Polovodičové prvky

E-book

Valéria Skřivánková - Martina Hančová

The publication is focused on discrete random processes, primarily on Markov chains, which have wide application in the field of economics and finance.

The textbook is divided into five chapters, the first of which serves as an introduction to random processes and provides definition, properties and classification of random processes in general. The second chapter discusses Markov chains with discrete time, including valuation of transitions between states and their optimal management. The third chapter focuses on special Markov chains with continuous time and emphasizes construction and solution to the system of Kolmogorov differential equations, which describe the dynamics of the process development. The last two chapters illustrate applications of Markov chains using examples of queuing system modeling and renewal theory.

Besides the explanation of basic terms, definitions and theorems with proofs, this textbook also provides number of solved examples to illustrate the discussed theory. Problem assignments are placed at the end of each chapter, so that readers can test their understanding of the content as they progress through the book. Solutions to all the problems and the list of references are provided at the end of the publication.

This textbook is primarily intented for students majoring in Economics and Financial Mathematics at the Faculty of Science of Pavol Jozef Šafárik University in Košice, and it covers content of the course “Random Proceses 1“ thought there. It might however serve also students from other schools in similar progams or professionals interested in this topic.

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E-publication
Michal Goga-Marko S. Sabovljević-Martin Bačkor-Dajana Kecsey-Deepti Routray
A comprehensive guide that introduces you to the fascinating diversity and systematics of lower plants. These practical lessons are designed to provide hands-on training, allowing students to engage directly with the interesting study of Cryptogams by observation, analysis, and identification and experimentation. Beginning with the overall idea of cryptogam in a field trip near by the vicinity of Botanical garden then followed by the basics of microscopy in, will help to gain essential skills in understanding the components and proper usage of a microscope, a fundamental tool in botanical studies.
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E-book

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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E-book

Martin Bačkor - Silvia Mihaličová (eds.)

Proceedings of the 11th Conference of Doctoral Students in Experimental Plant Biology and the 13th Conference on Experimental Plant Biology, Košice, September 9–13, 2013

13th Conference of Experimental Plant Biology (Sections)

1. Cell Biology and Cytology: Michal Martinka
2. Developmental Biology and Morphogenesis: Alexander Lux
3. “Omics” – Genomics, Transcriptomics, and Proteomics: Boris Vyskot
4. Hormonal Regulation of Plant Growth and Development: Jana Albrechtová
5. Photosynthesis, Assimilate Production, and Transport: Jiří Šantrůček
6. GMOs and Plant Biotechnology: Eva Čellárová
7. Biophysical Signals and Optical Properties of Plants: Jan Nauš Stress
8. Physiology: Ľudmila Slováková
9. Plant Interactions with Organisms: Martin Bačkor
10. Water and Mineral Nutrition of Plants: Miroslav Repčák
11. Productive Biology of Plants and Agriculture: Václav Hejnák
12. Ecological Plant Biology and Global Climate Change: Michal Marek

11th Days of Doctoral Students in Experimental Plant Biology (Sections)

1. Molecular & Cell Genetics: Viktor Žárský
2. Developmental Biology: Alexander Lux
3. Biochemistry & Physiology: Jiří Šantrůček
4. Systematics & Evolution: Jana Albrechtová
5. Ecophysiology: Jana Albrechtová

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E-book

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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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

Andrej Mock

The structure of the animal body is extremely varied. Each species has its distinctive morphological features, which bears as a testimony to long-term development and belonging to the developmental lineage. At the same time, the body has been tested for a long time by natural conditions, resulting in unique adaptations to the environment and life strategy. Despite this admirable variety - which includes both recent and fossil animals and which we have far from mapped – a comparison of body parts brings knowledge we can generalize: the main building principles, and boundaries within which phenotypic diversity is realized.

Comparative animal morphology today uses the latest methodological material and knowledge from other disciplines, from genetics, molecular biology and experimental embryology, through progressive imaging methods (e.g. electron microscopy, computer micro-tomography) and the possibilities of subsequent software processing of image material (measurement, staining, etc.) to the view of physics, chemistry, statics and geometry on the structures (to nanostructures) of the living body. Detailed knowledge of historical and contemporary conditions on Earth is an important interpretative context in the study of animal morphology. Surprisingly, the knowledge accumulated after centuries of research is now rapidly supplemented by new knowledge, and often the traditional knowledge is subsequently reinterpreted. Finally, and no less important, in studying animal (and human) morphology, we learn surprising knowledge about ourselves.

The author of the presented textbook had the ambition in a simplified form to introduce the reader, especially the student of biological studies, into a dynamic and fascinating scientific discipline, as the current comparative animal morphology is.

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E-book

Zuzana Kudličková(ed.)

