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.
Tan, L., Jiang, J.: Digital Signal Processing: Fundamentals and Applications, (2nd Edition). Academic Press 2013.
Hayes M.: Schaums Outline of Digital Signal Processing, (2nd Edition). McGraw-Hill 2011.
Bath, M.: Spectral Analysis in Geophysics. Elsevier Scientific Publishing Company 1974.
Smith, S.W.: The Scientist’s and Engineer's Guide to Digital Signal Processing. California Technical Publishing 1999.
Ongoing evaluation: homeworks, test, examples
Weight of the exam in the final evaluation: 0%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Discrete deterministic signals, discrete convolution and correlation.
Fourier transform of discrete signals. Discrete Fourier transform, fast Fourier transform, their basic properties, and spectra of basic types of discrete signals. Numerical realization of Fourier transform - decimation in time and decimation in frequencies.
Analog to digital conversion, digital to analog conversion. Signal sampling. Z-transformation and its properties.
Linear continuous systems. Impulse and frequency response functions, transient and impulse characteristics of the system. Block diagrams.
Linear discrete systems. Impulse and frequency response functions, transient and impulse characteristics of the system. Block diagrams.
Digital filters - recursive and non-recursive, principle of design, low-frequency, high-frequency and bandpass filters.
Correlation, optimization and polarization filters. Inverse filtration.
100/0
After completing the course, students will have a basic knowledge of random signals and processes, digital signal filtering and the processing of continuous and discrete deterministic signals using continuous or discrete systems.
Hogg, R., Tanis, E., Zimmerman, D.: Probability and Statistical Inference. Pearson Education 2014.
Hogg, R., Ledolter, J.: Applied Statistics for Engineers and Physical Scientists. Maxwell Macmillan International 1987.
Ongoing evaluation: homeworks, test
Weight of the exam in the final evaluation: 0%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Random phenomenon, operations with phenomena, probability of a phenomenon and its properties. Independence of phenomena. Bayesian theorem. Random variable of discrete type. Random variable of continuous type. Different types of distribution of random variables. Generation of random variables.
Point and interval estimates. Testing of statistical hypotheses - parametric and nonparametric tests. Multidimensional data processing - independence tests.
Regression and correlation analysis. Correlation. Theoretical and empirical regression function. Linear regression. Least squares method. Quality of regression function and intensity of dependence. Regression significance test.
100/0
After completing the course, students will be able to use statistical approaches to process measured data.
Numerical recipes in C++ : The Art of Scientific computing / William H. Press [et al.]. Cambridge : Cambridge University Press, 2002
Press, W. H., Flannery, B. P., Teukolsky, S. A., Vetterling, W. T.: Numerical Recipes in Fortran, The Art of Scientific Computing. Cambridge Universiy Press 1990.
Hämmerlin, G., Hoffmann, K. H.: Numerical Mathematics. Springer-Verlag, Berlin 1991.
Quarteroni, A., Sacco, R., Saleri, F.: Numerical Mathematics. Springer, Berlin 2000.
Ongoing evaluation: homeworks, test, examples
Exam: written test, oral exam
Weight of the exam in the final evaluation: 80%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Errors and their propagation, representation of numbers and accuracy, algorithms and convergence. Solution of nonlinear equations g (x) = 0, root separation, bisection method, regula falsi, Newton's method and fixed-point method. Numerical methods for solving systems of equations, finding the determinant and inverse matrix, LU-matrix decomposition, singular value decomposition, Jordan's form, Jacobi and Gauss-Jacobi methods, Cholesky algorithm, iterative methods, fastest gradient method. Gradient methods for solving linear systems. Interpolation and approximation, Lagrange, Newton and Chebyshev interpolation polynomial, least squares method. Cubic spline interpolation.
20/80
After completing the course, students will be able to properly choose and use basic numerical methods in solving mathematical and physical problems.
Elastic wave propagation and generation in seismology / Jose Pujol. Cambridge : Cambridge University Press, 2003
Shearer, P. M.: Introduction to seismology. Cambridge University Press 2009.
