Elementárna teória čísel 2. časť

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

Mária Vilková - Zuzana Kudličková - Ján Elečko

Organic chemistry is the chemistry of carbon. Organic compounds in the form of large molecules (macromolecules), such as nucleic acids, proteins, carbohydrates, and lipids are the basic elements of living organisms. This study material is created for non-chemistry students, especially students of biology. Most of these students have little or no knowledge of organic chemistry. Therefore, we proceed from the basic principles of organic chemistry to biochemistry.

The basic principles of organic chemistry and biochemistry are briefly summarized in individual chapters, but the main content consists of tasks for practising basic knowledge. To check the correctness of solving the tasks, the correct solutions are also given. The importance of this study material lies in the fact that students will get additional study material that they will use in studying the subject Basics of Chemistry.

Download the e-book for free (pdf)

E-book

Peter Paľove-Balang

The text ‘Uptake and transport of mineral substances in plants’ in Slovak language provides a general overview of the uptake and distribution of substances in an easy-to-understand form.

The individual chapters introduce students to the properties of the soil environment, which have a significant influence on the availability of substances, as well as the transport of substances across membranes and over medium and long distances. The text contains the latest findings from the English literature, supplemented by diagrams and graphs created by the author on the basis of his own research or by compiling several sources.

The text is intended primarily for students of a master's degree in biology or ecology and assumes at least a basic knowledge of plant physiology.

Download the e-book for free (pdf)

Matúš Harminc

Učebný text je určený poslucháčom medziodborového štúdia v kombinácii s matematikou, jednoodborového štúdia matematiky ako aj rozširujúceho štúdia matematiky. Je zameraný na základné poznatky o deliteľnosti celých čísel, kongruenciách a aritmetických funkciách.

Autor

E-book

Ondrej Hutník (ed.)

Book of abstract

Uncertainty Modeling 2024 (UM 2024) is organized by Pavol Jozef ˇSaf´arik University in Koˇsice. It is a continuation of the series of colloquia held in Rzesz´ow under the name International Symposium on Fuzzy Sets (ISFS) and in Bratislava under the name Uncertainty Modeling.

Download the e-book for free (pdf)

Jana Šandrejová - Andrea Gajdošová (eds.)

The scientific book of abstracts from the conference „Novel Trends in Chemistry, Research and Education 2024“ 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 are divided according to content into the fields of analytical, inorganic, organic, physical chemistry, biochemistry and didactics of chemistry.

Download the e-book for free (pdf)

E-book

Katarína Cechlárová (ed.)

This year, the Student Scientific Conference was held on April 24, 2019, across 17 sections in disciplines such as biology and ecology, chemistry, physics, geography, mathematics, informatics, and their didactics. Bachelor’s and master’s students presented a total of 124 contributions. The most successful participants advanced to national or traditional Czech-Slovak student scientific showcases in fields like physics, chemistry, mathematics, informatics, and mathematics didactics.

In addition to faculty students, 10 high school students participated outside the competition. They were invited based on their achievements in subject-specific Olympiads or because they were already engaged with the faculty under the guidance of dedicated teachers in laboratory work as part of their preparation for future studies. The day also featured a programming competition with 23 participants, an IHRA contest involving 16 teams of high school students and 15 teams from elementary schools, and a new Puzzle section where 72 high school students from the region competed.

The abstracts from the Student Scientific Conference demonstrate that our faculty's students not only absorb theoretical knowledge delivered in lectures but also actively engage in solving partial scientific problems that align with research objectives at the institutes of PF UPJŠ. This collection serves as both a record of scientific activity at the faculty and a dignified presentation for the broader public.

Prof. RNDr. Katarína Cechlárová, DrSc.

Vice-Dean for Education

Doc. RNDr. Gabriel Semanišin, PhD.

Dean of the Faculty

Download the e-book for free  (pdf)

E-publication

Beáta Valkay ed.
Ivana Slepáková-Lenka Maliničová a kol.

The publication EFFUSE – Educational Materials for the Public was developed within the EFFUSE project and focuses on current environmental issues of river landscapes. It emphasizes the importance of water as an irreplaceable resource and the need to protect it. Special attention is given to bioindicators – organisms whose presence or absence reflects the state of the environment. Monitoring bioindicators makes it possible to detect ecosystem changes before serious damage occurs. The publication highlights that biodiversity is essential for ecosystem stability and health. As such, it serves as a valuable educational resource for the public, raising environmental awareness and encouraging active involvement in nature conservation.

