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ECTS courses

Environmental Courses
Earth Science Courses
Courses on Mathematics and Statistics
Courses on Chemistry
Courses on Computer Sciences
Courses on Physics
Educational Courses


Environmental Courses

Freshwater Ecology

Given that most of the Earth is covered in water, understanding aquatic ecosystems is of vital importance, especially since water is critical to the survival of all life on Earth. Freshwater ecology is a branch of ecology which is concerned with the study of aquatic ecosystems, most specifically of rivers, lakes, streams, seasonal bodies of water, underground water deposits, and the surrounding areas. Within the present course we will define different types of water bodies, natural populations of organisms in the water, learning about natural variations and the impact of environmental factors, such as temperature, salinity, pH, water depth, location, and season. We will focus on aquatic organisms of economic importance and usage of organisms as bioindicators as well as on the functioning of aquatic ecosystems as wholes.

(Depending on an agreement with the students, the contents of the course can slightly vary.)

Language: English
Number of Credits: 4
Semester: Summer
Lecturers: prof. RNDr. Peter Bitušík, CSc., doc. Ing. Ladislav Hamerlík, PhD.

Nature Conservation

Definitions, terminology and history of nature conservation (Slovakia and world). Conservation biology and basic principles. Biodiversity and threats. Red lists. Species conservation - plants, animals, minerals, fossils and trees. Protected areas - categories, levels of protection (IUCN and Slovakia). Organizational aspects of nature conservation. Management of protected areas. EU legislation (Nature 2000 – birds directive and habitats directive). International conventions.

(Depending on an agreement with the students, the contents of the course can slightly vary.)

Language: English
Number of Credits: 4
Semester: Summer
Lecturers: Ing. Juraj Švajda, PhD.

Microbiology

The lessons from Microbiology include molecular biology of microbes, the organization of microbial genomes, regulation of microbial gene expression, the molecular responses of microbes to changes in their environment, the origin and evolution of microbes, microbial obligate and facultative symbiosis, endosymbiosis, microbial parasitism, other trophic relationships among microbes and between microbes and macroscopic organisms, the origin and evolution of phototropic O2-producing and CO2-consuming microbes and their role in ecosystems, basic systematic classification of microbial lineages, ecology and biochemistry of microbes living in common and extreme habitats, identification of microbes, environmental sequences, comparative microbial genomics and phylogenomics, and biotechnological and environmental applications of microbes. Some topics can be discussed more and others less in detail according to students needs and interests.

Language: English
Number of Credits: 4
Semester: Summer
Lecturer: Mgr. Matej Vesteg, PhD.

System Ecology

Widespread and accelerating change of ecosystems undermines their services provided to humans and has even disturbed Earth´s life support systems. Synergy of these deteriorations and of numerous, diverse and rapidly growing anthropogenic pressures, requires a system response. Systems ecology tries to reflect the complexity of ecosystems, their emergent properties and a high dynamics. In the course we will proceed from species interactions to the flows of energy, matter and information within and between ecological systems, focusing on the theories of non-equilibrium thermodynamics of living systems and ecological integrity. New insights on relations between structure and functions of complex ecosystems will allow to assess the impacts of anthropogenic disturbations and to search for system measures to mitigate these impacts, to increase ecosystems resilience and to preserve their services.

Language: English
Number of Credits: 4
Semester: Winter
Lecturers: Ing. Peter Sabo, CSc., doc. Ing. Peter Urban, PhD.,

Field work from botany and zoology

Practical learning about plants and animals of different taxonomic categories in natural and anthropogenous habitat. Excursions.
Language: English
Number of Credits: 4
Semester: Summer, 4 days
Lecturers: doc. RNDr. Ingrid Turisová, PhD., Ing. Peter Sabo, CSc., doc. PaedDr. Valerian Franc, CSc.

 Scientific Communication

One of the main steps of every scientific research is the communication of its final results. Seemingly not that important, however, crucial for efficient dissemination nowadays. Thus, the course will deal with the basic forms of presenting scientific findings: oral presentation, poster session and scientific publication. What are the basic rules for these types of communications and what are the most frequent problems to avoid.
(Depending on the agreement with the students, the contents of the course can slightly vary.)

Language: English
Number of Credits: 4
Semester: Winter
Lecturers: doc. Ing. Ladislav Hamerlík, PhD., Ing. Juraj Švajda, PhD.

