To master the fundamentals of the common language and basic technical terms of particular fields of study; with pre-intermediate students emphasis on reading technical texts and presentations of technical articles, application of French Internet websites.
Capelle Guy, Menand Robert: Le Nouveau taxi 1, Hachette FLE Paris, France 2009, ISBN 978-2-01-155548 - 9
test
French language is taught at two levels: beginner and intermediate. Students opt for one of them depending on whether they wish to obtain the fundamentals of the language or wish to maintain and/or improve previous knowledge of French.
100/0
To master the fundamentals of the common language and basic technical terms of particular fields of study; with pre-intermediate students emphasis on reading technical texts and presentations of technical articles, application of French Internet websites.
Capelle Guy, Menand Robert: Le Nouveau taxi 1, Hachette FLE Paris, France 2009, ISBN 978-2-01-155548 - 9
test
The subject continues the program of French language (1) and provides courses of essential and intermediate French language.
100/0
To master the fundamentals of the common language and basic technical terms of particular fields of study (depending on the student's level of German proficiency )
Appropriate study material is supplied by teacher based on the participants’level of German proficiency.
test
German language is taught at three levels: beginner, intermediate and advanced. Students opt for one of them depending on whether they need to learn the fundamentals or maintain and/or improve their previous knowledge.
This course’s focus is to master the fundamentals of the common language and basic technical terms of particular fields of study (depending on the student's level of German proficiency )
100/0
To master the fundamentals of the common language and basic technical terms of particular fields of study (depending on the student's level of German proficiency )
To master the fundamentals of the common language and basic technical terms of particular fields of study (depending on the student's level of German proficiency )
Appropriate study material is supplied by teacher based on the participants’level of German proficiency
test
German language is taught at two levels: beginner and intermediate. Students opt for one of them depending on whether they wish to obtain the fundamentals of the language or wish to maintain and/or improve previous knowledge of German.
This course’s focus is to to master the fundamentals of the common language and basic technical terms of particular fields of study (depending on the student's level of German proficiency )
100/0
To master the fundamentals of the common language and basic technical terms of particular fields of study (depending on the student's level of German proficiency )
To master the fundamentals of general Russian. The language level is A1.
Learning the Cyrillic (Russian) alphabet, gaining basic language competence, building up skills and confidence in dealing with unfamiliar authentic and semi-authentic texts.
The textbook: : Точка Ру A1 (Ольга Долматова, Екатерина Новачац), рracovné karty Падежи 1 (Л.С. Безкоровайная, В.Е. Штыленко).
test
To master the fundamentals of general Russian. The language level is A1.
Learning the Cyrillic (Russian) alphabet, gaining basic language competence, building up skills and confidence in dealing with unfamiliar authentic and semi-authentic texts.
The subject provides a course in Russian language for beginners.
100/0
Basic communication in Russian, developing other Russian language skills - listening comprehension, reading and writing.
To master the fundamentals of general Russian.
Learning the Cyrillic (Russian) alphabet, gaining basic language competence, building up skills and confidence in dealing with unfamiliar authentic and semi-authentic texts.
Textbook: Точка Ру A1 (Ольга Долматова, Екатерина Новачац), рracovné karty Падежи 1 (Л.С. Безкоровайная, В.Е. Штыленко).
test
To master the fundamentals of general Russian.
Learning the Cyrillic (Russian) alphabet, gaining basic language competence, building up skills and confidence in dealing with unfamiliar authentic and semi-authentic texts.
The subject continues the program of Russian language (1) and provides a course of Russian for beginners.
100/0
Basic communication in Russian, developing other Russian language skills - listening comprehension, reading and writing.
Krížom- Krážom Slovenčina 1, additional material to further support the covered topics.
tests
Course prerequisites:
https://fmph.uniba.sk/microsites/kjp/katedra-jazykovej-pripravy/poziadavky-na-udelenie-priebezneho-hodnotenia-aj1aj2aj3-ostatne-kurzy/
The sylabus is targeted at the comprehension of the basics of the Slovak language for the absolute beginners (A1).
100/0
This course is aimed for foreign students to learn the fundamentals of the Slovak language with the focus on basic communication as well as all other language skills- listening comprehension,reading and writing.
Krížom- Krážom Slovenčina 1, additional material to further support the covered topics
tests
Course prerequisites:
https://fmph.uniba.sk/microsites/kjp/katedra-jazykovej-pripravy/poziadavky-na-udelenie-priebezneho-hodnotenia-aj1aj2aj3-ostatne-kurzy/
The sylabus is targeted at the comprehension of the basics of the Slovak language for the absolute beginners (A1) and this course is a follow up course to the Slovak language course 1.
100/0
This course is aimed for foreign students to learn the fundamentals of the Slovak language with the focus on basic communication as well as all other language skills- listening comprehension,reading and writing.
Continual improvement of all language skills focused on communication/speaking, listening comprehension and writing. The emphasis is on discourse, lexicology and morphology, word-bank broadening of communicational English as well as English for specific purposes appropriate for university students. This course is a follow up of the previously taught ESP course.
Appropriate study material is supplied based on the participants’level of English by the lecturer.(Sources- The Guardian, The Herald Morning Sun. The Nine News, The West Australian, BBC News and podcasts, CNN podcasts).
tests, oral presentations, essays
tests, presentations, essays
Course prerequisites:
https://fmph.uniba.sk/microsites/kjp/katedra-jazykovej-pripravy/poziadavky-na-udelenie-priebezneho-hodnotenia-aj1aj2aj3-ostatne-kurzy/
This course’s focus is to broaden spoken/communicational English for students with B2/C1 level of English knowledge.
100/0
Continual improvement of all language skills focused on communication/speaking, listening comprehension and writing. The emphasis is on discourse, lexicology and morphology, word-bank broadening of communicational English as well as English for specific purposes appropriate for university students. This course is a follow up of the previously taught ESP course.
tests
Continual improvement of all language skills focused on communication/speaking, listening comprehension and writing. The emphasis is on discourse, lexicology and morphology, word-bank broadening of communicational/spoken English as well as English for specific purpose appropriate for university students. This course is a follow up of the Conversational English course 1.
Appropriate study material is supplied based on the participants’level of English by the lecturer.(Sources- The Guardian, The Herald Morning Sun. The Nine News, The West Australian, BBC News and podcasts, CNN podcasts).
tests, oral presentations, essays
tests, oral presentations, essays
Course prerequisites:
https://fmph.uniba.sk/microsites/kjp/katedra-jazykovej-pripravy/poziadavky-na-udelenie-priebezneho-hodnotenia-aj1aj2aj3-ostatne-kurzy/
This course’s focus is to broaden spoken/communicational English for students with B2/C1 level of English knowledge( Upper-Intermediate/Lower Advanced).
100/0
Continual improvement of all language skills focused on communication/speaking, listening comprehension and writing. The emphasis is on discourse, lexicology and morphology, word-bank broadening of communicational/spoken English as well as English for specific purpose appropriate for university students. This course is a follow up of the Conversational English course 1.
tests
Improvement of common language, deepening the knowledge of technical terms, reading technical texts, presentations of popular scientific articles.
Capelle Guy, Menand Robert: Le Nouveau taxi 1, Hachette FLE Paris, France 2009, ISBN 978-2-01-155548 - 9
test
The subject provides a course of intermediate French language, covering not only general, but also technical language.
100/0
Improvement of common language, deepening the knowledge of technical terms, reading technical texts, presentations of popular scientific articles.
Menand Robert: Le Nouveau taxi 2, Hachette FLE, Paris, France 2009, ISBN 978-2-01-155551 - 9
test
The subject provides a course of intermediate French covering not only general, but also technical French language.
100/0
Deepening the knowledge of the common language and basic technical terms of particular fields of study (depending on the student's level of German proficiency).
Appropriate study material is supplied by teacher based on the participants’level of German proficiency.
test
The course is a follow-up to the German language (1,2). The subject provides a course of intermediate or advanced German language.
This course’s focus is to deepen the knowledge of the common language and basic technical terms of particular fields of study (depending on the student's level of German proficiency).
100/0
Master the basics of general language and basic professional terminology of individual fields of study (depending on the advanced level of students)
Deepening the knowledge of the common language and basic technical terms of particular fields of study (depending on the student's level of German proficiency).
Appropriate study material is supplied by teacher based on the participants’level of German proficiency.
test
The course is a follow-up to the German language (1-3). It provides a course of intermediate and advanced German language.
