Physics in Higher Education
V. 20, No. 3, 2014
The contents
5
To Organization of the Physics Practicum at the Technical University
À.N. Morozov, Î.S. Erkovich, S.L. Timchenko, Ì.L. Pozdyshev
20 A New Course «Information and Communication Technologies in the Physical Education»
in the Learning System of Bachelors in Pedagogical Universities
N.V. Kalachev, A.V. Smirnov, S.A. Smirnov
28 To the History of the General Physical Practicum. The Electricity and Magnetism
V.I. Kozlov
34 Educational RadioElectronics Laboratory: from Basis to Modern Technologies
O.J. Volkov, I.V. Rymiantzev, N.A. Suhareva, A.P. Sukhorukov
50 Application of Modern Technologies for Modernization of Laboratory Workshop
on Wave Optics
B.V. Karelin, A.A. Kozhevnikov, M.G. Pashchenko
54 Physical Properties of Standing Waves in Nonreciprocal Media and Structures
A.G. Glushchenko, E.P. Glushchenko
58 Computer Laboratory Work «The Hydrogen Atom in Quantum Mechanics»
S.N. Slabzhennikov, I.M. Slabzhennikova
65 Improper Use the Gaussian Distribution Model for Random Error Assessment during
Experiment with Small Volume Samples
Yu.B. Kotov, T.A. Semenova
82 New Nominations and Results of 2014 Russian National Student Olympic Competition in Physics
V.N. Beloborodov, V.N. Ignatov, N.P. Kalashnikov, A.S. Olchak, D.A. Samarchenko,
E.A. Khangulyan
100 The Approximation Technologies in Research Work
Yu.B. Kotov, T.A. Semenova
116
Clarification of Details of the FermiDirac Distribution
A.N. Luzin
119 Selforganization of the Turbulence Currents in Tube
A.V. Semenov
131
Use of Graphistructural Stepbystep Solution Algorithm of Standard Physical Problems
with the Purpose of Increase of Efficiency of Independent Work of Students of Technical
Universities
S.A. Minabudinova, N.A. Khmyrova
137 New Application of Mathematics in Teaching Physics and Technical Disciplines
A.N. Luzin
145 Role of the Mathematics Device to Ensure the Level Fundamental Physics Course
A.M. Bezuglov, Y.I. Kurakov, M.V. Maksimenko
151 Coherent Combination of the Historic Contents and Basic Material of the Physics Course
in Medical Universities
A.V. Korjuev, E.V. Shevchenko
To Organization of the Physics Practicum at the Technical University
À.N. Morozov, Î.S. Erkovich, S.L. Timchenko, Ì.L. Pozdyshev
Moscow State Technical University named after N.E. Bauman
27nd Baumanskaya str., Moscow, 105005, Russia, e7mail: erkovitch@mail.ru
This work shows the historical development way of the laboratory training of the physics chair at Moscow State Technical University named after N.E. Bauman, one of the oldest technical universities of Russia. The review of the current state of the laboratory training on the basis of an educational and laboratory complex of physics chair – «The house of physics» of MSTU named after N.E. Bauman intended for students‘ training of all faculties and specialties is given. The role of technical equipment of a modern laboratory training for high& quality development of physics course, studying of modern methods of an experimental investigation of the physical phenomena and processes, obtaining practical experience on the basis of innovative developments, adaptation in application of fundamental knowledge at the solution of applied and technical tasks is noted. It was shown that the laboratory training for the course of general physics studying functions together with research laboratories for students‘ works that allows developing of three& stage system for laboratory practice intended for the students of all preparatory directions realized on the physics chair of the university.
Keywords: laboratory practical work, social and personal competences, student‘s research work, threestage educational system.
References
 Y.G. Tatur. Educational process at the university: methodology and design experience (Moscow, MSTU n.a. N.E. Bauman, 2009) [in Russian].
 G.V. Balabina. History of the Physics Department of the Bauman Moscow State Technical University (Moscow, MSTU n.a. N.E. Bauman, 2012) [in Russian].
 A.N. Morozov, N.A. Zadorozhnyi, S.L. Timchenko. 20 years of laboratory practical work on physics with elements of student’s research work (Vestnik MSTU n.a. N.E. Bauman. Ser. Natural science, No. 5, 44 (2012). [in Russian].