Environmental Health

To get basic information on environmental health. To inform on effective tools of health promotion and environmental diseases prevention. To learn identify environmental health risks and prognoses future development and trend of health status of people. Subject annotation: Environmental Health and Public Health. Man and environment (influences and effects). Diseases prevention – actual state and perspectives, infectious diseases prevention, nutrition and diseases prevention – cardiovascular, respiratory and oncology diseases. Methods of population health study, Health statistics, Health Risk Assessment, Environmental compartments and their influence on health – chemical, physical and biological hazards.

Language: English
Number of Credits: 4
Semester: Winter
Lecturer: doc. Ing. Marek Drímal, PhD.

Principles of Field Research

The course is devoted to the principles of field research, methods and data collection in geology, pedology, botany and zoology. Subject annotation: Field research in geology, pedology, botany and zoology. Interlinking between abiotic and biotic environment in selected ecotops with variable ecological conditions. Comparisons of biodiversity in disturbed and well preserved natural environment in relation to abiotic factors. Management of field records and their evaluation. Determination methods of subdisciplines.

Language: English
Number of Credits: 4
Semester: Summer
Lecturers: doc. RNDr. Ingrid Turisová, PhD., doc. Ing. Ján Tomaškin, PhD., doc. Ing. Radoslava Kanianska, PhD.

Green Growth and Green Economy

The course is devoted to the concept and principles of green growth and green economy. Subject annotation: Integrated environmental assessment and state of the European environment. Sustainable development in international relations and in the EU. Green initiatives (green growth and green economy), definitions, goals, principles. Green initiatives and environmental problems (Climate change, Biodiversity, Natural resources and ecosystem services, Consumption and production, Cities). Green initiatives and economic sectors (Agriculture, Energy, Industry, Transport, Tourism). Policy tools for delivering green initiatives and monitoring green initiatives progress. Green initiatives in the EU and selected countries.

Language: English
Number of Credits: 4
Semester: Winter
Lecturer: doc. Ing. Radoslava Kanianska, PhD.

Environmental soil science

The course focus on soil as a part of environment. The course covers the 4 basic areas of: 1) Soil formation; 2) Soil classification; 3) Soil properties; 4) Soil degradation processes. Subject annotation: Soil and soil science, soil as a part of environment, soil composition and definition. Soil forming factors and conditions - Parent material, Organisms, Climate, relief, Age, Man. Weathering – physical, chemical, biological. Soil forming processes – additions/accumulations, losses, transformations, translocations. Soil horizons and soil classification - soil groups, soil types. Soil properties – physical, chemical and biological. Physical soil degradation – erosion, compaction, waterlogging and flooding, aridization and desertification. Chemical soil degradation – contamination, acidification and alkalization. Biological soil degradation – organic matter decline, soil biodiversity decline, infection of soil by pathogens, soil allelopathy, soil exhaustion. Soil management and measures against soil degradation.

Language: English
Number of credist: 4
Semester: Summer
Lecturer: doc. Ing. Radoslava Kanianska, PhD.

Toxicology

This basic course covers the principles of toxicology and health effects of chemical agents on biological systems and the environment. The course will cover basic principles governing toxic responses such as dose/response relationship, the effect of biological systems on a chemical (absorption, distribution, biotransformation and excretion) and the effects of chemicals on biological systems (reaction with target molecules, initiation of events leading to toxicities and various disease states). Properties through which chemicals may exert toxic effects will be discussed and modeled using QSAR methods. The impact of selected broadly used chemicals on various organ systems, the toxicities of certain classes of chemicals will be covered.

Language: English
Number of Credits: 4
Semester: Summer
Lecturer: RNDr. Šimon Budzák, PhD.


 Earth Science Courses

Actual Anthropogenic Threats to Soil and Regulation Measures under Conditions of Slovakia

Actual threats to soil, especially anthropogenic impact on soil functions and soil quality change and development under conditions of Slovakia will be described in this course. The most important chemical and physical threats to soil as soil contamination (inorganic and organic contaminants will be included), soil acidification, soil salinisation and sodification, decline in soil organic matter, soil compaction and soil erosion will be evaluated on the basis of quantitative and qualitative parameters and their relationships. In addition, on the examples of actual soil chemical and physical degradation processes will be explained and emphasized the specific role and position of soil in environment, especially with regard to its vulnerability. The most actual state and development of soils under conditions of Slovakia on the basis of results of national monitoring system will be described in the course.
The main principles and possible soil remediation advances will be also included. Finally, the latest results and knowledge from environmental research of soils and their chemical and physical properties in more details in Slovakia will be also used in this course.

