Elementárna teória čísel 1. časť

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Natália Raschmanová - Ľubomír Kováč

The text summarizes the basic knowledge about the functioning of the soil ecosystem with a focus on soil protists and dominant groups of soil animals. Characteristics of each soil animal group include basic morphology, ecology, distribution, population dynamics and their importance in the soil ecosystem. The aim of the text is to gain a basic understanding of the diversity and interactions of soil fauna with the soil environment. It deals with the ecological classification of soil fauna on the basis of body size, presence in the soil during the life cycle, food preference and by locomotion. It highlights important morphological and ecophysiological adaptations of soil fauna to physical and chemical environmental factors. The text also gives an overview of the basic methods in the field collection of soil fauna and their extraction from soil samples under laboratory conditions. It further informs on the method of taxonomic identification and ecological evaluation of soil fauna communities. Discusses the soil fauna of different types of ecosystems. It highlights the differences in soil fauna communities that inhabit grassland and forest habitats, and agricultural soils. This teaching material is intended for students in biology degree programmes.

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E-book

Kveta Markušová - Daniela Kladeková

Electrochemistry is the science that studies ionic systems and the processes or phenomena that occur at the interface between ionic systems and metals or semiconductors. At the current stage of development, electrochemistry can be divided into two main areas based on its focus. The first one - ionics - deals with the properties of ionic systems (solutions, melts, solid electrolytes). The second area - electrodeics - focuses on phenomena at the electrode/ionic system interface.

Both ionics and electrodeics investigate equilibrium and non-equilibrium phenomena and processes. Research into the properties of ionic systems under equilibrium conditions provides information and insights into the structure and composition of electrolyte solutions, melts, and solid electrolytes, while measurements under non-equilibrium conditions provide data on the electrical conductivity of ionic systems. In the field of electrodeics, the study of equilibria at the electrode/solution (or melt) interface is the domain of electrochemical thermodynamics. Measuring the rates of processes occurring at this phase interface and explaining the principles governing these processes fall under the scope of electrode process kinetics or electrochemical kinetics.

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E-book

Katarína Cechlárová

Linear programming belongs to parts of mathematics with the greatest number of real applications. This Slovak-English problem collection provides an overview of basic knowledge in the area, application problems as well as problems to acquire routine in calculations. It is complemented by questions motivating the student to look for further theoretical principles, construct conterexamples  and formulate arguments to explain the studied phenomena.

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E-book

Peter Fedoročko (eds.)

From June 14 to June 17, 2022, the 8th annual Spring School for Doctoral Students at Pavol Jozef Šafárik University in Košice will take place in Liptovský Ján. The scientific program of the spring school will comprise 3 plenary lectures by leading scientific experts and 1 workshop. Doctoral students will present their research papers in two sections: 22 doctoral students of Faculty of Public Administration, Faculty of Law and Faculty of Arts, and 26 doctoral students of Faculty of Medicine and Faculty of Science. The scientific programme of the spring school will also include a panel discussion with the management of Pavol Jozef Šafárik University in Košice.

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E-book

Miroslava Martinková

This electronic material provides the basic principles of creating a systematic nomenclature of organic compounds, from the simplest hydrocarbons to the more complicated nomenclature of carbohydrates. For some groups of derivatives, alternative ways of generating system names are also mentioned, as well as the most common trivial names that are still in use in the literature and in practice, in some cases being the characteristic (dominant) ones. In the introductory section, the basic rules to be respected when writing names of organic compounds are discussed. This document is intended primarily for interdisciplinary undergraduate and graduate students as support material for the courses Organic Chemistry and Selected Chapters in Organic Chemistry and Biochemistry. In the final section of this document, solved examples are given so that the student can check how the rules for forming the names of organic compounds have been understood.

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Marcel Uhrin - Petr Benda -  Peter Kaňuch

Bats represent a unique group of mammals, characterised by different life strategies. They are the only mammals capable of active flight, which, combined with their almost exclusively nocturnal activity, has led to the evolution of specific adaptations. One of the most striking is echolocation, which enables them to orientate themselves perfectly in their surroundings in the dark. Bats are mainly native to the tropics, but have also colonised areas outside the tropics, which, has led to a complex phenological cycle with active phases and interruptions during hibernation, especially in temperate zones. In this diverse and species-rich group (almost 1,500 known species), there is a wide range of social organisation as well as feeding and roosting strategies. The textbook "Fundamentals of Chiropterology" brings the current state of knowledge about these extraordinary animals in eleven chapters and two appendices for the first time in the Slovak language.