 N.A. Zadorozhnyi, N.V. Kalachev, A.N. Morozov, S.L. Timchenko. Specialized laboratory practical work in physics (NIRS) &20 years (Physics in Higher Education, v.18, No.4, 59(2012). [in Russian].
 O.S. Erkovich, S.P. Erkovich, A.A. Esakov, I.S. Golyak. The formation of the matrix of competencies as a design tool program of a discipline (Physics in Higher Education, v.18, No.3, 27 (2012). [in Russian].
 O.S. Erkovich, S.P. Erkovich, A.N. Morozov, A.A. Esakov, I.S. Golyak. The matrix method formation of the program of educational discipline “Physics” (Physics in Higher Education, v. 18, No.3, 32 (2012). [in Russian].
A New Course «Information and Communication
Technologies in the Physical Education» in the Learning System of Bachelors in Pedagogical Universities
Nikolay Kalachev*, Aleksandr Smirnov, Sergey Smirnov
Moscow Pedagogical State University, Department of Theory and Methods of Teaching Physics
*Financial University under the Government of the Russian Federation Email: nkalachev@fa.ru,smirnovav@rambler.ru,drv.serge@gmail.com
Describes a program of specialized course «Information and communication technologies in the physical education» of the undergraduate teacher education at the Faculty of physics and information technologies at the Moscow Pedagogical State University. The knowledge acquired during the course, the students are entering teaching practices and in the preparation of the final qualifying works.
Keywords: information technology, communications technology, physical education, tools and training methods.
References
 Smirnov A.V. Technique of Application of Information Technology in the Teaching of Physics. –Ì.: Publishing Centre «Academy», 2008. –305 p. [in Russian].
 Smirnov A.V., Smirnov S.A. Learning Environment and Learning Physics. The Monograph. –Ì.: School of the future, 2009. – 483 p. [in Russian].
 Kalachev N.V., Smirnov A.V. Forms of Problemoriented Workshops in Physical System / Design Methodology of Distance Learning in Physics. Educational Institutions, Universities. Reports of the International Scientificallypractical Conference. – Ì.: publishing MGOU, 2009. –P. 10%12.
 Kalachev N.V., Smirnov A.V., Smirnov S.A. Informationmeasuring System for Problemoriented Workshops with Remote Access // Physics in Higher Education. –Volume 18, number 1, 2012. – P. 140%148.
 Smirnov A.V., Smirnov S.A. Didactic Basics of Complex Application of Electronic Educational Resources in Teaching Physics//School of the Future – no. 2 – 2012, p. 115%119.
 Kalachev N.V., Smirnov A.V., Smirnov S.A. Formation of Professional Competences of the Creative Nature of the Methodical System of Experimental Training for Physics of Pedagogical Universities Students // Physics in Higher Education. – Volume 19, number 1, 2013. – P. 31%36.
 Venslavskij V.B., Kalachev N.V., Ponomarev A.V., Smirnov A.V., Smirnov S.A. New Tools for the Training of Future Teachers of Physics and Technology for Electronics at the Profile Level // Physics in Higher Education. – Volume 19, number 4, 2013 – p. 101%106.
To the History of the General Physical Practicum.
The Electricity and Magnetism
V.I. Kozlov
Lomonosov Moscow State University
Moscow, Leninskie gori, 119991, GSP1, d. 1, stroenie 2; email: kozlov1937@mail.ru
In 2009 year is passed hundred years after issue of the first manual to execution of laboratory works by physics of professor Moscow University A.P. Sokolov [1]. After this time in Moscow University and in other higher educational institutions and abroad are created a great number of laboratories works, are dedicated to study of different physical phenomenon and physical laws by means of most various methods. At the physical faculty MSU is created the books [2, 3] according to materials of educational textbooks of different colleges, dedicated to the physical practicum, dedicated to laboratories works in mechanics and molecular physics, according to materials of articles in different journals, including the referative journal of physics. In these books is collected the information about laboratories works by mechanic and molecular physics, published for the last hundred years. In this article is present the book, in which are described laboratories works by electricity and magnetism, are published in these years.
Keywords: general physical practicum, physical phenomenon, electricity, magnetism, laboratory work.
References [in Russian]
 A.P. Sokolov. Physical practicum. Textbook to exercises for beginners in the physical laboratory of Physical faculty of the Moscow State University (M. , 1909).