This course’s focus is to deepen the knowledge of the common language and basic technical terms of particular fields of study (depending on the student's level of German proficiency).
100/0
Master the basics of general language and basic professional terminology of individual fields of study (depending on the advanced level of students)
Learning the handwritten Russian (Russian Cursive Cyrillic), developing further language skills, gaining knowledge of Russian culture, history and way of life, pre-intermediate to intermediate grammar and vocabulary.
Точка Ру A2 (Ольга Долматова, Екатерина Новачац) a Short Stories in Russian (Olly Richards, Alex Rowlings)
test
Learning the handwritten Russian (Russian Cursive Cyrillic), developing further language skills, gaining knowledge of Russian culture, history and way of life, pre-intermediate to intermediate grammar and vocabulary.
The course "Russian for Intermediate Students" is a follow-up to "Russian for Beginners". The subject of the course is general Russian in the range appropriate to the given level.
100/0
Basic communication in Russian, developing other Russian language skills - listening comprehension, reading and writing.
Learning the handwritten Russian (Russian Cursive Cyrillic), developing further language skills, gaining knowledge of Russian culture, history and way of life, pre-intermediate to intermediate grammar and vocabulary.
Точка Ру A2 (Ольга Долматова, Екатерина Новачац) a Short Stories in Russian (Olly Richards, Alex Rowlings)
test
Learning the handwritten Russian (Russian Cursive Cyrillic), developing further language skills, gaining knowledge of Russian culture, history and way of life, pre-intermediate to intermediate grammar and vocabulary.
The course "Russian for Intermediate Students" is a follow-up to "Russian for Beginners". The subject of the course is general Russian in the range appropriate to the given level.
100/0
Learning the handwritten Russian (Russian Cursive Cyrillic), developing further language skills, gaining knowledge of Russian culture, history and way of life, pre-intermediate to intermediate grammar and vocabulary.
Krížom-Krážom Slovenčina 2, additional material to further support the covered topics.
tests
Course prerequisites:
https://fmph.uniba.sk/microsites/kjp/katedra-jazykovej-pripravy/poziadavky-na-udelenie-priebezneho-hodnotenia-aj1aj2aj3-ostatne-kurzy/
The sylabus is targeted at the comprehension of all the language skills of the Slovak language , and it is a follow up course to the Slovak language course 2.
100/0
This course is aimed for foreign students to better comprehend all the language skills important to enable correct usage of the Slovak language – listening comprehension, reading, writing and speaking.
Krížom-Krážom Slovenčina 2, additional material to further support the covered topics.
tests
Course prerequisites:
https://fmph.uniba.sk/microsites/kjp/katedra-jazykovej-pripravy/poziadavky-na-udelenie-priebezneho-hodnotenia-aj1aj2aj3-ostatne-kurzy/
The sylabus is targeted at the comprehension of all the language skills of the Slovak language , and it is a follow up course to the Slovak language course 3.
100/0
This course is aimed for foreign students to better comprehend all the language skills important to enable correct usage of the Slovak language – listening comprehension, reading, writing and speaking.
A. C. Fowler, Mathematical Models in the Applied Sciences, Cambridge University Press, 1997
A. Quarteroni, P. Gervasio, A Primer on Mathematical Modelling, Springer, 2020
Interim assessment during the semester has a weight of 40% (homeworks 30%, bonus exercises 10%). The two semester exam papers have a total weight of 60% (the first paper taken in the middle of the semester, the second paper taken at the end of the semester). The student must obtain at least half of the points from each semester exam paper. The final evaluation can be adjusted by an oral exam (theoretical questions, written preparation).
Grading: A (100-91), B (90-81), C (80-71), D (70-61), E (60-51), FX (50-0)
Slovak, English
Basic principles of modeling.
Principle of nondimensionalisation. Buckingham Pi-theorem. Dimensionless parameters.
Asymptotic expansion, convergence vs. divergence, uniformity. Matched asymptotic approximations.
Application of asymptotic methods: Van der Pol oscillator.
Heat transfer model. Degenerate diffusion.
Material derivative. Vorticity. Viscous flow.
Flow instability and transition to turbulence.
Weight of the intermediate / final evaluation: 40/60
By completing this course, the student will gain knowledge of the principles of mathematical modeling of phenomena in the natural and technical sciences.
LeBlanc, F. (2010) An Introduction to Stellar Astrophysics, Wiley
Gray, D. F. (1992) The Observation and Analysis of Stellar Photospheres, Cambridge University Press
Mihalas, D. (1978) Stellar Atmospheres, W. H. Freeman
test, individual task
Continuous Assessment (20%): home assignments 20points; min 12 points
Final Examination (80%): test 60 points, oral exam 10points, presentation 10points
Approximate scale of final grades: A 91%, B 81%, C 71%, D 61%, E 51%
Continuous Assessment / Final Examination: 20/80
slovak, english
Introduction (blackbody radiation, Stefan-Boltzmann law, specific intensity, flux, K-integral), Absorption and emission coefficient, Source function, Transfer equation (plane-parallel approximation, integral of flux, mean intensity and K-integral), Radiative equilibrium and Milne equations, Grey atmosphere (Eddington and Chandrasekhar solutions), Continuum absorption coefficient (absorption coefficients of hydrogen and helium, total absorption coefficient), Model atmosphere (hydrostatic equilibrium, temperature distribution, limb darkening, dependence on pressure and chemical composition), Line absorption coefficient (natural broadening, thermal broadening, pressure broadening, convolution, Fourier transformation, Voigt profile), Behavior of spectral lines (source function, profile), Chemical analysis and the line transfer equation, Stellar rotation, Turbulence in stellar atmospheres.
20/80
Understanding the basics of radiation transfer in stellar atmospheres.
examination
Introduction to physics of stellar structure and stellar evolution.
Prialnik, D. (2009) An Introduction to the Theory of Stellar Structure and Evolution, Cambridge University Press, 2nd edition
LeBlanc, F. (2010) An Introduction to Stellar Astrophysics, Wiley
test, individual task
Continuous Assessment (20%): home assignments 20points; min 12 points
Final Examination (80%): test 60 points, oral exam 10points, presentation 10points
Approximate scale of final grades: A 91%, B 81%, C 71%, D 61%, E 51%
Continuous Assessment / Final Examination: 20/80
slovak, english
Introduction (definition of a star, HR diagram), Sources of stellar energy, Time scales, Conservation laws, The equations of stellar evolution, Properties of matter and energy transport (equation of state, electron degeneracy pressure, radiation pressure, adiabatic index, radiative transfer), Nuclear reactions (pp chain, CNO cycle, burning of He and heavy elements, s-process, r-process), Nuclear reaction rates and Gamow peak, Equilibrium stellar configurations (equations of stellar structure, polytrope, Chandrasekhar limit, Eddington luminosity), The stability of stars (thermal instability in degenerate gas, thin shell instability, dynamic instability, convection), Stellar evolution in rho-T diagram, An evolution of the stellar core and a structure of the star, The pre-main-sequence phase in HR diagram (protocloud, Jeans instability, fragmentation, Hayashi track), Stellar evolution on the main sequence (lower and upper part of the main sequence, Schönberg–Chandrasekhar limit), Evolution away from main-sequence in HR diagram (Hertzsprung gap, red giants, helium flash, helium core burning, AGB stars), Final stages of stellar evolution (white dwarfs, supernovae, neutron stars, black holes).
20/80
Understanding the basics of the theory of stellar structure and evolution.
examination
Introduction to astrodynamics, two-body problem, basics of orbit determination.
Andrle, P.: Základy nebeské mechaniky, Praha, 1971
Danby, J. M. A.: Fundamentals of Celestial Mechanics, Richmond, 1992
Archie E. Roy: Orbital motion, Bristol : Institute of Physics Publishing, 2005
Murray, C.D., Dermott, S.F.: Solar System Dynamics, Cambridge University Press, 1999
Brouwer, D., Clemence, G.: Methods of Celestial Mechanics, London 1961
test, independent work
Continuous Assessment (20%): home assignments
Final Examination (80%): written test (15 points) and oral exam (65 points)
Approximate scale of final grades: A 91%, B 81%, C 71%, D 61%, E 51%
Slovak / English
Two-body problem. Central orbits. General integrals of motion. Conservation laws. Relationship between integral constants and orbital parameters. Kepler’s laws. Gauss’s constant, astronomical unit, masses of planets. Energy integral and limits of velocities. Elliptical, parabolic and hyperbolic motion. Solution of Kepler’s equation. Orbit in space. Types of orbits in the Solar system. Ephemeris calculation. Time series. Fundamentals of orbit determination. N-body problem. General integrals. Relative coordinates, concept of preturbations, disturbing function. Introduction to perturbations. Virial Theorem.
