This Diploma work deals with topic-based syllabus with a view to English courses on the second level of primary school. Practical part {--} proposal of tuition of three chosen topics (health, food, travelling) was compiled on the basis of theoretical and methodical pieces of knowledge, pedagogical practice and study of the most common textbooks suitable for English courses on the second level of primary school. Choice of topics, sequence and compiling is in accordance with European Framework of Reference determined for the second level of primary school, its level of difficulty and requisite language knowledge corresponds to the pupils of the 8th class of primary school. On the basis of my research during my pedagogical practice, importance for every day life, study of the most common textbooks determined for English courses at the second level of primary school, I have decided for those three already mentioned topics. The topics are compiled in the form of general revision from the point of view of vocabulary, grammar and four language skills.

Prague ring road is one of the most important constructions of Prague and Central Bohemia. When completed, it will become one of routes with the heaviest traffic in the Czech Republic. In my thesis I deal with the past, present and future of Prague ring road. I have mentioned its individual parts as well as its links to urban circuit. The main focus is on the most problematic part of the circuit, namely the northwestern segment.

Title: Generalized injectivity and approximations Author: Serap S¸ahinkaya Department:Algebra Faculty of Mathematics and Physics, Charles University Supervisor: Prof. RNDr. Jan Trlifaj, DSc, Faculty of Mathematics and Physics, Charles University Abstract: Injective modules form a basic class studied in contemporary module theory. One of their generalizations, inspired by tilting theory, is the notion of a cotilting module. While tilting modules behave well with respect to localization, we show that colocalization is the correct approach when comparing the struc- ture of cotilting modules over commutative noetherian rings R with the structure of cotilting modules over their localizations Rm where m runs over the maximal spectrum of R. This is done in Chapter 2 of this Dissertation whose main results were published in the paper [33]. In Chapter 3, we investigate approximation properties of other classic generalizations of injective modules, the Ci- and quasi- injective modules, introduced by Harada et al. Suprisingly, we prove that these classes provide for approximations only in exceptional cases (when all Ci mod- ules are injective, or pure-injective). The Dissertation ends with a set of open problems. Keywords: Commutative noetherian ring, (co)tilting module, (generalized) injec- tive module. 1

The construction of new roads has many negative consequences for the environment, among others also increasing of the fragmentation of landscapes. One of the precautions to reduce the impact of these negative consequences for the environment is the construction of ecoducts. The question is whether the currently built ecoducts in the Czech Republic are functioning and whether the funds spent to reduce the negative impacts of road constructions are spent effectively. This thesis discusses the ecoducts of the Prague road ring. At the end of 2015, there were already completed seven ecoducts at the whole road ring. Their dimensional characteristics were ascertained by measuring, the soil on ecodusts was compared with the soil on the immediate surroundings and the assessment of the condition of the vegetation on the ecodustc was done. The results suggest that ecoducts the Prague road ring have many drawbacks and their efficiency is reduced due to their inappropriate solution.

This diploma thesis "Love as the Greatest Commandment" contains an interpretation of verses that deal with the Double Commandment of Love. First, it deals with the biblical understanding of the concept of commandments in general. It then deals with the commandment of love in the Old Testament, where it is found in two places: in the books of Deuteronomy and Leviticus. In the New Testament, it appears in conversation with the scribe in all the synoptic Gospels, which are first discussed separately and then their comparison is given. Furthermore, The New Commandment, which is found in the Gospel of John, and finally selected verses from the First Epistle of John are explained. Following is a summary, update and conclusion.

Title: Modules over Gorenstein rings Author: David Pospíšil Department: Department of Algebra Supervisor: Prof. RNDr. Jan Trlifaj, DSc. Supervisor's e-mail address: trlifaj@karlin.mff.cuni.cz Abstract: The dissertation collects my actual contributions to the clas- sification of (co)tilting modules and classes over Gorenstein rings. Com- pared with the original intent we get a more general result in classification of (co)tilting classes namely for general commutative noetherian rings (see the third paper in this dissertation). The dissertation consists of an introduction and three papers with coauthors. The first paper (published in Contemp. Math.) contains a classification of all (co)tilting modules and classes over 1- Gorenstein commutative rings. The second paper (published in J. Algebra) contains a classification of all tilting classes over regular rings of Krull dimen- sion 2 and also a classification of all tilting modules in the local case. Finally the third paper (preprint) contains a classification of all (co)tilting classes and also torsion pairs over general commutative noetherian rings. All these classi- fications are in terms of subsets of the spectrum of the ring and by associated prime ideals of modules. Keywords: (co)tilting module, (co)tilting class, torsion pair, Gorenstein ring, regular ring,...

Content of this thesis is design of one-housing condensing steam turbine with two uncontrolled extractions. First part is describing design of balance scheme. Including cycle joints calculation, design of equipment for whole steam and condense cycle. Thesis continues with preliminary and detail design of regulativ stage. Main goal of this part is thermodynamic calculation of flow channel. Second part is describing lubricating oil and cooling system. Contains process description of lubricating oil scheme including calculation, specification of components and pipe branches design. Diploma thesis is finished with detail lubricating oil scheme.

The aim of this thesis is to create a conceptual design of the secondary and tertiary circuit of a new nuclear power plant in our country, which is preceded by a brief search of particular generations of nuclear reactors. The VVER-1200 reactor became the model for the new nuclear power plant. There was designed a heat diagram containing primary components in this work. After that, there was the balance calculation and calculation of parameters of the main devices of the proposed scheme such as condenser, low-pressure and high-pressure regeneration exchangers and steam generator.

The study design includes a main directorate of the Grand Prix Brno. There are spaces designed for administration (office management circuit, meeting room, secretarial services, tec.), riders (relaxation room, garage), the commissioner and start providemaintenance and safe operation of the circuit, VIP lounges and media hall. Building is an oval dynamic shape, created of steel construction and skeleton with light cladding combined with fresh glass facade. Central part of object is designed in main axis of autodrome. Functional change in solved area was constituted by creating a corridor between main entrance into an areal, used by public. This corridor was connected with driveway to paddocks. The proposal is designed to meet safety criteria, but also manager to evoke good atmosphere of racers and visitors.

In this thesis we are concerned with representation of random closed sets in Rd with values concentrated on a space UX of locally finite unions of sets from a given class X ⊂ F. We examine existence of their repre- sentations with particle processes on the same space X, which keep invariance to rigid motions, which the initial random set was invariant to. We discuss existence of such representations for selected practically applicable spaces X: we go through the known results for convex sets and introduce new proofs for cases of sets with positive reach and for smooth k-dimensional submanifolds. Beside that we present series of general results related to representation of random UX sets. 1