Language: English
Number of credits: 4
Semester: Summer
Lecturer: prof. Ing. Jozef Kobza, CSc.

Political Geography of Slovakia

The objective of the course is to analyze the geopolitical position of the Slovak republic within Europe and particularly within the Middle-European area which is a region of a very specific character from the geopolitical point of view. The course provides a concise characterization of the process of forming a modern nation, a modern state and its boundaries together with its administrative organization. A special attention is focused on the characteristics of a very dynamic political, social and cultural development of a recent twenty-year period. This transformation process is taking place within a very complicated context of building up an independent state, the international integration process, a response to the challenges of the globalization process and recent difficulties of the world economy. The course thus offers a case study of Slovakia for a more complex insight into a very complicated reality of the states of the Central-Eastern Europe as it is now.

Language: English
Number of credits: 4
Semester: Summer
Lecturer: RNDr. Tibor Madleňák, PhD.

Geology of the Western Carpathians

There are three main tectonic structure of the Western Carpathians: Outer, Central and Inner (Plašienka 1999). This tectonic structures are divided by two sutures. Meliata sutures – between the Central and the Inner Western Carpathians and Pieninic lineament – Pieniny Klippen belt between Outer and Central Western Carpathians. The Western Carpathians are northernmost part of the Alpide belt which evolved during the Alpine orogeny.

Language: English
Number of Credits: 4
Semester: Summer
Lecturer: prof. RNDr. Ján Spišiak, DrSc.

Mesozoic volcanism in the Western Carpathians

Mesozoic volcanic processes are known from all main tectonic units of the Western Carpathians. There are Triassic volcanic rocks in the Tatric and Hronic units (basalts - melaphyres). Cretaceous primitive alkali volcanites (teschenites, basanites, alkali lamprophyres) were found in the Outer (Silesian unit) and Central (Tatric, Fatric and Hronic units) Western Carpathians. Third types of volcanic rocks are MORB-likes basalts in the Meliata unit associated with ultrabasites and radiolarites (ophiolite suit).

Language: English
Number of Credits: 3
Semester: Summer
Lecturer: prof. RNDr. Ján Spišiak, DrSc.

Geo-Information Technologies in the Sphere of Landscape Conservation

Geographic Information Systems (GIS) are as a result of technological and scientific advances in many disciplines. They include a range of technologies such as remote sensing, global positioning systems, digital photogrammetry. Its immediate surroundings have recorded on various media for more than 4000 years. Technology data record during this period changed significantly. It was a shift from the records on tablets of stone (eg, targeting parcels in ancient Babylon and Egypt) to the latest Geoinformation technologies to collect, evaluate and visualize data. Significant leap in modern geo-information technologies was mainly conditioned by scientific and technological developments in geodesy, topography, cartography, mathematics, computer science, design, etc. From the interaction of scientific and technical disciplines and efforts to work with the simplest spatial data are gradually was formed GIS.

Language: English
Number of credits: 4
Semester: Summer
Lecturer: RNDr. Matej Masný, PhD.

Climatology seminar

Climate is a long term characteristic of the average pattern of variation in meteorological variables like temperature, humidity, atmospheric pressure, wind, precipitation etc. in a given region. The aim of this course is to provide background knowledge of climate on theoretical and practical level. You will learn about Earth´s climatic system, climatic classifications, climate of Slovakia and a strong accent will be given also on climate change aspects, the latests findings and scenarios. Basic numerical and graphical data analyses will berformed during the practical part of the seminar.

Language: English
Number of credits: 3
Semester: Summer
Lecturer: Mgr. Lenka Balážovičová, PhD.

Geography of Tourism

Tourism is a global, national and local phenomenon, with economic, social, cultural and also environmental impacts. Geography of tourism studies spatial aspects, spatial models and spatial features of tourism. This course presents current approaches to research of tourism, its history, motivation, regions, infrastructure, activities, tourism trends, regionalization, valorization etc. All these characteristics of tourism are applied to the conditions of Slovakia and selected localities. This course contains also fieldwork.

Language: English
Number of credits: 4
Semester: Summer
Lecturer: PaedDr. Bohuslava Gregorová, PhD.

