Študentská vedecká konferencia PF UPJŠ 2013

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

Miroslava Martinková

This electronic material provides the basic principles of creating a systematic nomenclature of organic compounds, from the simplest hydrocarbons to the more complicated nomenclature of carbohydrates. For some groups of derivatives, alternative ways of generating system names are also mentioned, as well as the most common trivial names that are still in use in the literature and in practice, in some cases being the characteristic (dominant) ones. In the introductory section, the basic rules to be respected when writing names of organic compounds are discussed. This document is intended primarily for interdisciplinary undergraduate and graduate students as support material for the courses Organic Chemistry and Selected Chapters in Organic Chemistry and Biochemistry. In the final section of this document, solved examples are given so that the student can check how the rules for forming the names of organic compounds have been understood.

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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

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

Vlasta Demečková - Petra Hradická - Petra Adamková

The learning material for the course Practice in Immunology is based on several years of experience with teaching this subject, but mainly to provide students from the Biology Department at the Faculty of Natural Sciences, UPJŠ in Košice with sufficient theoretical background for practical exercises. It also serves as a scientific diary for detailed recording of all experimental data necessary for preparing laboratory protocols from individual exercises.

In studying biology, it is essential that students thoroughly understand not only the basics of each discipline but also acquire practical skills, including designing scientific experiments, selecting appropriate analytical/investigative techniques up to interpreting and presenting experimental data. The goal of this new publication is therefore to provide master's students with a practical study guide that supports and expands their knowledge about basic immunology principles.

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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

Jozef Strečka- Katarína Karl’ová (eds.)

Zborník obsahuje program a abstrakty workshopu s názvom: 1st Workshop on Perspective Electron Spin Systems for Future Quantum Technologies, ktorý sa bude konať 28.-29. júna 2022 v Košiciach. Workshop je organizovaný Prírodovedeckou fakultou Pavla Jozefa Šafárika v Košiciach a Ústavom experimentálnej fyziky Slovenskej akadémie vied v Košiciach s finančnou podporou Agentúry na podporu výskumu a vývoja. Ústrednými témami konferencie budú súčasné problémy kvantovej fyziky - kvantovej teórie magnetizmu spinových a elektrónových štruktúr, exotických kvantových spinových stavov, kvantového previazania, kvantových fázových prechodov, topologického kvantového počítania a kvantového spracovania informácie. Účastníci workshopu budú prezentovať originálne pôvodné výsledky svojho výskumu, ktoré môžu zásadným spôsobom ovplyvniť vývoj budúcich kvantových technológií.   

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E-book

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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E-book

Erik Čižmár

Textbook Automation of Laboratory Experiments in LabVIEW environment is devoted to the basics of graphical programming and shows the way how to communicate with measuring equipment and Arduino development boards in LabVIEW. The basic concepts of creating a virtual instrument and its interactive user environment are introduced. Three physical tasks are presented, the practical implementation of which takes place with the use appropriate instrumentation and LabVIEW. Practical tasks are dedicated to measuring the transmission characteristics of a low-pass RC filter, measuring the natural resonant frequency of a quartz tuning fork using the heterodyne pulse method, and mapping the magnetic field of a permanent magnet using Arduino.

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E-book

Róbert Tarasenko - Vladimír Tkáč

The presented university textbook is intended for all students engaged in the field of condensed matter physics who, while working on their final theses, come into contact with the experimental device known as the Physical Properties Measurement System (PPMS). The main purpose of this textbook is to facilitate, in a certain way, the students' work with the complex manuals provided with this experimental device. At the same time, through this textbook and its clear instructions, students acquire the necessary experimental skills essential in the field of condensed matter physics.