Download the e-book for free (pdf)

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.

Download the e-book for free  (pdf)

E-book

Dušan Barabas - Alena Labunová

These study materials aim to provide basic information about biogeographical issues from a geographical perspective, i.e., a perspective focused primarily on the aspect of spatial differentiation of the biosphere. The basis for the division of the biosphere is its historical development, during which individual taxa and communities were formed.

The historical development of the biosphere did not occur under stable, constant conditions, but rather in ever-changing conditions caused by the position of our planet within the solar system, the position of the Earth's axis relative to the ecliptic, and also the position of the solar system within the galaxy. All changes in the Earth's position, together with the movement of continents (drift) and climate changes, created the prerequisites for the spatial expansion of the biosphere. The historical development of the biosphere, various perspectives, the hierarchical level of differentiation, and the causes of differentiation are incorporated in this study material, whose aim is to outline the basic principles of this division.

The goal is also to highlight certain differences in the understanding of terminology, as well as to point out some fundamental relationships operating within the landscape system in the broadest sense of the word. The section devoted to the ecological principles of the functioning and formation of the landscape system, according to MIČIAN and ZATKALÍK (1984), outlines the issues of understanding the terms ecosystem and geosystem. For this reason, the presented text includes chapters that attempt to explain the understanding and approach to some basic concepts.

These study materials are intended for students of single-subject, interdisciplinary, and supplementary studies as basic teaching material. By expanding the knowledge from this study material with further information, which is elaborated in more detail in the literature listed in the bibliography of this text, graduates will gain a comprehensive view of biogeographical issues.

Authors

Download the e-book for free (pdf)

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.

Download e-book for free (pdf)

Valéria Skřivánková 

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".

Autorka

E-book

Jozef Bednarčík (ed.)

Pavol Jozef Šafárik University in Košice under the auspices of Ministry of Education, Research, Development and Youth of the Slovak Republic, Ministry of Economy of the Slovak Republic and European X-Ray Free-Electron Laser Facility GmbH in Hamburg organizes School of XFEL and Synchrotron Radiation Users 2024 (SFEL 2024). The school is continuation of the Winter Schools of Synchrotron radiation held in 2011, 2013, 2014 and SFEL 2017, 2018, 2019 and 2022. The aim of the SFEL2024 school is to facilitate the growth of new Slovak research community of high expertise in high-efficiency RTG laser and synchrotron and neutron sources. The SFEL school is designed for efficient transfer of the rapidly developing know-how in these areas to young generation – researchers and university students. The next aim of the SFEL2024 is strengthening of personal connections between the local Slovak research community and forming scientific teams of XFEL users. Slovak research community thus can take advantage of the fact that Slovakia is a shareholder of European XFEL GmbH Company in Hamburg, but also makes more efficient use of other closely related scientific facilities, including ILL and ESRF in Grenoble and DESY in Hamburg.

Download the e-book for free (pdf)

Igor Hudec - Ľubomír Kováč 

The study course provides the basic knowledge on the fundamental parameters, relationships and processes in ecological sciences. Brief content: ecological factors and relations to environment (air, water, soil); influence of ecological factors upon organisms (morphological adaptations, behavioural responses); populations and communities (external and internal parameters of populations, population dynamics); ecosystems (impact assessment) and biomes (basic features and human impact); cycles (hydrologic, gaseous, sedimentation) of basic elements on Earth.  

Authors

E-book

Mária Kožurková (ed.)

Book of Abstracts

Download e-book for free (pdf)

E-book

Nataša Tomášková

Selected tasks and problems from biochemistry – metabolism follow biochemistry lectures on metabolism and individual metabolic pathways for students of the second and third year of the bachelor’s degree in the fields of chemistry, biology and their combinations with other fields. Scripts provide an opportunity to better understand the lectured subject matter of metabolism through the solution of tasks and problems as serve as a basis for one-hour exercises. The scripts are divided thematically into eleven chapters, and each chapter contains 10 tasks and 7 problems. At the beginning of the chapters there is a short description and explanation of the given metabolic pathway. However, when solving the tasks, the student must focus mainly on the curriculum that was presented on the given topic in the lecture. Subsequently, at the end of chapter, answers to problems are also presented. These scripts are intentionally accessible only in electronic form. The reason is the effort to continuously update and modernize individual tasks.

Download e-book for free (pdf)