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Stanislav Lukáč - Ľubomír Šnajder - Ján Guniš - Zuzana Ješková

The publication is intended for researchers in didactics and teachers of mathematics and computer science. Our aim is to provide readers with a basic orientation in the issue of inquiry-based teaching, to explain and demonstrate several levels of student inquiry through examples, and to offer a classification of inquiry skills.

The core part of the publication consists of methodologies for inquiry-based teaching of specific topics from school mathematics and computer science. We present ideas for implementing inquiry activities, active work with information in solving various types of problems, and the application of modern digital technologies in exploring and discovering patterns.

The publication includes seven methodologies for teaching mathematics and eight methodologies for teaching computer science in the 1st and 2nd years of secondary school.

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Prílohy

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Jana Špaková Raschmanová - Zuzana Kudličková - Kvetoslava Stanková

Organic chemistry plays a key role in our lives, from the pharmaceutical industry to the production of plastics and food additives. Additionally, it is essential in biochemistry, as it deals with the basic building blocks of living organisms, such as carbohydrates, lipids, proteins, and nucleic acids. One of the best ways to teach organic chemistry and increase students' interest in the subject is through conducting school experiments. This study material presents a collection of visually striking practical experiments in organic chemistry that will help students better understand the chemical processes and techniques used in the field. This electronic study material is supplemented with visual material, allowing students to verify the results of experiments and better understand the individual procedures. At the end of each section, there are questions to help assess the acquired knowledge and encourage deeper understanding of the experiments conducted.

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 Matúš Harminc 

Tento učebný text je určený poslucháčom medziodborového štúdia v kombináciách s matematikou, jednoodborového štúdia matematiky ako aj rozširujúceho štúdia matematiky. Je za-meraný na kvadratické kongruencie a niektoré diofantovské rovnice.

Autor

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Martin Bačkor - Miriam Bačkorová

The proposed text focuses on the history of studying biology, medicine, and pharmacy as scientific disciplines from prehistoric times through antiquity, the Middle Ages, and the modern era. The text chronologically organizes the most significant figures in the history of biological scientific disciplines, outlines key characteristics of major historical discoveries, and reevaluates their significance from the perspective of 21st-century science.

The educational text is chronologically divided into the most significant periods of civilization development. The last two completed centuries—the 19th and 20th—are subdivided into major life science fields due to the unprecedented growth of biological disciplines and the resulting volume of acquired information.

Since it can sometimes be challenging in science to define what constitutes the past versus the present of a particular discipline, we have excluded significant biological discoveries from the early 21st century, which are typically regarded as the “present” of biology.

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E-book

Daniel Klein

Statistics is defined as a scientific discipline based on learning from data and on finding, controlling, and presenting uncertainty. In these university textbooks we present the history of statistics, basic concepts of statistical modeling, measurement of dependencies, regression models, analysis of variance. We describe simple sorting, multiple comparisons, assumptions of the ANOVA model, Kruskal-Wallis test.

University textbooks are suitable for students of mathematics and computer science at the first and second level of universities. Study materials are also suitable for students of non-informatics disciplines with a view to improving their knowledge and practical experience in the fields of informatics and provide an opportunity for students to apply in IT companies in solving practical tasks.

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E-book

Jozef Strečka - Hana Čenčariková - Andrej Gendiar (eds.)

The proceeding involves programme and abstracts of Workshop on Quantum Magnetism: Theoretical Challenges and Future Perspectives, which was held on June 7th – June 8th, 2019, in Košice, Slovakia.

The workshop is organized by Faculty of Science of Pavol Jozef Šafárik University in Košice and Institute of Experimental Physics of Slovak Academy of Sciences in Košice under the financial support of Slovak Research and Development Agency.

The main conference topics are devoted to state-of-the-art problems of Quantum Theory of Magnetism inncluding molecular magnetism, highly frustrated magnetism, magnetic phase transitions, quantum spin liquids, strongly correlated systems, exotic quantum states, flat-band systems and quantum entanglement.