20/80
The course provides an introduction to astrodynamics, two-body problem, basics of orbit determination. Introduction to the n-body problem.
exam
Fundamentals of the three-body and the n-body problem. General and special perturbations, secular . Gravitational potential of an extended body.
Danby, J. M. A.: Fundamentals of Celestial Mechanics, Richmond, 1992
Murray, C.D., Dermott, S.F.: Solar System Dynamics, Cambridge Univ. Press, 1999
Brouwer, D., Clemence, G.: Methods of Celestial Mechanics, London, 1961
Archie E. Roy: Orbital motion, Bristol : Institute of Physics Publishing, 2005
Andrle, P.: Základy nebeské mechaniky, Praha, 1971
independent work
Continuous Assessment (30%): home assignments (20%), presentation (10%)
Final Examination (70%): oral exam
Approximate scale of final grades: A 91%, B 81%, C 71%, D 61%, E 51%
Slovak / English
General integrals of the n-body motion. Disturbing function. Perturbed orbits. Small impulses and the change of orbital elements. Lagrange's planetary equations, 1-st order solution. Introduction to resonances. Restricted three-body problem. Jacobi integral. Lagrangian equilibrium points, stable and unstable solution. Tisserand invariant. Gravitational spheres.
Numerical solution of n-body problem, Cowell and Encke type.
Gravitational potential of a finite body. Perturbations in satellite motion.
30/70
Fundamentals of the three-body and the n-body problem. General and special perturbations, secular motion. Motion in the field of a finite body.
exam
Bittencourt, J. A. (2004) Fundamentals of plasma physics, Springer, New York, 3rd edition, 679 pp.
Inan, U. a Golkowski M. (2011) Principles of Plasma Physics for Engineers and Scientists, Cambridge University Press, 286 pp.
Continuous Assessment (20%): home assignments 20points; min 12 points
Final Examination (80%): test 60 points, oral exam 10points, presentation 10points
Approximate scale of final grades: A 91%, B 81%, C 71%, D 61%, E 51%
slovak, english
Introduction (ionization, radiation, …), Criteria of plasma, (macroscopic neutrality, Debye shielding, plasma frequency), Plasma in the Universe (Sun, solar wind, ionosphere, magnetosphere), Plasmatic devices (tokamak, plasma propulsion, MHD generator), General properties of plasma, Motion of charged particle in uniform static magnetic field (gyration, helical motion, magnetic moment, magnetization current), Motion in uniform static electromagnetic field (plasma drift, cycloid, Hall current, gravitation field drift), Motion in nonuniform static electromagnetic field (Alfvén approximation, gradient, divergence and curvature terms, curvature and gradient drift, adiabatic invariants, magnetic mirror, tokamak), Motion in time-varying electromagnetic field (polarization drift, mobility dyad, cyclotron resonance, magnetic moment invariant, magnetic compression).
20/80
Understanding the basics of astrophysical plasma.
Bittencourt, J. A. (2004) Fundamentals of plasma physics, Springer, New York, 3rd edition, 679 pp.
Inan, U. a Golkowski M. (2011) Principles of Plasma Physics for Engineers and Scientists, Cambridge University Press, 286 pp.
Continuous Assessment (100%): home assignments 20points, presentation 10points;
Approximate scale of final grades: A 91%, B 81%, C 71%, D 61%, E 51%
Continuous Assessment / Final Examination: 100/0
slovak, english
Kinetic theory (relaxation, Boltzmann equation and its moments, Vlasov equation, macroscopic variables, macroscopic transport equations – continuity equation, equation of motion, energy transport equation), Basics of magnetohydrodynamic (MHD equations, Ohm law, Simplified MHD equations), Magnetic Reynolds number, Diffusion of magnetic field, Freezing of magnetic field lines in plasma, Waves in plasma (sound waves, magnetic pressure, Alfvén and magnetoacustic waves, phase velocity diagram), Attenuation of MHD, Alfvén, sound and magnetosonic waves, Waves in cold and hot plasma and resonances.
30/70
Understanding the basics of magnetohydrodynamic and plasma waves.
Asteroids IV, eds. P. Michel, F.E. DeMeo, W.F. Bottke Jr., The University of Arizona Press, 2015.
Comets II, eds. M.C. Festou, H.U. Keller, and H.A. Weaver, The University of Arizona Press, 2004.
Selected papers and conference Proceedings
Continuous Assessment (30%) : home assignments (10 points)/ presentation (20 points)
Final Examination (70%): oral exam
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
Part of Comet: Components and history of IPM research, spatial distribution of IPM components, orbits, observation methods; Comets and Centauri: classification, observations, discoveries, physical properties, construction and evolution of comets, processes of approach to the Sun, models, active areas, dust, photometry, changes in brightness and aging of comets, decays, non-gravitational effects, Oort cloud, Kuiper belt, missions to comets.
Part of Asteroids: Orbits, main belt and bodies on special orbits, resonances, families, orbital evolution, non-gravitational perturbation, Yarkovsky phenomenon, YORP effect, collisions, impacts, tidal decays, rotation of asteroids - spin barrier, binary asteroids, asteroid composition, asteroid research - astrometry, photometry, spectroscopy, polarimetry, radar, eclipses. NEOs, collisions with the Earth and the risk of impact, survey projects, discoveries, missions to asteroids, the latest findings.
Part Transneptunian bodies: Kuiper belt, discoveries, classification, resonant groups, scattered disk and distant bodies, physical characteristics, spectra, sizes, Pluto, missions.
30/70
The student will gain basic knowledge in the field of asteroids, comets and transneptunian bodies and an overview of current research.
Bronshten, V. A. (1983). The Physics of Meteoritic Phenomena, Reidel, Dordrecht, 880 pp. ISBN 90-277-1654-4
Ceplecha, Zdeněk et al.: Meteor Phenomena and Bodies. Space Science Reviews, v. 84, Issue 3/4, p. 327-471 (1998)
Fyzika sluneční soustavy/ M.Brož, M. Šolc. Matfyzpress, 2013
Selection of current articles in the field of meteor and meteorite research.
Continuous Assessment: written homework assignment.
Final Examination: oral exam.
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
Terms in meteor astronomy, history and methods of observations, formation of meteoroid streams, shower and sporadic activity, physics of meteoroid interaction with the atmosphere, nature of meteor emission, basics of spectroscopy and physical properties of meteoroids. Meteorites – statistics, atmospheric interaction. Light, sound and impact effects. Classification, stony, stony-iron and iron meteorites. Antarctic meteorites, Slovak meteorites. Meteorite ages. Meteoritic craters. Differentiation between meteorites and terrestrial minerals.
40/60
Students will learn the physics of the meteoroid interaction with the atmosphere, origin and formation of meteoroid streams, history and methods and analyses of meteors, nature of meteor emission and physical properties of meteoroids. They will also learn about light, sound and impact effects of meteorite falls, their statistics, classification, chemical and mineralogical composition, structural properties, and ages. After completing the course, students will be able to perform basic analysis of meteors and meteoroids, to classify different types of meteorites and distinguish them from terrestrial rocks and materials.
To acquaint students with the current research problems and learn methods of scientific work
Proceedings from the IAU symposia and conferences
Astronomical journals
individual task
Continuous Assessment (100%): presentation and discussion participation
Approximate scale of final grades: A 91%, B 81%, C 71%, D 61%, E 51%
Continuous Assessment / Final Examination: 100/0
Slovak / English
Student's own scientific work, preparation of background materials and presentation of partial results of the diploma thesis. Active participation in the discussion. Presentation of current results of research programs by the staff of the Division of Astronomy and Astrophysics and invited speakers.
100/0
Students will gain experiences with the preparation and oral presentation of their scientific work and with active participation in the discussion. Students will deepen their knowledge of the research fields covered at the seminar presentations.
