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Quality of teaching from students' point of view
Zeman, Jan ; Kasíková, Hana (advisor) ; Valenta, Josef (referee)
The bachelor thesis aims at the quality of teaching from students' point of view. The theoretical framework focuses on looking for current quality criteria of teaching components, into which belong students, teacher, educational forms and methods, and it also gains information from literature and empirical researches. In the empirical part, were collected students' ideas about the quality of individual teaching components by qualitatively oriented research. Purpose of this paper is to raise awareness about students' requirements of educational quality and to achieve increased satisfaction with the educational quality of both students and teachers. Key words: Teaching quality, student, evaluation, teaching methods, lecture, activation, transition to high school
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Gradient polyconvexity and its application to problems of mathematical elasticity and plasticity
Zeman, Jiří ; Kružík, Martin (advisor) ; Zeman, Jan (referee)
Polyconvexity is a standard assumption on hyperelastic stored energy densities which, together with some growth conditions, ensures the weak lower semicontinuity of the respective energy functional. The present work first reviews known results about gradient polyconvexity, introduced by Benešová, Kružík and Schlömerkemper in 2017. It is an alternative property to polyconvexity, better-suited e.g. for the modelling of shape-memory alloys. The principal result of this thesis is the extension of an elastic material model with gradient polyconvex energy functional to an elastoplastic body and proving the existence of an energetic solution to an associated rate- independent evolution problem, proceeding from previous work of Mielke, Francfort and Mainik. 1
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The development of the selected economic indicators of the former Eastern Block countries after accession to the European Union
Chorvátová, Martina ; Zeman, Jan (advisor) ; Musil, Petr (referee)
This bachelor thesis analyses the level of the change of the economic situation and performance in the countries which were part of the Eastern block in the past after joining the European Union. The selected countries are Slovakia, Estonia, Slovenia, Bulgaria and Romania. The main objective of this thesis is to analyze, on the basis of selected economic indicators, the positive and negative consequences of the countries entry into the EU on the economic performance of the country, but also to analyze the development of the economy over the whole period under review. Another objective is to analyze the dependence between the selected economic indicators. The calculation itself is based on the calculations of the average growth rate, the average absolute increment and the correlation coefficient. Another method used in the analysis is the decomposition of the times series of the economic indicators to the trend and cyclic component using Hodrick Prescott filter and the evaluation of the coherence among chosen indicators. The benefit of this work is to compare the economic performance of the selected countries before and after joining EU and then to answer the question whether the entry into the EU would be beneficial for the other countries that have not been yet classified as EU member states. The analysis is based on the data available in the Eurostat database using the EViews and MS Excel software.
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Development of selected social indicators of former Eastern bloc countries after EU accession
Polk, Robin ; Zeman, Jan (advisor) ; Musil, Petr (referee)
Bachelor thesis is focused on characteristics of social statistics in the countries of the former Eastern bloc and comparasion of its development after the EU accession. The thesis is focused on those post-communist countries that joined the European Union on 1st May 2004. The subject matter are mainly indicators of income, income inequality, unemployment and poverty. This thesis describes the methodology of these indicators, data sources and the procedure by which social situation in the European Union is monitored. The main part is aimed on the development of these indicators, comparasion among the monitored countries as well as the comparasion with the trend before their EU accession. Social policy of the EU, its history, as well as the current strategy are also mentioned.
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Fourier-Galerkin Method for Stochastic Homogenization of Elliptic Partial Differential Equations
Vidličková, Eva ; Zeman, Jan (advisor) ; Chleboun, Jan (referee)
This thesis covers the basics in the stochastic homogenization of elliptic partial differential equations, from underlying theory up to numerical ap- proaches. In particular, we introduce and analyze a combination of the Fourier-Galerkin method in the spatial domain with a collocation method in the stochastic domain. The material coefficients are assumed to depend on a finite number of random variables. We present a comparison of the Monte Carlo method with the full tensor grid and sparse grid collocation method for two applications. The first one is the checkerboard problem with continuous random variables, the other considers the material coefficients to be described in terms of an autocorrelation function.