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Zuzana Vargová - Miroslav Almáši - Juraj Kuchár - Jana Dinajová 

The script „Základné laboratórne praktikum z anorganickej chémie“ builds on previous editions of the script, with some thematic units updated and supplemented with new knowledge, principles, and detailed work procedures.

This script is intended as a teaching aid for first-year students of the chemistry and interdisciplinary study programs at the Faculty of Science, Pavol Jozef Šafárik University in Košice. The introductory part of the volume acquaints students with safety regulations that they should follow during work in a chemical laboratory. Subsequently, in five chapters, basic laboratory techniques are described in detail, which students will use in the further part of the practices for preparing inorganic compounds. These chapters are enriched with illustrative images created using the freely distributable ACDFreeLabs 10 program or taken from literature listed at the end of the script. Some images were created by the authors, and others were taken from the catalog of Fisher Slovakia, s.r.o., which provided written permission for their use. The chapters describing the preparation of inorganic compounds are organized according to their composition, from simple elements or molecules, through binary compounds, acids, and salts, to complex compounds.

Within this subject, students should apply their theoretical knowledge gained during lectures on General Chemistry and Inorganic Chemistry and thereby acquire basic practical experience and skills that they will use in further studies.

The last two chapters were developed based on cooperation with Duslo a.s., Production Plant Strážske, which participates in the innovation of practical teaching through direct involvement of experts from practice as part of the KEGA project No. 008UPJŠ-4/2018.

Authors

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Božena Mihalíková - Ján Ohriska

This text is intended for first-year students in 76-12-8 ‘General Education Teaching’ in combinations with mathematics. It is based on the authors' lectures and their more than ten years of experience in teaching this subject at the Faculty of Education of the University of Applied Sciences. When writing it, the authors tried to take into account the specificity of mathematics teaching studies.

The present teaching text was not written due to the lack of textbooks on mathematical analysis. The reason for writing it was the authors' findings that the students do not have sufficient experience in working with specialized literature from secondary school, the difficulties for many of them (especially in the first semesters) are caused by even a slightly different interpretation, not rarely also by a change in labeling, which makes them miss the essence of the studied problem. The authors of the text did not set out to be original. Their aim was to make such a selection of topics as is necessary for a future teacher of mathematics and to choose such a method of interpretation which, in their opinion, is suitable for first-year students.

A good mastery of the curriculum (expansion of the mathematical apparatus and the related possibilities of applying other methods of proof as well as the acquisition of the necessary numerical skills) presupposes the use of other literary sources (textbooks, collections of problems) according to the teacher's recommendation.

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Stela Csachová - Ján Kaňuk - Alena Gessert - Ladislav Novotný - Štefan Gábor - Jozef Šupinský

This book addressed the inquiry-based learning and teaching with the support of geospatial technologies. Today, geospatial technologies are influencing geography teaching learning, particularly in secondary education. Theoretical framework gives the reader the insight to inquiry-based learning, with special focus on inquiry in geography. The one-by-one step of inquiry is analysed in detail. The major part of the book presents the eleven models of geography lessons, representing the subject content of physical, human and regional geographies, various levels of inquiry and use of different geospatial technologies. The readers are acquainted with the use of geographic information system (particularly Google Earth and ArcGIS online), web portals, webGIS, open data, mobile applications and new forms of 3D cartographic visualisation (virtual reality, 3D print, dynamic 3D map) in teaching geography. The lesson models were tested with the students to be geography teachers in school year 2021/2022. This books serves as resource mainly for undergraduate teacher students and in-service geography teachers.

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E-book

Zuzana Jurašeková

Úvod k praktikám k experimentálnym metódam biofyziky

The university textbook titled Laboratory Techniques and Calculations is designed for the first-year students of the bachelor's degree in Biophysics at the Institute of Physics, Faculty of Sciences, P. J. Šafárik University in Košice. The objective is to equip students with fundamental knowledge and practical skills for the work in a chemical laboratory. It is essential for addressing different biophysical issues and experiments that students will have to solve later. The textbook comprises three principal sections: a theoretical part focused on the calculations, a section dedicated to laboratory work, and the last part offers a brief introduction to spectroscopy. The theoretical part summarizes the basic definitions and equations related to the characterization and preparation of solutions and mixtures. The second, most comprehensive part provides guidance and suggestions for safe and efficient practices in a chemical laboratory. The primary focus is on the manipulation of chemical substances and the use of specific small laboratory instruments and equipment. The fundamental laboratory procedure guides for the selected laboratory works are also provided. As part of a short introduction to spectroscopy, students can become familiar with fundamental spectroscopic concepts and principles. UV-VIS absorption spectrophotometry receives special attention, along with a brief introduction to fluorescence. The textbook is supplemented by various practical and theoretical tasks, as well as numerous web links to further explanatory texts and videos.