Gubbins, D.: Seismology and plate tectonics. Cambridge University Press 1990.
Aki, K., Richards, P. G.: Quantitative seismology. University Science Books 2002.
Kanamori, H. (ed.): Earthquake Seismology. Elsevier 2009.
Romanowicz, B., Dziewonski, A. (eds.): Seismology and Structure of the Earth. Elsevier 2009.
Ongoing evaluation: test, solving examples
Exam: written test, oral exam
Weight of the exam in the final evaluation: 80%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Equation of motion: in time and frequency domain, 3D, 2D SH, 2D PSV, 1D, isotropic and anisotropic continuum, elastic and viscoelastic continuum.
Overview of methods for solving the equation of motion.
Elastic waves in an unbounded homogeneous elastic continuum: Helmholtz decomposition, P and S waves, plane and spherical waves.
Reflection of plane waves at a flat free surface. Reflection and refraction of plane waves at the plane interface.
Surface waves in homogeneous and layered half-space, geometric dispersion. 1D vertical resonance in a layered half-space.
Diffraction. Waves in the anisotropic continuum.
Attenuation. High frequency waves. Ray method.
20/80
After completing the course, students will have a basic knowledge of the physics of seismic waves and analytical solutions of basic canonical problems.
To provide with basic properties of the geomagnetic field, its dynamic behaviour and its physical mechanism. To explain its origin and magnetohydrodynamic processes in the electric conductive liquid core.
Campbell, Wallace H. Introduction to Geomagnetic Fields, Cambridge Univ. Press, 2003.
Parkinson, W.D.: Introduction to Geomagnetism, Elsevier, 1982
test, solving problems
Ongoing evaluation: control questions, tests.
Exam: written test, oral exam.
Weight of the exam in the final evaluation: 80%.
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Poisson and Laplace equations and their solutions. Legendre polynomials. Analytical expression of the magnetic field of the Earth. Spherical harmonic analysis. Separation of the main (internal) and external field. International geomagnetic reference field (IGRF). Magnetic moment of the Earth. Variations of the geomagnetic field and processes in the ionosphere and magnetosphere. Secular variations of the geomagnetic field. Reversals of the geomagnetic field. Electromagnetic induction in the Earth’s body. Electromagnetic response of the Earth and the electric conductivity of the Earth’s mantle. Principles of the geomagnetic field generation. Conductivity of the ionosphere.
Poisson and Laplace equations and their solutions.
Legendre polynomials.
Analytical expression of the Earth's magnetic field, spherical harmonic analysis.
Separation of the main (internal) and external fields.
International Geomagnetic Reference Field (IGRF). Earth's magnetic moment.
Geomagnetic field variations and processes in the ionosphere and magnetosphere.
Secular variations of the geomagnetic field.
Geomagnetic field reversals.
Electromagnetic induction in the Earth.
The electromagnetic response of the Earth and the electrical conductivity of the Earth's mantle. Principles of geomagnetic field generation.
Ionospheric conductivity.
20/80
After completing the course, students will have a basic knowledge of the properties of the Earth's magnetic field, its dynamic effects and their physical mechanisms.
test, oral examination
Pujol, J.: Elastic wave propagation and generation in seismology, Cambridge University Press, 2003
Ranalli, G.: Rheology of the Earth. Chapman & Hall 1995.
Moczo, P., Kristek, J., Gális, M.: The finite-difference modelling of earthquake motions, Waves and ruptures. Cambridge University Press 2014.
Ongoing evaluation: homeworks, test
Weight of the exam in the final evaluation: 0%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Continuum and level of macroscopic description. Elementary volume of the continuum.
Contact and non-contact forces.
Traction vector. Displacement vector, strain tensor.
Continuity of traction vector, stress state at a point, stress tensor, stress-tensor symmetry.
Equation of motion of continuum. Lagrange and Euler formalisms.
Constitutive relation of elastic continuum - Cauchy formulation.
Thermodynamics of deformation and strain energy function.
Betti's theorem. Green's elastodynamic function.
Crack and crack-generated deformation.
Elasticity, viscosity and plasticity.