Geography Education

Students will be introduced with school education system in Slovakia focusing on teaching of geography. The course examines teaching strategies, preparation for lesson selected themes (Globe, maps, atlas, Regional geography, Earth movements, Day and night, Seasons), diagnostic and evaluation methods, IT in education (Google Earth and Marble Globe).

Language: English
Number of credits: 4
Semester: Summer
Lecturer: Mgr. Michaela Žoncová, PhD.


Courses on Mathematics and Statistics

Modern Applied Regression Analysis 1

General information: The purpose of this course is to introduce linear regression models to students. The emphasis is given to practical applications in statistical software R. Throughout the course students will analyze dozens of datasets to demonstrate the techniques they will have learnt. Students are expected to be familiar with introductory level probability and statistics and basic linear algebra.

Recommended literature: Julian Faraway: Linear Models with R, second edition, CRC press (web accompanying the book http://www.maths.bath.ac.uk/ jjf23/LMR/).

Language: English
Number of credits: 4 (+further 3 credits for Exercises in Modern Applied Regression Analysis 1)
Semester: Winter
Lecturer: Mgr. Lukáš Lafférs PhD.

Modern Applied Regression Analysis 2

General information: This course broadens the scope of the introductory course on linear regression. It's purpose is to give students an overview on many available methods for analyzing data. After generalized regression models (models for binomial data, count data, contingency tables, multinomial data), students learn about various other tools that are available - nonparametric regression, bootstrap, quantile regression and introduction to panel data analysis. Statistical software R is used throughout the course as a main tool for data analysis.

Recommended literature: Faraway, J. Extending the Linear Model with R : Generalized Linear, Mixed Effects and Nonparametric Regression Models, Chapman & Hall/CRC, 2006. Faraway, J. Linear models with R, Chapman & Hall, 2005.

Language: English
Number of credits: 3 (+further 3 credits for Exercises in Modern Applied Regression Analysis 2)
Semester: Summer
Lecturer: Mgr. Lukáš Lafférs PhD.

Algebra 1: Algebraic structures

General information: The course introduces future teachers of mathematics as well as future mathematicians at the bachelor level of their university studies to some of the basic concepts, results and examples concerning the classical algebraic structures: groups, rings, integral domains and fields. It starts with a lecture on the residue classes of integers which are often used as a fundamental example of an algebraic structure throughout this course. The subsequent eight lectures are devoted to concepts, results and examples concerning groups and culminate in the classification of all finite groups of orders 1 to 15. The next three lectures are devoted to rings, integral domains and fields, and the final lecture deals with common equivalent and non-equivalent adjustments when solving algebraic equations over integral domains in school practice.

Readings:
1. HAVIAR, M., KLENOVČAN, P.: BASIC ALGEBRA for future teachers (Revs. G. Jones, T. Zdráhal, R. Zimka), Belianum [1st ed.], Banská Bystrica, 2016, 329 pp.
2. HUNGERFORD, T.W.: Algebra, Springer-Verlag, 1974.
Language: English
Number of Credits: 3
Semester: Winter
Lecturer: doc. RNDr. Miroslav Haviar, CSc.

Algebra 2: Polynomial algebra

General information: The course introduces future teachers of mathematics as well as future mathematicians at the bachelor level of their university studies to some of the basic concepts, results and examples concerning the polynomial algebra. The first eight lectures are devoted to polynomials and polynomial functions. The subsequent three lectures deal with methods of solving certain basic types of algebraic (polynomial) equations over the school fields Q,R,C of rational, real and complex numbers, respectively and over the field Zp of residue classes of integers modulo p where p is a prime number.

Readings:
1. HAVIAR, M., KLENOVČAN, P.: BASIC ALGEBRA for future teachers (Revs. G. Jones, T. Zdráhal, R. Zimka), Belianum [1st ed.], Banská Bystrica, 2016, 329 pp.
2. HUNGERFORD, T.W.: Algebra, Springer-Verlag, 1974.
Language: English
Number of Credits: 3
Semester: Summer
Lecturer: doc. RNDr. Miroslav Haviar, CSc.

Dynamical Systems 1

General information: Three ingredients involved in the notion of a dynamical system (phase space, time, evolution rule). Examples of dynamical systems in the history of mathematics. Basic notions and examples: the notion of a dynamical system with discrete time and with continuous time, rotations of the circle, applications in number theory (Geľfand's problem of the first digits), expanding maps of the circle, endomorphisms of the torus, autonomous differential equations, transition from discrete time to continuous time (suspension) and conversely (discretization of time, Poincaré map), invariant sets. Topological dynamics: limit sets, topological conjugacy, factor, extension, recurrence, topological exactness, dense periodicity, topological transitivity and existence of dense orbits (their non-equivalence), minimality, mixing, chaos, topological entropy.

