English
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Ivana Sotáková-Martin Vavra-Mária Ganajová
This textbook has been designed for the master students of chemistry teaching (combined) at the Faculty of Science, Pavol Jozef Šafárik University in Košice as a source of model school experiments in general and inorganic chemistry. It will be used for teaching the Special Practice of School Experiments I compulsory course. It consists of instructions for experiments related to the selected topics in general and inorganic chemistry as well as the didactic and technical aspects of their performance. Each experiment includes an explanation of the principle, specification of the tools and chemicals needed, working procedure, and the respective apparatus assembly scheme. At the end of each experiment, the observation and explanation necessary for the correct interpretation of the results of the chemical experiment performed are provided. To follow the requirements for the digital transformation of education, selected computer-aided experiments and visualiser projections have been included as well. The next part is focused on the work with the monitoring suitcase, which can be used for making simple field experiments related to environmental topics. The final part is dedicated to attractive experiments that complement the topics in inorganic chemistry and can be used to motivate students. All experiment instructions are in line with the requirements specified by the state educational programmes for primary and grammar schools. This book allows teachers to select appropriate demonstrative experiments or experiments for laboratory classes performed by students themselves. The videos of selected experiments are also available as part of the interactive periodical table of elements operated by the Institute of Chemistry, Faculty of Science, Pavol Jozef Šafárik University in Košice.
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Data sheet
E-book
Janka Vrláková - Adela Kravčáková - Stanislav Vokál
The presented "Collection of Problems in Atomic and Nuclear Physics" is intended as a basic study material for lectures in General Physics IV in the second year of the bachelor's single-subject physics program and interdisciplinary studies combined with physics at the Faculty of Science of P. J. Šafárik University in Košice.
Its aim is to support independent student work and to deepen the acquired knowledge from the given physics course by solving selected problems. It is divided into three main parts: Atomic Physics, Nuclear Physics, and Experimental Methods of Nuclear Physics.
Each thematic chapter contains an overview of basic concepts, relations, and formulas necessary for better understanding of sample problems and for solving the attached set of unsolved problems.
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Valéria Skřivánková - Martina Hančová
The publication is focused on discrete random processes, primarily on Markov chains, which have wide application in the field of economics and finance.
The textbook is divided into five chapters, the first of which serves as an introduction to random processes and provides definition, properties and classification of random processes in general. The second chapter discusses Markov chains with discrete time, including valuation of transitions between states and their optimal management. The third chapter focuses on special Markov chains with continuous time and emphasizes construction and solution to the system of Kolmogorov differential equations, which describe the dynamics of the process development. The last two chapters illustrate applications of Markov chains using examples of queuing system modeling and renewal theory.
Besides the explanation of basic terms, definitions and theorems with proofs, this textbook also provides number of solved examples to illustrate the discussed theory. Problem assignments are placed at the end of each chapter, so that readers can test their understanding of the content as they progress through the book. Solutions to all the problems and the list of references are provided at the end of the publication.
This textbook is primarily intented for students majoring in Economics and Financial Mathematics at the Faculty of Science of Pavol Jozef Šafárik University in Košice, and it covers content of the course “Random Proceses 1“ thought there. It might however serve also students from other schools in similar progams or professionals interested in this topic.
E-book
Solving crystal structures is the royal discipline of X-ray crystallography. Its primary task, with the exception of defects, is to describe the atomic structure of the motif that, by its repetition, fills the volume of the entire crystal or crystalline phase. This task is nowadays more or less routine for single-crystal X-ray diffraction, which can locate hundreds to thousands of non-hydrogen atoms in large unit cells. However, in real practice, we often have material available only in powder form instead of single crystals. Solving the atomic structure from its X-ray diffraction data is non-trivial, mainly because the three-dimensional diffraction space of a single crystal is reduced to one dimension by measuring a large number of randomly oriented microcrystals (crystallites). Therefore, the solution itself requires, in addition to proper measurement methodology, the selection of suitable tools, procedures, and strategies that, through optimization, will lead to the solution and refinement of the given crystalline phase. The current limit of this method is approximately 100 non-hydrogen atoms in the asymmetric part of the unit cell, which, however, is sufficient for most inorganic materials.
The goal of these educational texts is to provide students in the second and third levels of university studies with specific guidance on solving crystal structures from powder X-ray diffraction data. These scripts build upon my first monograph and require practical knowledge of its content. Similar to my previous monograph, I offer solved examples without a deep theoretical introduction, demonstrating procedures and strategies leading to the correct solution of crystalline phases using the freely available GSAS-II program. The examples are arranged from simpler to more complex, and the reader will find many useful pieces of information in the literature references as well as in the comments below the line. Part of these scripts are data intended for your individual practice of the described procedures.
Karel Sakls
E-book
Janka Vrláková - Stanislav Vokál
Atomic and nuclear physics are relatively young scientific disciplines forming the final part of the general physics course at the Faculty of Physics of the Jagiellonian University. Their aim is to explain the nature of the basic physical properties of atoms, atomic nucleus and elementary particles.
This is also the content of the lectures and exercises ‘General Physics IV’ in the 2nd year of the Bachelor's degree in Physics at the Faculty of Natural Sciences (PF) of the P.J. Šafárik University (UPJŠ) in Košice. They are followed by optional lectures ‘Nuclear Radiation in the Environment’, ‘Introduction to the Physics of the Microworld’ in the 3rd year of the Bachelor's degree of single-discipline study of physics, or teacher study of physics in combination with another subject, and ‘Subnuclear Physics’ in the 1st year of the Master's degree of teacher study of physics in combination with another subject.
In the aforementioned lectures, the latest experimental findings on the structure and behaviour of the microworld are presented by means of physical theories and their subsequent experimental verification in experiments.
E-book
This university text is intended for students of chemical and ecological sciences at the Faculty of Natural Sciences of the P. J. Šafárik University in Košice and is intended to serve as a tool for experimental exercises in colloid chemistry. Colloid chemistry is an important part of the theoretical basis of the chemical sciences and belongs to the newer interdisciplinary fields of natural sciences.
It combines knowledge from physical chemistry, physics and biology, while also drawing on a solid knowledge of mathematics and other scientific disciplines. Experiments are often essential in understanding the problems of colloid chemistry, modelling ideas about the phenomena and laws involved in the discipline. This is why active participation in experimental exercises is so important and essential to mastering the material in colloid chemistry.
In selecting the tasks for these scripts, it was also necessary to respect the considerable limitations imposed by the possibilities of the laboratory instrumentation and material equipment of our department. Despite this limitation, however, they can illustrate to students the basic theoretical physicochemical principles of colloid dispersion systems and, importantly, their understanding can contribute to the understanding of some of the more important peculiarities of colloidal phenomena.
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