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Predložený učebný text sa pokúša ilustrovať možné aplikácie Teórie pravdepodobnosti na príkladoch z oblastí (vo fyzike, chémii, biológii, ekonomike, finančníctve, atď.), ktoré sú spestrené o úlohy na hľadanie optimálnej stratégie.
Text je určený predovšetkým poslucháčom Prírodovedeckej fakulty UPJŠ, budúcim učiteľom matematiky, študentom odboru matematika a informatika prípadne iným záujemcom, ktorí budú aplikovať pravdepodobnostné metódy pri riešení reálnych problémov. Obsahom pokrýva prvú časť predmetu "Pravdepodobnosť a štatistika".
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E-book
Ondrej Krídlo - Gabriel Semanišin
For computer scientists, the constant challenge is to seek efficient algorithms and various technical and implementation possibilities to improve the computational complexity of currently known algorithms. Partial solutions are offered by approaches such as grid-based methods and parallelization of computation. Quantum computers represent a significant but still unfulfilled promise. From a theoretical perspective, probabilistic and approximation approaches provide very effective solutions, and these are the methods we aim to explore in detail.
These electronic university textbooks serve as supplementary materials for the course Approximation and Probabilistic Algorithms. They were developed from the authors' materials and contributions by Prof. RNDr. Viliam Geffert, DrSc., whom the authors thank for providing the manuscript. Acknowledgments also extend to RNDr. Ján Katrenič, PhD., who prepared the first set of exercises for the course, and Žaneta Semanišinová, who reviewed large portions of the text and contributed suggestions for its improvement.
E-book
Vladimír Zeleňák (ed.)
The proceedings contain contributions from participants of the Student Scientific Conference of the Faculty of Science at UPJŠ in Košice, which took place on April 24, 2014.
E-publication
Beáta Valkayed.
Ivana Slepáková-Lenka Maliničová a kol.
The EFFUSE Teacher's Guide is a practical educational material for primary and secondary school teachers who want to develop environmental awareness with their pupils through field-based learning. It is based on the concept of the EFFUSE project (‘Environment for the future by science education’), which aims to link science, research and education with environmental protection. The manual provides teachers with methodological support for planning and implementing outdoor activities aimed at observing and documenting organisms around the Laborec River and the Uh River. It contains instructions for working with real samples, basic biomonitoring procedures and offers the opportunity to participate in the creation of a virtual laboratory that mirrors the state of the local aquatic ecosystem. Through these activities, pupils will learn to understand the links between human activity and the state of the environment, while learning the basics of how scientists work in the fields of biology and ecology. The guide also motivates teachers to become agents of positive change, inspire the younger generation to be active and engage the community in conservation. It is a challenge and an opportunity to create a space for meaningful learning in line with current trends in environmental and digital education.
E-book
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.
E-book
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.
Norbert Kopčo - Frederick Gallun - Beáta Tomoriová - Ľuboš Hládek(eds.)
Cognitive neuroscience is a fast developing scientific field which aims at uncovering the neural basis of human perception and cognition. To achieve this goal, cognitive neuroscience uses a variety of tools and approaches ranging from non-invasive brain imaging to psychophysics and neural modeling. Mastering such tools requires skills and knowledge from multiple scientific domains, including neurophysiology, cognitive psychology, and several computational fields.
Access on request via email: kogneuro (@) gmail.com
E-book
Martin Bačkor - Miriam Bačkorová
The proposed text focuses on the history of studying biology, medicine, and pharmacy as scientific disciplines from prehistoric times through antiquity, the Middle Ages, and the modern era. The text chronologically organizes the most significant figures in the history of biological scientific disciplines, outlines key characteristics of major historical discoveries, and reevaluates their significance from the perspective of 21st-century science.
The educational text is chronologically divided into the most significant periods of civilization development. The last two completed centuries—the 19th and 20th—are subdivided into major life science fields due to the unprecedented growth of biological disciplines and the resulting volume of acquired information.
Since it can sometimes be challenging in science to define what constitutes the past versus the present of a particular discipline, we have excluded significant biological discoveries from the early 21st century, which are typically regarded as the “present” of biology.
E-book
The scientific book of abstracts from the conference „Novel Trends in Chemistry, Research and Education 2023“ is a summary of the contributions of conference participants, which contain the original results of their scientific and research activities.
The contributions published in this volume can be divided according to content into the fields of analytical, inorganic, organic, physical chemistry, biochemistry, didactics of chemistry, and NMR spectroscopy.