Recommended literature:

1. BARREIRA, L., VALLS, C.: Dynamical Systems. Springer 2013.
2. BRIN, M., STUCK, G.: Introduction to dynamical systems. Cambridge University Press 2002.
3. HASSELBLATT, B., KATOK, A.: A First Course in Dynamics. Cambridge University Press 2003.
4. STERNBERG, S.: Dynamical Systems, Dover 2010.

Language: English
Number of Credits: 5
Semester: Summer
Lecturer: prof. RNDr. Ľubomír Snoha. DSc. DrSc.

Dynamical Systems 2

General information: Low-dimensional dynamics: continuous maps of the circle (degree, lifts), homeomorphisms of the circle (rotation number, Poincaré classification theorem), continuous maps of the interval (Sharkovsky theorem), Poincaré-Bendixson theorem. Hausdorff metric, Hutchinson's theorem, iterated function systems, fractals. Symbolic dynamics: full shift, its periodic points and topological entropy, examples of coding (expanding circle maps, quadratic maps), horseshoes and entropy (application of coding). Subshifts, theorem on their determination by a list of forbidden words, subshifts as 0-dimensional expansive systems. Subshifts of finite type (topological Markov chains), their determination by an oriented graph or by a transition matrix, their periodic points and topological entropy, verification of their transitivity or mixing. Zeta functions. Applications in data storage.

Recommended literature:

1. BARREIRA, L., VALLS, C.: Dynamical Systems. Springer 2013.
2. BRIN, M., STUCK, G.: Introduction to dynamical systems. Cambridge University Press 2002.
3. HASSELBLATT, B., KATOK, A.: A First Course in Dynamics. Cambridge University Press 2003.
4. STERNBERG, S.: Dynamical Systems, Dover 2010.

Language: English
Number of Credits: 5
Semester: Winter
Lecturer: prof. RNDr. Ľubomír Snoha, DSc. DrSc.

Difference Equations and Applications

General information: The course introduces basic theory and methods of solving of difference equations. Applications from different areas form an essential part of the course as well. We proceed from equations of first order to equations of higher orders and besides introducing methods of finding exact solutions (when possible), we also build up a basic qualitative theory concerning solutions and their stability. The applications are focused mostly to finances and economics but various examples from completely different areas are presented as well.

Literature:
1. S. Elaydi: An Introduction to Difference Equations. 3rd Edition. Springer 2005.
2. E. Salinelli, F. Tomarelli: Discrete Dynamical Models. Springer 2014.
3. J. Sandefur: Discrete Dynamical Modeling. Oxford University Press 1993.

Language: English
Number of credits: 4
Semester: Winter
Lecturer: doc. RNDr. Roman Hric, PhD.

Functional Analysis

General information: Normed linear spaces. Banach spaces. Bounded linear operators. Hahn-Banach theorems. Dual space. Reflexive spaces. Banach-Steinhaus theorem. Uniform boundedness principle. Open mapping theorem. Closed graph theorem. Lebesgue L^p spaces. Hilbert spaces. Fréchet-Riesz theorem. Orthogonal series.

Recommended literature:

S. Kesavan: Functional Analysis, Texts and Readings in Mathematics 52, 2009.

Language: English
Number of Credits: 6
Semester: Summer
Lecturer: RNDr. Matúš Dirbák, PhD.

Mathematical Analysis 3

General information: Basics of metric spaces theory, examples of metrics, diameter, bounded sets, open and closed sets, closure. Convergence in metric spaces, functional sequences and series, pointwise and uniform convergence. Power series. Taylor series. Real functions of more variables, limits, continuity, partial and directional derivatives, integration. Implicit functions. Fubini theorem, substitution, applications.

Reading:
1. Fitzpatrick, P. M.: Advanced calculus. A course in mathematical analysis, 2nd Edition, Amer. Math. Soc., 2006.
2. Brannan, D. A.: A first course in mathematical analysis, Cambridge university Press, 2006.

Language: English
Number of Credits: 4
Semester: Summer
Lecturer: prof. RNDr. Vladimír Janiš, CSc.

