
NATURAL SCIENCIES MODULE (Б1ЕНМ) 
Department: 19 Discipline: "Chemistry" 
The aims of the study of the discipline "Chemistry" are deepened of existing ideas and generate new knowledge and skills in the field of chemistry. This knowledge is essential for understanding and finding solutions to modern technological, environmental and raw material problems of the nuclear industry. Feature of the program is the fundamental nature of its presentation. It is necessary for the formation of common cultural and bachelors of general competencies, attitudes and development of chemical thinking. The course examines the electron theory of atomic structure, the theory of chemical bond, elements of chemical thermodynamics, chemical elements and their basic compounds, including elements of nuclear energy, methods of segregation, purification and identification of substances. The theoretical part of the discipline is presented in the lecture course. Acquired knowledge is fixed on laboratory studies, which are formed on the skills of responsible attitude to the substance. Selfstudy includes work with textbooks, manuals and reference materials, preparation for practical classes, homework, preparing for tests and writing essays. 
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Department: 30 Discipline: Analytical geometry. 
In the course of Analytical geometry the theoretical and practical issues of the following topics: vector algebra, straight line in plane, plane and straight line in space, of lines and surfaces of the second order; and the beginning of linear algebra (matrices and determinants). This discipline is an integral basis for the study of some mathematical and physical courses. 
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Department: 30 Discipline: Differential and Integral Equations 
The course "Differential and Integral Equations" examines theoretical and practical issues of the following sections: Lyapunov stability, partial differential equations of the first order, Fourier series and integrals, integral Volterra equations and Fedgolma, SturmLiouville problem. The development of this discipline is the basis for the study of mathematics and physics courses such as "The equations of mathematical physics." 
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Department: 1 Discipline: Ecology 
The fundamental science – ecology and the problems of environmental protection are studied in this course. The basic global environmental problems of humanity are discussed. The problems of the interaction of person with an environment at various stages of society development, the modern concepts of sustainable development are considered. The spatial power expansion of the person in biosphere, as well as the prospects of resource supply of humanity in the future are stated. Perspective directions of ecological researches are resulted. The MEPhI’ teachers see the problem not only to give the students a necessary complex of knowledge of general and applied ecology, but as well as to educate the ecological outlook necessary for technical experts of XXI century because the role of ecological requirements at creation of new technologies and functioning of technical systems constantly grows. The description of ecological aspects of considered problems are close connected with studying the basic specialized subjects of our university and are focused on training of experts for the nuclear industry. Besides the solution of the problem of the general ecological education of the university graduates, it allows to raise and expand directly the level of training of experts for the nuclear industry and science. 
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Department: 6 Discipline: General Physics (Atomic physics) 
The working curriculum of discipline "General Physics (Atomic physics)" is prepared in according to the state requirements to a minimum of the contents and level of training of the graduate on this specialty / direction.The course is part of the naturally scientific module, and provides students the competence, the development of which requires modern natural philosophy and scientific thought.Within this course the students learn skills / ability to work with the physical instruments and equipment. 
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Department: 6 Discipline: General Physics (Electricity and Magnetism) 
The working curriculum of discipline «General Physics (Electricity and Magnetism)» is prepared in according to the state requirements to a minimum of the contents and level of training of the graduate on this specialty / direction.The course is part of the naturally scientific module, and provides students the competence, the development of which requires modern natural philosophy and scientific thought.Within this course the students learn skills / ability to work with the physical and electro technical instruments and equipment. As part of the physics course, students study the following sections:The electric field in vacuum and the substanceThe magnetic field in vacuum and the substanceElectromagnetic phenomena 
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Department: 6 Discipline: General Physics (Mechanics) 
The working curriculum of discipline " General Physics (Mechanics)" is prepared in according to the state requirements to a minimum of the contents and level of training of the graduate on this specialty / direction.The course is part of the naturally scientific module, and provides students the competence, the development of which requires modern natural philosophy and scientific thought.Within this course the students learn skills / ability to work with the physical instruments and equipment. 
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Department: 6 Discipline: General Physics (molecular physics and the basis of statistical thermodynamics) 
The working curriculum of discipline "General Physics (molecular physics and the basis of statistical thermodynamics)" is prepared in according to the state requirements to a minimum of the contents and level of training of the graduate on this specialty / direction.The course is part of the naturally scientific module, and provides students the competence, the development of which requires modern natural philosophy and scientific thought.Within this course the students learn skills / ability to work with the physical instruments and equipment.As part of the physics course, students study the following sections:Mechanical oscillationsMolecular physics and statistical thermodynamics 
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Department: 6 Discipline: General Physics (Waves and Optics) 
The working curriculum of discipline " General Physics (Waves and Optics)" is prepared in according to the state requirements to a minimum of the contents and level of training of the graduate on this specialty / direction.The course is part of the naturally scientific module, and provides students the competence, the development of which requires modern natural philosophy and scientific thought.Within this course the students learn skills / ability to work with the optical instruments and equipment. 
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Department: 17 Discipline: Informatics 
The discipline enables one to get programming skills on the imperative highlevel programming language ANSI/ISO C, to master the structural methodology of programming, to learn the ways of creating information processing algorithms, to develop algorithmical thinking. 
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Department: 7 Discipline: Introduction to nuclear physics 
Foundation of nuclear physics Nuuclear propertiesRadioactivity phenomenon Radioacrive decay laws. Sorts of radioactivity Nuclear models. Nuclearr reactions and thir description.Nucleai fission Foundations of nuclear radiation interaction with matter.. 
Б1ЕНМ.В.4 