To acquaint students with the current research problems and learn methods of scientific work
Proceedings from the IAU symposia and conferences
Astronomical journals
individual task
Continuous Assessment (100%): presentation and discussion participation
Approximate scale of final grades: A 91%, B 81%, C 71%, D 61%, E 51%
Continuous Assessment / Final Examination: 100/0
Slovak / English
Student's own scientific work, preparation of background materials and presentation of partial results of the diploma thesis. Active participation in the discussion. Presentation of current results of research programs by the staff of the Division of Astronomy and Astrophysics and invited speakers.
100/0
Students will gain experiences with the preparation and oral presentation of their scientific work and with active participation in the discussion. Students will deepen their knowledge of the research fields covered at the seminar presentations.
To obtain an idea about structure of the Galaxy and motion of galactic objects.
Binney J., Merrifield M.: 1998, Galactic Astronomy, Princeton University Press, Princeton
Scheffler H., Elsasser H.: 1988, Physics of the Galaxy and Interstellar Matter, Springer-Verlag, Berlin
Binney J., Tremaine S.: 2008, Galactic Dynamics, Princeton University Press, Princeton
Kulikovskij P. G.: 1985, Zvezdnaja astronomija, Nauka, Moskva
Mihalas D., Binney J.: 1981, Galactic Astronomy, W. H. Freeman and Company, San Francisco
Mihalas D., McRae Routly P.: 1968, Galactic Astronomy, W. H. Freeman and Company, San Francisco
Sparke L. S., Gallagher J. S.: 2007, Galaxies in the Universe: An Introduction. Cambridge University Press, Cambridge
individual task
Continuous Assessment (30%): home assignments 20points, presentation 10points; min 18 points
Final Examination (70%): test 60 points, oral exam 10points,
Approximate scale of final grades: A 91%, B 81%, C 71%, D 61%, E 51%
Slovak / English
spherical astronomy – galactic coordinates and proper motions in galactic coordinates; Solar motion, Local standard of rest (LSR); theory of galactic rotation; Oort’s equations and constants; rotation curve, dark matter; spiral structure of the Galaxy; galactic bar; stellar dynamics; regular and irregular forces in stellar systems; basic equation of stellar dynamics; characteristics of trajectories of stars; perturbations: epicyclic motion in the galactic plane and cyclic motion in a plane normal to the galactic plane; dark matter dynamics and generalized gravity, apparent distribution of stars, differential and integral function of brightness, luminosity function, interstellar absorption.
30/70
To gain basic knowledge of the Galactic structure and the motions of Galactic objects. Students will be able to study and understand the-state-of-the-art scientific papers and/or be able to independently recalculate the published results.
examination
Basic work at the observatory.
Asteroids II, 1989, eds. R. P. Binzel, T. Gehrels, M. S. Matthews
MaxIm DL User Guide – CCD camera manual
P. Martinez, A. Klotz: A practical Guide to CCD Astronomy, Cambridge, 1998
Chromey: To Measure the Sky, kapitola 2 Uncertainity, str. 35 - 59
Broz, Wolf: Astronomicka mereni, kapitola 2. Statistika mereni, str. 33 - 45
independent work, protocols
Continuous Assessment: home assignments, protocols
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
Preparing of an observation programs for the astronomical telescope. Astrometric and photometric processing of CCD images. Photometric light curve analysis. Basics of acquisition and processing of video meteors. Meteor observation methods. Astronomical data processing.
100/0
The student will gain basic knowledge regarding the acquisition, processing and analysis of observation material.
Selected papers and manuals on the issue.
Continuous Assessment : astronomical observation, protocols
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
Preparation and implementation of observations in the field of interplanetary matter, solar physics, stellar and galactic astronomy. Familiarization with instrumentation and its control. Acquisition of observation data, its processing, analysis, archiving and discussion of the obtained results.
100/0
Acquisition of scientific observation skills and habits, practical use of instrumentation, processing of own acquired data.
An introduction to the basic historical background of astronomy and history of thinking.
Horský, Z., Plavec, M.: Poznávání vesmíru, Orbis, Praha 1962
Grygar, J., Horský, Z., Mayer, P.: Vesmír, Praha 1983
Pereľ: Vývin predstáv o vesmíre, Osveta, Bratislava 1969
report
Continuous Assessment : home assignments (50 points), presentation (50 points)
Approximate scale of final grades: A 91%, B 81%, C 71%, D 61%, E 51%
Slovak / English
Origin of astronomy; Astronomy of ancient cultures; Astronomy of Greek philosofers: Aristarchos, Hipparchos; Almagest; Ptolemaios and the geocentric conception of the world; Astronomy in the middle ages; Copernicus and the heliocentric system; Gaileo Galilei; Kepler; Newton and development of celestial mechanics. Development of astrophysics.
100/0
written exam
To get acquainted with basic and current knowledge and methods in meteor research
Murrad E., Williams I.P.: 2002, Meteors in the Earth’s Atmosphere. Cambridge, London
Meteoroids. Sources of Meteors on Earth and Beyond. Eds. Ryabova, Asher, Campbell-Brown, 2019
individual task
Continuous Assessment : presentation (50 points), test (50 points)
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
All-sky astrometric reduction. Radians, velocities, calculation of meteoroid orbits, databases. Selection effects, sources of errors. Origin, structure and development of meteoroid streams, general characteristics, effects on meteoroids. Orbital similarity criteria and methods of distinguishing showers from sporadic background. Shower activity and mass inflow to Earth. Main meteor showers, minor showers, associations. Meteor storms. Activity modeling and predictions. Parent bodies of meteoroid strams, meteor complexes. Meteor showers of aasteroidal orgin. Sporadic population and its sources. Zodiacal cloud. Spatial structure and physical characteristics of individual components of the population. Geological periods, impact craters.
100/0
The student will gain knowledge about research methods, structure and origin of the meteoroid population.
exam
To describe current knowledge about orbital and physical properties of asteroids, or their groups, families and different types, to explain their position and significance among other Solar System bodies, their relationship to meteorites and comets, and especially their connection to the Earth, but also to show their importance in the history and foreseeable future of the Solar System.
W. F. Bottke Jr. Et al., 2002, Asteroids III
P. Michel, F.E. DeMeo, W.F. Bottke, 2015 Asteroids IV
test
Continuous Assessment : test (70 points), home assignments (10 points), consultation (20 points)
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
If only one student is enrolled the lessons are done via emails.
The location of stable orbits in the Solar System, resonances, families, cumulative distribution, unstable orbits. Meteorites, theories of Solar System origin. The methods (and techniques) of explorations – photometry, polarimetry, radiometry, spectroscopy, spectrophotometry, radar. The composition, albedo, taxonomic types, comparison with comets and meteorites. Near-Earth objects, the frequency of falls on Earth (craters, bolides). Nongravitational effects acting on small asteroids.
100/0
none
An introduction to the space planetary exploration; knowledge of the basic physical characteristics and evolutionary relations of planets and moons of the Solar system.
J. Kelly Beatty, Carolyn Collins Petersen, Andrew Chaikin eds.: The New Solar System, Sky Publ. Corp. and Cambridge Univ. Press,1999
T. Encrenaz, J.-P. Bibribg, M. Blanc: 1985 The Solar System, Springer-Verlag
J. K. Beatty, C. C. Petersen, A. Chaikin eds.: 1999, The New Solar System, Sky Publ. Corp. and Cambridge Univ. Press.
B. Bertotti, P. Farinella, D. Vokrouhlický: 2003, Physics of the Solar System, Kluwer Academic Publishers, Dordrecht.
Z. Kopal: 1984, Vesmírní sousedé naší planety, Academia, Praha.
G. Consolmagno, M. Schaefer: Worlds Apart: 1994, A Textbook in Planetary Sciences, Prentice Hall.
report
Continuous Assessment : home assignments (20 points), presentation (40 points), test (40 points)
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
The exploration of the Solar system and its origin; Mercury; Venus; The Earth; The Moon; Mars; Interiors, surfaces and atmospheres of the terrestrial planets; The interplanetary medium and planetary magnetospheres; Interiors and atmospheres of the giant planets; Io, Europa, Ganymede, Callisto, Titan; Triton, Pluto a Charon; Small and icy moons and planetary rings; Life in the Solar system and other planetary systems.