Mathematical Analysis 4

General information: Real mappings in the n-dimensional real space, local approximation by an affine function, tangent plane. Hess matrix, Mapping to an m-dimensional space, linear mappings, differential. Inverse mapping, implicit mapping. Substitutions in more dimensional integrals. Line and surface integrals, Green theorem. Stokes theorem.

Reading:
1. Fitzpatrick, P. M.: Advanced calculus. A course in mathematical analysis, 2nd Edition, Amer. Math. Soc., 2006.Marsden, J. E., Tromba, A. J.: Vector Calculus, W.H. Freeman and Co., 1988.
2. Trench, W. F.: Introduction to real analysis, Free edition 1.02, December 2009 http://ramanujan.math.trinity.edu/wtrench/misc/index.shtml
3. Zorich, V. A.: Mathematical analysis I, Springer, 2004.
4. Zorich, V. A.: Mathematical analysis II, Springer, 2004.

Language: English
Number of Credits: 7
Semester: Winter
Lecturer: prof. RNDr. Vladimír Janiš, CSc.

Analysis of vague data

General information: Classical and many valued logic. Representation of vague information. Triangular norms. Negators and implicators, relations. Extension principle for arithmetic operations. Linguistic variables and modificators. Approximate reasoning. Mamdani and Tagaki-Sugeno regulators, applications. Pattern recognition.

Language: English
Number of Credits: 5
Semester: Winter
Lecturer: prof. RNDr. Vladimír Janiš, CSc.


Courses on Chemistry

Toxicology

This basic course covers the principles of toxicology and health effects of chemical agents on biological systems and the environment. The course will cover basic principles governing toxic responses such as dose/response relationship, the effect of biological systems on a chemical (absorption, distribution, biotransformation and excretion) and the effects of chemicals on biological systems (reaction with target molecules, initiation of events leading to toxicities and various disease states). Properties through which chemicals may exert toxic effects will be discussed and modeled using QSAR methods. The impact of selected broadly used chemicals on various organ systems, the toxicities of certain classes of chemicals will be covered.

Language: English
Number of Credits: 4
Semester: Summer
Lecturer: RNDr. Šimon Budzák, PhD.

Molecular Modeling

The course covers the basic concepts of molecular modeling. Major topics include force fields, density functional theory and ab initio methods. Attendees will adopt the topics discussed in the class through short step by step tutorial. Molecular modeling will be applied to problems of modern chemistry like equilibrium and transition state geometry search, vibrational, electronic spectra and thermochemistry.

Language: English
Number of Credits: 4
Semester: Summer
Lecturer: RNDr. Šimon Budzák, PhD.

Methods in Computational Chemistry

Computational chemistry is rapidly emerging as a subfield of theoretical chemistry. Expecting that basic concepts of chemical bonding are understood, the course is devoted to explanation of widely used quantum chemistry methods ranging from semiempirical approaches (AM1, PM3), through the Hartree-Fock (HF) method to density functional theory (DFT).

Language: English
Number of Credits: 4
Semester: Winter
Lecturer: doc. RNDr. Miroslav Medveď, PhD.

Numerical Methods and Programming in Chemistry

The course deals with basic numerical methods which each university student of natural sciences has to know: linear and nonlinear equations, interpolation, extrapolation, numerical integration and differentiation, solving differential equations. Practically, these methods are taught in the comfortable Microsoft Excel 2010 environment together with basic skills of programming.

Language: English
Number of Credits: 4
Semester: Summer
Lecturer: doc. RNDr. Miroslav Iliaš, PhD.


 Courses on computer sciences

Multimedia

The module includes the basic knowledge of developing multimedia applications and video editing. Different multimedia software tools and video technique equipment are introduced. Students will create their own multimedia application. A good equipped multimedia classroom and studio is available for an individual work.

Language: English
Number of Credits: 4
Semester: Summer
Lecturer: Ing. Dana Horváthová, PhD.

Operating systems

The module introduces a theoretical knowledge of principles and multitasking algorithms of operating systems. An attention is paid to the introduction, Operating System Concepts, Processes and Threads, Process Scheduling I, Process Scheduling II, Process/Thread Synchronization, Java Threads, Deadlocks Memory Management, Memory Management II: Paging and Segmentation, File Systems, Input/Output Management.

Language: English
Number of Credits: 4
Semester: Winter
Lecturer: doc. Ing. Jarmila Škrinárová, PhD.

