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Electromyography, measurement of muscle electric activity
Kořínek, Peter ; Provazník, Ivo (referee) ; Kolářová, Jana (advisor)
The task of this thesis was to become acquainted with the issue of measuring of muscle electric activity.In the theoretical part we became familiar with the computer measuringsystem BIOPAC and its options to measure monitored magnitudes. This continue with practical part, in which we watch the problematic according to a theory in a group of people. We learned data with BIOPAC according to protocol of the result of physicaleffort influence on EMG. In the end the results were statistically analysed. The data as a product offallowing research were verified by hypothesis. In thelast step, the data are presented in graphical user interface development environment. After loading of the EMG of measured person, the process are displayed-without, with and after the power with onus. It is possible to choose from different analyses.
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Finite Integrals Semi-Analytical Computations
Veigend, Petr ; Kunovský, Jiří (referee) ; Šátek, Václav (advisor)
This bachelor thesis explains the topic of semi-analytical computation of finite integrals. It contains the mathematical definition of finite integral, along with definitions and examples for several methods that can be used to solve finite integrals analytically. For the most part however, the thesis is trying to explain how to effectively and precisely approximate finite integrals on a computer. It deals with approximations by polynomials, but mostly with the correspondence between finite integrals and differential equations. This correspondence is used in two software projects that are the part of this thesis.
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Teaching basic calculus at the secondary school, case study
Hamšík, Karel ; Vondrová, Naďa (advisor) ; Kvasz, Ladislav (referee)
This thesis deals with teaching the basics of calculus in secondary school. These are specifcally those areas of mathematics (functions, derivatives, integrals) that are subsequently discussed in more depth at universities of science, technology, economics, and also other felds. Most university students will encounter these math problems at least to a small extent. Therefore, I am interested in the extent to which pupils are prepared to solve these problems after leaving high school. The second topic that I am interested in is how much the pupils encountered the topics and terms of calculus during their secondary school studies, how they understand them and whether or not they can use them. The aim of this thesis is to describe the methods used in education of elementary school calculus in a specifc seminar where this material is discussed and subsequently verify the ability of the pupils to independently solve problems from this feld of mathematics by a set of didactic tests and their subsequent analysis. The analysis showed that the subject of calculus is for the most part well understood by the pupils. The seminar therefore fulflls the prerequisites for a successful introduction to this subject, which can be successfully expanded on in further higher education. Key words: teaching calculus,...
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Volume of solids
Tvrdá, Monika ; Halas, Zdeněk (advisor) ; Staněk, Jakub (referee)
This didactic oriented bachelor project helps to approach an origin of relations for the volumes of solids taught at high school. It is focused on high school and university students. At the beginning the project shows historical meaning of the volumes of solids and the processes which were used to enumerate them in the ancient Egypt and Mesopotamia. Further, the project deals with the definition of volume of solids; it is based on Jordan's measure. The relations for volumes of the sorted solids are derived using the integral calculus. In the end the other ways of deriving of these relations are shown. At first, it is the method that Archimedes from Syracuse invented, furthermore by the visual imaginations and the Cavalieri's principle. 1
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Kurzweil-Stieltjes integral and its generalizations
Konopka, Filip ; Slavík, Antonín (advisor) ; Mošna, František (referee)
The thesis deals with the HKSp α integral, which is generalization of the HKS integral, its properties and the concepts of ordinary oscillation and p-oscillation, which are needed for the construction of the integral. This integral is non-absolutely convergent and more general than the Lebesgue integral. This thesis is based on recent results in the theory of integrals and its goal is to introduce this integral to a wide readership interested in mathematical analysis. 1
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Volume of solids
Tvrdá, Monika ; Halas, Zdeněk (advisor) ; Staněk, Jakub (referee)
This didactic oriented bachelor project helps to approach an origin of relations for the volumes of solids taught at high school. It is focused on high school and university students. At the beginning the project shows historical meaning of the volumes of solids and the processes which were used to enumerate them in the ancient Egypt and Mesopotamia. Further, the project deals with the definition of volume of solids; it is based on Jordan's measure. The relations for volumes of the sorted solids are derived using the integral calculus. In the end the other ways of deriving of these relations are shown. At first, it is the method that Archimedes from Syracuse invented, furthermore by the visual imaginations and the Cavalieri's principle. 1
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Finite Integrals Semi-Analytical Computations
Veigend, Petr ; Kunovský, Jiří (referee) ; Šátek, Václav (advisor)
This bachelor thesis explains the topic of semi-analytical computation of finite integrals. It contains the mathematical definition of finite integral, along with definitions and examples for several methods that can be used to solve finite integrals analytically. For the most part however, the thesis is trying to explain how to effectively and precisely approximate finite integrals on a computer. It deals with approximations by polynomials, but mostly with the correspondence between finite integrals and differential equations. This correspondence is used in two software projects that are the part of this thesis.
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Electromyography, measurement of muscle electric activity
Kořínek, Peter ; Provazník, Ivo (referee) ; Kolářová, Jana (advisor)
The task of this thesis was to become acquainted with the issue of measuring of muscle electric activity.In the theoretical part we became familiar with the computer measuringsystem BIOPAC and its options to measure monitored magnitudes. This continue with practical part, in which we watch the problematic according to a theory in a group of people. We learned data with BIOPAC according to protocol of the result of physicaleffort influence on EMG. In the end the results were statistically analysed. The data as a product offallowing research were verified by hypothesis. In thelast step, the data are presented in graphical user interface development environment. After loading of the EMG of measured person, the process are displayed-without, with and after the power with onus. It is possible to choose from different analyses.
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The Rieman integral and its applications
VOPÁLENSKÁ, Lenka
The main goal of my diploma work on the topic "The Riemann integral and its applications" is to create an overview that describes the individual use of the Riemann integral. The first three chapters deal with the history, the definition of the Riemann integral and with the calculation of integration. There is the overview of the individual use in the fourth chapter (area plane region, length plane curve, volume solid of revolution and area lateral surface solid of revolution) that is accompanied by solved examples, the examples are accompanied by graphical representation for a better idea. In the fifth chapter there is a collection of unsolved examples, for practising of the individual use. The collection is complemented by results for the reader to check the accuracy of calculation.
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