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Using graphic display calculator in solving some problems with polynomials

Jureczko J.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2014

Vol. 19

83--93

A graphic display calculator (GDC) is becoming more and more popular in teaching mathematics as it is used to examine some mathematical activities of students of almost all ages. Various modes of GDC are considered to be a useful tool in understanding of particular parts of mathematics. In most cases the properties of functions are examined by observation of their graphs. However, there are some properties of the functions which one cannot see during the graphs analysis (for example properties concerning complex roots of polynomials). The aim of this paper is to analyse how 17-and-18-year-old students for whom GDC is an obligatory device can generalize some relations between polynomials and so called “shadows” of these functions. The whole paper is concerned with in investigation of properties of quadratic, cubic and quartic functions with both real and complex roots.

Application of microelectrodes for investigation of the oxygen electrode reaction in selected solid electrolytes

Raźniak A., Tomczyk P.

Materials Science Poland

2008

Vol. 26, No. 1

195--206

In a solid oxide fuel cell (SOFC), the most often used solid electrolyte is yttria stabilized zirconia. Usually, SOFC of a tubular geometry operates at ca. 1000 °C. To decrease the temperature of the cell, it is necessary to reduce the thickness of electrolyte or replace yttrium-stabilized zirconium with an other electrolyte of a much higher ionic conductivity. A potential candidate for an electrolyte in intermediate temperature SOFC is gadolinia doped ceria. The largest energetic losses in a fuel cell of this type, apart of ohmic polarizations, are attributed to slow kinetics of the cathodic process. In this work, investigated oxygen electrode reaction for two various electrolytes: yttria stabilized zirconia and gadolinia doped ceria. The measurements were conducted using microelectrodes for which analysis of kinetic parameters of the electrode reaction is easier. Gold electrodes were applied in the experiments. Although Au is a good electrocatalyst for oxygen reduction, almost no research has been done for this metal so far. The performance of the electrode and results of impedance measurements have been presented and discussed.