Computer Graphics Programming

Students learn basic principles of computer graphics. The principles are implemented as simple programs written in Python programming language. No prior knowledge of this language is required.

Language: English
Number of Credits: 4
Semester: Summer
Lecturer: Mgr. Michal Vagač, PhD.

Computing Education Research

The aim of the course is to provide basic information about computing education research, conferences, journals, research groups. The module includes reading of recommended articles and class discussions. It is involved individual/team work on research activities in the area.

Language: English
Number of Credits: 4
Semester: Winter
Lecturer: Ing. Jana Jacková, PhD.

Database Systems

This module gives students an opportunity to work with various kinds of databases and database software. After the completion of the course, students will be able to use chosen relational database system and create their own database applications.

Language: English
Number of Credits: 4
Semester: Summer
Lecturer: Ing. Jana Jacková, PhD.

Fuzzy sets

In this course participants will learn some basics of the theory of Fuzzy sets and their use in Fuzzy inference systems. Lectures will be focused on the theory of fuzzy sets, specifically on definition of fuzzy sets, operations and relations defined on these sets, generation of IF-THEN rules, methods of how to design fuzzy inference systems of type Mamdani and type Sugeno. At the end of the course participants will discuss about possibilities to use fuzzy inference systems in their research areas and how to create specific fuzzy inference system.

Language: English
Number of Credits: 4
Semester: Winter
Lecturer: RNDr. Alžbeta Michalíková, PhD.

Chemical Informatics

Students learn how to search chemical information on the internet in various available databases. Likewise they get basic knowledge on how to process collected sources in text editors, spreadsheets (Word, Excel) and how to prepare presentations of their theses. The course is intended mainly for students with chemistry background at the bechelor level. The course evaluation is based on student´s activity and the final exam.

Language: English
Number of Credits: 4
Semester: Summer
Lecturer: doc. RNDr. Miroslav Iliaš, PhD.

Web technology

In this course students learn basic principles of creating web pages. At the end of the course students will be able to create a static responsive web page in HTML 5, CSS and CRM system WordPress.

Language: English
Number of Credits: 4
Semester: Summer
Lecturer: PaedDr. Patrik Voštinár, PhD.

Formal languages and automata

The lecture is intended as an introductory course on formal languages, automata, computability, and related matters. These topics form a major part of what is known as the theory of computation. The essential terms are explained, and such topics as regular languages, finite (memoryless) automata, formal grammars and their transformations, context-free languages, and pushdown automata are completely treated. Many commonly used algorithms and techniques are established and explained apart from the main line of the lecture.
Language: English
Number of Credits: 4
Semester: Winter
Lecturer: doc. Mgr. Ján Karabáš, PhD.

Theory of computation

The lecture is the consequent course on theory of computation and related topics. The key concept of Turing machine serves as the vehicle do the details of theory of computation namely to the decidability, recursive functions and functional languages, and main ideas of the theory of complexity.
Language: English
Number of Credits: 4
Semester: Winter
Lecturer: doc. Mgr. Ján Karabáš, PhD.


Courses on Physics

Mechanics

This course introduces basic concepts of mechanics. It includes description of motion of idealized massive point and rigid bodies. Dynamics and conserved quantities are discussed and special kinds of motion are worked out in detail (linear, rotational, oscillations, waves). Gravitational field as a special case of force field is elaborated. Finally, attention is devoted to mechanics of elastic bodies. This is calculus-based course and also elements of vector algebra are being used.

Language: English
Number of Credits: 4
Semester: Winter
Lecturer: doc. RNDr. Janka Raganová, PhD.

Physics Problem Solving I

The course aims to familiarize with applications of mechanics which use simple mathematics and to develop students' problem solving abilities. The topics of the course cover methodology of problem solving in physics; vectors in physics; simple types of motion; Newton's laws; work, energy and conservation laws; rotational kinematics and dynamics; projectile motions; simple harmonic motion; mechanical waves.

Language: English
Number of Credits: 4
Semester: Winter
Lecturer: Dr. Evgeni Kolomeitsev

Introduction to Measurement in Physics

Introduction to methods of performing experiments and analysing experimental data is given. Particular attention is paid to error analysis and discussion of statistical and systematic uncertainties. System of units SI is introduced. Graphical presentation of data is discussed: tables and plots; and good practices in recording an experiment in a protocol are explained. Introduction to computer-supported experiments is given.

