Matematická analýza 1

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

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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Peter Paľove-Balang

The text ‘Uptake and transport of mineral substances in plants’ in Slovak language provides a general overview of the uptake and distribution of substances in an easy-to-understand form.

The individual chapters introduce students to the properties of the soil environment, which have a significant influence on the availability of substances, as well as the transport of substances across membranes and over medium and long distances. The text contains the latest findings from the English literature, supplemented by diagrams and graphs created by the author on the basis of his own research or by compiling several sources.

The text is intended primarily for students of a master's degree in biology or ecology and assumes at least a basic knowledge of plant physiology.

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Janetta Nestorová Dická

The university handbook Elementals of Population Geography and Demography - Part I, as an introduction to population studies, is primary study material for students of the geography study program, as well as for students of the Information Systems in Public Administration study program at the Pavel Jozef Šafárik University in Košice, but also for the wider public interested in about population phenomena and their spatiality. Among other things, the handbook offers the latest population reports in the world and its regions.

The aim of the handbook is to introduce young geographers to the basics of population research, which includes the most frequently used tools and methods in geographic analysis. The first part of the handbook contains an introduction to the scientific disciplines of population geography and demography with an overview of basic sources of demographic data.

The next part discusses the issue of anthropogenesis, i.e. the development of humans from our ancestors and the spatial spread of humans across our Earth. Part of this part is the recent development of the world population and changes in the size and distribution of the global population over time. The last part analyses how the population is distributed in the world and in relation to the geographical components of the space.

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Ondrej Hutník a kol. 

Zbierka úloh z matematickej analýzy III. je pokračovaním predchádzajúcich dvoch vydaných zbierok autorov Kulcsár a Kulcsárová. Táto časť obsahuje príklady na zopakovanie a precvičenie učiva stredných škôl, ako aj časti prvého semestra kurzu matematická analýza určeného pre študentov matematiky, fyziky, informatiky a učiteľského štúdia v kombinácii s matematikou. Zbierka môže tiež pomôcť všetkým učiteľom, ktorí chcú použiť rôzne úlohy vo svojom vyučovaní. Zbierka zahŕňa oblasť postupností reálnych čísel: aritmetické a geometrické postupnosti, všeobecne a rekurentne zadané postupnosti, nachádzajú sa tu úlohy na vyšetrovanie vlastností postupností (monotónnosť, ohraničenosť, konvergencia) a výpočet rôznych typov limít. Všetky zadané úlohy sú vyriešené na konci každej kapitoly s podrobným komentárom.

Autori

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Katarína Cechlárová (ed.)

In 2018, the Student Scientific Conference was held on April 18, 2018, in 16 sections covering biology and ecology, chemistry, physics, geography, mathematics, computer science, and their subject didactics. There were 110 registered contributions from bachelor's and master's students. Additionally, eight high school students participated outside of the competition; these students already visit our alma mater at a young age, work in our laboratories, and prepare for further studies under the guidance of our enthusiastic teachers. The day also included a programming competition and the IHRA competition in three categories, where students from PF UPJŠ competed alongside pupils from elementary and secondary schools.

The abstracts of the Student Scientific Conference contributions convincingly demonstrate that PF UPJŠ students study their field not only theoretically but also actively engage in solving partial scientific problems that are part of the research goals at PF UPJŠ institutes. This collection provides an overview of scientific activity at the faculty, which we believe will be interesting for the broader public as well.

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Mariana Budovská

The aim of writing the university textbook "Selected Heterocyclic Compounds" was to create a study aid for students of the Organic Chemistry program, which provides essential information in a clear format for the subject of Heterocyclic Compounds. In selecting the content of the textbook, the goal was to present basic information about the chemistry of the most significant heterocycles. Given that the summary of chemical knowledge about heterocycles is vast, it was not possible to include all heterocyclic compounds in the content.

The intention was for readers to orient themselves in the field of heterocyclic compounds. Separate chapters included in the content address the nomenclature of heterocycles, basic chemical properties of individual heterocycles, their synthesis and reactions, the occurrence of heterocycles in nature, and their practical applications (medications, dyes, pesticides, detergents, etc.).

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Marián Kireš  (ed.)

Proceedings of Abstracts from the Student Scientific Conference of the Faculty of Science, Pavol Jozef Šafárik University in Košice

The Student Scientific Conference (SSC) represents the culmination of long-term and intensive work on a selected topic, collaboration with a supervisor, or a broader team at the workplace. In practice, however, it often marks the beginning of scientific research, focusing on a chosen subject, field, or close cooperation with a future supervisor of a bachelor's, master's, or doctoral thesis.

This year, the Student Scientific Conference took place on April 19, 2023, featuring 14 sections, a programming competition, and the IHRA contest. Bachelor’s and master’s students presented 101 contributions. Additionally, 8 high school students participated non-competitively, presenting their SOČ projects; 14 students took part in the programming competition, and 3 students competed in the IHRA contest.

We believe that the proceedings of abstracts and related documents serve not only as an archive but also as a dignified presentation of scientific activities at our faculty for the wider public.

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E-publication

Beáta Valkay ed.
Ivana Slepáková-Monika Balogová a kol.

