Title: Solved Problems in Optics Author: Michaela Jungová Department: Department of Physics Education Supervisor: RNDr. Marie Snětinová, Ph.D., Department of Physics Education Abstract: Twenty problems in optics were created for electronic collection of solved problems in physics in my thesis. These problems contain detailed structured solutions with solved hints and pictures as well. You can find the problems in the chapter "Geometrical optics" on the website: http://reseneulohy.cz and on the enclosed CD. One of the chapters in my thesis deals with description of the problems. The thesis also engages in thesis engages in the way how to classify the problems using different standards. A proposal of a problem classification, that has been used in during study of both elementary and high school physics textbooks and collections, is presented in the thesis. The goals of this classification were two: to get the picture of school curriculum connected to optical problems and to propose suitable structure of the chapter Optics in the electronic collection, which is in the aboved mentioned electronic collection. Keywords: solved problems, classification of physics problems, electronic collection, optics

This work deals with application problems regarding to geometry issues. A deep search has been performed throughout existing excercise books from various periods and of various difficulties. Then, 10 new application problems have been devised and solved, concerning miscellaneous mathematics education stages and geometry branches.

This thesis is a follow-up to several bachelor and diploma theses which were dedicated to creating solved problems for Electronic Collection of Solved Problems in Electromagnetism. The first goal of this thesis was to make a short survey about electronic resources in electromagnetism, especially those which contain solved problems and provide open access to their contents. The second goal was to make a small collection of solved problems in this area which would be suitable for undergraduate students and which would fill in chapters with little amount of problems in the Electronic Collection. This Electronic Collection is openly accesible on the website of Department of Physics Education. Total of 30 solved problems have been made in this thesis, including hints, detailed solutions and suitable pictures. Methodical comments are also available for almost all problems.

2 Title: Interactive GeoGebra applets for Collection of Solved Problems in Physics Author: Bc. Ondřej Broža Department: Department of Physics Education Supervisor: RNDr. Zdeňka Koupilová, Ph.D., Department of Physics Education Abstract: The aim of the diploma thesis was to focused on designing of interactive applets and desiging of solution to physical problems in the field of electricity and magnetism for Electronic Collection of Solved Problems. The thesis is also focused on the useability of the interactive applets during the physics education. Within this thesis was totaly created 22 interactive applets, a description and questions for working with them and 13 solutions to physical problems. Another parts of the thesis are: manual how to design interactive applets in the GeoGebra system, manual how to integrate these interactive applets into Collection of Solved Problems and library of partial construction in GeoGebra. The last part of the thesis is about verification of usability of these interactive applets in physics education, which was performed via observation of the students during the work with the interactive applets and via feedback questionnaire. Keywords: physics, solved problems, GeoGebra, applets, electricity and magnetism

The main aim of this thesis was to create a set of problems in Quantum Mechanics, which would be included in a collection of solved problems in Physics available online on the website http://www.fyzikalniulohy.cz. As a result, thirty nine problems were completed, covering seven thematic areas partially of high school and mostly of introductory college Quantum Mechanics course. In general, the collection is mainly designed for college students as an exercise in basic quantum-mechanical problems and also for high school students, who have a desire to deal with some special problems. A detailed description of content, structure, and technical execution of this collection can be found in chapter 1 of this thesis. Another task was to review existing online collections of applets dealing with Quantum Mechanics. A selection of them is introduced in chapter 2 of this thesis.

In this thesis there can be found various examples from Monge projection. The theory is summarized in the beginning, which is important of understanding the projection and for solving the examples. There are also examples of solving axial affinity and central collineation. Then there is a chapter about the projection of all types of angular and rotational solids, which are solved at the secondary schools. Then follows a chapter, where the sections of these solids are constructed. In the last chapter, there are solved intersection of solids from each type. Powered by TCPDF (www.tcpdf.org)

The study deals with a proposal to deal with an area of 27 hectares in the city of Brno - Center. The premises of the former military warehouses on a plot between the streets of Veveří, Pekárenská, Kounicova and Sokolská. At present there are used by supermarket, other buildings deteriorate and are intended for demolition. At the southern corner of the parcel is located on the street Veveří tram stop. From here you can easily walk through the plot in Kounicova street, but the current state of the environment at the site of the area devalues the experience of being in such a space and aesthetics due to the surrounding historic buildings. The dominant element on the corner of the parcel is a protected sycamore. The proposed structure is suited to the current understanding of the world. Combines resources for intensive way of life with the necessary convalescence and his need for space with greenery, calm and light. The concept uses a nautical elements inserted into the context of the Czech Republic and simultaneously builds on Brno functionalism.

The assignment for this thesis was to prepare an architectural plan for barracks in Černé Pole in Brno. As part of the assignment, I attempted to rejuvenate and open up the given territory to the town and to its people and to connect it to the surrounding structures. I expanded the territory in question with adjacent panel construction from the north, as one of the objectives was to gradually incorporate this development in a way so that it does not create a barrier. The second objective was to revive two historical barracks buildings and a panel building dormitory, which serve as a reference for the image of the place. The thesis is split into two parts - analysis and proposal. In the proposal I discuss specific materials, transportation and public spaces. Most of the territory is made up of residential spaces with civil and commercial spaces, which together make the entire area functional. In my proposal I try to show how the entire territory can be solved, with the involvement of the historic and panel buildings, and not just building on an empty brownfield.

The assignment of diploma thesis was processed the area of the textile factory in Náchod – named Tepna. As part of this work I tried to suggest a live continuation of the historical core of city Náchod and connect the new district to the Plhov housing estate. As a goal I have set revitalization of building Bílá Tepna whitch is actually abandoned. Bíla Tepna is the last standing object from original development and it indicates the indentity of the place. In one part of territory I put a new block bulding with mostly residential function. This area surrounds the main square and object Bíla Tepna. The second part of area consists of terraced family houses with children’s playground. By my suggestion I wainted residents to show how it is possible design the development if object Bílá Tepna will be preserved.

The thesis deals with the design of a sustainable urban structure, based on a medieval city, in the 21st century. The main idea of the proposal is the creation of a new part of the town Náměšť nad Oslavou with the aim of connecting it with the existing urban structure and at the same time extending it to the missing elements of the developing city. The newly built area is designed with an emphasis on the construction of new residential housing with civil facilities services, while designing and creating public spaces and private parts of courtyards and villas. The aim of the thesis was to design a growing territory so that it adapts to the needs of today's society and at the same time became part of the existing city. From an urban point of view, based on the theme of the thesis, the aim is to combine elements of a medieval city with elements of a city built in the 21st century. The concept is based on a planned network of streets with multifunctional buildings designed for trade and production in the ground floor and housing on other floors, which originated in the medieval city. The emblem of the medieval city was the emotional perception of the connection of strict lines and strange shapes into one whole, and therefore buildings were designed in a new part of the city for living with almost clean geometric lines, while the objects of civil facilities are organic shapes.