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Marcel Uhrin - Petr Benda -  Peter Kaňuch

Bats represent a unique group of mammals, characterised by different life strategies. They are the only mammals capable of active flight, which, combined with their almost exclusively nocturnal activity, has led to the evolution of specific adaptations. One of the most striking is echolocation, which enables them to orientate themselves perfectly in their surroundings in the dark. Bats are mainly native to the tropics, but have also colonised areas outside the tropics, which, has led to a complex phenological cycle with active phases and interruptions during hibernation, especially in temperate zones. In this diverse and species-rich group (almost 1,500 known species), there is a wide range of social organisation as well as feeding and roosting strategies. The textbook "Fundamentals of Chiropterology" brings the current state of knowledge about these extraordinary animals in eleven chapters and two appendices for the first time in the Slovak language.

E-book

Daniel Jancura - Erik Sedlák

The textbook "Bioenergetics" should serve as an introduction to the study of bioenergetics. This field of science is currently highly actual, as the results of the bioenergetics research in recent years clearly show that bioenergetics processes in living systems can "serve" not only to transformation of energy, but also affect the course of processes such as apoptosis, aging, origin and development of many diseases (especially neurodegenerative).

These facts clearly indicate the need for the existence of quality teaching texts that would allow students to acquire the necessary information and knowledge in this scientific discipline in an acceptable way. For the above mentioned reasons, we decided to create these textbooks, which are in the form of ten chapters, which naturally and logically follow each other. 

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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

Dušan Barabas a kol.

The presented text is the final product of work within the project "Tanuljunk egymástól!/Let’s Learn from Each Other!" The project emerged from long-standing contacts between the staff of the Centre for Regional Studies of the Hungarian Academy of Sciences and the Institute of Geography at the Faculty of Science, Pavol Jozef Šafárik University in Košice, as a natural effort to expand mutual cooperation. The first step was collaboration within Interreg II projects, involving a broad range of institutions from both academic and non-academic environments. This initial attempt was unsuccessful due to administrative errors. Consequently, a project titled HUSK/0801/1.6.1/0003 "Tanuljunk egymástól!/Let’s Learn from Each Other!" was prepared and developed in agreement with the Hungarian side. It was approved and co-financed by the European Regional Development Fund under the Hungary-Slovakia Cross-Border Cooperation Program 2007–2013.

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E-book

Juraj Černák

A significant part of inorganic chemistry is coordination chemistry, which deals with coordination compounds. Coordination compounds are numerous because they arise from the combination of central atoms, mostly metals, with ligands, and every organic compound is a potential ligand. This is confirmed by a recent report that American scientists M. Brookhart, C. Schauer, and their colleagues from universities in North Carolina and Washington described the preparation of a rhodium complex with methane as a ligand.

This textbook is based on the long-term experience of the author in teaching and testing this subject. The subject is well-covered in several textbooks of varying difficulty in English; their partial list can be found by readers in the list of used literature at the end of this textbook. On the other hand, in Slovak language, coordination chemistry issues are only marginally covered in several textbooks focused more on general inorganic chemistry but lack a comprehensive view on this topic. From this follows the goal of this proposed textbook - to cover the lack of study literature in this area for Slovak language.

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E-book

Kveta Markušová - Daniela Kladeková

Electrochemistry is the science that studies ionic systems and the processes or phenomena that occur at the interface between ionic systems and metals or semiconductors. At the current stage of development, electrochemistry can be divided into two main areas based on its focus. The first one - ionics - deals with the properties of ionic systems (solutions, melts, solid electrolytes). The second area - electrodeics - focuses on phenomena at the electrode/ionic system interface.

Both ionics and electrodeics investigate equilibrium and non-equilibrium phenomena and processes. Research into the properties of ionic systems under equilibrium conditions provides information and insights into the structure and composition of electrolyte solutions, melts, and solid electrolytes, while measurements under non-equilibrium conditions provide data on the electrical conductivity of ionic systems. In the field of electrodeics, the study of equilibria at the electrode/solution (or melt) interface is the domain of electrochemical thermodynamics. Measuring the rates of processes occurring at this phase interface and explaining the principles governing these processes fall under the scope of electrode process kinetics or electrochemical kinetics.

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