Language: English
Number of Credits: 4
Semester: Winter
Lecturer: doc. RNDr. Janka Raganová, PhD.

Solid State Physics

The aim of the course is to provide basic theoretical knowledge about structural and physical properties of solid materials. It comprises crystal structure and symmetry, diffraction methods for determining crystalline structures, defects in crystal lattice, band theory, vibrations and thermal properties, electronic properties of metals and semiconductors, electric and transport phenomena, magnetic and optical properties.

Language: English
Number of Credits: 4
Semester: Summer
Lecturer: Mgr. Jaroslav Chovan, PhD.

Principles of physics

The course gives an overview of general concepts of modern physics. It starts with discusion of the scientific method and the origin and definitions of dimensional units. Then methods for the descritption of motion are discussed and basic transformations of coordinate systems (rotations, translations, and reflection) are introduced. Next topics are Fermat and Hamilton principles for the description of dynamical systems and Lagrange and Hamilton functions; symmetries of space-time and the conservation laws. Then we discuss the relativity of space and time, invariants and description of relativistic particles. Depending on the performance of the students further topics for discussions are: electromagnetic interactions, Maxwell equations, fields, action at the distance, Lagrangian for the electromagnetic field, gauge invariance. Basic concepts of the quantum mechanics such as measurement, observable, operators, quantum states, quantum numbers will be discussed.

Language: English
Number of Credits: 4
Semester: Summer/Winter
Lecturer: Dr. Evgeni Kolomeitsev

Elementary Particles

This course will give an introduction to high energy physics on the level of (selected chapters from) an introductory textbook for physics students. We shall discuss basic kinematic variables and relations used in high energy physics. Symmetries and conservation laws for various types if interactions shall be reviewed. Some part shall be devoted to hadronic cross sections and to the structure of hadrons. A short look at the experimental facilities used in high-energy physics shall be given.

Language: English
Number of Credits: 4
Semester: Summer
Lecturer: doc. dr. rer. nat. Boris Tomášik

School Experiments Laboratory 1

Training and development of experimental skills for future physics (science) teachers, performing/conducting of a large number of incentive/motivational physics school experiments from various fields of physics. Demonstrational experiments, hands-on experiments, exhibited interactive experiments, experiments and our daily life are reviewed. The activities are suitable for the use in teaching at the ISCED 2 level.

Language: English
Number of Credits: 4
Semester: Summer
Lecturer: doc. RNDr. Janka Raganová, PhD.

School Experiments Laboratory 2

Training and development of experimental skills for future physics (science) teachers, performing/conducting of a large number of incentive/motivational physics school experiments from various fields of physics. Demonstrational experiments, hands-on experiments, exhibited interactive experiments, experiments and our daily life are reviewed. The activities are suitable for the use in teaching at the ISCED 3 level.

Language: English
Number of Credits: 4
Semester: Winter
Lecturer: doc. RNDr. Janka Raganová, PhD.

Statistical physics and its applications

Summary of thermodynamics. Entropy. Statistical ensembles: micro-canonical, canonical, grand-canonical. Quantum statistic distributions: Fermi-Dirac and Bose-Einstein. Crystal structure. Applications of Fermi-Dirac distribution: fermion gas, Fermi energy, heat capacity of electron gas. Applications of Bose-Einstein distribution: black body radiation, Bose condensation, heat capacity of a solid. Band structure of metals and electric conductivity.

Language: English
Number of Credits: 4
Semester: Summer
Lecturer: doc. dr. rer. nat. Boris Tomášik


Educational Courses

School Experiments Laboratory 1

Training and development of experimental skills for future physics (science) teachers, performing/conducting of a large number of incentive/motivational physics school experiments from various fields of physics. Demonstrational experiments, hands-on experiments, exhibited interactive experiments, experiments and our daily life are reviewed. The activities are suitable for the use in teaching at the ISCED 2 level.

Language: English
Number of Credits: 4
Semester: Summer
Lecturer: doc. RNDr. Janka Raganová, PhD.

School Experiments Laboratory 2

Training and development of experimental skills for future physics (science) teachers, performing/conducting of a large number of incentive/motivational physics school experiments from various fields of physics. Demonstrational experiments, hands-on experiments, exhibited interactive experiments, experiments and our daily life are reviewed. The activities are suitable for the use in teaching at the ISCED 3 level.

Language: English
Number of Credits: 4
Semester: Winter
Lecturer: doc. RNDr. Janka Raganová, PhD.