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The theoretical part of this thesis Physical properties of liquid fuels and biofuels for petrol engines describes fuels for petrol engines, it deals with properties this fuels and their production. It deals with nature of density, dynamic viscosity and measuring this parameters. Experimental part of this thesis is focused on measuring temperature depen-dence dynamic viscosity and density of gasoline, bioethanol and their mixtures. Results of the measuring are registred in tables and they are typified in graphs. Mathematical functions were found, which can be used for a convenient predicti-ons of physical properties of gasoline, biofuels and their mixtures.

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Současné konkurenční prostředí nutí distribuční firmy zajišťovat bezprostřední obsluhu svých zákazníků. Zatímco statická verze okružních a rozvozních úloh nepřipouští možnost akceptovat dodatečné požadavky zákazníků, dynamická verze umožňuje dispečerovi měnit naplánované trasy vozidel, jakmile se objeví nový požadavek. Pro řešení dynamických úloh jsou navrženy optimalizační matematické modely a heuristické vkládací algoritmy. V některých úlohách jsou zahrnuty podmínky s časovými okny. V práci jsou analyzovány speciální distribuční úlohy: dynamická úloha kurýrní služby, dynamická úloha obchodního cestujícího s apriorní informací a dynamická rozvozní úloha s dělenou dodávkou. Řešení většiny úloh je demonstrováno na vygenerovaných datech za použití programu LINGO jako řešitele a VBA v MS Excel jako uživatelského rozhraní a výstupního prostředí. Jsou prezentovány výsledky počítačových experimentů.

The aim of this thesis is to create a web portal dedicated to teaching of a topic of high school mathematics - Functions. The work contains sections focusing on creating didactic teaching materials, inclusion of ICT in teaching mathematics and sections dedicated to the creation of new www learning portal. It also discusses the dynamic mathematics software, GeoGebra, which is extensively used in this portal. The work is boosted by two studies which measure the suitability of the project for the purposes of teaching mathematics on secondary schools. Research was focused on teachers and high school pupils. The results and conclusions of the research part of the thesis point out how to modify the material, adapt it and thus make it more suitable for educational purposes. Keywords www project, teaching of mathematics, functions, GeoGebra

The theoretical part of the thesis: Physical properties of liquid fuels and bio diesel for combustion engines is aimed at describing the physical properties of fuels and ra-peseed oil methyl ester. It includes familiarization with the issue of dynamic viscosity and density of internal combustion engines and a comprehensive overview of methods of measuring these quantities . Experimental work is devoted to experimental measurement of the temperature de-pendence of the dynamic viscosity and density of selected diesel samples with different concentrations of rapeseed oil methyl ester. The measurement results were processed into tables containing diagrams .

This thesis broadens the contents of the schoolbooks "Matematika pro gymnázia." It is written primarily as a source material for teachers, however, as it is close to the aforementioned schoolbooks, can be used by students as well.

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This thesis deals with the mathematical knowledge of the geometry, which were used in the Gothic period. This is mainly the knowledge that was reflected in the architecture. It is also concerned with the geometrical modeling of the Gothic architectural elements using computer systems of dynamic geometry and potential use of these figures in the mathematics, because the visible connection between theory and practice is very good motivation. The thesis briefly introduces characteristic features of the Gothic style and also describes the historical background that enabled the rise of this new style. This work shows closer also how Gothic building was technically built up. Part of this work is dynamic geometric computer models, which were made with using the gathered information. The interactivity of these models helps students to get better insight into the principles of Gothic architecture elements and also into geometric relationships used in these elements.