 K.P. Jakovlev. Physical practicum. V. 2. Molecular and termal phenomena. Electricity and magnetism. Optica and building of atom (M.L. , 1949).
 Physical practicum. Under Ed. Prof. V. I. Iveronova. Comp. A. G. Beljankin, E.S. Chetverikova, I.A. Jakovlev. (M., 1951).
 V.I. Kozlov. General physical workshop. Electricity and magnetism. Ed. Moscow University, 270 p., 1985.
 V.I. Kozlov. Antology of the general physical practicum. Mechanics. 247 p. , 2010.
 V.I. Kozlov. Anhology of the general physical practicum. Molecular physics. 171 p., 2010.
 V.I. Kozlov. Anhology of the general physical practicum. Electricity and magnetism. 251 p. , 2012.
Educational RadioElectronics Laboratory:
from Basis to Modern Technologies
O.J. Volkov, I.V. Rymiantzev, N.A. Suhareva, A.P. Sukhorukov
Faculty of Physics M.V. Lomonosov Moscow State University Photonics and microwave physics division
Leninskie Gory, Moscow 119991 Russia; email: volkov@physics.msu.ru
Updated structure of digital section general radioelectronics practicum for students of physics faculty at M.V. Lomonosov Moscow State University is presented. Laboratory tasks is divided into studying of elementary logic and creation more difficult structures on the basis of the programmable logical integrated schemes. Studying of the automated design system (Xilinx ISE WebPACK with free license), description of digital devices on VHDL, ISim simulations are included in the training program.
Keywords: general physics practicum; radioelectronics; digital electronics; CPLD.
References [in Russian]
1. Trofimenko I.T., Lebedeva E.V., Sedletskaya N.S. Workshop Forums: Proc. allowance. ed. A.P. Sukhorukov: M., 1997. – 204 p.
2. http://www.xilinx.com (date accessed: 20.08.2013)
3. Production and installation of development boards [manufacturer’s]: http://www.ldm?systems.ru/ doc/xilinx/DS?XC95XXX?VQ44?1.1.pdf (date accessed: 20.08.2013)
4. GOST R 50754?95 Hardware description language digital systems. – VÍDL. Description of the language. 135 p.
5. Tarasov I.E. Development of digital devices based on Xilinx FPGAs using language VHDL, Hotline – Telecom, 2005, ISBN: 5935172429.
6. K. Boit. Digital electronics. M.: Technosphere, 2007. – 472 p., ISBN 785948361246, 3802319583.
7. B. Sklar. Digital Communication. Theoretical basis and practical application, M.: Williams, 2007. – 1104 p., ISBN 9785845904973, 0130847887.
8. Volkov O.Yu. Workshop on Radiophysics: digital circuits. Teaching aid. – Moscow, Publishing House of the Faculty of Physics, Moscow State University, 2013. – 26 p.
Application of Modern Technologies for Modernization
of Laboratory Workshop on Wave Optics
B.V. Karelin, A.A. Kozhevnikov, M.G. Pashchenko
Moscow State University of Railway Engineering 75a Uritskogo str., Voronezh, 394026, Russia Email: akozhev@yandex.ru
The complex laboratory setting for the study of the polarization phenomena is presented. The polarizer rotation is controlled by absolute encoder, and treatment of information is executed in the LABVIEW environment.
Keywords: laboratory unit, encoder, polarization tape, photodiode.
References [in Russian]
1. O.P. Matveev and E.E. Fiskind, Physics in Higher Education, No. 2, 90 (2011).
Physical Properties of Standing Waves
in Nonreciprocal Media and Structures
A.G. Glushchenko, E.P. Glushchenko
Volga State University of Telecommunications and Informatics,
443 090, Samara, Moscow Highway 77, Department of Physics, Russia; email: zep646@yandex.ru
It is consider the interference of the forward and backward waves in nonreciprocal media and structures. An equation of a standing wave in a non%reciprocal media. It is shown that nonreciprocity parameters of structures leads to a change in the parameters and the characteristics of tera standing waves, in particular, is being in%phase oscillations in the framework of spaced points of space.
Keywords: electromagnetic waves, nonreciprocal structure and media, standing waves.