Hooke's elastic body, Newton's viscous fluid, Saint-Venant plastic body.
Viscoelasticity and attenuation. Maxwell, Kelvin-Voigt and Zener models, and generalized Zener / Maxwell models.
Elastoplasticity and nonlinear stress-strain relationship. Iwan's model.
100/0
After completing the course, students will have a basic knowledge of deformation of macroscopic bodies and rheological models of real materials.
Moczo, P.: Signal Analysis – Lecture Notes. www.fyzikazeme.sk/mainpage 2001.
Lyons, L. G.: Understanding Digital Signal Processing. Prentice Hall, New Jersey 2004.
Gubbins, D.: Time Series Analysis and Inverse Theory for Geophysicists. Cambridge University Press 2004.
Arfken, G. B. and Weber, H. J.: Mathematical Methods for Physicists. Fourth Edition. Academic Press 1995.
Ongoing evaluation: homeworks, test, examples
Weight of the exam in the final evaluation: 0%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Basic characteristics and properties of signal.
Fourier series of periodic signals. Fourier series of non-periodic signals. Convergence of Fourier series. Fourier transform of non-periodic signals, its basic properties. Fourier transform of real functions. Important examples of Fourier transform.
Convolution, properties of convolution and its graphical representation, convolution theorem. Spectra of important functions, different types of spectra. Spectra of non-periodic functions. Correlation and autocorrelation, the relationship between correlation and convolution. Autocorrelation and Rayleigh theorem.
Hilbert transform and its properties, spectrum of Hilbert transform. Analytical signal, envelope and instantaneous frequency. Spectra of causal functions.
Signal sampling, sampling theorem. Sampling of wideband and narrowband signals, practical notes on sampling of real signals. Discrete Fourier transform and its basic properties, the relationship between Fourier transform and discrete Fourier transform, choice of parameters in practical calculations.
100/0
After completing the course, students will have a basic knowledge of types of time signals, basic methods of their analysis, convolution and correlation and discretization of signals.
Moffat, H. K.: Magnetic field generation in electrically conducting fluid. Cambridge University Press 1978.
Ongoing evaluation: test
Weight of the exam in the final evaluation: 0%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students
Basic equations of cosmic MHD, dimensional analysis, induction equation, Reynolds magnetic number. Lorentz body force. Navier-Stokes equation, Boussinesq approximation. Equation of magnetostrophic equilibrium and its solution. Geostrophic flow. Taylor-Proudman theorem. Magnetic field drift, extraction and diffusion. Alfvén's theorem. Structural properties of magnetic field, magnetic helicity. Toroidal and poloidal magnetic and velocity fields, their mutual interaction. Consequences of selected field symmetries on generation mechanisms. Kinematic dynamo. Antidynamic theorems. Cowling's theorem. Braginsky's almost axially symmetric dynamo. Generation mechanisms, alpha-effect, omega-effect.
Hydromagnetic waves, Alfvén waves, inertial waves, MC and MAC waves. Hydromagnetic instabilities (ideal, gradient, resistive). Complete dynamo theory, models of self-consistent self-exciting dynamos. Computer simulations.
100/0
After completing the course, students will have a basic knowledge of the equations of cosmic magnetohydrodynamics (MHD), the physical principles of the generation of the Earth's magnetic field and the mechanisms of its secular variations.
Elementary fluid dynamics / D. J. Acheson. Oxford : Clarendon Press, 1990
Batchelor, G. K., Moffatt, H. K., Worster, M. G.: Perspectives in Fluid Dynamics: A Collective Introduction to Current Research. Cambridge University Press 2002.
Ongoing evaluation: test, solving examples
Weight of the exam in the final evaluation: 0%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Syllabus:
Surface waves on the surface of a deep fluid.
Wave dispersion and group velocity.
Surface tension and capillary wave effects. Surface waves on the surface of a shallow fluid.
Acoustic waves in a fluid. Internal gravitational waves.
Waves with a finite amplitude in a shallow fluid.
Viscous shock waves and solitary waves.
Kelvin-Helmholtz instability.
Thermal convection. Centrifugal instability.