Department: 30 Discipline: Linear algebra. 
The Linear algebra course is a continuation of Analytic geometry, which studies the following topics: systems of linear algebraic equations; linear, Euclidean, and unitary spaces; linear operators and their matrices; linear, bilinear, polutorapolnye and quadratic forms. This discipline provides the basis for mastering both mathematical and physical sections. 
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Department: 30 Discipline: Mathematical analysis 
""The course" Differential calculus "is the beginning of the discipline Mathematical analysis This course examines theoretical and practical issues of the following sections:. Limit of the sequence, limit and continuity of functions, differentiable functions. The results of the development of this discipline is closely linked with all the studied further mathematics courses. For its study is necessary to hold sections of elementary mathematics in secondary school. The development of the course "Mathematical Analysis" is required for all subsequent physical and mathematical and engineering courses.

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Department: 31 Discipline: Mathematical Physics 
Different problems for partial differential equations are studied. These problems arise in various fields of physics. Course begins with a review of several physical applications. It is shown that these applications lead to the same mathematical models. These basic mathematical models are wave equation, heat transfer equation, Laplace and Poisson equations. Students formulate problems for these equations, i.e. they transform verbal formulation of the physical process to its mathematical description (mathematical model). The main part of the course deals with mathematics used to solve various problems for partial differential equations. Boundary value problems, initialboundary problems and Cauchy problem are studied. Fourier method, Green function method, potential method and some other methods are used to solve abovementioned problems. Final part of the course deals with special functions of mathematical physics. Theory of Bessel functions, orthogonal polynomials and spherical harmonics is studied.

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Department: 30 Discipline: Ordinary Differential Equations 
In the course "Ordinary differential equations" taught the theoretical and practical aspects of the following topics: integrals depending on a parameter; ordinary differential equations of the first order, resolved with respect to the derivative; system of odes; nonlinear odes; the Cauchy problem; wellposedness of the Cauchy formulation by Hadamard variational calculus. The development of this discipline is the basis for further study of Differential and integral equations. 
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Department: 30 Discipline: probability theory and mathematical statistics. 
The discipline is devoted to the fundamentals of probability theory and mathematical statistics. The main themes are: basic concepts and theorems of probability theory; fundamental laws of distribution of random variables; correlation theory, basic concepts of mathematical statistics, methods of collecting, processing and analysis of statistical data, technology of hypotheses testing, methods of correlation and regression analysis. 
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Department: 32 Discipline: Quantum mechanics 
Twosemester course nonrelativistic quantum mechanics is part of the cycle fudamentalnogo main sections of theoretical physics studied by students of the Faculty of ETF MEPhI in 47 semesters. The course is based on the classic textbook LD Landau and EM Lifshitz and include a statement of how the principles of quantum mechanics, as well as a significant number of applications. The presentation and the volume of material designed for the training of specialists involved in research in experimental and theoretical physics. 
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Department: 32 Discipline: Statistical physics 
The single semester course "Statistical physics" is part of fundamental program of theoretical physics studied by students of the faculty of NRNU MEPhI. The course is based on the classic textbook by L. D. Landau and E. M. Lifshitz, and includes a basic principles of statistics and a significant number of its applications. The presentation and the volume of material is designed to prepare professionals engaged in research work in experimental and theoretical physics. 
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Department: 32 Discipline: The Classical Theory of Fields 
The course of the classical theory of fields is a part of the basic course of theoretical physics studied by bachelor students since the 4th till the 7th term. The course is based on the famous textbook by L.D. Landau and E.M. Lifshitz and devoted to the presentation of the classical theory of the electromagnetic field. A complete, logically connected theory of the electromagnetic field includes the special theory of relativity, so the latter has been taken as the basis of the presentation. The level and amount of material are chosen aiming education of researchers working in modern experimental and theoretical physics. 
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Department: 30 Discipline: The theory of functions of a complex variable 
In the course of "Theory of functions of a complex variable" study the following sections: operations on complex numbers; continuity, differentiability and integrability of the functions of a complex variable; Taylor series and Laurent; deduction theory and its application; Laplace transform. 
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Department: 32 Discipline: THEORETICAL MECHANICS 
The course of “Theoretical mechanics” contains fundamental principles of classical mechanics. Based on the law of least action, Lagrange equations are deduced, conservation laws are formulated, onedimensional and central field motion and in particular Kepler problem are discussed. A scattering crosssection concept is introduced and the problem of Rutherford scattering is solved. Small oscillations with one degree freedom, multidimensional and unharmonic oscillations are discussed. Along with Lagrangian formalism, Hamiltonian formalism is introduced. Canonical Hamilton equations, Poisson brackets, canonical transformations and HamiltonJacobi equation are considered. 
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Department: 30 Discipline: Vector and tensor analysis 
"Vector and tensor analysis" is the third part of Mathematical analysis. This course examines theoretical and practical aspects of the following topics: numerical and functional series, multiple, curvilinear and surface integrals, vector and tensor analysis. This discipline is required for all subsequent physicalmathematical and technical courses. 
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