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PROBLEMS IN PHYSICS FOR INFORMATICS COLLEGE // Tomsk State Pedagogical University Bulletin. 2016. Issue 8 (173). P. 89-95

The article provides examples of problems in electrodynamics, used in the educational process of Higher College of Informatics of Novosibirsk state University. In the presented material it is shown that the use of computer methods significantly expands the range of problems in relation to complexity and variety of applications of acquired knowledge. Numerical evaluation of integrals and the integration of differential equations allows us to circumvent the mathematical difficulties encountered in solving physics problems. Graphical methods and animation allow you to present the results in a visual form and make the process of solving problems more attractive. The use of computers in the study of physics, refreshes, stimulates and improves programming skills, knowledge of numerical methods for solving mathematical problems. The obtained knowledge can be used when studying different applications of physics: electronics, mechanics. Experience has shown the need to introduce computer methods in standard program in physics and the development of appropriate teaching materials.

Keywords: physics problems, computer modelling

SYSTEMS OF COMPUTER MATHEMATICS AND SOME QUESTIONS OF TEACHING THERMODYNAMICS AND STATISTICAL PHYSICS // Tomsk State Pedagogical University Bulletin. 2017. Issue 4 (181). P. 89-95

Computer algebra systems are now ubiquitous in all areas of science and engineering. Mathcad is one of the most successeful and widely used mathematical package. The capabilities of the mathematical package Mathcad are used to compute approximate solutions of different kinds of equations from statistical physics and thermodynamics. Solved numerically the equations in which the unknown enters under the integral sign. The presented examples are of independent interest to the students and teachers that use numerical methods. The equation of heat balance is difficult to solve when the specific heat depends on temperature and this dependence is given in the form of a table. Spline interpolation is applied to solve the heat balance equation in such a case. Debay’s theory of heat capacity of crystals well describes the temperature dependence of specific heat capacities of some substances. The Debay’s theory is used to numerically solve the heat balance equation for aluminium and copper. Distribution Fermi–Dirac can be used for calculations if the chemical potential is known. The chemical potential implicitly depends on the concentration and temperature. It is shown how to numerically calculate the chemical potential. Shows how to solve numerically and graphically an equation arising in the derivation of the Wien’s shift law. With the help of Planck’s formula determines the temperature of the stars having a maximum proportion of radiation in the visible range. Provides the problems associated with the Maxwell distribution. Without the Boltzmann distribution the pressure of the isothermal atmosphere at a specified altitude is calculated.

Keywords: computer mathematics systems, spline interpolation, numerical solution of equations, statistical distribution

PHYSICS OF OSCILLATIONS AT THE COLLEGE OF INFORMATICS // Tomsk State Pedagogical University Bulletin. 2017. Issue 8 (185). P. 68-77

Numerical methods allow to circumvent the difficulties associated with lack of mathematical knowledge among the college students who are required to study physics. Using elementary numerical methods the models of various oscillating systems are built. A pendulum, a piston moving in a cylinder under the effect of pressure difference in a cylinder and a material point oscillating around the circumference under the action of elastic force, show a qualitatively different dependence between the amplitude and period of oscillations. Through the numerical solution of differential equations of the mathematical package MathCAD studied the motion of Kapitsa pendulum with a non-trivial restoring force. Construction of two - and three-dimensional graphs in MathCAD is applied to combine mutually perpendicular oscillations and obtaining Lissajous’s figures. Self-oscillating systems are presented in the form of models of the RC- oscillator with three-tier phase-shifting circuit negative feedback and the Wine’s oscillator. An example of relaxation oscillator is the model of the multivibrator on the dynistors. At the heart of a computer model of the generator on the tunnel diode is the use of current-voltage characteristics of N-type containing a section with negative resistance. The material may be used in the process of teaching physics at advanced level in secondary schools and junior courses of higher educational institutions.

Keywords: computer model, nonlinear oscillations, Kapitsa pendulum, RC oscillator, multivibrator, Lissajous figures, tunnel diode