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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.
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Flow cytometry is a diagnostic and research technique that enables rapid analysis of cells, nuclei and organelles of plants and other organisms. In plant biology, it is most often used for DNA content analysis in a wide range of applications. It is the method of first choice and its importance is even increasing compared to competing technologies. It is unrivaled in speed, accuracy, repeatability and low cost. Flow cytometry has become a standard tool in laboratories focused on biological-ecological plant research.
This textbook provides information on the historical development of flow cytometry and its establishment in the analysis of the plant genome. It describes the procedure of sample analysis to determine the nuclear DNA content and presents the basic applications, such as determination of genome size, ploidy level and reproduction modes of plants and determination of endopolyploidy level in plant tissues. These college textbooks are intended for students, teachers and anyone interested in the use of flow cytometry in scientific work with plant cells.
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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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Adriana Zeleňáková - Jozef Bednarčík
Peer-reviewed Proceedings of the Scientific Conference NANOVIR
The main objective of the scientific conference NANOVIR was the presentation of scientific results obtained during the implementation of the NANOVIR project – Nanoparticles for solving diagnostic and therapeutic problems with COVID-19, co-financed by the European Regional Development Fund within the Operational Programme Integrated Infrastructure 2014 – 2020, ITMS: 313011AUW7.
The project was carried out from January 1, 2021, to June 30, 2023, and was supported with a sum of EUR 1,916,004.79. Three co-investigating organizations participated in the project: Pavol Jozef Šafárik University in Košice as the main investigator, the University of Veterinary Medicine and Pharmacy in Košice as partner no. 1, and the Institute of Experimental Physics of the Slovak Academy of Sciences as partner no. 2.
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The university textbook deals with the latest knowledge from the systematics of vascular plants in a clear manner. Vascular plants arose in the Silurian period in the Paleozoic, when the first primitive plants moved from water to dry land, which required evolutionary progress in the morphological and anatomical structure of these plants. During about 420 million years of the existence of vascular plants, several of their main groups have evolved: the spore vascular plants, including the lycopods (branch Lycopodiophyta) and group of ferns and related plants (branch Monilophyta), and the seed plants, including gymnosperms (branch Gymnospermae) and angiosperms ( Angiospermae), which currently dominate among plants. The textbook provides a brief but comprehensive overview of the main groups, orders and families of plants with their description, distribution, main representatives, while also addressing the useful properties of selected species. The work is complemented by an overview of the system of plants by Cronquist, Tachtadžjan, APG and an overview of the families of the Slovak flora, as well as a taxonomic index.
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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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Ľubomír Antoni a kol.
In university textbooks, we present the basics of the Internet of Things, its origin and technological development, concept. We classify Internet of Things applications into the areas of healthcare, intelligent environment, personal and social areas, transport and logistics, smart cities.
We present an overview of university subjects in the field of the Internet of Things, which were created and innovated at Slovak universities within the national project IT Academy - Education for the 21st Century. We present extended subject annotations, application examples and case studies using various methods in the field of the Internet of Things.
University textbooks are intended for students of bachelor's, master's, engineering and doctoral study programs in computer science, but also in non-informatics fields.
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Andrea Morovská Turoňová - Renáta Oriňaková - František Kaľavský
The university textbooks "Practical Exercises in Physical Chemistry" are intended as teaching literature for students of the 2nd year of the Chemistry study program and the 3rd year of the interdisciplinary study program at the Faculty of Science of the Pavel Jozef Šafárik University in Košice.
The three chapters summarize the basic knowledge of thermodynamics, electrochemistry and kinetics, the next chapter deals with the measurement of some other physico-chemical quantities. The tasks developed on the basis of cooperation with the Criminalistics and Expertise Institute of the Police in Košice, which also participates in the innovation of practical teaching, are also very attractive and interesting for students. Thematic units are updated and supplemented by new knowledge, principles as well as detailed working procedures using new instrumentation.
The aim of laboratory exercises in physical chemistry is to illustrate and confirm the physicochemical laws and correlations that apply to the quantitative description of chemical phenomena. Students will learn to use instruments and equipment that occur in physico-chemical laboratories, they will learn the principles of accurate and correct quantitative measurement of physical quantities, important from a chemical point of view. They can also develop professional and scientific communication skills, and we want to support their creative approach to making measurement protocols.
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Lucia Andrezálová, Zdeňka Ďuračková,Mária Chomová,Vladimír Jakuš, Miriam Ježovičová, Jana Muchová, Zuzana Országhová,Ingrid Žitňanová
Chemistry and biochemistry at medical faculties are integral parts of basic theoretic knowledge of contemporary graduate. Educational book “Textbook of Medical Chemistry” is destined to students of study branches General Medicine and Dentistry for the course “Medical Chemistry”.
It is structured into 13 chapters concerning several topics: general and physical chemistry, organic chemistry, chemistry of natural substances (static biochemistry), enzymology and oxidative stress.
Individual chapters provide comprehensible explanation of the fundamentals of physico-chemical, chemical and biochemical relationships applying in living systems as well as the knowledge of the structure of biologically important molecules (simple molecules and macromolecules) related to their properties and biological function.
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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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The current teaching of chemistry has its specific problems. On one hand, due to the shift of the focus of chemistry curriculum towards theoretical content, the difficulty of chemistry material has increased, and in connection with this, students' interest in chemistry has decreased.
The lack of student interest in chemistry is mostly supported by the opinion that it is precisely chemistry that significantly contributes to the deterioration of environmental quality. On the other hand, we live in an era where we encounter chemical products practically everywhere. It is necessary to learn the basics of chemistry as well as possible, which makes the question of increasing interest in chemistry education and improving its effectiveness very relevant. State educational programs have been introduced into Slovak schools as a foundation for the creation of school educational programs. These emphasize not only acquiring a certain amount of knowledge but also the development and enhancement of key and specific competencies of students, preparing them for lifelong learning and their application in life.