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E-book

Natália Raschmanová - Ľubomír Kováč

The text summarizes the basic knowledge about the functioning of the soil ecosystem with a focus on soil protists and dominant groups of soil animals. Characteristics of each soil animal group include basic morphology, ecology, distribution, population dynamics and their importance in the soil ecosystem. The aim of the text is to gain a basic understanding of the diversity and interactions of soil fauna with the soil environment. It deals with the ecological classification of soil fauna on the basis of body size, presence in the soil during the life cycle, food preference and by locomotion. It highlights important morphological and ecophysiological adaptations of soil fauna to physical and chemical environmental factors. The text also gives an overview of the basic methods in the field collection of soil fauna and their extraction from soil samples under laboratory conditions. It further informs on the method of taxonomic identification and ecological evaluation of soil fauna communities. Discusses the soil fauna of different types of ecosystems. It highlights the differences in soil fauna communities that inhabit grassland and forest habitats, and agricultural soils. This teaching material is intended for students in biology degree programmes.

Download the e-book for free (pdf)

E-book

Kveta Markušová - Daniela Kladeková

Electrochemistry is the science that studies ionic systems and the processes or phenomena that occur at the interface between ionic systems and metals or semiconductors. At the current stage of development, electrochemistry can be divided into two main areas based on its focus. The first one - ionics - deals with the properties of ionic systems (solutions, melts, solid electrolytes). The second area - electrodeics - focuses on phenomena at the electrode/ionic system interface.

Both ionics and electrodeics investigate equilibrium and non-equilibrium phenomena and processes. Research into the properties of ionic systems under equilibrium conditions provides information and insights into the structure and composition of electrolyte solutions, melts, and solid electrolytes, while measurements under non-equilibrium conditions provide data on the electrical conductivity of ionic systems. In the field of electrodeics, the study of equilibria at the electrode/solution (or melt) interface is the domain of electrochemical thermodynamics. Measuring the rates of processes occurring at this phase interface and explaining the principles governing these processes fall under the scope of electrode process kinetics or electrochemical kinetics.

Download the e-book for free (pdf)

E-book

Katarína Cechlárová

Linear programming belongs to parts of mathematics with the greatest number of real applications. This Slovak-English problem collection provides an overview of basic knowledge in the area, application problems as well as problems to acquire routine in calculations. It is complemented by questions motivating the student to look for further theoretical principles, construct conterexamples  and formulate arguments to explain the studied phenomena.

Download the e-book for free (pdf)

E-book

Peter Fedoročko (eds.)

From June 14 to June 17, 2022, the 8th annual Spring School for Doctoral Students at Pavol Jozef Šafárik University in Košice will take place in Liptovský Ján. The scientific program of the spring school will comprise 3 plenary lectures by leading scientific experts and 1 workshop. Doctoral students will present their research papers in two sections: 22 doctoral students of Faculty of Public Administration, Faculty of Law and Faculty of Arts, and 26 doctoral students of Faculty of Medicine and Faculty of Science. The scientific programme of the spring school will also include a panel discussion with the management of Pavol Jozef Šafárik University in Košice.

Download the e-book for free (pdf)

E-book

Miroslava Martinková

This electronic material provides the basic principles of creating a systematic nomenclature of organic compounds, from the simplest hydrocarbons to the more complicated nomenclature of carbohydrates. For some groups of derivatives, alternative ways of generating system names are also mentioned, as well as the most common trivial names that are still in use in the literature and in practice, in some cases being the characteristic (dominant) ones. In the introductory section, the basic rules to be respected when writing names of organic compounds are discussed. This document is intended primarily for interdisciplinary undergraduate and graduate students as support material for the courses Organic Chemistry and Selected Chapters in Organic Chemistry and Biochemistry. In the final section of this document, solved examples are given so that the student can check how the rules for forming the names of organic compounds have been understood.

Download e-book for free (pdf)