100/0
Introduction to planetary physics enabling students to gain an overview of the physical characteristics and evolutionary relationships between solar system objects
written exam
Fyzikálna chémia : Časť 2b : Štruktúra / Peter W. Atkins. Bratislava : Slovenská technická univerzita, 1999
Molecular quantum mechanics / Peter Atkins, Ronald Friedman. Oxford : Oxford University Press, 2005
Exploring Chemistry with Electronic Structure Methods / James B. Foresman, AEleen Frisch. Gaussian, Inc, 1993, 1995-96, 2015
Tennyson J., 2005, Astronomical Spectroscopy: An Introduction To The Atomic And Molecular Physics Of Astronomical Spectra, Imperial College Press, ISBN 9781860945137
Appenzeller I., 2013, Introduction to Astronomical Spectroscopy, Cambridge University Press, ISBN 9781107601796
Continuous Assessment: homework assignment.
Final Examination: oral exam.
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
Hartree-Fock theory of atom and molecule. Atomic and molecular orbitals. Energy levels of atoms and molecules. Born - Oppenheimer approximation. Rotational and vibrational states of diatomic molecules. Rotational levels of polyatomic molecules. Vibration of polyatomic molecules. Electron states and electron spectra. atoms and molecules Symmetry of transitions, selection rules. Spin-orbital coupling. Summary of quantum mechanical theory of rotational moment. Spectroscopic methods in astronomy, modeling of synthetic spectra and fitting methods. Emission, absorption and reflectance spectroscopy in stellar, galactic and interplanetary astronomy.
30/70
Gaining a basic overview of the energy states of atoms and molecules, their spectral characteristics, quantum-chemical description of rotational and vibrational motions, basic types of molecular spectroscopy, selection rules, their origin. To provide an overview of methods and applications of spectroscopic research in astronomy.
-
Mark Summerfield; Python 3
P. L. Shopbell, M. C. Britton, & R. Ebert (San Francisco: ASP), Flexible Image Transport System (FITS), 1999, NOST 100-2.0.
Library Astropy: http://docs.astropy.org/en/stable/#user-documentation.
Ongoing evaluation: individual task.
Rating scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
Work with Python libraries such as installation, basic set-up, input parameters, usage of functions, programming own scripts. Work with FITS images covering image calibration, segmentation and astrometric reduction. Calculation of object’s ephemerides, coordinates transformation, own scripts development. Usage of Python libraries Python libraries AstroPy, SciPy, NumPy, matplotlib, rebound, SourceExtractor, and sgp4.
100/0
Students will acquire basic skills for work with astronomical libraries in Python. These skills will cover areas like FITS image processing, object’s ephemeris prediction on celestial sphere, application of numerical integration in astronomy and visualization of obtained scientific data.
Comets II, eds. M.C. Festou, H.U. Keller, and H.A. Weaver, The University of Arizona Press, 2004.
Selected papers and Conference Proceedings
test
Continuous Assessment : home assignments (20 points), presentation (30 points), test (50 points)
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
Introduction – comets in the context of small bodies of the Solar System, morphology and phenomena. History of comet observation. Dynamic classification and evolution of comets from the Oort cloud to dark comets and meteor streams. Physics of comets: origin and development of cometary activity, coma and tail, volatiles and sublimation, thermal transformation of cometary nuclei. Theories of the formation of the Solar System and comets, planetary migration and the formation of cometary reservoirs. Sizes, composition, shape and albedo of cometary nuclei – comparison with small bodies of the Solar System. Methods of comet research – specifics of astrometry, photometry, polarimetry, radiometry, spectroscopy, spectrophotometry, radar. Information from space missions to comets, Rosetta-Philae. Comets and planetary defense. Interstellar comets and their sources.
100/0
The student will gain a detailed overview of the main and latest knowledge in comet research. Their position and connection with other components of MPH will be approached.
exam
An introduction to the Sun and Stars / S. Jocelyn Bell Burnell ... [et al.]. Cambridge : Cambridge University Press, 2004
Selected papers in the field
Continuous Assessment : home assignments (50 points) , presentation (50 points)
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
Current state of exoplanet research, detection methods: radial velocities, transits, microlenses, direct imaging, astrometry, transition timing, exoplanet atmosphere and interior, orbital development and dynamics, migration, Kepler orbits, habitable zone, moons of exoplanets, multiple star planets systems, free exoplanets, resonant orbits, protoplanes, dust disks, the future of exoplanet research.
100/0
The student will gain basic and latest knowledge about extrasolar planets: current state, detection methods, physical properties, evolution and future research.
COCKELL, CH. S.: Astrobiology – Understanding Life in the Universe (2nd edition), Hoboken: Wiley-Blackwell (2020).
DOMAGAL-GOLDMAN, S. D. – WRIGHT, K.E. et al.: The Astrobiology Primer v 2.0., Astrobiology, 16 (2016).
GARGAUD, M. – LÓPEZ-GARCIA, P. – HERVÉ, M.(eds.): Origins and Evolution of Life: An Astrobiological Perspective, Cambridge, UK: Cambridge University Press (2011).
ROTHERY, D. – GILMOUR, I. – SEPHTON, M.: An Introduction to Astrobiology, Cambridge, UK: Cambridge University Press (2018).
Continuous Assessment : project and presentation (50%), assignments/tests after chapters/blocks (40%), activitiy/participation during the lectures (10%).
Approximate scale of final grades: A = at least 90%, B = at least 80%, C = at least 70%, D = at least 60%, E = at least 50%, Fx = below 50%
Slovak / English
Astrobiology as a research field - introduction. Stars, planets, exoplanets. Conditions on early Earth. Comets and asteroids – sources of organic compounds. Habitable zone and terrestrial planets (HZ definition, search for life on Mars). Other life-supporting regions in the Solar system. Conditions for emergence of life on early Earth – biogenic elements and their origin in nucleosynthesis, water – mandatory but not sufficient condition for life as we know it, evidence of the first life forms, alternatives to water-carbon based life. Abiogenesis – RNA, LUCA and central dogma of molecular biology. Evolution and domains of life. Impacts and global cataclysms, major extinctions. Influence of the Moon on the stability of the biosphere. Physical and chemical limits of the biosphere - extremophiles. Biosignatures and their observation in space. Emergence of complex and intelligent life. Drake’s equation and it’s relevance for astrobiology. Fermi’s paradox. Extraterrestrial civilizations and impacts of their potential discovery.
https://fmph.uniba.sk/microsites/daa/daa/studium/predmety/astrobiologia/
100/0
The aim of this course is to provide students with up-to-date knowledge of astronomical and biological aspects of the origin of life including conditions required to harbor life on our home planet and elsewhere in the universe.
Continuous Assessment : home assignments (10 points), test (10 points)
Final Examination : oral exam
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
Basic definitions and assumptions, basic physical facts about the Sun. Internal structure of the Sun, energy production, energy transfer by radiation and convection. The solar neutrinos problem. Helioseismology. Solar atmosphere. Photospheric radiation, radiative transfer in the photosphere, Fraunhofer spectral lines, photospheric structures. Chromosphere. Transition region and corona, optically thin radiation, solar flares, coronal mass ejections. Solar activity and its cycle, solar wind, solar-terrestrial connection, space weather. Magnetic fields in the solar atmosphere, measurements of the magnetic field strength, Stokes parameters. Solar dynamics, differential rotation and its description.
20/80
Gain knowledge about the physics of the Sun and the physical processes of energy formation and transfer.
Learning principles and applications of basics astronomical instruments.
Frederick R. Chromey: To Measure the Sky. Cambridge University press 2010
Richard Berry, James Burnell: The Handbook of Astronomical Image Processing.
Willmann-Bell Inc., 2005
individual task
Continuous Assessment : home assignments
Final Examination : oral exam
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
Instruments and techniques for the optical region: basic types of telescopes, optical aberrations, telescope mountings and control systems, atmospheric observational effects, active and adaptive optics, ground and space based telescopes. Detectors for optical, near infrared and ultraviolet regions: the eye, photovoltaic cells, photomultipliers, image intensifiers, CCD, CMOS, increasing of signal to noise ratio. Instruments for spectroscopy and polarimetry. Instruments and techniques for astronomical image processing: digitization, standard astronomical graphical formats, basic algorithms and image transforms in astronomy. Instruments for radioastronomy: detectors, receivers, radiotelescopes, radars. Instruments for solar physics: solar telescopes, narrow band filters, spectroheliograph, coronograph.