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E-book
Soňa Király (ed.)
The book of abstracts from International Meeting on Advanced Materials, IMAM 2025, is composed of contributions from participants of this conference. The conference consisted of 16 lectures by mentioned conference participants. The conference is focused on advanced materials and its application in various research areas. All contributions are professionally processed and inspiring.
E-book
Today, scanning probe microscopes are standard tools in materials science, physics, chemistry, biology, and engineering. Thousands of these microscopes are in operation worldwide and are at least as common and popular as scanning electron microscopes.
Despite the vast number of newer scanning probe microscopy techniques, classical STM remains a significant and irreplaceable method, widely used, for example, in solid-state research. In this text, we will focus on both traditional and innovative STM techniques that are available and utilized in the laboratories of the Center for Low Temperature Physics in Košice.
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E-book
The present textbook deals with exactly solved models and their diverse applications in several branches of physics such as mathematical physics, statistical physics, condensed matter physics and so on. Exactly soluble models are currently considered as an inspiring research field in its own right, which regrettably requires a considerable knowledge of sophisticated mathematics. Accordingly, my primary ambition was to provide an intro- ductory course for undergraduate students that would cover the simplest exactly solved models, whose rigorous solutions are available even after modest calculation. The present textbook should be therefore regarded as an auxiliary graduate-level textbook, which should serve as the student’s guide on this beautiful but surely intricate subject.
E-book
The discovery of radioactivity at the turn of the 19th and 20th centuries stimulated the rapid development of nuclear sciences. At the interface between nuclear physics and chemistry, disciplines such as radiochemistry, radiation chemistry and nuclear chemistry were formed.
The aim of the Nuclear Chemistry course which is taught at the PF UPJŠ is to provide basic knowledge, with an emphasis on the general value of the subject. It is important to make available the basics of various methods, techniques and their specifics in the application of nuclear phenomena in chemistry and related fields. Emphasis is also placed on the use of correct terminology, knowledge of the context of relationships and basic principles, supplemented by illustrative concrete cases.
The choice of material is rather difficult, but we count on additional monographs and textbooks to fill in the gaps of these teaching texts.
Ján Kleban a kolektív
Predkladaný pracovný zošit na praktické cvičenia z cytológie je určený poslucháčom 1. ročníka bakalárskeho štúdia biológie a 1. ročníka bakalárskeho medziodborového štúdia v kombinácii s biológiou na Prírodovedeckej fakulte Univerzity Pavla Jozefa Šafárika v Košiciach. Slúži ako návod, ktorý má študentom uľahčiť prácu a umožniť rýchlejšiu orientáciu v zadanej úlohe. Úprava pracovného zošita do formy protokolov umožňuje študentom zakresliť vlastné pozorovanie a tým stimuluje študentov k presnejšiemu a trvalejšiemu zapamätaniu si precvičovanej úlohy a zároveň umožňuje spätnú kontrolu pedagógom. Počas cvičení sa študenti postupne oboznámia so základnými pojmami optiky, s aplikáciami využívajúcimi mikroskopickú techniku, ale aj so základnými rozdielmi medzi štruktúrou rastlinnej a živočíšnej bunky a ich organelami.
E-book
The university textbook entitled: Host-guest and supramolecular chemistry provides basic information about this scientific field as well as the types of compounds that belong to it. It provides basic characteristics of non-bonded interactions as well as methods of characterization and classification for these compounds. It summarizes knowledge about various types of host-guest systems from the oldest such as Hofmann clathrates to inclusive compounds such as cyclodextrins and calixarenes. In addition to structural and synthetic information, which is supplemented with images, the textbook also addresses the possibilities of application or practical use of compounds. The conclusion of each chapter is supplemented with tasks for elaboration on a given topic.
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.
E-book
Jana Špaková Raschmanová - Zuzana Kudličková - Kvetoslava Stanková
Organic chemistry plays a key role in our lives, from the pharmaceutical industry to the production of plastics and food additives. Additionally, it is essential in biochemistry, as it deals with the basic building blocks of living organisms, such as carbohydrates, lipids, proteins, and nucleic acids. One of the best ways to teach organic chemistry and increase students' interest in the subject is through conducting school experiments. This study material presents a collection of visually striking practical experiments in organic chemistry that will help students better understand the chemical processes and techniques used in the field. This electronic study material is supplemented with visual material, allowing students to verify the results of experiments and better understand the individual procedures. At the end of each section, there are questions to help assess the acquired knowledge and encourage deeper understanding of the experiments conducted.
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