Cvičenia z biochémie mikroorganizmov

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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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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E-book

Jozef Strečka,Katarína Karľová

The 48th Conference of the Middle European Cooperation in Statistical Physics (MECO48) will be held on May 22nd-26th, 2023, in Stará Lesná, High Tatras, Slovakia. The MECO48 conference continues a long tradition of regular international meetings in the domain of statistical physics established in the early 1970s with the aim of bridging the gap between the communities of scientists from the Eastern and Western parts of Europe separated by the iron curtain.

In the modern era the MECO conferences attract attention of the community of scientists who are active in the field of statistical physics including various interdisciplinary applications to biology, medicine, geography, finance, quantum information theory, and machine learning.

The MECO48 conference is organized jointly by Faculty of Science of Pavol Jozef Šafárik University in Košice, Institute of Experimental Physics of Slovak Academy of Sciences in Košice, Institute of Physics, Slovak Academy of Sciences in Bratislava and Faculty of Humanities and Natural Sciences, University of Prešov under the financial support of Slovak Research and Development Agency (grant No. APVV-20-0150) and other sponsors.

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E-book

Terézia Kisková - Stanislav Matéffy - Františka Horváthová

The laboratory rat (Rattus norvegicus) is one of the most commonly used experimental animals. It serves as a model organism for analyzing numerous biological processes and pathological mechanisms, such as cardiovascular diseases, metabolic disorders (e.g., lipid metabolism, diabetes mellitus), neurological and neuropsychiatric conditions (e.g., stroke, epilepsy, or Alzheimer's disease), neurobehavioral research, autoimmune diseases (e.g., arthritis), cancer, and renal diseases. It offers many unique advantages for modeling human diseases, testing drugs and natural substances, and studying responses to environmental factors. The size of the laboratory rat, compared to the mouse, creates ideal conditions for physiological manipulations. Additionally, rats are used in clinical toxicology to test chemical substances (Hedrich, 2000).

Download the e-book for free (pdf)

E-book

Miroslav Repčák - Martin Bačkor - Peter Paľove-Balang - Silvia Gajdošová

The establishment of the Plant Physiology Laboratory at the Department of Botany, Faculty of Arts, Pavol Jozef Šafárik University in Košice in 1969 was associated with the name of Ing. Štefan Kocúrik, CSc. (1923–2006), who also prepared the first "Instructions for Exercises in Plant Physiology" (Košice 1972, 1976).

Since 1980, the manual by Associate Professor RNDr. Karol Erdelský, CSc., and Ing. Fridrich Frič, DrSc., titled "Practicum and Analytical Methods in Plant Physiology" (Bratislava 1980) has been used. With the increase in the number of students, it became relevant in 1991 to publish the "Instructions for Exercises in Plant Physiology" again to improve preparation and the efficient organization of practical work. Associate Professor RNDr. A. Košturiak, CSc., contributed significantly to the expansion of the introductory part of the instructions with his valuable advice, for which the authors are grateful. For the fourth edition, some tasks were updated and modernized, taking into account the possibilities of the renovated laboratory. The selection of tasks was adapted to the current scope of exercises for individual plant physiology subjects within the bachelor's and master's study programs in biology and ecology. These subjects include: Plant Physiology, Plant Metabolism, Mineral Nutrition of Plants, Plant Growth and Development, and Plant Ecology. Some tasks are also suitable for high school experiments.

The choice of topics was influenced by the research focus of our workplace on secondary metabolism, ecophysiology, and medicinal plants. The instructions generally adhere to the SI unit system, occasionally including other commonly used units.

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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-book

Milan Žukovič

This textbook is intended for master's degree students and is a follow-up to the Computational Physics I course studied at the bachelor's level. The content of the textbook Computational Physics II focuses on stochastic methods of solving physical problems, mainly on Monte Carlo (MC) simulation of many-particle systems.

The focus on this computationally intensive approach is motivated by the gradual increase in the computing capacities of ordinary computers as well as the introduction of high-performance computing clusters. This has led to significant progress in the development of new simulation techniques, thanks to which MC simulations have found application in various areas of research and application practice. Considering the main research focus of the department, this text is particularly devoted to the presentation of basic and more advanced MC simulation techniques applied to a simple Ising spin model in order to investigate its magnetic, thermodynamic and critical properties.

The next part is devoted to MC simulations of random processes. It focuses on the simplest but also the most basic random walk process and demonstrates its applications in financial analysis and the solution of a quantum system described by the time-dependent Schrödinger equation. The last part is dedicated to the basics of molecular dynamics, applied to simulating the classical movement of atoms in a given force field. By mastering the problems addressed in this course, students will obtain a potential tool for working out of their diploma theses, or a methodology useful for their further scientific and research practice in the field of investigating of complex systems.

The lectured topic is subsequently exercised in the form of preparing projects implemented in the freely distributable software Octave, which is easy on the user's programming skills and which students have the opportunity to familiarize themselves with in the previous study.

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E-book

Mária Ganajová

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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E-book

Ľubomír Šnajder - Ján Guniš

The publication lists interim results of qualitative educational research focused on the development and evaluation of programming tasks being carried out by authors since 2005 in the frame of programming competition PALMA junior.

The publication consists of three chapters: Computer science competitions in Slovakia, Tasks in computer science education, Selected problems of PALMA junior competition. The first chapter provides an overview of computer science competitions for a primary and secondary schools in Slovakia. The second chapter described the issue of learning tasks - their components, focus, formulation types, and development system of tasks. The third chapter contains the assignments and commented author solutions of selected problems represented focus of PALMA junior competition – programming, algorithms and mathematics.

