Zbierka úloh z matematickej analýzy III.

E-publication

Beáta Valkayed.
Ivana Slepáková-Lenka Maliničová a kol.

The EFFUSE Teacher's Guide is a practical educational material for primary and secondary school teachers who want to develop environmental awareness with their pupils through field-based learning. It is based on the concept of the EFFUSE project (‘Environment for the future by science education’), which aims to link science, research and education with environmental protection. The manual provides teachers with methodological support for planning and implementing outdoor activities aimed at observing and documenting organisms around the Laborec River and the Uh River. It contains instructions for working with real samples, basic biomonitoring procedures and offers the opportunity to participate in the creation of a virtual laboratory that mirrors the state of the local aquatic ecosystem. Through these activities, pupils will learn to understand the links between human activity and the state of the environment, while learning the basics of how scientists work in the fields of biology and ecology. The guide also motivates teachers to become agents of positive change, inspire the younger generation to be active and engage the community in conservation. It is a challenge and an opportunity to create a space for meaningful learning in line with current trends in environmental and digital education.

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Gabriel Semanišin - Emil Hutňan - Jana Oleničová

The proceedings contain abstracts of contributions from participants of the UNIFOS 2014 conference, University Information Systems in Košice, which took place from October 27 to 29, 2014.

ICT centers are important element that provide functioning and development hardware and software infrastructure at Slovak Universities. There are more differences between them in real position, management, personal sources and financing. ICT centers provide a wide range of services to large number of university users and they implement the policy of information security recently.

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E-publication

Jozef Strečka-Katarína Karľová

The proceedings include the programme and abstracts of the workshop Magnetic Cooling and Frustrated Magnetism, held in Košice on October 27–29, 2025. The event is organized with the support of the French National Research Agency (ANR), the Faculty of Science of Pavol Jozef Šafárik University in Košice, and the Slovak Research and Development Agency. The workshop focuses on current challenges in quantum physics, particularly frustrated magnetism and magnetic cooling. Participants will present original research results that may significantly contribute to the development of future quantum technologies.

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Katarína Kimáková

The textbook is intended for university students who are preparing for the profession of biology teacher. The structure of the book is similar to an encyclopedia, with one page devoted to each content item, but the topics of the chapters and subchapters follow each other.

The explanatory text on the page illustrates the diagram and there are notes and links to other sources of information. For better orientation, the content of the textbook is divided into 8 sections, which cover several chapters. It follows the general didactics, which it connects with the teaching of biological content. The book provides a basic orientation in the approaches to learning this subject, and also explains the relationship between biology as a science and the didactics of biology. It deals with teaching standards and curricula, advises on how to master biological concepts and understanding, how to communicate with students in biology classes, when and why are effective visual and practical methods. It acquaints the reader with the issue of setting goals for biological education in the cognitive, psychomotor and affective areas in relation to formative and summative assessment.

Hopeful as well as experienced teachers will find in this publication not only a look into the history of teaching biology, but also a look into the future. Current trends in biology teaching, the connection of teaching with digital technologies, the virtual learning environment and interactive simulations and models belong to science lessons today.

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Ivan Potočňák a kol.

The textbook represents a study literature on the subject of General chemistry, which is a compulsory subject of bachelor courses in Chemistry and Chemistry -  interdisciplinary study, the first year. This textbook contains 15 + 2 chapters in the whole range of 170 pages that follow the content of lectures and by means of examples and theoretical tasks consolidate and extend knowledge gained from lectures.

E-book

Jozef Bednarčík (ed.)

The SFEL school is continuation of the Winter Schools of Synchrotron radiation held in 2011, 2013, 2014 and SFEL 2017, 2018 and 2019. All schools of the series were held here, in Liptovský Ján, where our conference venue offers conditions for friendly and creative atmosphere.

The aim of the SFEL 2022 school is to facilitate the growth of a new Slovak research community with high expertise in the area of high-efficiency RTG laser, synchrotron and neutron sources. The SFEL school is designed for efficient transfer of the rapidly developing know-howin these areas to young generation – researchers and university students. The next aim of the SFEL2022 is strengthening of personal connections between the local Slovak research community and actually forming scientific teams of XFEL users, scientific teams of synchrotron or neutron sources users, respectively.

Slovak research community thus can take advantage of the fact that Slovakia is a shareholder of the European XFEL GmbH company in Hamburg, but also makes more efficient use of other closely related scientific facilities, including ILL and ESRF in Grenoble and DESY in Hamburg.

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E-book

Jozef Bednarčík - Hana Vargová (eds.)

The Czech and Slovak Conference on Magnetism (CSMAG) is a scientific meeting that honors a longstanding tradition initiated in Košice in 1960. Evolving from a regional gathering of the Czechoslovak magnetic community into a prominent international forum, CSMAG brings together researchers from diverse fields of magnetism. The conference covers a wide range of topics including theoretical and experimental magnetism, magnetic materials for energy and spintronics applications, low-dimensional and molecular magnets, rare-earth and actinide systems, and multifunctional materials. With contributions from over 20 countries, CSMAG’25 fosters cross-disciplinary collaboration and showcases the latest advances in both fundamental studies and practical applications of magnetic phenomena.

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E-book

Adela Kravčáková - Stanislav Vokál - Janka Vrláková 

The presented “General Physics IV, Part 1: Atomic Physics” is intended as a basic study material for lectures from General Physics IV in the second year of bachelor-level study of physics and interdisciplinary study in combination with physics at the Faculty of Science, P. J. Šafárik University in Košice. The content covers the first part of the given course of physics, devoted to atomic physics.