Shear flow stability.
General theorem on viscous flow stability.
Unambiguity of steady viscous flow.
100/0
After completing the course, students will be able to solve basic canonical problems of fluid dynamics.
Ratcliffe, J.A.: Introduction to the ionosphere and magnetosphere. Cambridge University Press 1972.
Prolls, G.W.: Physics of the Earth’s Space Environment. Springer 2004.
questions
Ongoing evaluation: control questions, test
Exam: oral exam
Weight of the exam in the final evaluation: 80%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Radiation affecting the atmosphere and its changes. Neutral atmosphere, hydrostatic equilibrium, pressure and concentration distributions. Interaction of radiation with the atmosphere. Heat balance equation, heat absorption and transport. Atmospheric temperature. Diffusion. Photochemical and drift equilibrium. Chapman's theory of the ionized layer in the atmosphere. Propagation of electromagnetic waves, ionosphere sounding. Electron concentration distribution with height, seasonal variations.
Recombination processes. Properties of individual ionospheric layers, main maximum. D-layer and PCA and SID perturbations. Plasmasphere.
Motion of charged particles in electric and magnetic fields. Drift motion, adiabatic invariants. Ring current and magnetic field disturbances on the Earth's surface. Radiation belts.
The magnetic field of the Sun and Parker's solar wind theory. Interaction of the solar wind with the geomagnetic field. Open and closed magnetosphere.
Formation of the boundary between the solar wind plasma and the geomagnetic field, and changes due to fluctuations in the solar wind. Current systems in the polar regions. Processes in the magnetosphere. Magnetic reconnections, magnetohydrodynamics equations, current layers, applications in the magnetosphere. Auroras, magnetic storms. Shock waves in the solar system.
Basic information about the cavity resonator between the Earth and the ionosphere.
20/80
After completing the course, students will have a basic knowledge of the theory of formation of the ionized layer around the Earth, the ionosphere and magnetosphere, and the physics of the Solar-terrestrial relations.
oral examination
Geodynamics / Donald Lawson Turcotte, Gerald Schubert. Cambridge : Cambridge University Press, 2002
Bercovici, D.: Mantle Convection in Encyclopedia of Solid Earth Geophysics, Harsh Gupta (ed.). Springer 2011.
Ongoing evaluation: homeworks, test, examples, continuous evaluation of knowledge
Exam: written test, oral exam
Weight of the exam in the final evaluation: 0%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics
English
Any number of students.
A brief history of plate tectonics.
A simple model of plate tectonics.
Lithosphere and Earth's mantle.
Two-dimensional flexure of a perfectly elastic thin plate.
Lithosphere flexure applications:
- under the weight of an island chain
- in the subduction region
- under the weight of mountains
Convection in a heated layer from below. Application to Earth’s mantle.
Current state of views on mantle convection and plate tectonics.
100/0
After completing the course, students will have a basic knowledge of the physical nature of geodynamic and tectonic processes in the lithosphere and the Earth's mantle.
Elastic wave propagation and generation in seismology / Jose Pujol. Cambridge : Cambridge University Press, 2003
Shearer, P. M.: Introduction to seismology. Cambridge University Press 2009.
Gubbins, D.: Seismology and plate tectonics. Cambridge University Press 1990.
Aki, K., Richards, P. G.: Quantitative seismology. University Science Books 2002.
Kanamori, H. (ed.): Earthquake Seismology. Elsevier 2009.
Romanowicz, B., Dziewonski, A. (eds.): Seismology and Structure of the Earth. Elsevier 2009.
Moczo, P., Kristek, J., Gális, M.: The finite-difference modelling of earthquake motions, Waves and ruptures. Cambridge University Press 2014.
Ongoing evaluation: test, solving examples
Exam: written test, oral exam
Weight of the exam in the final evaluation: 80%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Seismic waves in the Earth.
Representation theorem for the inner surface. Body-force equivalent of displacement dislocation. Moment-density tensor. Efficient point source. Moment tensor. Scalar seismic moment. Wave field generated by a point force in a homogeneous continuum. Wave field generated by a point DC source. Radiation characteristics.
