Statistics and econometrics from the point of view methodology mathematics

The authors consider teaching statistics and econometrics with the use of mathematical methods. The advantages of step-by-step solution of problems and carrying out of laboratory works with the use of computer technologies (EXCEL, Mathematica) are discussed. The example of 2 variants of linear (4-factor) multiple regression in EXCEL and in Mathematica (with the use of single line programs in functional style) is given. Apart from professional program software (EViews, etc.) which give only summary table problem solution performed step-by-step can be used in teaching. © IDOSI Publications, 2014

Computer support of interdisciplinary communication of analytic geometry and algebra

© 2015 by iSER, International Society of Educational Research. The relevance of the research is due to the modernization of higher mathematical education in Russia, which led to a significant change in the curriculum and the need to establish new relationships of disciplines. The aim of the article is to find ways to solve the problem of the interdisciplinary connections in the teaching of present course “Analytical geometry” and “Algebra” in higher education. The leading method of the study of this problem is the methodical analysis and subsequent synthesis, which allows, having analyzed the didactic content of the "Analytical Geometry" and "Algebra"courses, to identify the necessary interdisciplinary communication between them and find ways to implement them through the use of modern educational technologies. It is proved that one of the instruments for implementing these methods is a computer, in particular systems of computer mathematics (Maple, Mathematica). Article submissions may be useful to teachers of mathematical disciplines of higher education institutions

Retarded versus time-nonlocal quantum kinetic equations

The finite duration of the collisions in Fermionic systems as expressed by the retardation time in non-Markovian Levinson-type kinetic equations is discussed in the quasiclassical limit. We separate individual contributions included in the memory effect resulting in (i) off-shell tails of the Wigner distribution, (ii) renormalization of scattering rates and (iii) of the single-particle energy, (iv) collision delay and (v) related non-local corrections to the scattering integral. In this way we transform the Levinson equation into the Landau-Silin equation extended by the non-local corrections known from the theory of dense gases. The derived nonlocal kinetic equation unifies the Landau theory of quasiparticle transport with the classical kinetic theory of dense gases. The space-time symmetry is discussed versus particle-hole symmetry and a solution is proposed which transforms these two exclusive pictures into each other.Comment: slightly revised, 19 page

Computer support of interdisciplinary communication of analytic geometry and algebra

© 2015 by iSER, International Society of Educational Research. The relevance of the research is due to the modernization of higher mathematical education in Russia, which led to a significant change in the curriculum and the need to establish new relationships of disciplines. The aim of the article is to find ways to solve the problem of the interdisciplinary connections in the teaching of present course “Analytical geometry” and “Algebra” in higher education. The leading method of the study of this problem is the methodical analysis and subsequent synthesis, which allows, having analyzed the didactic content of the "Analytical Geometry" and "Algebra"courses, to identify the necessary interdisciplinary communication between them and find ways to implement them through the use of modern educational technologies. It is proved that one of the instruments for implementing these methods is a computer, in particular systems of computer mathematics (Maple, Mathematica). Article submissions may be useful to teachers of mathematical disciplines of higher education institutions

Statistics and econometrics from the point of view methodology mathematics

The authors consider teaching statistics and econometrics with the use of mathematical methods. The advantages of step-by-step solution of problems and carrying out of laboratory works with the use of computer technologies (EXCEL, Mathematica) are discussed. The example of 2 variants of linear (4-factor) multiple regression in EXCEL and in Mathematica (with the use of single line programs in functional style) is given. Apart from professional program software (EViews, etc.) which give only summary table problem solution performed step-by-step can be used in teaching. © IDOSI Publications, 2014

Statistics and econometrics from the point of view methodology mathematics

The authors consider teaching statistics and econometrics with the use of mathematical methods. The advantages of step-by-step solution of problems and carrying out of laboratory works with the use of computer technologies (EXCEL, Mathematica) are discussed. The example of 2 variants of linear (4-factor) multiple regression in EXCEL and in Mathematica (with the use of single line programs in functional style) is given. Apart from professional program software (EViews, etc.) which give only summary table problem solution performed step-by-step can be used in teaching. © IDOSI Publications, 2014

Statistics and econometrics from the point of view methodology mathematics

The authors consider teaching statistics and econometrics with the use of mathematical methods. The advantages of step-by-step solution of problems and carrying out of laboratory works with the use of computer technologies (EXCEL, Mathematica) are discussed. The example of 2 variants of linear (4-factor) multiple regression in EXCEL and in Mathematica (with the use of single line programs in functional style) is given. Apart from professional program software (EViews, etc.) which give only summary table problem solution performed step-by-step can be used in teaching. © IDOSI Publications, 2014

Computer support of interdisciplinary communication of analytic geometry and algebra

© 2015 by iSER, International Society of Educational Research. The relevance of the research is due to the modernization of higher mathematical education in Russia, which led to a significant change in the curriculum and the need to establish new relationships of disciplines. The aim of the article is to find ways to solve the problem of the interdisciplinary connections in the teaching of present course “Analytical geometry” and “Algebra” in higher education. The leading method of the study of this problem is the methodical analysis and subsequent synthesis, which allows, having analyzed the didactic content of the "Analytical Geometry" and "Algebra"courses, to identify the necessary interdisciplinary communication between them and find ways to implement them through the use of modern educational technologies. It is proved that one of the instruments for implementing these methods is a computer, in particular systems of computer mathematics (Maple, Mathematica). Article submissions may be useful to teachers of mathematical disciplines of higher education institutions