20/80
After completing the course, students will have knowledge of astronomical instruments and the possibility of their application in astronomical observations.
exam
To acquaint students with the current research problems and learn methods of scientific work
Proceedings from the IAU symposia and conferences
Astronomical journals
Continuous Assessment (100%): presentation and discussion participation
Approximate scale of final grades: A 91%, B 81%, C 71%, D 61%, E 51%
Continuous Assessment / Final Examination: 100/0
Continuous Assessment (100%): presentation and discussion participation
Approximate scale of final grades: A 91%, B 81%, C 71%, D 61%, E 51%
Continuous Assessment / Final Examination: 100/0
Slovak / English
Student's own scientific work, preparation of background materials and presentation of partial results of the diploma thesis. Active participation in the discussion. Presentation of current results of research programs by the staff of the Division of Astronomy and Astrophysics and invited speakers.
100/0
Students will gain experiences with the preparation and oral presentation of their scientific work and with active participation in the discussion. Students will deepen their knowledge of the research fields covered at the seminar presentations.
To acquaint students with the current research problems and learn methods of scientific work
Proceedings from the IAU symposia and conferences
Astronomical journals
individual task
Continuous Assessment (100%): presentation and discussion participation
Approximate scale of final grades: A 91%, B 81%, C 71%, D 61%, E 51%
Continuous Assessment / Final Examination: 100/0
Slovak / English
Student's own scientific work, preparation of background materials and presentation of partial results of the diploma thesis. Active participation in the discussion. Presentation of current results of research programs by the staff of the Division of Astronomy and Astrophysics and invited speakers.
100/0
Students will gain experiences with the preparation and oral presentation of their scientific work and with active participation in the discussion. Students will deepen their knowledge of the research fields covered at the seminar presentations.
To obtain an idea about stellar statistics and galaxies in the universe.
Sparke, L. S., Gallegher, J. S. (2007) Galaxies in the Universe, Cambridge University Press
Maoz, D. (2016) Astrophysics in a nutshell, Princeton University Press, 2nd edition
Binney, J, Tremaine S. (2008) Galactic Dynamics, Princeton University Press, 2nd edition
Padmanabhan, T. (2002) Theoretical astrophysics: Volume 3: Galaxies and cosmology, Cambridge University Press
individual task
Continuous Assessment (30%): home assignments 20points, presentation 10points; min 18 points
Final Examination (70%): test 60 points, oral exam 10points,
Approximate scale of final grades: A 91%, B 81%, C 71%, D 61%, E 51%
Continuous Assessment / Final Examination: 30/70
Slovak / English
Models of the Galaxy; Galactic structures: spiral arms, galactic warp and flare, stellar streams; resonances in the Galaxy; classification of galaxies, their structure, and properties; methods of
determining galactic masses and distances; radial galactic velocities, redshift, and Hubble’s law; galactic gas; space distribution of galaxies, local group of galaxies, clusters of galaxies; basics of galactic evolution; galactic mergers and interaction with intergalactic gas; active galaxies, galactic nuclei, quasars.
30/70
To gain basic knowledge about galaxies in the Universe, their structure, kinematic and dynamic. Students will be able to study and understand the-state-of-the-art scientific papers.
examination
Practical skills in processing of observed data .
Kleczek, J.:1987, Exercises in Astronomy, Riedel Publ. Comp., Dordrecht, Holland
OSLO - Optics reference (https://lambdares.com)
Teacher's electronic texts
Chromey: To Measure the Sky, kapitola 2 Uncertainity, str. 35 - 59
Broz, Wolf: Astronomicka mereni, kapitola 2. Statistika mereni, str. 33 - 45
practical exercise, exercise reports
Continuous Assessment : practical exercise, exercise reports: the final grade is given as the average of grades for the individual reports
Slovak / English
Analysis of radio outbursts from solar flares. Design and analysis of a simple optical system using the OSLO-edu program. Lunar eclipse calculation. Asteroid rotation study based on photometric observations. Determining the observer's geographical position according to the star positions. Reduction and fitting of fireball emission spectra.
100/0
After completing this course, students will be able to independently process and analyze astronomical observations with a focus on subsequent publishing activities.
Get acquainted with recent knowledge in the field of exoplanets and brown dwarfs.
Cassen et al. 2006, Extrasolar planets
Perryman 2011, The Exoplanet Handbook
Seager 2010, Exoplanets
Selected papers from journals
individual task
Continuous Assessment : home assignments
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
Spoken language of the presentation is Slovak, however, slides and pictures are in English (to become familiar with proper English terms). If possible, one guest lecture from a foreign expert in the field in English. In case of interest, excursion to Astronomical Institute of the Slovak Academy of Sciences in Tatranska Lomnica.
Basic terms, definitions, and processes. Planet detection methods. Cosmic missions. Exoplanet properties and observations. Special and famous exoplanets. Interior (convection, degeneracy, equations of the structure). Formation and evolution, radii. Atmospheres (irradiation, stratospheres, heat redistribution, chemistry and composition, dust...). Brown dwarfs (definitions, observations, properties, spectral classification MLTY, formation, disks, interior, evolution, atmospheres).
100/0
Student will obtain basic knowledge required for further study and work in the field. Particular attention is given to understanding of the terms, methods and processes that take place in exoplanets and brown dwarfs. Course offers overview of the field with the latest highlights and discoveries.
test
Get acquainted with essential knowledge of variable stars classification and methods of their observations.
Zdeňek Mikulášek: Proměnné hvězdy – Skripta. Prírodovedecká fakulta Masarykovy univerzity v Brne, Brno 2002
individual task
Continuous Assessment : home assignments
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
Definition of variability. Physical and geometrical variable stars. Pulsating and chemically peculiar stars. T Tauri stars Solar-type variability, pulsars. Binary stars (visual, spectroscopic, eclipsing, polarimetric). Roche model of close binary stars. Proximity effects in close binaries. Rossiter McLaughlin rotational effect. Mass loss and transfer. Secular effects (apsidal motion, circularization and synchronization of the orbit) Symbiotic stars. Cataclysmic variables. Supernovae. Mass accretion and accretion disks. Evolution of binary stars. Observational techniques of the stellar astronomy (photometry, spectroscopy, polarimetry, interferometry). Introduction to the photometric and spectroscopic data reduction. Time-series analysis, period analysis and the method of (O-C) diagrams.
100/0
Get acquainted with essential knowledge of variable stars classification and methods of their observations.
oral exam
An introduction to the solar system / Philip A. Bland ... [et al.]. Cambridge : Open university, 2004
Fyzika sluneční soustavy/ M.Brož, M. Šolc. Matfyzpress, 2013
Continuous Assessment: preparation and presentation of a paper.
Final Examination: oral exam.
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
Historical models of the formation of the Solar System. Nucleogenesis of chemical elements and their cosmic abundances. Gravitational collapse and the Jeans criterion. Solar System formation, standard model, chemical condensation equilibrium theory of dust formation. Turbulence in protoplanetary disks, collisional growth of planetesimals. Protoplanetary disk structure. Massive disk model - gaseous planets, planet migration. Chronology of the formation of Solar System bodies. Other planetary systems, circumstellar dust disks, the cycle of matter in interstellar clouds.
40/60
The graduate of the course will gain theoretical knowledge of models of the origin and development of planetary systems and will have an overview in the most recent publications in the field of planetary science.
Basic in C/C++
Continuous Assessment : home assignments: the percentage for evaluation is given by the ratio of completed to total number of assignments
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
Solving astronomical problems on a computer: time measurement, coordinate systems, planetary motion, Kepler and perturbation ephemeris. Use of programming in C / C ++ and Linux OS.
100/0
Students will be able to solve simple astronomical problems on a computer, work with documentation, use existing libraries in their programs, work with Linux.
To learn basics of scientific work
Selection of up-to-date articles and recommended monographs.
Ako písať vysokoškolské a kvalifikačné práce : Ako písať seminárne práce, ročníkové práce, práce študentskej vedeckej a odbornej činnosti, diplomové práce, záverečné a atestačné práce, dizertácie / Dušan Katuščák. Bratislava : Stimul, 1998
individual task
Continuous Assessment : home assignments
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English
Methodical procedures for elaboration of the structure and time schedule of the assigned project; work with scientific literature; methods of data collection. Written processing of assigned topics according to specific thesis assignments. Clear formulation of the content and objectives of the work, investigation procedures, analysis of ambiguities, partial presentations of results on the assigned topic of the thesis. Joint interactive analysis of individual presentation performances and critical discussion. Gradual presentation of the state of development of the theses of individual students. Discussion of used methods, results and literature overview.
