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Characterization of basic functions
Petrášová, Anna ; Řehák, Pavel (referee) ; Čermák, Jan (advisor)
This bachelor thesis deals with characterization of basic functions, namely selected elementary and higher functions. Functional equations provide a useful tool for characterizing these functions. There is performed characterization of the linear function, power function and its special cases, logarithmic and exponential function, trigonometric functions and Euler Gamma function.
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Characterization of basic functions
Petrášová, Anna ; Řehák, Pavel (referee) ; Čermák, Jan (advisor)
This bachelor thesis deals with characterization of basic functions, namely selected elementary and higher functions. Functional equations provide a useful tool for characterizing these functions. There is performed characterization of the linear function, power function and its special cases, logarithmic and exponential function, trigonometric functions and Euler Gamma function.
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Use of e-learning materials for the theme Functions for the 9th grade
Kamená, Martina ; Novotná, Jarmila (advisor) ; Jančařík, Antonín (referee)
The aim of the diploma theses is to find out if the study in a form of an e-learning course is more beneficial to the student than the isolated study text. To find the benefits, the research among nineth grade students from two different schools was done. A study text called Functions for the nineth grade was prepared together with a collection of solved and unsolved problems. Based on this text an e-learning course called Functions for the nineth grade was prepared. The e-learning course was placed on the website linked http://funkcepro9r.maweb.eu/. For the communication of the students and the tutor of the course, for the completion of the compulsory tasks and for the carrying out the study agenda, the modul iTřída on the web link itrida.dumy.cz was selected. Both forms of the study materials were tested by the nineth grade students on two selected schools. The efectivity of both of the forms was tested by the written test. The evaluation of the both forms was done by the electronic questionnaire. According to the results of the written test, the students which used the isolated study text were more succesful than the students studying the e-learning course. The results of the questionnaire verified that the study text was more acceptable for the students. The e-learning course did not suit the...
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A digest of solved problems offunction for lower secondary school
KARLOVSKÁ, Tamara
The aim of the bachelor thesis is to create an exercise book for primary schools in the field of mathematical functions. The paper serves for understanding of the whole topic of functions of a real variable at upper primary education including assignment of functions, graphs of functions and theoretical properties. Moreover, the thesis deals with single types of taught mathematical functions including linear functions, direct proportion, quadratic functions and indirect proportion. Furthermore, the paper is focused on graphical solutions of systems of equations using the mathematics software Geogebra.
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