References [in Russian]
 Savelyev I.V. General physics course. Vol. 1%4. – M.: KnoRus, 2009. – 1856 p.
 Gluschenko A.G., Zaharchenko E.P. Promote transparency transcendent structures with active
sredami. – LAP LAMBERT Academic Publishing, 2011.– 186 p.
Computer Laboratory Work «The Hydrogen Atom in Quantum Mechanics»
S.N. Slabzhennikov1, I.M. Slabzhennikova2
1 Far Eastern Federal University
8 Suhanova str., Vladivostok, 690950, Russia Email: slabzhennikov.sn@dvfu.ru
2 Far Eastern State Technical Fisheries University 52b Lugovaya str., Vladivostok, 690087, Russia
An example of a computer laboratory work, which forms the initial theoretical research skills of students, has been given in this article. Implementing the proposed laboratory work, students pass through basic stages of research, beginning from a construction of a model of a phenomenon, and ending interpretation of virtual experimental data.
Keywords: computer laboratory work, physics simulation, forming research skills.
PACS: 01.50.H, 02.70.c, 32.30.r
References [in Russian]
1. I.M. Slabzhennikova, O.F. Lapanik, Physics in Higher Education 18(1), 87 (2012).
Improper Use the Gaussian Distribution Model for Random Error Assessment during Experiment with Small Volume Samples
Yu.B. Kotov1, T.A. Semenova2
1 Keldysh IAM RAS; e9mail: kotsem@voxnet.ru
2 NRNU MEPHi; e9mail: contreraskosha@yandex.ru
Almost any random deviations processing observed in workshops is based on the Gaussian distribution and the Student’s tAtest. Application of such statistics in each case requires verification of experimental distribution for distribution normality. Despite abundance of literature on mathematical statistics the authors found it necessary to remind the reader that the Gaussian statistics is inapplicable for small volume samples. Its demands the obligatory checking the data with normality criteria. We believe that all university workshop manuals should be reviewed and adjusted from this point of view.
Keywords: workshop, measurements, random deviations processing, normal distribution, Gaussian distribution, Student’s tAtest, median, quantile, normality criteria.
References [in Russian]
 Kendall M.J., Stewart A. The theory of distributions. M.: Fizmatlit, 1966. – 588 p.
 GOST R ISO 5479A2002. Statistical methods. Checking the deviation of the probability distribution from the normal distribution. / http://standartgost.ru/ÃÎÑÒ Ð ÈÑÎ 5479A2002.
 Gnedenko B.V. Course on probability theory. – M.: Fizmatlit, 1965. – 400 p.
 Resnick A.D. The book is for those who do not like statistics, but I have to use it. – SPb .: Speech, 2008. – 265 p.
 Models and Concepts of Physics: Mechanics. Laboratory workshop. Processing of measurement results. M.: MIPT, 2011. – 42 p.
 Vadzinsky R.N. Handbook of probability distributions. SPb.: Science, 2001. – 295 p.
 Basic concepts of measurement, instrumentation and methods for the determination of measurement error / Study guide for physics practicum for students of physical and mathematical sciences. A Veliky Novgorod Novgorod. State. University, 2010. – 80 p.
 Svetozarov V.V. Fundamentals of statistical processing of the measurement results. M.: MiFi, 2005. – 40 p.
 Kravchenko N.S., Revinskya O.G. Methods of processing the results of measurements and estimates of the errors in the learning laboratory practice. –Tomsk Univ. Tomsk Polytechnic University, 2011.– 88 p.
 Svetozarov V.V. Elementary analysis of measurements. M.: MiFi, 2005. – 52 p.
 Laboratory workshop "Electrical appliances. Electromagnetic Oscillations and AC. " – M.: MiFi, 2009. – 64 p.
 A.I. Efimova, Zoteev A.V., A.A. Sklyankin. General physical workshop of the Physics Department of Moscow State University. Experimental error. – M.: Ed. MSU, 2012. – 39 p.
 Volkov A.F., T.P. Lumpieva. Laboratory workshop on physics. – Donetsk National Technical University, 2011. – 389 p.
 Emelyanov V.A., Lin D.G., Sholokh V.F. Methods of processing the results of measurements in the laboratory fizpraktikuma. – Minsk: Bestprint, 1997 . – 90 p.
