Matematika pre nematematické odbory

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Michal Hnatič, Tomáš Lučivjanský

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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

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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

Gregor Bánó

Photonics is an application-oriented discipline at the interface of optics, opto-electronics and quantum optics. It includes classical optics extended by the description of physical phenomena and optical devices that rely on quantum (photon) nature of light.
The main objective of the Photonics course is to provide a comprehensive overview of essential optical and photonic phenomena routinely applied in experimental scientific research while working with various light sources (e.g. in the field of biophotonics). The first chapters are devoted to the description of light at different levels. The logical order of subsections in this part corresponds to the structure of the textbook: B. E. A. Saleh, M. C. Teich, Fundamentals of Photonics. The following chapters contain a description of laser operation and an overview of selected optical instruments and their applications.
The body text is complemented by practical notes on the use of theoretical knowledge during daily work in the laboratory. The course of Photonics requires a basic knowledge of mathematics, electromagnetism and optics, and thus it is recommended to students who previously passed through the courses of the Bachelor's program in Physics.

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E-book

Katarína Štrofeková

Cell Biophysics II is the one semester comprehensive course textbook for PhD students. It encompasses basic principles and mechanisms underlying cell physiology and biophysics with aims:

• General knowledge of the principles of cellular function, including membrane, cytoplasmic and nuclear roles in normal and abnormal conditions.
• In-depth understanding of the mechanisms underlying the cell functions at the molecular and subcellular level.
• Awareness of cell pathologies that lead to specific disease symptoms and phenotypes.
• The ability to apply learned principles to solve new problems (analysis & synthesis).

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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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Vladimír Komanický

The aim of this textbook is to acquaint students in physics, chemistry and material science on both undergraduate and graduate level, with the techniques used to prepare micro-electromechanical devices, nanoobjects and nanostructures using the so called top down methodologies. The is no requirement for this course to pass any prior courses. The introduction part of the text defines the forces that affect nanoobjects and the interactions between them. Reader can understand in detail why properties of nanomaterials and nanostructures are so different when comprared to their macroscopic counterparts. Text gives also an overview of thin film preparation technologies as precursors for the preparation of nanostructures. The main emphasis in Volume I is on conventional lithographic technologies for the preparation and shaping of nanostructures, methods for characterization of thin films, nanoparticles and nanomaterials. Unconventional lithographic methods will also be discussed in the prepared upcoming Volume II. Student will also get acquainted with the applications of nanostructures in research focused on nanophysics, nanocatalysis and nanoelectronics. The textbook is used as a study material for the course ÚFV / MPN / 14 - Methods of preparation and characterization of nanostructures. Part of the course is also a laboratory exercise in which the student gets acquainted with the techiques used for the preparation and characterization of thin films and top-down technologies used for the preparation of nanostructures.

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Natália Raschmanová - Ľubomír Kováč

The text summarizes the basic knowledge about the functioning of the soil ecosystem with a focus on soil protists and dominant groups of soil animals. Characteristics of each soil animal group include basic morphology, ecology, distribution, population dynamics and their importance in the soil ecosystem. The aim of the text is to gain a basic understanding of the diversity and interactions of soil fauna with the soil environment. It deals with the ecological classification of soil fauna on the basis of body size, presence in the soil during the life cycle, food preference and by locomotion. It highlights important morphological and ecophysiological adaptations of soil fauna to physical and chemical environmental factors. The text also gives an overview of the basic methods in the field collection of soil fauna and their extraction from soil samples under laboratory conditions. It further informs on the method of taxonomic identification and ecological evaluation of soil fauna communities. Discusses the soil fauna of different types of ecosystems. It highlights the differences in soil fauna communities that inhabit grassland and forest habitats, and agricultural soils. This teaching material is intended for students in biology degree programmes.

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Zuzana Orságová Králová (ed.)

The scientific book of abstracts is a summary of the contributions of teachers, scientists and other conference participants, which contain the original results of their scientific and research activities. Their work will be the subject of the next domestic conference "New trends in chemistry, research and education 2019". The conference is a space for dialogue between scientific academics on the one hand and professional staff and students on the other.

The contributions published in this volume can be divided according to content into the field of analytical, inorganic, physical, organic chemistry, biochemistry and didactics of chemistry. All contributions are interesting and can be used in further creative scientific and research work, in the process of education and in practical work.

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Mariana Budovská

The aim of writing the university textbook "Selected Heterocyclic Compounds" was to create a study aid for students of the Organic Chemistry program, which provides essential information in a clear format for the subject of Heterocyclic Compounds. In selecting the content of the textbook, the goal was to present basic information about the chemistry of the most significant heterocycles. Given that the summary of chemical knowledge about heterocycles is vast, it was not possible to include all heterocyclic compounds in the content.

The intention was for readers to orient themselves in the field of heterocyclic compounds. Separate chapters included in the content address the nomenclature of heterocycles, basic chemical properties of individual heterocycles, their synthesis and reactions, the occurrence of heterocycles in nature, and their practical applications (medications, dyes, pesticides, detergents, etc.).

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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.