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Possibilities of clinical use single and tandem shock waves.
Zeman, Jan ; Beneš, Jiří (advisor) ; Kneppo, Peter (referee) ; Bolek, Lukáš (referee)
Shock waves have been used in medicine for more than 30 year. At the beginning was mainly use for lithotripsy, but today is also applied in other fields of medicine, such as orthopedics, rheumatology and others. Single shock wave is one shock that usually is repeated every 1-1.5 seconds. By contrast tandem shock waves are two shocks consecutively (ideal interval between shocks is from 8 to 15 microseconds), that are repeated. In this work we investigated the clinical use of single and tandem shock waves that are generated entirely new source. It is based on the principle of multichannel discharge. It was found that a single shock wave can destroy the union between bone and bone cement, this effect could be used in orthopedics. Single and tandem shock wave can damage the tumor in vivo, but the principle damage is different. Tandem shockwave is able to cause damage in a depth of acoustically homogeneous medium and enhances the effect of chemotherapy. It would therefore be possible to used single and tandem shock waves in oncology either alone, or their combination with other chemicals. Functional sample of clinically usable applicator of shock waves with a new source was made for these applications. Powered by TCPDF (www.tcpdf.org)
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Peridynamic and nonlocal models in continuum mechanics
Pelech, Petr ; Kružík, Martin (advisor) ; Zeman, Jan (referee)
In this work we study peridynamics, a non-local model in continuum me- chanics introduced by Silling (2000). The non-locality is reflected in the fact that points at finite distance exert a force upon each other. If, however, these points are more distant than a characteristic length called horizon, it is customary to assume that they do not interact. We compare peridynamics with elasticity, especially in the limit of small horizon. We restrict ourselves, concerning this vanishing non-locality, to variational formulation of time- independent processes. We compute a Γ-limit for homogeneous and isotropic solid in linear peridynamics. In some cases this Γ-limit coincides with linear elasticity and the Poisson ratio is equal to 1 4. We conclude by clarifying why in some situation the computed Γ-limit can differ from the linear elasticity. 1
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Variační model pro vznik a šíření trhlin při zatížení teplotou
Beščec, Pavel ; Zeman, Jan (advisor) ; Seiner, Hanuš (referee)
Variational approach to brittle fracture based on the Griffith theory appears to be a vital tool for the modelling of initiation and propagation of cracks in brittle materials caused not only by the thermal loading. In the present work we familiarise the reader with the historical background of this scientific discipline, together with the regularised energy functional. The existence of a solution will be proved and the main advantages will be demonstrated on a numerical calculations. Also the difficulties and troubles of a model will be presented in order to deal with them in future work.
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Matematické modelování magnetosriktních látek
Vermach, Lukáš ; Kružík, Martin (advisor) ; Zeman, Jan (referee)
4 Title: Mathematical modeling of magnetostrictive materials Author: Lukáš Vermach Department: Mathematical Institute of Charles University Advisor: Priv.-Doz. Dr. habil. RNDr. Martin Kružík Ph.D., Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic Advisor's e-mail address: kruzik@utia.cas.cz Abstract In the present work we introduce an isotermic mathematical model of ferromagnetic shape memory alloys (FSMAs). FSMAs are a special class of magnetostrictive materials, i.e. materials which deform their shape on account of external magnetic field or which change magnetization as a consequence of strain. This property originates from phase transformations that occur within the material when being exposed to external loading. First, the stationary model of FSMA is formulated. The thermodynamical potential is composed (Helmholz free energy) and its non-quasiconvexity is discussed. The quasicon- vexification is performed via the relaxation theory, i.e. quasiconvex envelope construction. For such a model the existence theory is built. Then, taking advantage of the stationary case the evolutionary model is developed. The attention is drawn to hysteresis, which arises from energy dissipation. The time discretization leads to a sequence of hysteresis-modified stationary problems (the...
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