 Barinova I.V., Kotov Yu., Skliarenko G.A., Gurieva V.M., Burumkulova F.F., Melnikov A.P., Shidlovskaya N.V. The diagnostic value of the mass of the placenta as a measure of the functional state of the fetoplacental complex // Bulletin of the Russian Association of Obstetricians and Gynecologists. 2010. ¹ 5. P. 3.
 Molecular Physics: Laboratory practical / Ed. prof. A.D. Afanasyev. –Irkutsk: ISU, 2003. – 157 p.
 Tkalich V.L., R.Ja. Labkovskya. Processing of the results of technical measurements. Petersburg .:ITMO. 2011. – 72 p.
New Nominations and Results of 2014 Russian National
Student Olympic Competition in Physics
Vladimir Beloborodov, Vladimir Ignatov, Nikolai Kalashnikov, Andrei Olchak, Dmitry Samarchenko, Elena Khangulyan
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Kashirskoe sh. 31, Moscow, 115409 Russia
Email: vbelob@mail.ru,VNIgnatov@mephi.ru,kalash@mephi.ru,ASOlchak@mephi.ru,DASamarchenko@mephi.ru,EVKhangulyan@mephi.ru
The results of the Russian National Student Olympiad in Physics held at the Russian National Nuclear Research University MEPhI in May 2014 are analyzed. Issues concerning its organization and problems are discussed. Special emphasis is laid on the discussion of Olympiad problems and the participants' achievements. Statistical analysis of the final results and the winners list in various nominations for both personal and team championships are also provided.
Keywords :Russian National Student Olympic Competition in Physics; physics; education; motivation of students; priorities in technical development.
PACS: 01.40.d, 01.40.gf
Refferences [in Russian]
 N. Kalashnikov, A. Olchak, D. Samarchenko, E. Khangulyan. The National Physics Student Contest (Olympiad) in National Research Nuclear University «MEPhI» in 2013. The Organization and Conduct Experience. Physics in Higher Education, 2013, v. 19, (3), p. 1318.
 V. Beloborodov, S. Muraviev. Measuring Properties of Physics «Rosatom» Olympiad (for Graduates of High Schools).Physics in Higher Education, 2014, v. 20, (1), p. 120132.
The Approximation Technologies in Research Work
Yu.B. Kotov1, T.A. Semenova2
1 Keldysh IAM RAS; email: kotsem@voxnet.ru
2 NRNU MEPHi; email: contreraskosha@yandex.ru
We discuss an approximation approach possibilities to use them in research experimental work. A primary hypothesis structure and approximation model creation allow us at early investigation phases to specify a problem definition and to choose the optimal way of search. Approximating technologies are illustrated by two task classes. One class belongs to medicine field having usually data incompleteness or their random appearance. The another one contains the explosion physics data with complex time structure.
Keywords: hypothesis, data processing, distributions, median, quantile, quartile, approximating models.
PACS: 6207, 6209, 62Gxx, 65xx
References [in Russian]
 Kotov Yu.B. New mathematical approaches to problems of medical diagnostics. M.: Editorial URSS. 2004. 328 p.
 Selivanenko V.T., Kotov Yu.B. Capability to predict the development of early hypertension after removal of aortic coarctation // Thoracic Surgery, 1985 (6). P. 36 38.
 John Tukey. Analysis of the results of observations. Exploratory analysis. M.: World, 1981. 696 p.
 Perturbations of the magnetic field of the Earth and earth currents in highaltitude nuclear explosions / Overview according to open foreign press. M.: Atomizdat, 1966. 58 p.
 Geomagnetic disturbances from pulsed sources / Ed. T.A. Semenova and V.F. Fedorov. M.: MEPhI, 2010. 420 p.
 Zablocki K. Electromagnetic disturbance in underground nuclear explosions / Coll. Nuclear explosion in space, on earth and under the earth. (Electromagnetic pulse of a nuclear explosion). M.: Military Publishing, 1974. pp. 100–129.
 Sweeney J.J. An Investigation of the Usefullness of Extremely LowFrequency Electromagnetic Measurements for Treaty Verification. Livermor: Univer. Cflif., Lawrence Radiation Lab. 1989 (UCRL53899 DE89 010560), 61 p.