Kinematic and dynamic model of a seismic source. Slip, slip rate, stress on a fault, boundary conditions for dynamic rupture propagation, friction laws. Modes of rupture propagation. Sub-Rayleigh and supershear rupture propagation.
Directivity, source spectrum, stress drop, self-similarity and scaling laws.
Seismic energy. Earthquake magnitude, earthquake effects.
20/80
After completing the course, students will have basic knowledge of the propagation of seismic waves in heterogeneous media, approximate methods of solving the equation of motion, and seismic waves in the Earth.
Carmona, R., Hwang, W.-L., Torrésani, B.: Practical Time-Frequency Analysis. Academic Press 1998.
Daubechies, I.: Ten lectures on wavelets. SIAM 1992.
Flandrin, P.: Time-frequency / time-scale analysis. Academic Press 1999.
Huang, N. E., Shen, Z., Long, S. R., Wu, M. C. , Shih, H. H., Zheng, Q., Yen, N.-C., Tung, C. C., Liu, H. H.: The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc. R. Soc. London, Ser. A, 454, 903–995, 1998.
Ongoing evaluation: homeworks, test, examples.
Weight of the exam in the final evaluation: 0%.
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Stationary and non-stationary signals, time, frequency and time-frequency signal analyses, atomic decompositions and energy distributions. Instantaneous frequency and group delay, Heisenberg-Gabor uncertainty principle.
Windowed Fourier transform method, spectrogram. Examples of applications. Continuous wavelet transform, scalogram. Discrete wavelet transform, wavelet packets. Examples of applications. Wigner - Ville distribution. Cross-members. Cohen class and affine Cohen class of transformations. Relationship of Wigner-Ville distribution with other energy distributions.
Reassignment method, principle and relations for reassignment of spectrogram and scalogram. Matching pursuit decomposition, original version, linear and quadratic versions. Examples of applications. EMD (Empirical mode decomposition) / HHT (Hilbert-Huang transform) method. Examples of applications.
100/0
After completing the course, students will have a basic knowledge of methods of the time-frequency analysis of signals and methods of quantitative comparison of signals.
Reiter, L.: Earthquake hazard analysis. Issues and insights. Columbia University Press, New York 1990.
Kramer, S. L.: Geotechnical Earthquake Engineering. Prentice Hall, New Jersey 1996.
McGuire, R. K.: Seismic Hazard and Risk Analysis. Earthquake Engineering Research Institute, Oakland 2004.
Baker, J. W.: An Introduction to Probabilistic Seismic Hazard Analysis (PSHA). Version 1.3. 2008 (http://web.stanford.edu/~bakerjw/Publications/).
Ongoing evaluation: homeworks, test.
Exam: written test, oral exam.
Weight of the exam in the final evaluation: 80%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Prerequisite course. Any number of students.
Introduction, terminology.
Elements of statistics and probability.
Deterministic and probabilistic analyses of seismic hazard. Uncertainties.
Integral of seismic hazard. Disaggregation.
Distribution functions for distance and magnitude.
Ground motion prediction equations.
Simple examples of analysis.
Logic tree. Site effects. Selection of accelerograms.
Case studies.
Practical aspects, open questions, alternative approaches.
20/80
After completing the course, students will have a basic knowledge of the physical assumptions and methods of seismic hazard analysis.
Turcotte, D.L.: Fractals and Chaos in Geology and Geophysics. Cambridge University Press 1997.
Ongoing evaluation: test
Weight of the exam in the final evaluation: 0%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Syllabus:
Fractals and fractal dimension.
Examples of fractal statistics, fragmentation and its modelling.
Seismicity and tectonics, spatial distribution of earthquakes.
Yield and tonnage.
Geomorphology.
Fractal clustering.
Self-similar fractals.
Renormalization method.
Permeability and porosity.
Self-organized criticality.
Lorenz equations.
100/0
After completing the course, students will have a basic knowledge of the theory of fractals and chaos in connection with geophysical and geological processes.
Wait, J. R.: Geo-Electromagnetism, Academic Press 1982.