EFFUSE - Scientific Education for Advanced is an educational material designed for university students interested in ecological sciences, biology and environmental protection. The publication was developed as part of the EFFUSE project and focuses on the scientific investigation of living organisms in the river ecosystem, with an emphasis on their ecological role and importance as bioindicators. The river ecosystem is a dynamic environment where a wide range of organisms can be studied, from algae and phytoplankton to aquatic invertebrates, fish, amphibians and reptiles. This publication presents a detailed study of their adaptations, life cycles, reproductive strategies and their importance for ecological balance. Particular attention is paid to fish and amphibians, whose environmental demands and sensitivity to pollution make them important indicators of water quality and environmental status. The publication also provides guidance on how to integrate their study into university education in the form of practical research. It also includes a chapter on science education in the context of sustainable development, which is often absent from university curricula in Slovakia and Ukraine. This material promotes the link between theory and practice and develops students' scientific thinking in order to prepare them to meet the environmental challenges of the future.

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Ján Füzer

Auxiliary teaching material for the course General Physics III – Oscillations, Waves, and Optics is intended for students of single-subject and interdisciplinary studies of physics.

The content provides a basic outline of the material covered, without detailed explanations, with an emphasis on the physical method of thinking using the simplest elements of higher mathematics. The presented text does not aim to replace the recommended textbooks, but rather to help students navigate the subject matter. Recommended literature can be found at the end of the text.

The teaching material contains the basic framework of the lectures and is supplemented and revised each year, with lectures enriched by supporting demonstration experiments.

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Tomáš Samuely

Today, scanning probe microscopes are standard tools in materials science, physics, chemistry, biology, and engineering. Thousands of these microscopes are in operation worldwide and are at least as common and popular as scanning electron microscopes.

Despite the vast number of newer scanning probe microscopy techniques, classical STM remains a significant and irreplaceable method, widely used, for example, in solid-state research. In this text, we will focus on both traditional and innovative STM techniques that are available and utilized in the laboratories of the Center for Low Temperature Physics in Košice.

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E-publication

Denisa Maceková-Monika Václavková-Marek Kvet-Ivana Sotáková

The publication Digiform: A Supporting Application to Digilib – User Guide, Part B presents the Digiform web application as a tool that extends the functionality of the Digilib digital library of formative assessment tools. The application enables the creation and editing of formative assessment tool templates, which can be adapted to the specificities of individual subjects and levels of education and subsequently imported into the Digilib environment for use in the teaching process. The guide provides a detailed description of how to work with the Digiform application, from creating new templates, editing and personalising them, through to their export and implementation in the main Digilib application. Attention is also given to the interconnection with the Digilib Images application, which enables the integration of visual elements into the assessment tools, thereby enhancing their didactic effectiveness and visual appeal. The guide is intended for teachers at all levels of education, student teachers, school administrators, and digital coordinators who are interested in the systematic use of the Digilib digital library to support the implementation of formative assessment, enhance the quality of the educational process, and foster the development of students’ self-assessment and reflective competences.

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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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Adriana Zeleňáková

One of the fundamental characteristics of the magnetic state of ferromagnetic materials is the existence of a domain structure. The university textbook "MAGNETIC DOMAINS: SPECIAL PHYSICAL PRACTICE 1" is intended primarily for students of the Master's programme in Physics of Condensed Matter FKLm and for the PhD programme in Progressive Materials PMd within the profile subject Special Practice 1 at the Institute of Physical Sciences of the Faculty of Sciences of the Pavol Jozef Šafárik University in Košice.  The textbook is divided into seven chapters. The first chapter is devoted to the basics of domain theory, including the history of domain observation and the specification of different types of energies in ferromagnetic body. The second chapter presents the relationship between domain structure and magnetisation processes in ferromagnetic materials The third chapter describes the different types of domain-wall interactions with the defect. The fourth chapter illustrates examples of domain structure in selected ferromagnetic body such as grain oriented and non-grain oriented electrical steels, amorphous and nanocrystalline ribbons. The fifth chapter summarises an overview of the different experimental methods used to visualise the domain structure and their advantages or disadvantages with respect to the structure of ferromagnetic materials. The last two chapters, the sixth and the seventh, are devoted to specific experimental tasks for observing the domain structure of a selected polycrystalline sample using the optical microscope Bitter powder method and the MFM (magnetic force microscopy) method. During the preparation of this undergraduate text, its individual parts were developed using the foreign language literature listed in the recommended references.

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Karel Saksl

The aim of these study texts is to provide students in the second and third levels of higher education with specific guidance on processing 2D diffraction data, performing phase analysis from X-ray diffraction data, and refining microstructural parameters of identified phases using the Rietveld refinement method.

This guide is designed in the form of real-world tasks from materials research and leads the reader step by step through the processes of processing, evaluating, and interpreting the measured data. For this purpose, freely accessible programs such as Fit2D, QualX, POV-Ray, and GSAS II will be used, as well as a freely downloadable commercial program (Diamond) that allows for task execution in demonstration mode. Phase analysis will be conducted exclusively using the freely distributable crystallographic database Crystallography Open Database (COD).

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E-book

Vladimír Zeleňák (ed.)

The publication contains abstracts of contributions presented at the Student Scientific Conference of the Faculty of Natural Sciences at UPJŠ in Košice, held on April 25, 2013. The event was marked by the celebration of the 50th anniversary of the Faculty of Natural Sciences at UPJŠ and was part of a series of events called ScienceFest.

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