Therefore, increasing attention is being paid to one of the fundamental didactic tools for raising student activity in teaching, and thus improving the effectiveness of chemistry education – learning tasks. From both theory and practice of chemistry teaching, we know that learning tasks, questions, examples, exercises, etc., are among the important components of every teaching lesson. Learning tasks are applied in all phases of teaching – in the motivational phase, the phase of acquiring knowledge, the phase of consolidating knowledge, and the phase of checking the acquired knowledge. It is therefore clear that every teacher will sooner or later find themselves in a situation where they will have to select learning tasks from textbooks, workbooks, collections of problems and examples, or create them themselves.
This scientific monograph is intended for educational specialists and chemistry teachers, aiming to familiarize them with examples of various types and forms of learning tasks and the basics of their creation in chemistry. It can also be helpful for them in preparing certification works focused on test creation and their statistical evaluation.
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Monika Balogová - Viktória Vargová - Kristián Gulyás - Natália Pipová - Dalibor Uhrovič -Marcel Uhrin
A peer-reviewed publication dealing with the biology and ecology of the European green toad, bringing new findings through scientific research on the roosting ecology, spatial activity and dispersal of this protected species in urban environments. The subject matter of this publication is highly topical, as amphibians represent the most threatened vertebrate group in the world. This work is suitable not only for university students interested in batrachology, amphibian ecology, and vertebrate zoology, but also for conservation workers, municipalities, and specialists directly involved in the reconstruction of urban areas with green toads. Last but not least, this publication is suitable for enthusiasts with an interest in nature and its conservation.
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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Gabriela Andrejková - Ľubomír Antoni
Machine learning addresses the issues of how computer programs recognize complex patterns and make decisions based on data. In these university textbooks, we focus on theoretical knowledge in the field of machine learning in which we present the creation of concepts for objects, the preparation of concepts, hypotheses and the process of learning from examples. We describe Boolean formulas and their representations, probabilistic learning, linear and logistic regression, linear modeling and classification. Clustering and the Bayesian approach to machine learning conclude this publication.
University textbooks are intended for students of master's degree programs in computer science.
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Magnetic nanoparticles are extremely interesting magnetic objects that still hide much that is undiscovered, both because of their physical properties and because of their diverse applications. Iron nanoparticles, or iron oxides, are used in medical diagnostics for magnetic resonance imaging, in the treatment of hyperthermia, and an important application is the use of magnetic particles for targeted drug delivery.
The textbook "Magnetic Nanoparticles: Nanomagnetism, Preparation and Advanced Applications" is intended primarily for students of the Master's programme in Physics and students of related disciplines at universities and faculties with a physical, chemical, metallurgical and biophysical focus. The motivation for writing this textbook was to develop study material that would contribute to improving the quality of teaching in the profile subject Nanomaterials and Nanotechnology at the Institute of Physical, Faculty of Sciences, UPJŠ, in the Master's programme Condensed Matter Physics, as well as in the profile subject in the PhD programme Advanced Materials.
The university textbook is divided into eight chapters. The first and second chapters are devoted to basic information about magnetism, the origin of nanomagnetism in nanoparticles and surface phenomena. The third and fourth chapters are devoted to nanomagnetism in nanoparticle systems. The fifth chapter describes in detail individual protocols for investigating the phenomenon of superparamagnetism and the phenomenon of superspin glass using the SQUID device. The sixth chapter describes individual procedures for the preparation of magnetic nanoparticles and the seventh chapter describes individual experimental techniques for the study of magnetic nanoparticles. The final eighth chapter describes the applications of nanoparticles in biomedicine.
During the writing of this textbook, the chapters were prepared using the foreign-language specialist literature listed in the recommended reading list.
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College scripts Programming in Python 1 are intended for future teachers of computer science. The content of the course is related to the teaching of programming in Scratch and is an introduction to text-based programming in Python.
Programming is introduced as a means of developing problem-solving skills. The first chapter is devoted to problem solving. The next 12 chapters sequentially introduce basic language constructions, data structures, and selected types of algorithms. Each of these chapters begins with an introduction to the problem. This section is primarily intended for self-study, to prepare students for the exercises. The following subchapter summarizes and completes the knowledge, and additional insights and approaches related to the chapter topic are presented. The chapters include a collection of exercises designed to practice and deepen knowledge and skills on the topic.
The final part of the chapter presents the solved problems. This section serves as a guide to solving the problems in the collection.
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E-book
Miroslav Almáši(ed.)
The proceedings of the conference 60 YEARS OF SCIENCE AND EDUCATION IN THE FIELD OF INORGANIC CHEMISTRY IN EASTERN SLOVAKIA comprise a collection of scholarly and scientific contributions presented on the occasion of the 60th anniversary of the establishment of the Department of Inorganic Chemistry at the Institute of Chemistry, Faculty of Science, Pavol Jozef Šafárik University in Košice. The conference focused on reviewing the scientific, research, and educational activities in the field of inorganic chemistry in eastern Slovakia and highlighting significant achievements accomplished over the sixty-year history of the department. The abstracts included in the proceedings cover a broad range of topics that reflect current trends and directions in inorganic chemistry. The proceedings are thematically divided into four main areas, encompassing contributions dedicated to inorganic, coordination, bioinorganic, and materials chemistry. This collection offers a valuable overview of the current state of research in inorganic chemistry, as well as its teaching and historical development in eastern Slovakia..
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