Ongoing evaluation: homeworks, test, examples
Weight of the exam in the final evaluation: 0%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Vertical electrical sounding for two-layer and multilayer soil, apparent resistivity, Wenner electrode field, model of anisotropy of electrical conductivity, DC-method and models with inhomogeneous conductivity, model with exponential conductivity, perturbed electric fields for spherical and cylindrical inhomogeneity. Induced electrical polarization method.
Current loop over stratified soil, mutual impedance, measurement of resistivity using two coils, Hertz potentials, solution of Helmholtz equation.
Magnetotelluric sounding, impedance, Hertz vectors. Application in practice. Homogeneous side layers model, model with wavy interface. Magnetovariation sounding. Significance for understanding the structure of the Earth's mantle.
100/0
After completing the course, students will have a basic knowledge of solving basic forward problems with stationary and time-varying electric and magnetic fields for determining the structures of electrical conductivity.
Numerical recipes in C++ : The Art of Scientific computing / William H. Press [et al.]. Cambridge : Cambridge University Press, 2002
Press, W. H., Flannery, B. P., Teukolsky, S. A., Vetterling, W. T.: Numerical Recipes in Fortran, The Art of Scientific Computing, Cambridge Universiy Press 1990.
Hämmerlin, G., Hoffmann, K. H.: Numerical Mathematics, Springer-Verlag, Berlin 1991.
Quarteroni, A., Sacco, R., Saleri, F.: Numerical Mathematics, Springer, Berlin 2000
Ongoing evaluation: homeworks, test
Weight of the exam in the final evaluation: 0%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Approximations of derivatives and integrals, eigenvalues and eigenvectors of matrices, numerical solutions of differential equations, initial value problem, reduction to dimensionless form, uniqueness of solution, consistency, stability, solution convergence, Euler's method, Runge-Kutta method, multistep methods, predictor-corrector methods, higher order linear differential equations.
100/0
After completing the course, students will be able to properly select and use advanced numerical methods in solving mathematical and physical problems.
Earth Science / Edward J. Tarbuck, Frederick K. Lutgens. Columbus : Merill Publishing Company, 1988
Bormann, P. (ed.) (2012): New Manual of Seismological Observatory Practice (NMSOP-2), IASPEI, GFZ German Research Centre for Geosciences, Potsdam (ed.) 2012; http://nmsop.gfz-potsdam.de; DOI: 10.2312/GFZ.NMSOP-2
Weight of the exam in the final evaluation: 100%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively.
The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
The course is held in Vienna, Austria.
Seismic stations, networks, arrays, seismic monitoring, Geophysical observatories, seismic networks, array seismology, 3-component arrays, Practice at national network and CTBTO.
0/100
gained more advanced knowledge of seismological applications
Contributions of the Geophysical Institute of the Slovak academy of sciences / compiled by E. Závodská. Bratislava : Veda, 1991
Torge W.: Gravimetry. Walter de Gruyter 1989.
Havskov, J.: Instrumentation in Earthquake Seismology. Springer 2006.
Exam: written test, oral exam
Weight of the exam in the final evaluation: 100%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
The course is held in Vienna, Austria. Any number of students.
Types of observations, absolute and relative gravity measurements, gravimeter (free fall gravimeter, LCR gravimeter, superconducting gravimeter), gravimeter calibration, magnetic instrumentation, gradiometer, satellite instrumentation, seismic sensors, inertial seismometer, frequency response, velocity transducer, accelerometers, velocity broadband sensors, force-feedback seismometer, self noise, new developments, micromachined accelerometers, parameters, instrument examples, seismic noise, analog-to-digital converters, Sigma-Delta ADAC, seismic recorders, instrument correction, seismic stations, calibration and testing.
0/100
Students get basic knowledge of instrumentation in earthquake seismology as well as in gravity and magnetic field observation.
Interior structure of the earth and planets / Vladimir Naumovič Zharkov; translated from the Russian by William B. Hubbard and Ronald A. Masteler. Chur, Switzerland ; New York : Harwood Academic Publishers, 1986
Babuska, V., Cara, M.,: Seismic anisotropy in the Earth. Springer 1991.