Clarification of Details of the FermiDirac Distribution
A.N. Luzin
Siberian State Academy of Geodesy
10 Plakhotnogo st., Novosibirsk, 630108, Russia
Email: tyushev@ngs.ru
It is shown, that the range of values of fermions energy, in which the distribution is significantly different from the step, substantially exceeds 4kT.
Keywords: dependence between the mean number of fermions and their energy,
tangent, inflection point.
References
1. A.N. Lusin, in Proc. X Intern. Conf. «Physics in System of Modern Education», St. Petersburg,
2009, 2, 313. [in Russian]
Selforganization of the Turbulence Currents in Tube
A.V. Semenov
Samara University of Architecture and Civil Engineering
Email: physicssgasu@rambler.ru
This article describes the stationary – nonequilibrium turbulent flow in a pipe, taking into an account the physical kinetics of self–organizing, transferring energy. Theoretical results are compared with known experimental researches.
Keywords: turbulence, self – organization, nonlinearity.
References [in Russian]
 A.A. Townsend. The structure of turbulent flow with the shear. M.: Literature, 1959, 400 p.
 Aivazyan O.M. Basics of hydraulics uniform currents. MoscowIzhevsk: “Regular and Chaotic Dynamics”, Institute of Computer Science, 2006, 152 p.
 Khlopkov Yu.G. Lectures on theoretical methods of investigation of turbulence / Yu.G. Khlopkov, V.A. Zharov, S.L. Gorelov. M.: MIPT, 2005, 179 p.
 Kolesnichenko A.V. Synergetic approach to the description of stationary nonequilibrium turbulence astrophysical geophysical systems. Preprint, Keldysh Inst. I.M. Keldysh. M.: RAS. 2003, 37 p.
 L.D. Landau. Theoretical physics. Hydrodynamics / L.D. Landau, E.M. Lifshitz. M.: Science. Chap. Ed. Fiz.  Mat. Lita., 1986, 736 p.
 Povkh I.L. Technical Hydromechanics. L.: Engineering (Leningrad. branch), 1976, 504 p.
 Emtsev B.T. Technical Hydromechanics. M.: Machinery, 1987, 440 p.
 Repik E.U., Sosedko Yu.P. Turbulent boundary layer. The methodology and results of experimental studies. M.: FIZMATLIT, 2007, 312 p.
 Lapin Yu.V., Nekhamkina O.A., Streletz M.H. The twolayer threeparameter model of the transition and turbulent steady flow in a circular tube with smooth walls. TVT, 1995, Vol. 33, ¹ 1, – 4953 pp.
 Chesnokov Yu.G. Effect of Reynolds number on the laws of turbulent flow in a plane channel // Tech. 2010, Volume 80, no. 12, pp. 3338.
 Ktitorov S.A. Selfconsistent theory of turbulence // Tech, Volume 33, no. 16, 2007, PP. 5457.
 G. Nicolis and I. Prigogin, Exploring Complexity. M.: World, 1990, p. 149.
 Malanin V.V., I.E. Poloskov. Random processes in nonlinear dynamical systems. Analytical and numerical methods. Izhevsk: “Regular and Chaotic Dynamics”, 2001, 160 p.
 Aleshkevich V.A., Belkin P.N. Evolutionarily synergetic paradigm in physical education. // Physics in Higher Education. Volume 19, ¹ 4, 2013, pp. 315.
 Moiseev N.N. Parting with ease. M., “Agraf”, 1998. – 480 p.
Use of Graphicstructural Stepbystep Solution Algorithm of Standard Physical Problems with the Purpose of Increase of Efficiency of Independent Work of Students of Technical Universities
S.A. Minabudinova, N.A. Khmyrova
Omsk State Transport University, 35 Karl Marx str., Omsk, 644046, Russia
email: minabudinovasa@mail.ru; nataruban@mail.ru
A visual structural stepbystep algorithm of solution of standard physical problems has been developed. The algorithm has been executed in the form of controlflow chart and represents the operating sequence with the opportunity of analysis of necessity of one or another operation depending on actual problem situation. One noticed that the using of the algorithm in the course of selfstudy of a student gives positive results.
Keywords: methods of general physics teaching at technical universities, independent work of students, algorithm of the working on physical problems.
References
 T.A. Aronova, S.N. Krokhin, S.A. Minabudinova, Problems of mathematical and natural& scientific preparation in engineering education (Moscow, 2012) [in Russian].