For each problem is mentioned analysis of pupils’ solutions aimed to ways of thinking, typical misconceptions, sets of preparatory and extended problems. The publication is addressed to computer science teacher trainers, authors of programming competitions problems, and computer science teachers.  

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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

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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E-book

Michal Jaščur

This is a supporting text for the undergraduate students interested in quan- tum theory of magnetism. The text represents an introduction to various theoretical approaches used in this eld. It is an open material, in the sense that it will be supported by appropriate problems to be solved by student at seminars and also as a homework.

The text consists of four chapters that form closed themes of the in- troductory quantum theory of magnetism. In the rst part we explain the quantum origin of the magnetism illustrating the appearance of the ex- change interaction for the case of hydrogen molecule. The second chapter is devoted to the application of the Bogolyubov inequality to the Heisenberg model and it represents the part which is usually missing in the textbooks of magnetism. The third chapter deals with the standard spin wave-theory including the Bloch and Holstein-Primakoff a approach. Finally, we discuss the application of the Jordan-Wigner transformation to one-dimensional spin-1/2 XY model.

The primary ambition of this supportive text is to explain diverse math- ematical methods and their applications in the quantum theory of mag- netism. The text is written in the form which should be sufficient to de- velop the skills of the students up to the very high level. In fact, it is expected that students following this course will able to make their own original applications of the methods presented in this book.

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E-book

Renáta Oriňáková (ed.)

Book of abstract

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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

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-book

Pavol Sokol - Ladislav Bačo - Tomáš Bajtoš

In the university textbook, we present the theoretical foundations and technical details of the activities of a forensic investigator. We describe the identification and provision of digital tracks, file system analysis. analysis of various artifacts of the Windows operating system, analysis of the operating memory. The textbook is also supplemented by a chapter devoted to the analysis of malicious code (malware). 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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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.

Download the e-book for free (pdf)

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.

Download the e-book for free  (pdf)

E-book

Jozef Strečka,Katarína Karľová

The 48th Conference of the Middle European Cooperation in Statistical Physics (MECO48) will be held on May 22nd-26th, 2023, in Stará Lesná, High Tatras, Slovakia. The MECO48 conference continues a long tradition of regular international meetings in the domain of statistical physics established in the early 1970s with the aim of bridging the gap between the communities of scientists from the Eastern and Western parts of Europe separated by the iron curtain.

In the modern era the MECO conferences attract attention of the community of scientists who are active in the field of statistical physics including various interdisciplinary applications to biology, medicine, geography, finance, quantum information theory, and machine learning.

The MECO48 conference is organized jointly by Faculty of Science of Pavol Jozef Šafárik University in Košice, Institute of Experimental Physics of Slovak Academy of Sciences in Košice, Institute of Physics, Slovak Academy of Sciences in Bratislava and Faculty of Humanities and Natural Sciences, University of Prešov under the financial support of Slovak Research and Development Agency (grant No. APVV-20-0150) and other sponsors.

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E-book

Terézia Kisková - Stanislav Matéffy - Františka Horváthová

The laboratory rat (Rattus norvegicus) is one of the most commonly used experimental animals. It serves as a model organism for analyzing numerous biological processes and pathological mechanisms, such as cardiovascular diseases, metabolic disorders (e.g., lipid metabolism, diabetes mellitus), neurological and neuropsychiatric conditions (e.g., stroke, epilepsy, or Alzheimer's disease), neurobehavioral research, autoimmune diseases (e.g., arthritis), cancer, and renal diseases. It offers many unique advantages for modeling human diseases, testing drugs and natural substances, and studying responses to environmental factors. The size of the laboratory rat, compared to the mouse, creates ideal conditions for physiological manipulations. Additionally, rats are used in clinical toxicology to test chemical substances (Hedrich, 2000).

Download the e-book for free (pdf)

E-book

Miroslav Repčák - Martin Bačkor - Peter Paľove-Balang - Silvia Gajdošová

The establishment of the Plant Physiology Laboratory at the Department of Botany, Faculty of Arts, Pavol Jozef Šafárik University in Košice in 1969 was associated with the name of Ing. Štefan Kocúrik, CSc. (1923–2006), who also prepared the first "Instructions for Exercises in Plant Physiology" (Košice 1972, 1976).

Since 1980, the manual by Associate Professor RNDr. Karol Erdelský, CSc., and Ing. Fridrich Frič, DrSc., titled "Practicum and Analytical Methods in Plant Physiology" (Bratislava 1980) has been used. With the increase in the number of students, it became relevant in 1991 to publish the "Instructions for Exercises in Plant Physiology" again to improve preparation and the efficient organization of practical work. Associate Professor RNDr. A. Košturiak, CSc., contributed significantly to the expansion of the introductory part of the instructions with his valuable advice, for which the authors are grateful. For the fourth edition, some tasks were updated and modernized, taking into account the possibilities of the renovated laboratory. The selection of tasks was adapted to the current scope of exercises for individual plant physiology subjects within the bachelor's and master's study programs in biology and ecology. These subjects include: Plant Physiology, Plant Metabolism, Mineral Nutrition of Plants, Plant Growth and Development, and Plant Ecology. Some tasks are also suitable for high school experiments.

The choice of topics was influenced by the research focus of our workplace on secondary metabolism, ecophysiology, and medicinal plants. The instructions generally adhere to the SI unit system, occasionally including other commonly used units.

Download the e-book for free (pdf)