Exam: written test, oral exam
Weight of the exam in the final evaluation: 100%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively.
The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
The course is held in Vienna, Austria. Any number of students.
Wave propagation in homogeneous anisotropic media, elastic anisotropy of minerals, polycrystalline rocks, Backus-, Reuss and other averages over anisotropic properties, transverse isotropy, effects at seismic wavelength, effects of seismic anisotropy on the different wave type: refraction, shear-wave splitting, surface waves (azimuthal anisotropy, radial anisotropy), anisotropy in the Earth, upper crust, lower crust, mantle, inner core, different tectonic environments, mountain chains, subduction zones, cracked media, Hudson-models, crack density, anisotropy effects in reflection seismic, applications in the hydrocarbon industry, relation with stress, reservoir engineering.
0/100
gained insight into phenomena of seismic anisotropy, and their applications
Earth Science / Edward J. Tarbuck, Frederick K. Lutgens. Columbus : Merill Publishing Company, 1988
Weight of the exam in the final evaluation: 0%.
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Excursion is organized by University of Vienna. Any number of students.
Excursion to institutions, companies, field experiments in the domain of physics of the Earth, upon availability.
100/0
Students get to know the professional context around their field of study.
no final exam
The finite-difference method for seismologists : An introduction / Peter Moczo [et al.]. Bratislava : Comenius University, 2004
Moczo, P., Kristek, J., Gális, M.: The finite-difference modelling of earthquake motions, Waves and ruptures. Cambridge University Press 2014.
Fichtner, A.: Full Seismic Waveform Modelling and Inversion. Springer 2010.
Ongoing evaluation: homeworks, test, examples
Weight of the exam in the final evaluation: 0%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Introduction: seismic processes in the Earth, and Earth models.
Basic mathematical-physical model: forms of equation of motion, constitutive relations, strong formulations of equation of motion, boundary conditions, initial conditions, wave field sources.
Overview and comparison of numerical methods: finite-difference method, finite- and spectral-element methods, discontinuous Galerkin method.
Finite-difference method: time-space grids, approximations of derivatives, explicit and implicit schemes, properties of schemes.
Finite-difference method for 1D problem: harmonic plane wave in a grid, grid dispersion, schemes for unbounded heterogeneous medium, schemes for material interface, schemes for free surface, grid boundaries, wave field excitation, inclusion of attenuation.
100/0
After completing the course, students will be able to work on the development of methods for numerical modelling of seismic wave propagation and seismic motion.
Elastic wave propagation and generation in seismology / Jose Pujol. Cambridge : Cambridge University Press, 2003
Koper, K. D., T. C. Wallace, S. R. Taylor, and H. E. Hartse, 2001, Forensic seismology and the sinking of the Kursk, EOS Trans., AGU, 82, pp. 37, 45-46.
Dahlman, O.: Detect and deter: can countries verify the nuclear test ban. Springer 2011.
Kristekova M., Moczo P., Labak P., Cipciar A., Fojtikova L., Madaras J., Kristek J. 2008. Time-Frequency Analysis of Explosions in the Ammunition Factory in Novaky, Slovakia. Bull. Seism. Soc. Am. 98, 2507–2516.
no
Exam: written test, oral exam
Weight of the exam in the final evaluation: 100%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
The course is held in Vienna, Austria. Any number of students.
Acoustic and seismological data as evidence for human activity, examples, detection thresholds of networks and arrays, seismic noise, advanced application of array techniques, nuclear verification, the Comprehensive Test Ban Treaty Organisation (CTBTO) in Vienna, IMS, IDC, OSI.
0/100
Students get to know the application of seismology for forensic purposes.
written, oral exam
Physical geology / L. Don Leet, Sheldon Judson. Englewood Cliffs : Prentice-Hall, [1971]
Weight of the exam in the final evaluation: 50%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
The course is held in Vienna, Austria. Any number of students.
Minerals, rock types, magmatism, sedimentation, metamorphism, elements of petrology, principles of structural geology, stress and strain, faulting, ductile processes, folding, regional examples, geological evolution, geological time scale, orogenesis, erosion processes.
