Určitý integrál

E-book

Jozef Bednarčík

Crystallography deals with discerning the arrangement and bonding of atoms in crystalline solids. Almost immediately after their discovery, X-rays began to be used to study the internal structure of substances.

The first chapter of this textbook deals with the basic concepts of crystallography. At the beginning, crystalline solids are characterized. In the next section, the basic types of bonds and their characteristics are briefly presented. The main subject of this chapter is the interpretation of basic concepts such as symmetry operations, translational periodicity, grid, elementary cell. Spatial lattices and crystal systems are presented. At the end of this chapter, attention is paid to the description of individual types of defects in crystal structures. In the second chapter, the Bohr model of the hydrogen atom is presented. Individual quantum numbers and their meaning are given.

Next, energy levels and allowed transitions within an atom with multiple electrons are described. The second chapter concludes with the characterization of the basic absorption and emission processes. The third chapter is devoted to the production of X-ray radiation and its properties. Sources of X-ray radiation and a description of their operation are presented.

Interaction of X-ray radiation with matter, absorption and detection of X-ray radiation are the subject of the last part of this chapter.

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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

E-book

Soňa Király (ed.)

The book of abstracts from International Meeting on Advanced Materials, IMAM 2025, is composed of contributions from participants of this conference. The conference consisted of 16 lectures by mentioned conference participants. The conference is focused on advanced materials and its application in various research areas. All contributions are professionally processed and inspiring.

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Danica Studenovská a kol. 

Táto zbierka úloh je určená poslucháčom Prírodovedeckej fakulty UPJŠ, ktorí sa v rámci predmetu Matematika I. zoznamujú s pojmami funkcie, limity, derivácie, integrálu a ich aplikáciami. Ide najmä o študentov nematematických odborov a učiteľských kombinácií, avšak táto zbierka je vhodná aj pre iných študentov a záujemcov o základy matematickej analýzy.

Autori

E-book

Katarína Cechlárová (ed.)

This year, the Student Scientific Conference was held on April 24, 2019, across 17 sections in disciplines such as biology and ecology, chemistry, physics, geography, mathematics, informatics, and their didactics. Bachelor’s and master’s students presented a total of 124 contributions. The most successful participants advanced to national or traditional Czech-Slovak student scientific showcases in fields like physics, chemistry, mathematics, informatics, and mathematics didactics.

In addition to faculty students, 10 high school students participated outside the competition. They were invited based on their achievements in subject-specific Olympiads or because they were already engaged with the faculty under the guidance of dedicated teachers in laboratory work as part of their preparation for future studies. The day also featured a programming competition with 23 participants, an IHRA contest involving 16 teams of high school students and 15 teams from elementary schools, and a new Puzzle section where 72 high school students from the region competed.

The abstracts from the Student Scientific Conference demonstrate that our faculty's students not only absorb theoretical knowledge delivered in lectures but also actively engage in solving partial scientific problems that align with research objectives at the institutes of PF UPJŠ. This collection serves as both a record of scientific activity at the faculty and a dignified presentation for the broader public.

Prof. RNDr. Katarína Cechlárová, DrSc.

Vice-Dean for Education

Doc. RNDr. Gabriel Semanišin, PhD.

Dean of the Faculty

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E-book

Jana Shepa - Ivana Šišoláková (eds.)

Abstracts of the 4th International Conference Nanomaterials: Fundamentals and Applications (NFA) 2020 is the contributions summary of the conference participants. The conference will feature three invited lectures and eight registered lectures. This conference is a tool for creating a dialogue between experts in the field of nanomaterials, their use and overall application in various fields. Papers in the proceedings are thematically divided into 6 areas. All contributions are highly professional and interesting and can contribute to further creative scientific work.

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E-book

Miroslav Almáši

The scientific book of abstracts from the conference „Novel Trends in Chemistry, Research and Education 2023“ is a summary of the contributions of conference participants, which contain the original results of their scientific and research activities.

The contributions published in this volume can be divided according to content into the fields of analytical, inorganic, organic, physical chemistry, biochemistry, didactics of chemistry, and NMR spectroscopy.

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E-book

Juraj Ševc - Filip Mochnacký

Students studying biology as the single-subject or as a part of two-subject programs on various faculties of sciences are often encountered with the problem, how to limit the topics in the subject Human anatomy. This List of anatomical terms is aiming to help the non-medical students to get acquainted with the extensive anatomical nomenclature and to optimize the number of anatomical terms, which should be memorized, to preserve the sufficient capacity of the students for another knowledge of the field of systemic, comparative, developmental and functional anatomy. The emphasis on the arrangement of individual anatomical terms into the logical units supports the hierarchical view on the architecture of the human body.

Despite the common opinion, anatomical nomenclature represents a framework, which is during the further study gradually enveloped with the knowledge of more or less related disciplines concerning with the human body and its biological processes. Moreover, besides this ambition, which exceeds the area of the human anatomy, this List of anatomical terms continues the long tradition with respect to the valid Latin and Slovak anatomical terminology.

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E-book

Vlasta Demečková - Petra Hradická - Petra Adamková

The learning material for the course Practice in Immunology is based on several years of experience with teaching this subject, but mainly to provide students from the Biology Department at the Faculty of Natural Sciences, UPJŠ in Košice with sufficient theoretical background for practical exercises. It also serves as a scientific diary for detailed recording of all experimental data necessary for preparing laboratory protocols from individual exercises.