The aim of the course is to obtain basic information about the structure of the atom and the electron shell of the atom.

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Miroslav Almáši  Nikolas Király   eds.

The conference proceedings of Porous Materials for Environmental Applications 2026 represent a collection of scientific and professional contributions presented at the international scientific conference held on 15–19 March 2026 in Białka Tatrzańska (Poland). The conference focused on current trends in the research of porous materials and their applications in environmental, catalytic, energy-related, and biomedical fields. The event provided an interdisciplinary platform for the exchange of the latest scientific knowledge in the design, synthesis, characterization, and practical utilization of porous materials.

Particular attention was devoted to their application in adsorption and separation processes, heterogeneous catalysis, photocatalysis, energy storage and conversion, as well as in biological and medical applications. The published abstracts reflect current challenges related to sustainable development, green technologies, and advanced materials solutions. The proceedings offer a comprehensive overview of the current state of porous materials research at the international level and document the dynamic development of this field with significant overlap into environmental chemistry, materials science, and chemical engineering.

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Peter Kollár a kol. 

Skriptá Základné fyzikálne praktikum II. sú určené pre študentov Prírodovedeckej fakulty UPJŠ v Košiciach študujúcich na študijných programoch fyzika a medziodborových programoch v kombinácii s fyzikou. Obsahom skrípt sú úlohy z elektriny, magnetizmu a optiky. Podľa študijných programov sú zaradené do 3.semestra bakalárskeho štúdia, v ktorom by už študenti mali mať absolvovaný predmet všeobecná fyzika II. (elektrina a magnetizmus). Súčasťou každej úlohy sú základné poznatky venované javom, ktoré sú obsahom samotnej úlohy.

Autori

E-publication
Soňa Király

The Book of Abstracts of the institutional conference Novel Trends in Chemistry, Research and Education 2025 consists of 88 contributions that reflect the current scientific direction and disciplinary diversity of chemical research at our faculty. The publication is divided into several chapters, including abstracts of 6 invited lectures, 4 plenary lectures, and thematically oriented sessions covering a broad spectrum of chemical disciplines. A total of 78 abstracts are included within the sections.

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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-publication

Mária Ganajová-Ivana Sotáková-Petra Letošníková

The conference proceedings FORMATIVE 2025 – Implementing Formative Assessment in Schools Together constitute the output of an online conference organised by the Institute of Chemical Sciences, Faculty of Science, Pavol Jozef Šafárik University in Košice, in cooperation with the National Institute of Education and Youth in Bratislava, within the framework of the KEGA project No. 001UPJŠ-4/2023. These proceedings present current knowledge, experience, and examples of good practice in implementing formative assessment in primary, secondary, and university teaching, with an emphasis on the use of digital tools. The papers address the foundations of formative assessment in the context of curricular changes and the ongoing educational reform, as well as specific didactic procedures for its implementation in the teaching of science and social science subjects, including mathematics, Slovak language, and foreign languages. Particular attention is paid to the development of professional teaching competences, formative assessment strategies, providing targeted feedback, and promoting students’ active participation in the assessment process. These proceedings also present the Digilib digital library, a tool developed to support the creation and management of formative assessment processes within the school environment. This publication is intended for experts in pedagogy and didactics, teachers at all levels of education, student teachers, digital coordinators, and all those interested in educational innovation and in improving the quality of teaching through formative assessment.

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E-book

Ondrej Hutník

The concept of the integral is one of the most significant concepts in mathematics as a whole. In its most primitive form, it was already used by the ancient Greeks in the creation of Euclidean geometry. However, it was only after Descartes' work on analytical geometry in 1637 that mathematicians could begin to consider the integral as a subject of analysis. Descartes' work laid the groundwork for the discovery of infinitesimal calculus by Leibniz and Newton around 1665. At that time, a great dispute arose over the priority of this discovery, dividing scholars of Germany and England into two opposing camps, each favoring their own champion. Today, we know that Newton's work on fluxions and fluents was somewhat earlier, but Leibniz's notation and approach have gained more acceptance in the mathematical world, and the symbols ∫ ∫ and d d are still used today. A brief overview of the history of the integral will be presented in Chapter 1.

Today, there is a plethora of scripts, textbooks, and books dedicated to explaining the concept of the integral. Therefore, every potential author faces the initial question of whether to write another text on this topic. Our affirmative answer to this question was driven by the students' request to find the subject matter of a part of the winter semester of the second year presented in a coherent form. The second motivation is a slightly different approach to the topic. If we consider the methods typically used in solving problems and gaining routine with a certain integral, it mainly involves the Newton-Leibniz formula, and often there is little time left to compute the definite (Riemann) integral using its definition. Therefore, we included a discussion of the Newton integral in Chapter 2, which reflects this fact and is directly related to the indefinite integral, whose various calculation methods receive relatively much attention in the previous semester. Only after that, in Chapter 3, do we build the theory of the Riemann integral, present criteria for its existence, classes of integrable functions, basic properties, and finally its relationship with the Newton integral. Questions primarily concerning geometric applications are addressed in Chapter 4, and in the final chapter, we focus on extending the Riemann integral to unbounded functions and unbounded intervals.

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E-book

Renáta Oriňáková (ed.)

Book of abstract

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E-book

Daniela Kladeková

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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