Proceedings of Abstracts from the Scientific Conference with International Participation Organized on the Occasion of the 50th Anniversary of the Establishment of the Department of Organic Chemistry, Faculty of Science, Pavol Jozef Šafárik University in Košice, held on June 8–10, 2016 in Košice.

The Department of Organic Chemistry was established on February 1, 1966. From its inception, the department’s development prospects have been linked to high-quality scientific research focused on the synthesis of isothiocyanates and the products of their nucleophilic additions. In addition, studies were conducted on the use of cycloaddition, cyclocondensation, and photocyclization reactions of heterocumulenes in the synthesis of heterocycles.

Currently, research at the Department of Organic Chemistry is concentrated on stereoselective syntheses of iminosugars and γ-lactam-β-lactone antibiotics, total synthesis of natural compounds and their analogues possessing a sphingoid structure, research into the synthesis of indole alkaloids from the phytoalexin group, and the synthesis of acetylcholinesterase inhibitors based on acridine and coumarin derivatives.

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E-book

Adriana Zeleňáková - Zuzana Ješková - Adela Kravčáková  et al. (eds.)

The proceedings contain abstracts of contributions from participants of the 10th Czech-Slovak Student Scientific Conference in Physics, which took place on May 2–3, 2019, at the Faculty of Science, Pavol Jozef Šafárik University in Košice.

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E-book

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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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-book

Zuzana Jurašeková

Úvod k praktikám k experimentálnym metódam biofyziky

The university textbook titled Laboratory Techniques and Calculations is designed for the first-year students of the bachelor's degree in Biophysics at the Institute of Physics, Faculty of Sciences, P. J. Šafárik University in Košice. The objective is to equip students with fundamental knowledge and practical skills for the work in a chemical laboratory. It is essential for addressing different biophysical issues and experiments that students will have to solve later. The textbook comprises three principal sections: a theoretical part focused on the calculations, a section dedicated to laboratory work, and the last part offers a brief introduction to spectroscopy. The theoretical part summarizes the basic definitions and equations related to the characterization and preparation of solutions and mixtures. The second, most comprehensive part provides guidance and suggestions for safe and efficient practices in a chemical laboratory. The primary focus is on the manipulation of chemical substances and the use of specific small laboratory instruments and equipment. The fundamental laboratory procedure guides for the selected laboratory works are also provided. As part of a short introduction to spectroscopy, students can become familiar with fundamental spectroscopic concepts and principles. UV-VIS absorption spectrophotometry receives special attention, along with a brief introduction to fluorescence. The textbook is supplemented by various practical and theoretical tasks, as well as numerous web links to further explanatory texts and videos.

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E-book

Erik Sedlák - Rastislav Varhač -  Patrik Danko - Helena Paulíková - Dušan Podhradský

The presented scripts were created in an effort to update and especially clarify the tasks that are solved in the basic practical exercises in biochemistry students of the 2nd and 3rd year of the bachelor's degree in chemistry, biology and their combinations with other disciplines. Most of the tasks come from the original scripts "Podhradský, Mihalovová: Praktické cvičenia z biochémie, Košice 1989".

Some of them have been modified to a greater or lesser extent and adapted to current conditions in the laboratory. New tasks were also added, such as those dedicated to nucleic acids. The scripts are thematically divided into six separate units, each of which consists of several tasks. The names of the units correspond to the nature of the biomacromolecules, which form their central theme. Theoretical introductions at the beginning of the unit are newly constructed and their main goal is to provide a brief overview of the basic biochemical methods used in the study of biomacromolecules.

These scripts are intentionally only available in electronic form. The reason is the effort to continuously update and modernize individual tasks according to the changing possibilities of our laboratory. We hope that the scripts will fulfill their role and that students will have sufficient theoretical knowledge and practical skills in the field of basic biochemical methods after completing these laboratory exercises.

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E-book

Janka Vrláková - Adela Kravčáková - Stanislav Vokál

The presented "Collection of Problems in Atomic and Nuclear Physics" is intended as a basic study material for lectures in General Physics IV in the second year of the bachelor's single-subject physics program and interdisciplinary studies combined with physics at the Faculty of Science of P. J. Šafárik University in Košice.

Its aim is to support independent student work and to deepen the acquired knowledge from the given physics course by solving selected problems. It is divided into three main parts: Atomic Physics, Nuclear Physics, and Experimental Methods of Nuclear Physics.

Each thematic chapter contains an overview of basic concepts, relations, and formulas necessary for better understanding of sample problems and for solving the attached set of unsolved problems.

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Peter Fedoročko a kol. 

Vysokoškolský učebný text Prírodovedeckej fakulty UPJŠ.

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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