Propaedeutics of Differential and Integral Calculi Author: Ing. Martin Malachov Department: Department of Mathematics Education Supervisor: Zdeněk Halas, DiS., Ph.D. Department of Mathematics Education Keywords: propaedeutics, derivative, Riemann integral, applications Differential and integral calculi both are interesting and beautiful branches of mathematics with many interdisciplinary overlaps and significant and practi- cal applications. Learning as well as teaching of these topics is very difficult and demanding. In this thesis we show that the derivatives and integrals have much to offer in the high school education while the schooling can be eased and made attractive with intentional propaedeutics and knowledge of rich background of applications. First part of the thesis presents short contem- plation on the current state of teaching and literature, we focus on the urge for the propaedeutics of the differential and integral calculi revealed by us. We identify key terms that can be used to build useful preconcepts during the whole high school education, even in the elementary education. In the latter part of the thesis we offer teacher innovative texts and a rich set of origi- nal exercises that can be used for motivation, application and propaedeutics of the differential and integral calculi. We also present...

The main goal of my diploma work on the topic "Derivative in apllied problems a digest of solved examples" is to create a set of solved exercises that somehow use calculus during solving. The collection contains 43 solved practical problems relating to calculus of one or two variables. This collection intends to serve as a training aid for students of middle or high schools. For a better overview individual tasks are sorted by appropriate fields of science (mathematical, biological, physical, economic).

Cyril Navrátil FF UK Universita Karlova Románská studia - NMgr. Hispanistika 2013/2014 Abstract The purpose of this essay is to study neoclassical composition. The denomination of this method of word-formation already caused disagreements among the linguists. Many authors name it prefixation (affixation), while others believe that it is a special type of composition, whose components (or at least one of them) take their origins from Latin or Greek. Even though the majority of the Spanish lexicon comes from these languages (mainly from Latin), this type of composition follows some particular rules. In this essay, we do not intend to say who is right and who is wrong, but to demonstrate the current situation of the neoclassical composition in modern Spanish, using the corpus. Nevertheless, it is not possible to completely ignore the different points of view of these authors, who are acclaimed in the academic world. Therefore we decided to divide this study in a theoretic part and a practical one. In the theoretic part, we will recapitulate the terminology used and we will try and choose the most convenient definition for this method. In the practical part, we will see twenty examples of Greco-Latin elements: auto, cida/cidio, cracia/crata (arca/arquía), cripto, crono, eco, euro, filo/filia, foto, narco, neo,...

Title: Derivations of personal names Author: Anna Vanišová Department: Charles University in Prague, Faculty of Arts Study program: Netherlandistics Supervisor: PhDr. Zdenka Hrnčířová Number of pages: 104 Attachments: 45 pages Year: 2011 Key words: derivations, derivatives, suffixes, personal names intuitive forming, productivity This thesis aims to analyze of selected derivations of personal names. Names were chosen to include a range of various suffixes, which are a common base for derivations. The practical part of this work investigates the knowledge and correctness of spontanious intuitive creating of lexicalized derivations of personal names. The research is conducted by questionnaires of Dutch and Czech native speakers.

The aim of this diploma thesis is to create derivative-focused web pages as a new part of a high school mathematics educational web portal. The web portal is operated by the Department of Mathematics Education, Faculty of Mathematics and Physics, Charles University in Prague. It is primarily intended as an additional learning resource for high school students. The diploma thesis consists of two main parts. The first part describes a search for and evaluation of similar web pages in Czech, Slovak, English and Hebrew, which deal with the topic of derivative. The second part details the creation of new web pages. In creating the web pages the author integrated interactive elements based on JavaScript, and interactive applets created with use of GeoGebra software. To display mathematical expressions on the web, the author used the technology MathJax, which works with languages of the typesetting systems TeX and LaTeX.

The present thesis treats one of the word-formative processes, derivation, in two Indo-European languages, Latin and Slavic. It focuses on the description and comparison of nominal (substantive) derivative suffixes and whole word-formative types that in these languages correspond to each other. The main focus of the thesis is to make a classification of these parallels from a functional point of view and to describe particular word-formative types from a scope of the onomasiologic categories. Since Latin and Slavic do not display similar parallels regarding other language levels, the considerable similarity of the derivative suffixes (and whole word-formative types) is a noticable phenomenon. One of its possible explanations is the fact that both languages have retained the original Indo-European word structure. Therefore this thesis uses as a base the Latin language as the older one which is thus formally and functionally more likely closer to the original (Indo-European) forms than Slavic, and traces particular suffixes (word-formative types) throughout their developement and attempts to reveal their formal and semantic shifts.

The aim of the diploma thesis is to describe a problematic state of the components N-N/N-A. The introduction part describes how the conversion is elaborated in literature and how offen we can find it in contemporary italian language. Following terms, related to the conversion subject, are defined: transposition, zero derivation and juxtaposition. In addition, the paper focuses on relation between elements N-N and N-A significantly. Existing tests, based on which the researched elements are categorized into compounds N-N or syntagmas N-A, were evaluated and new tests for description of these elements were defined. Dictionary Zingarelli was used for the excerption of words, the function of which could be both noun and adjective. Characteristics of words obtained, the subordinate article function, were verified in italian corpora itWaC. In conclusion, complex overview of the phrase type N-N and N-A, the second element of which passed transcategorization phenomena, was given.

Fixed interval scheduling problems have wide range of practical use in production planning, transportation, in hospitals or in schools when planning timetables. When solving these problems we often encounter requirement of integrality of solutions. Ignoring this condition is often not possible. In this thesis we propose some formulations of scheduling problems and their stochastic extensions. We also propone a new formulation of stochastic FIS problem, for which integrality of solution is byproduct of its definition. We present Gâteaux derivative and its relationship to stability of optimal value function of stochastic optimization problems under the influence of contamination. We propose a new theorem on the stability of such functions for fixed interval scheduling problems.

The diploma thesis "Composition in contemporary Spanish " focuses on compounding as one of the most important processes in word formation. The purpose of our thesis on level of theoretical linguistics is to provide clear typology of Spanish compound words. On level of linguistics research our objective is to analyze current development of Spanish compound words. In theoretical part of our work we defined compounding together with derivation and parasynthesis as main word-formation processes that contribute to the growth of Spanish lexicon. Apart from these processes we also defined other important terms connected to this topic and essential for good understanding of it as lexical base, morpheme, word formation rules and their restrictions, pruductivity or blocking. We decided to classify Spanish compound words according to their orthographic character into two main groups - ortographic and syntagmatic compounds. In addition we subdivided these two groups; ortographic compounds were classified according to word class of the final compound, syntagmatic compounds were classified according to their internal structure. In practical part we focused on two main topics - orthographic form of studied compounds and the way of their plural formation. All compound words that we studied were analized in three...

Presented thesis deals with the word-formation processes involved in creating new verbs in presen-day Italian. These processes are mainly derivational, namely prefixation, suffixation, conversion, including parasynthesis and back-formation, these two create mostly verbs. Compound verbs are rare in Italian and the number of verbal loanwords is low as well. The first part of the thesis describes these processes from theoretical point of view. The second part presents the descriptive analysis of 330 verbs created between 1976-2001. These verbs were extracted from the eletronic version of Dizionario Italiano Sabatini-Coletti and they were categorized by the process involved in their creation. The productivity of each process and then affixes was also studied.