100/0
By completing the seminar, students will be able to categorize scientific literature and perform analysis and synthesis of knowledge gained from literature and master the methods of work on a scientific project related to the topic of his/her thesis. Students will prepare for writing a diploma thesis, learn the methodological procedures of preparing a diploma thesis, gain an overview of the current state of literature on the topic of the thesis, learn the methodology of scientific work, processing and evaluation of results.
Acquire the basics of scientific work and how to write a final thesis.
According to the recommentation of the thesis supervisor and one's own choice.
individual task
Individual student student work, consultations with the diploma thesis supervisor.
100/0
Acquire the basics of scientific work and how to write a final thesis.
LeBlanc, F. (2010) An Introduction to Stellar Astrophysics, Wiley
Gray, D. F. (1992) The Observation and Analysis of Stellar Photospheres, Cambridge University Press
Mihalas, D. (1978) Stellar Atmospheres, W. H. Freeman
Prialnik, D. (2009) An Introduction to the Theory of Stellar Structure and Evolution, Cambridge University Press, 2nd edition
Blackbody radiation, Stefan-Boltzmann law, specific intensity, flux, K-integral, Absorption and emission coefficient, Source function, Transfer equation, Radiative equilibrium and Milne equations, Grey atmosphere, Continuum absorption coefficient, Model atmosphere, Line absorption, Behavior of spectral lines, Chemical analysis and the line transfer equation, Stellar rotation, Turbulence in stellar atmospheres. Sources of stellar energy, Time scales, Conservation laws, The equations of stellar evolution, Properties of matter and energy transport, Nuclear reactions, Nuclear reaction rates and Gamow peak, Equilibrium stellar configurations, The stability of stars (thermal instability in degenerate gas, thin shell instability, dynamic instability, convection), Stellar evolution in rho-T diagram, An evolution of the stellar core and a structure of the star, The pre-main-sequence phase in HR diagram, Stellar evolution on the main sequence, Evolution away from main-sequence in HR diagram, Final stages of stellar evolution.
The students will proof the understanding of radiative transfer and the structure and evolution of stars.
Danby, J. M. A.: Fundamentals of Celestial Mechanics, Richmond, 1992
Murray, C.D., Dermott, S.F.: Solar System Dynamics, Cambridge University Press, 1999
Roy Archie E.: Orbital motion, Bristol : Institute of Physics Publishing, 2005
Brouwer, D., Clemence, G.: Methods of Celestial Mechanics, London 1961
Andrle, P.: Základy nebeské mechaniky, Praha, 1971
Two-body problem. Central orbits. General integrals of motion. Conservation laws. Relationship
between integral constants and orbital parameters. Kepler’s laws. Gauss’s constant, astronomical
unit, masses of planets. Energy integral and limits of velocities. Elliptical, parabolic and hyperbolic motion. Solution of Kepler’s equation. Orbit in space. Types of orbits in the Solar system. Ephemeris calculation. Time series. Fundamentals of orbit determination.
N-body problem. General integrals. Relative coordinates, concept of preturbations, disturbing function. Virial Theorem. General integrals of the n-body motion. Disturbing function. Perturbed orbits. Small impulses and the change of orbital elements. Lagrange's planetary equations, 1-st order solution. Introduction to resonances.
Restricted three-body problem. Jacobi integral. Lagrangian equilibrium points, stable and unstable solution. Tisserand invariant. Gravitational spheres.
Numerical solution of n-body problem, Cowell and Encke type.
Gravitational potential of a finite body. Perturbations in satellite motion.
0/100
The students will proof the understanding of two and n body problem.
Basic definitions and assumptions, basic physical facts about the Sun. Internal structure of the Sun, energy production, energy transfer by radiation and convection. The solar neutrinos problem. Helioseismology. Solar atmosphere. Photospheric radiation, radiative transfer in the photosphere, Fraunhofer spectral lines, photospheric structures. Chromosphere. Transition region and corona, optically thin radiation, solar flares, coronal mass ejections. Solar activity and its
cycle, solar wind, solar-terrestrial connection, space weather. Magnetic fields in the solar atmosphere, measurements of the magnetic field strength, Stokes parameters. Solar dynamics,
differential rotation and its description.
Students will demonstrate knowledge and ability to physically describe the interior and atmosphere of the Sun.
An introduction to galaxies and cosmology / edited by Mark H. Jones and Robert J. Lambourne. Cambridge : Cambridge University Press, 2004
Maoz, D. (2016) Astrophysics in a nutshell, Princeton University Press, 2nd edition
Binney, J, Tremaine S. (2008) Galactic Dynamics, Princeton University Press, 2nd edition
Sparke, L. S., Gallegher, J. S. (2007) Galaxies in the Universe, Cambridge University Press
Padmanabhan, T. (2002) Theoretical astrophysics: Volume 3: Galaxies and cosmology, Cambridge University Press
Galactic coordinates and proper motions in galactic coordinates; Solar motion, Local standard of rest (LSR); theory of galactic rotation; Oort’s equations and constants; rotation curve, dark matter; spiral structure of the Galaxy; galactic bar; stellar dynamics; regular and irregular forces in stellar systems; basic equation of stellar dynamics; characteristics of trajectories of stars; perturbations: epicyclic motion in the galactic plane and cyclic motion in a plane normal to the galactic plane; dark matter dynamics and generalized gravity, apparent distribution of stars, differential and integral function of brightness, luminosity function, interstellar absorption. Models of the Galaxy; Galactic structures: spiral arms, galactic warp and flare, stellar streams; resonances in the Galaxy; classification of galaxies, their structure, and properties; methods of determining galactic masses and distances; radial galactic velocities, redshift, and Hubble’s law; galactic gas; space distribution of galaxies, local group of galaxies, clusters of galaxies; basics of galactic evolution; galactic mergers and interaction with intergalactic gas; active galaxies, galactic nuclei, quasars.
The students will gain and proof the overview and understanding of the-state-of-the-art knowledge in the field of galactic and extragalactic astronomy.
Numerické metody matematické analýzy / Petr Přikryl. Praha : Státní nakladatelství technické
literatury, 1988
Základy numerické matematiky / Anthony Ralston ; přeložili z anglického originálu Milan
Práger, Emil Vitásek. Praha : Academia, 1978
Theoretical Numerical Analysis, A Functional Analysis Framework / Atkinson, Kendall, Han,
Weimin, Series: Texts in Applied Mathematics, Vol. 39., 3rd ed., Springer, 2009
Preliminary evaluation: independent work
Final exam: oral / written
Indicative evaluation scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak in combination with English (some of the suggested readings are in English).
Computer arithmetic, error propagation in calculations, interactive solution of nonlinear equations, interpolation, approximation of functions. Orthogonal Chebyshev and Legendre polynomials, discrete integral approximation, Newton-Cotes method, Gaussian integration. Determination of eigenvalues of selected matrices, diagonalization of matrices, compilation and solution of discrete forms of selected differential equations describing fluid dynamics, Initial value problem, nondimensional equation, solution of integral equations, issues of uniqueness, consistency, stability and thus convergence of the solution, Euler's method of solution diff. equations, Runge-Kutta methods, multistep methods, Predictor-corrector method. The topics are focused to solve problems in meteorology and climatology.
20/80
Application of numerical procedures to solve meteorological and climatological problems.
Teach elements of general relativity theory
Ch. W. Misner, K. S. Thorne, J. A. Wheeler: Gravitation, W. H. Freeman and Comp., San Francisco (1973), Princeton University Press (2017)
A first course in general relativity / Bernard F. Schutz. Cambridge : Cambridge University Press, 1985
Spacetime and geometry : An introduction to general relativity / Sean Carroll. San Francisco : Addison Wesley, 2004
problem solving
Continuous assessment: homework
Exam: exam
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
Description of gravity in general relativity (metric space-time tensor, equations of motion of matter in the gravitational field, Einstein's equations), applications of general relativity (post-Newtonian approximation, relativistic stars and black holes, gravitational waves, relativistic cosmological models)
40/60
After completing the course, students will know how the general theory of relativity is constructed and will be acquainted with its most important applications
examination
To give the students an idea about the basic concepts of the standard model in cosmology and explain to them how one determines cosmological parametres from the observational data about the anisotropies of the cosmic microwave background.