In studying biology, it is essential that students thoroughly understand not only the basics of each discipline but also acquire practical skills, including designing scientific experiments, selecting appropriate analytical/investigative techniques up to interpreting and presenting experimental data. The goal of this new publication is therefore to provide master's students with a practical study guide that supports and expands their knowledge about basic immunology principles.

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E-publication

Beáta Valkay ed.
Ivana Slepáková-Andrej Mock a kol.

The publication EFFUSE – River Landscape, Volume 2: Guidelines for Experts, developed within the EFFUSE project, is intended for professionals in the field of environmental sciences. It provides recommendations for research in river landscapes and highlights their importance for understanding ecological processes. The text presents bioindicators as a key tool for assessing landscape health and biodiversity conservation. A dedicated section explains why studying river landscapes as natural laboratories is essential. The publication also includes a practical manual for the Olympus DSX-1000 High End Model microscope, expanding opportunities in scientific education and research. In this way, it combines theoretical guidelines with modern technologies that enhance environmental knowledge.

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E-publication

Soňa Király

The Book of Abstracts of The 9th International Conference on Novel Materials Fundamentals and Applications, NFA 2025, contains 46 contributions from the participants of this conference. This congress is primarily focused on novel materials, ranging from theory to practical applications, with the aim of demonstrating how fundamental discoveries can lead to innovative implementations. All contributions are inspiring and professionally prepared.

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Ľubomír Kováč

Učebný text „Zoogeografia“ objasňuje základné princípy a historický vývoj rozšírenia živočíchov na Zemi, a ďalej analyzuje faktory, ktoré ho ovplyvňujú. Vďaka moderným vedeckým metódam a technikám výskumu je zoogeografia veľmi dynamicky sa rozvíjajúcou disciplínou. Z geologických etáp je podrobnejšie spracovaná problematika paleoklimatických cyklov kvartéru, holocénu a vývoja postglaciálnej klímy, ktoré zohrali významnú úlohu pri dynamike vývoja živočíšnych areálov. Areálová analýza charakterizuje a triedi areály živočíchov a ich dynamiku v nadväznosti na speciáciu. Podrobne je spracovaná problematika zoogeografických oblastí s dôrazom na palearktickú oblasť. Časť zameraná na dynamickú zoogeografiu rieši najmä problematiku refúgií a reliktov v súvislosti s vývojom pleistocénnej paleoklímy. Text stručnou formou sumarizuje základné antropogénne faktory, ktoré v recentnej dobe drastickým spôsobom limitujú rozšírenie živočíchov v rýchlo ubúdajúcom prírodnom prostredí na Zemi. Text ďalej prehľadným spôsobom charakterizuje biogeografiu Karpát a faunu územia Slovenska. Záverečná časť prezentuje fylogeografiu ako modernú vednú disciplínu zameranú na rekonštrukciu migračných ciest v postglaciáli, ktorá je podložená analýzou molekulárnych markerov populácií živočíchov v širšom geografickom kontexte. 

Autor

E-book

Andrea Morovská Turoňová

The discovery of radioactivity at the turn of the 19th and 20th centuries stimulated the rapid development of nuclear sciences. At the interface between nuclear physics and chemistry, disciplines such as radiochemistry, radiation chemistry and nuclear chemistry were formed.

The aim of the Nuclear Chemistry course which is taught at the PF UPJŠ is to provide basic knowledge, with an emphasis on the general value of the subject. It is important to make available the basics of various methods, techniques and their specifics in the application of nuclear phenomena in chemistry and related fields. Emphasis is also placed on the use of correct terminology, knowledge of the context of relationships and basic principles, supplemented by illustrative concrete cases.

The choice of material is rather difficult, but we count on additional monographs and textbooks to fill in the gaps of these teaching texts.

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E-book

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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E-book

Alena Gessert

Caves have always been very specific places throughout history. In some cultures, they served as sites for sacrifices or remembrance, while in others, they were seen as places where one could cross to the "other side of life." People used caves for shelter, as places to leave messages, to wait out bad weather, and in some cases, even lived in them. During wars in our region, entire families or villages would hide from enemies in caves, or they would use them to conceal weapons.

Today, in most countries, caves are destinations for tourists who want to experience something new and unknown: darkness, high humidity, and the fascinating beauty of underground formations. They are also sought after by cavers who long to explore caves, enter worlds where no human has set foot before, find evidence of previous habitation, or conduct research that continually advances our knowledge.

In the publication you are holding, we present both traditional and less conventional topics about the formation of karst and caves, selected ecological aspects, maps and their creation, significant caves of the world, and the life of people in such areas. We also offer an overview of important karst locations that are definitely worth learning more about or visiting in person. This publication is intended for readers among pupils, students, teachers, and the general public, and we believe it will draw you into this mysterious world.

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E-book

Veronika Niščáková - Ivana Šišoláková (eds.)

Abstracts of the 5th Intemational Conference Nanomaterials: Fundamentals and Applications (NF A) 2021 is the contributions summary of the conference participants. The conference will feature four invited lectures and ten registered lectures. This conference is a tool for creating a dialogue between experts in the field of nanomaterials, their use and overall application in various fields.

Papers in the proceedings are thematically divided into 6 areas. All contributions are highly professional and interesting and can contribute to further creative scientific work.

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