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Algebraic Equations Calculations
Kuchařová, Eva ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
This work investigates the solution of linear algebraic equations by a conversion to the system of differential equations. Moreover, several more frequently used methods are described in addition. The theoretical part of work describes the mathematical. Next, the examples of using the Matlab a TKSL programs are presented to show and compare the results of calculations. The source codes used are included. The work proves that the solution of algebraic equations by the conversion to the system of differential equations is applicable and further solved by the Euler's method. The parallel solution is also described. As the output of this work, the lin2dif program was developed. It realizes the conversion among the systems of equations. Finally, the description of the work progress, design, implementation and usage of the program are summarized.
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Algebraic Equations Solution Convergence
Sehnalová, Pavla ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
The work describes techniques for solving systems of linear and differential equations. It explains the definition of conversion from system of linear to system of differential equations. The method of the elementary transmission and the transform algorithm are presented. Both of methods are demonstrated on simply examples and properties of conversion are shown. The work compares fast and accurate solutions of methods and algorithm. For computing examples and solving experiments following programs were used: TKSL and TKSL/C. The program TKSL/C was enriched with the graphic user interface which makes the conversion of systems and computing results easier.
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Use computers by teaching mathematics at elementary school
MÁCHA, Pavel
This work thesis is dealing with interactive geometry software GeoGebra. Several use cases for educational purposes in elementary schools are proposed and described in detail. This work is mainly focused on construction of triangles, trigonometric functions, systems of equations and tasks related to motion and presentation of cube. Each example is followed by an application created in GeoGebra. With these GeoGebra applications you can easily change parameters with sliders and therefore further work is possible. This thesis provides step-by-step guide how to create each example which is helpful for both teachers and their pupils. Attached CD contains all discussed examples which can be directly used by teachers in elementary schools to support a classwork during math lectures. In the final part of this thesis advantages and drawbacks of dynamic geometry are proposed and short comparison of GeoGebra and Cabri programs is suggested.
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