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Karel Saksl

Solving crystal structures is the royal discipline of X-ray crystallography. Its primary task, with the exception of defects, is to describe the atomic structure of the motif that, by its repetition, fills the volume of the entire crystal or crystalline phase. This task is nowadays more or less routine for single-crystal X-ray diffraction, which can locate hundreds to thousands of non-hydrogen atoms in large unit cells. However, in real practice, we often have material available only in powder form instead of single crystals. Solving the atomic structure from its X-ray diffraction data is non-trivial, mainly because the three-dimensional diffraction space of a single crystal is reduced to one dimension by measuring a large number of randomly oriented microcrystals (crystallites). Therefore, the solution itself requires, in addition to proper measurement methodology, the selection of suitable tools, procedures, and strategies that, through optimization, will lead to the solution and refinement of the given crystalline phase. The current limit of this method is approximately 100 non-hydrogen atoms in the asymmetric part of the unit cell, which, however, is sufficient for most inorganic materials.

The goal of these educational texts is to provide students in the second and third levels of university studies with specific guidance on solving crystal structures from powder X-ray diffraction data. These scripts build upon my first monograph and require practical knowledge of its content. Similar to my previous monograph, I offer solved examples without a deep theoretical introduction, demonstrating procedures and strategies leading to the correct solution of crystalline phases using the freely available GSAS-II program. The examples are arranged from simpler to more complex, and the reader will find many useful pieces of information in the literature references as well as in the comments below the line. Part of these scripts are data intended for your individual practice of the described procedures. 

Karel Sakls

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Mária Vilková,Monika Garberová, Michal Goga

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E-book

Katarína Cechlárová

Linear programming belongs to parts of mathematics with the greatest number of real applications. This Slovak-English problem collection provides an overview of basic knowledge in the area, application problems as well as problems to acquire routine in calculations. It is complemented by questions motivating the student to look for further theoretical principles, construct conterexamples  and formulate arguments to explain the studied phenomena.

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E-book

Rastislav Varga

Posun doménových stien vo feromagnetických materiáloch sa využíva v rôznych magnetických zariadeniach na uchovávanie, spracovanie alebo prenos signálov a informácií. Ide hlavne o jadrá transformátorov, rôzne senzory, pamäťové zariadenia (napr. HDD v PC) ako aj moderné spintronické zariadenia ako sú Racetrack pamäte, elektronika na báze pohybu doménových stien a pod. Táto kniha má slúži ako učebnica pre pokročilejšie kurzy v oblasti magnetických materiálov. Je určená hlavne študentom, ktorí javia záujem o štúdium magnetických materiálov, ako aj odborníkom z rôznych oblastí, ktorí by chceli pochopiť základy doménovej štruktúry a jej zmeny. Je členená do deviatich kapitol. V prvej kapitole sa zaoberá stručnou históriou štúdia doménovej štruktúry v magnetických materiáloch. Druhá kapitola poskytuje úvod do príčin a prejavov magnetických anizotropií. Tretia a štvrtá kapitola sú venované príčinám vzniku doménovej štruktúry a doménovej steny. V piatej kapitole je rozobratá štruktúra doménovej steny, jej potenciál a kritické pole potrebné na pohyb doménovej steny. Šiesta kapitola je venovaná premagnetizačným procesom, z ktorých jeden - pohyb doménovej steny je podrobne preberaný v kapitole 7. Ôsma kapitola obsahuje teoretické riešenie pohybu doménovej steny. Posledná deviata kapitola predstavuje moderný spôsob pohybu doménovej steny, ktorý je indukovaný elektrickým prúdom. Predkladaná práca predpokladá u čitateľa aspoň základné znalosti z oblasti magnetizmu. V opačnom prípade ho autor odkazuje na základnú literatúru (napr. [2.1 -2.6]).

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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

Michal Hnatič, Tomáš Lučivjanský

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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

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.

Download the e-book for free (pdf)

E-book

Gregor Bánó

Photonics is an application-oriented discipline at the interface of optics, opto-electronics and quantum optics. It includes classical optics extended by the description of physical phenomena and optical devices that rely on quantum (photon) nature of light.
The main objective of the Photonics course is to provide a comprehensive overview of essential optical and photonic phenomena routinely applied in experimental scientific research while working with various light sources (e.g. in the field of biophotonics). The first chapters are devoted to the description of light at different levels. The logical order of subsections in this part corresponds to the structure of the textbook: B. E. A. Saleh, M. C. Teich, Fundamentals of Photonics. The following chapters contain a description of laser operation and an overview of selected optical instruments and their applications.
The body text is complemented by practical notes on the use of theoretical knowledge during daily work in the laboratory. The course of Photonics requires a basic knowledge of mathematics, electromagnetism and optics, and thus it is recommended to students who previously passed through the courses of the Bachelor's program in Physics.

Download the e-book for free (pdf)

E-book

Katarína Štrofeková

Cell Biophysics II is the one semester comprehensive course textbook for PhD students. It encompasses basic principles and mechanisms underlying cell physiology and biophysics with aims:

• General knowledge of the principles of cellular function, including membrane, cytoplasmic and nuclear roles in normal and abnormal conditions.
• In-depth understanding of the mechanisms underlying the cell functions at the molecular and subcellular level.
• Awareness of cell pathologies that lead to specific disease symptoms and phenotypes.
• The ability to apply learned principles to solve new problems (analysis & synthesis).

Download the e-book for free (pdf)