Matematická analýza 1

E-publication
Mária Vilková-Zuzana Kudličková-Ján Elečko
This study material is intended for students of chemistry and related disciplines interested in applied nuclear magnetic resonance (NMR) and physical chemistry. It offers practice-oriented tasks designed to develop skills in NMR spectroscopy, quantitative analysis, and data interpretation. Students learn modern approaches to determining physicochemical parameters (e.g., partition coefficients, pKa values, keto–enol equilibria, or enantiomeric excess) and gain experience with software tools for spectrum processing.
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Michal Hnatič - Tomáš Lučivjanský

This textbook is primarily intended for first-year master's degree students at Pavol Jozef Šafárik University in Košice, especially those in the nuclear physics, subnuclear physics, and theoretical physics programs. For many years, these lectures were taught by one of the authors at this university, and naturally, over time, there arose an effort to provide these lectures to students in printed form.

In this textbook, we will focus mainly on classical field theory, its quantization based on the operator approach, and the introduction of interactions. Descriptions based on functional integration, Feynman diagram techniques, and more advanced parts will be covered in a subsequent volume of the textbook. In this context, we want to emphasize that in many modern quantum field theory textbooks, the operator approach is used to a lesser extent and is replaced by the approach using (functional) path integrals.

This is probably due to time considerations, as the functional approach leads much faster to practical calculations. On the other hand, we believe that the operator approach is better from a pedagogical point of view. It is much closer to the traditional quantum mechanics course, which is often based on the Schrödinger or Heisenberg formalism. Therefore, students can much more easily follow the flow of ideas that led to the construction of quantum field theory and its fundamental concepts.

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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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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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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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Ľubomír Antoni-Stanislav Krajči

An important part of theoretical computer science is the problem of Turing machines. This computational model has two basic properties: like any other computational program, the software of a Turing machine is composed of instructions, but in its case they are all of a single type. Every other (so far known) computer program can be transformed into a Turing machine program without loss of information. While the second feature reduces the question of what a calculator cannot do to the question of what a Turing machine cannot do, the first feature allows a much simpler investigation of such a question. Using this computational model, we can thus find concrete problems that no automaton can ever deal with (perhaps the most famous is the problem of the Turing machine stopping). Their existence demonstrates the fundamental limitations of (not only ideal) computational means, and thus encourages both criticality and humility in our thinking.

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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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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.

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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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E-book

Norbert Kopčo

Neuroscience is an interdisciplinary field of science at the interface of biological, psychological and computer sciences, which aims to describe the functioning of the brain and mind. Computational and cognitive neuroscience are subfields of neuroscience focused on the study of information processing in the human and animal nervous systems, and on the theoretical description of the brain and mind. This university textbook contains several assignments that provide an overview of the methods used in computational and cognitive neuroscience, with an emphasis on mathematical modeling and on the behavioral study of cognitive processes. The textbook builds on the author's previous works.

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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-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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Jozef Kováčik

These "Exercise Manuals" present a concise overview of commonly used methodologies as well as progressive techniques, such as the use of liquid chromatography and fluorescence microscopy. Individual tasks were selected based on the research focus of the Department of Botany at the Faculty of Science, Pavol Jozef Šafárik University in Košice, particularly in the context of "stress physiology."

Some tasks can also be utilized within the subject "Plant Ecology." Chamomile (Matricaria chamomilla) is typically used as a model plant for individual tasks due to its long-standing history of research at the Department of Botany and its ease of cultivation under laboratory conditions. The chapters also briefly discuss the significance of monitored parameters, principles of their determination, and metabolism (formation or degradation), aiming to indicate their mutual context.

This approach highlights that determining an individual parameter cannot provide a general explanation for the overall causes and impacts of observed changes; however, it can serve as a basis for testing hypotheses at the level of other parameters.

For deeper study of specific issues, there is an abundance of high-quality international monographs and review articles available.

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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 Štrofeková

Cell Biophysics II is the one semester comprehensive course textbook for PhD students. It encompasses basic principles and mechanisms underlying cell physiology and biophysics with aims:

• General knowledge of the principles of cellular function, including membrane, cytoplasmic and nuclear roles in normal and abnormal conditions.
• In-depth understanding of the mechanisms underlying the cell functions at the molecular and subcellular level.
• Awareness of cell pathologies that lead to specific disease symptoms and phenotypes.
• The ability to apply learned principles to solve new problems (analysis & synthesis).

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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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