 B.S. Belikov, Solution of physical problems (Moscow, 1986) [in Russian].
 V.M. Kirilov, V.A. Davydov, Solution of physical problems (Moscow, 2006) [in Russian].
 Toder G.B., Problems of mathematical and naturalscientific preparation in engineering education (Moscow, 2012) [in Russian].
New Application of Mathematics in Teaching Physics
and Technical Disciplines
A.N. Luzin
Siberian State Academy of Geodesy
10 Plakhotnogo st., Novosibirsk, 630108, Russia Email: tyushev@ngs.ru
Two quadratic functions taken from physics textbooks can be transformed by deriving a perfect square. The fractional rational function is offered to be brought to the form which makes it possible to see (without differentiation) that with certain value of the argument the function has its extreme; its value can be seen.
Keywords: visually identifiable extremum, quadratic functions, deriving perfect square, fractional rational function.
References [in Russian]
 A.N. Lusin, in Proc. IX Intern. Conf. Physics in System of Modern Education, St. Petersburg, 2007, 2, p. 434.
 A.N. Lusin, Physics in Higher Education, Moscow, 2013, 19, ¹ 1, p. 70.
 S.M. Nikolskii, Course of the mathematical analysis, 1, Moscow, 1975.
 A.N. Kolmogorov, Algebra and elements of analysis, Moscow, 2004.
 B.P. Demidovich, A collection of tasks and exercises in mathematical analysis, Moscow, 1990.
 A.N. Lusin, in Proc. VIII Intern. Conf. «Physics in System of Modern Education», St. Petersburg, 2005, p. 47.
 A.N. Lusin, V.N. Matusko, Electrotekhnika, Moscow, 2013, ¹ 9, p. 47.
 I.E. Irodov, Tasks in the General Physics, Moscow, 1979.
 A.N. Luzin, Physics in Higher Education, Moscow, 2012, 18, ¹ 3, p. 105.
Role of the Mathematics Device to Ensure the Level of Fundamental Physics Course
A.M. Bezuglov, Y.I. Karakov, M.V. Maksimenko
Shakhtinskii Institute (branch) of the SouthRussian State Technical University (Novocherkassk Polytechnical Institute), Department of natural sciences
346500 Russia, Rostov region, mines, pl. Lenina, 1, email: phisycs@yandex.ru
The paper presents examples of topics and objectives of the course of physics in which the crucial role played by mathematical methods of description of the phenomenon or process.
Keywords: physical meaning, analysis, skill, the mathematical apparatus.
Coherent Combination of the Historic Contents and Basic
Material of the Physics Course in Medical Universities
A.V. Korjuev, E.V. Shevchenko
First Moscow Medical University named after I. M. Sechenov Òrubåtskàóà str, 8, Mîscow, 103152, Russia
Email: akorjuev@mail.ru
Irkutsk State Medical University Kràsnogo vosstàniyà str, 3, Irkutsk, 663051, Russia
The possibility of inclusion historic contents in the physics course in medical universities is discussed in the article. Attention is focused on the theory of a nerve pulse (action potential) genesis and its properties which was constructed by HochkinHuxley in the middle of XXth century.
Keywords: biomembrane, transmembrane potential difference, potassium and sodium electric current, ion channels, HochkinHuxley model used for description exitable biomembrane.
Råfårånñås [in Russian]
 Âårkinblit M.Â., GlàgolåvàÅ.G. Ålåñtricity in living orgànisms. – Moscow: NÀUKÀ, 1988.
 À.V. Êorjuåv, Å.L. Ryàzànovà. Sciåncå ànd it’s måthods historic råconstruction in high mådic åducàtion // Physics in Higher Education, 19, No. 4, 2013, ð. 147154.
 Gårmàn. Physics dåscription of living orgànism. – Moscow: Mir (trànslàtåd from ånglish), 1998.
 À.V. Korjuåv, Å.V. Shåvchånko, N.A. Khlopånko. Âiomåmbrànå thåory in biophysics in thå fiåld of idåàs figth // Sibirskiy Medicinskiu Journal, No. 6, 2005, ð. 121"124.
 Ju. Vlàdimirov, À. Ðotàðånko. Âiophósic dåscription of cålls, orgàns ànd sóståms. – Moscow: ÌGU, 2008.
