита НИР
 Description:

Scientific Internship
 Type of control: Защита НИР
 Description: The main purpose of "Scientific Internship": is the formation in the students of the ability to independently conduct research and development in the professional sphere using modern research methods and information and communication technologies on the basis of a foreign university. During the study of course, student should be competent in:  to substantiate the fundamentals of the methodology for performing scientific research, planning and organizing a scientific experiment, processing scientific data;  to argue methods of solving research and practical problems, including in interdisciplinary areas;  can analyze alternative solutions to research and practical problems and assess the potential benefits of implementing these options;  apply theoretical knowledge on methods of collecting, storing, processing and transmitting information using modern computer technologies;  choose the methods of presentation and methods of information transfer for different contingents of listeners.

Research Seminar I
 Type of control: Защита НИР
 Description: The main purpose of "Research Seminar": the formation of master students in the skills of scientific research work. During the study of course, master student's should be competent in: 1. is able to competently substantiate the main directions of scientific research on the topic of dissertational work; 2. formulate a research problem, put a scientific problem and choose appropriate research methods; 3. can apply theoretical and experimental research methods in professional activity; 4. analyze the results of scientific research at each stage of the dissertation preparation; 5. are able to evaluate and draw conclusions on the main provisions of their research activities.

Research Seminar II
 Type of control: Защита НИР
 Description: The main purpose of "Research Seminar": the formation of master students in the skills of scientific research work. During the study of course, master student's should be competent in: 1. is able to competently substantiate the main directions of scientific research on the topic of dissertational work; 2. formulate a research problem, put a scientific problem and choose appropriate research methods; 3. can apply theoretical and experimental research methods in professional activity; 4. analyze the results of scientific research at each stage of the dissertation preparation; 5. are able to evaluate and draw conclusions on the main provisions of their research activities.

Teaching Internship
 Type of control: Защита практики
 Description: The purpose of teaching practice is to prepare for scientific and pedagogical activities in higher education, the acquisition and consolidation of practical skills for the implementation of the teaching and educational process in higher education, including the teaching of special disciplines, the organization of educational activities of students, scientific and methodological work on the subject.As a result of pedagogical practice, the undergraduate will have the skills of structuring and transforming scientific knowledge into educational material, oral and written presentation of the subject material, a variety of modern educational technologies, methods of drawing up tasks, exercises, etc.

Publication in the Proceedings of International Conferences
 Type of control: Защита НИР
 Description: The main purpose of "Publication in the Proceedings of International Conferences": is the formation of master candidates in the possibility of presenting the results of research work to the scientific community, receiving feedback, and exchanging experience in the field of professional activity. During the study of course, master student's should be competent in: 1. demonstrate current trends in scientific research; 2. to argue the annotated results of research in scientific journals, materials of international conferences and symposia; 3. they can apply new, scientifically grounded, theoretical or experimental results that allow solving a theoretical and applied problem; 4. analyze scientific results, the data of their colleagues and opponents in the sphere of the chosen professional activity; 5. generate ideas for the use of proposed developments in scientific research of the professional field of activity.