Fundamentals of cosmology / James Rich. Berlin : Springer, 2001
J. García-Bellido: Astrophysics and Cosmology, hep-ph/0004188
problem solving
Continuous assessment: homework
Exam: exam
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
- dynamics of the Universe
- physical processes in the early Universe
- anisotropies of the cosmic background radiation and the origin of galaxies
40/60
After completing the course, students will know the basic concepts and ideas of the standard model in cosmology and know how to determine the cosmological parameters from the data of observations on anisotropies of relic radiation.
examination
Basic practicing and improvement of locomotion skills in various selected sports: aerobics, basketball, volleyball, football, floorball, hockey, badminton, tennis, table tennis, swimming, body building, trampoline jumping, paddling. Development of a harmonic personality in the sense of “kalokagatia” – to cultivate the students´ mental and physical values.
Slovak, English
Practicing of the students´ game skills in collective sports: basketball, volleyball, football, floorball and hockey. Mastering of the basic technique of a particular sport discipline in other sports. In paddling, basic training on still and slightly flowing water. Development of coordination skills, improvement of articular mobility and cardiovascular system.
100/0
Grades: A 90%, B 80%, C 70%, D 60%, E 50%
The condition for the award of 1 or 2 credits is the completion of a multi-day course in its full scope, or the completion of one-day courses in the scope of 4 days. Candidates can apply to the leaders of individual courses. From the presented offer of courses, you can choose the one that suits your interests, abilities and deadlines.
Slovak
KTVŠ does not rent ski equipment.
The student can sign up for the outdoor sports courses offered by the department: skiing, snowboarding. The lessons in the courses are focused on the development of basic and special movement skills and mastering the techniques needed for the sports.
Acquisition and development of basic motor skills and abilities in selected sports: skiing and snowboarding. Mastering the correct technique of performing individual movements, which are necessary for skiing and snowboarding.
Grades: A 90%, B 80%, C 70%, D 60%, E 50%.
The condition for the award of 1 or 2 credits is the completion of a multi-day course in its full scope, or the completion of one-day courses in the scope of 4 days. Candidates can apply to the leaders of individual courses. From the presented offer of courses, you can choose the one that suits your interests, abilities and deadlines.
Slovak
KTVŠ will provide sports equipment.
The student can sign up for the outdoor sports courses offered by the department: water tourism - river rafting, windsurfing, beach volleyball, hiking and other hobby sports. The lessons in the courses are focused on the development of basic and special movement skills and, mastering the techniques needed for the sports.
Creating a positive and lasting relationship with physical activity. Acquisition and mastery of basic motor skills and abilities in outdoor sports: windsurfing, beach volleyball, water tourism - river rafting, hiking and other sports according to interest. Training and improving the technique needed for the sports.
Improvement training in a selected sport aimed at enhancing locomotion skills in the selected sport. To improve the students´ resistance against various vices, stresses and risk factors.
Slovak, English
Practicing of offensive and defensive game combinations and playing with modified rules in collective sports such as basketball, volleyball, football, floorball, hockey. Command of elements of higher difficulty in locomotion skills (swimming - crawl stroke, breast stroke, butterfly stroke, trampoline jumping and aerobics – practicing of areobics compositions, bodybuilding – development of the main muscle groups, paddling on running water. Testing of the level of physical fitness and coordination skills.
100/0
Russell S., Norwig P. (2010). Artificial Intelligence: A Modern Approach, (3rd ed.), Prentice Hall. Available in faculty library.
Marsland S. (2015). Machine Learning: An Algorithmic Perspective, (2nd ed.), CRC Press.
Passing the online course https://course.elementsofai.com/ (in Enlish or Slovak version).
Slovak or English
The course consists of 20 numerical and 5 text-based tasks. Numerical tasks are checked automatically, text-based tasks are evaluated anonymously by students.
1. What is artificial intelligence: related areas, AI philosophy.
2. Troubleshooting and UI: Browsing and troubleshooting, browsing and games
3. Probability and chance, Bayes' theorem, naive Bayesian classification.
4. Machine learning: nearest neighbor classifier, regression.
5. Neural networks: basics, creation, modern techniques.
6. Consequences: on predicting the future, the effects of AI on society, summary.
The student will get acquainted with selected basic concepts of artificial intelligence and their use in solving various practical tasks.
Russell S., Norwig P. (2010). Artificial Intelligence: A Modern Approach, (3rd ed.), Prentice Hall. Available in faculty library.
Marsland S. (2015). Machine Learning: An Algorithmic Perspective, (2nd ed.), CRC Press.
Passing the online course https://course.elementsofai.com/ (in Enlish or Slovak version).
Slovak or English
The course consists of 20 numerical and 5 text-based tasks. Numerical tasks are checked automatically, text-based tasks are evaluated anonymously by students.
1. What is artificial intelligence: related areas, AI philosophy.
2. Troubleshooting and UI: Browsing and troubleshooting, browsing and games
3. Probability and chance, Bayes' theorem, naive Bayesian classification.
4. Machine learning: nearest neighbor classifier, regression.
5. Neural networks: basics, creation, modern techniques.
6. Consequences: on predicting the future, the effects of AI on society, summary.
The student will get acquainted with selected basic concepts of artificial intelligence and their use in solving various practical tasks.
- Teachers' own electronic study materials published on the course website or in the Moodle system
- Gavora, Peter a kol. 2010. Elektronická učebnica pedagogického výskumu. [online]. Bratislava : Univerzita Komenského, 2010. Dostupné na: http://www.e-metodologia.fedu.uniba.sk/ ISBN 978–80–223–2951–4.
- Tharenou, P., Donohue, R. and Cooper, B., 2007. Management research methods. Cambridge University Press.
- Topping, A., 2015: The Quantitative-Qualitative Continium. In: Gerrish, K. and Lathlean, J., The Research Process in Nursing, p. 159-172
- Williamson, K. and Johanson, G. eds., 2017. Research methods: Information, systems, and contexts. Chandos Publishing.
Continuous assessment: active participation in research in an international student team (25%), presentation of work in a workshop (25%), scientific article (50%)
Indicative evaluation scale: A 90 %, B 80 %, C 70 %, D 60 %, E 50 %
English
- Research methodology
- Design and implementation of a research project in an international group (preferably interdisciplinary)
- Methods and tools for collaboration in virtual space, collaboration in science and practice
- Academic writing, presentation of research results through scientific articles; objectives, content and structure of scientific articles; forms of academic publication, publication forums and evaluation of their quality
- Quality assurance and feedback - peer review
- Communication of results through posters or conference presentations
100/0
Students will learn in the team to agree on a common research topic, formulate research questions, determine research methods for the problem, collect and evaluate data, discuss their findings, present research results to the professional public, analyze and evaluate the scientific work of their colleagues, prepare a scientific article suitable for publication
2/1 (lecture / individual work)
Clark, Timothy R., et al. Business Model Generation. Wiley, 2010
The condition for admission to the exam is active participation in at least 80% of the lessons.
The final assessment consists of a presentation of the semester project. To successfully complete the course, it is necessary to achieve at least 50% of the overall score.
Slovak
1. Commercialization of scientific research.
2. Fundamentals of entrepreneurship and startup terminology.
3. Identification of problems and customer needs analysis (design thinking).
4. Technology transfer. Technology Readiness Levels (TRL).
5. Intellectual property and its protection.
6. Market, customer, and market potential of a technological solution.
7. Business Model Canvas. Revenue models.
8. Sources of financing for technological projects.
9. Pitching and communication of the solution.
10. Fundamentals of management and leadership.
11. Innovation support and incubation structures at national and international levels.
0/100
After completing the course, students can describe the possibilities for commercialization of scientific and technological research. They can identify market needs, assess the market potential of a technological solution, and are familiar with the terminology of entrepreneurship, technology transfer, and intellectual property protection. They understand the overall structure of a business plan and the main forms of financing for technological projects. They are familiar with the principles of communication, teamwork, and team leadership and can apply them appropriately in project work and its presentation.
To improve the students´ physical fitness, health and sport performance through sport.
Slovak, English
To improve offensive and defensive game combinations in collective sports. Practicing of tactical and technical elements in individual sports. Compensatory exercises to correct wrong body posture. Stretching. Competition rules in sport disciplines.
100/0
To strengthen the procedural aspect of university sport, stressing its health and psychological importance. To improve the students´ physical fitness.
Slovak, English
Sport training for Faculty Championships in a selected sport with modified rules. Selection of sport-talented students into teams of the Faculty Sport League, University League of Bratislava Faculties, and participation in sport events of the Faculty and University.
100/0