50/50
Students get to know the basics of geology.
Earth Science / Edward J. Tarbuck, Frederick K. Lutgens. Columbus : Merill Publishing Company, 1988
Torge, W.: Geodesy. Walter de Gruyter 2001.
Torge, W.: Gravimetry. Walter de Gruyter 1989.
Hofmann-Wellenhof, B., Moritz, H.: Physical Geodesy. Springer 2005.
Melchior, P.J. :The Tides of the Planet Earth. Pergamon Press 1978.
Exam: written test, oral exam
Weight of the exam in the final evaluation: 100%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively.
The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
The course is held in Vienna, Austria. Any number of students.
Figure of the earth, ellipsoid, geoid, gravitational and gravity potential, spherical harmonics expansion, normal ellipsoid and normal gravity, solution of Laplace's DGL in ellipsoidal coordinates, theorem of Clairaut, height systems, gravimetric geoid determination (boundary value problem in physical geodesy, integral formula of Stokes, boundary value problem of Molodensky), principles of satellite geodesy, global gravity models, 2-FFZoral gravity variations, earth tides, free oscillations and core modes, earth rotation, loading effects, isostasy and spatial variation of the gravity field, case histories.
0/100
Gained knowledge of basic aspects of the figure and the gravity of the Earth and of the dynamic processes of the Earth interior.
Poirier, J.-P.: Introduction to the Physics of the Earth's Interior. Cambridge University Press 2000.
Ongoing evaluation: homeworks, test
Exam: written test, oral exam
Weight of the exam in the final evaluation: 80%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Fundamentals of solid phase thermodynamics, isothermal and adiabatic bulk moduli, seismic parameter, elastic moduli of crystal aggregates. Thermoelasticity, thermodynamic Grüneisen parameter. Density in the Earth’s mantle as a function of depth, Adams-Williamson equation, Bullen’s parameter.
Thermal oscillations of the crystal lattice, dispersion curve for infinite and finite lattice, principles of Debye solid state theory, long-wave approximation, Debye frequency, Grüneisen parameters, Slater gamma.
Isothermal equations of state, Murnaghan integral equation of state, Birch-Murnaghan equation of state, equations of state determined from interatomic potentials. Birch's laws. Phase transitions, phase diagrams of binary systems, melting curves, polymorphism and transition region in the mantle. Basic mantle rock-forming minerals and their phase transitions. Melting, Simon and Kraut-Kennedy equation. Processes in the liquid core of the Earth, solidification. Transport processes, solid state diffusion, vacancies and dislocations, viscosity, diffusion and dislocation creeps. Convection in the mantle.
20/80
After completing the course, students will have basic knowledge of the microphysical aspects of materials in extreme conditions inside the Earth.
Jak se studují zemětřesení : základy seismiky / Alois Zátopek. Praha : Jednota československých matematiků a fyziků, 1949
Fairhurst, C - editor (1990): Rockbursts and Seismicity in Mines. Balkema, ISBN 90-6191-145-1.
Gay, N C & Wainwright, E H - editors (1984): Rockbursts and Seismicity in Mines. Balkema, ISBN 0-620-06708X.
Jaeger, J C., Cook, N.G.W., (1969, Fundamentals of Rock Mechanics. Chapman & Hall, ISBN 0-412-22010-5,
Knoll, P - editor (1992): Induced Seismicity. Balkema.
Exam: written test, oral exam
Weight of the exam in the final evaluation: 100%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
The course is held in Vienna, Austria. Any number of students.
Fundamentals of Rock Mechanics with special reference to geological fault zones, their properties and effects on the mine workings or dams, principles of rock mechanics in deep mining, assessment of seismic events in the mining industry, reservoir - induced seismicity, mining-induced seismicity. Exercises with direct application of contents of the lecture. Examples deal with e.g. how to estimate the size of earthquakes and stability questions.
0/100
Gained basic knowledge regarding man-made changes in the topmost crust of the Earth and their possible effects.
written, oral exam
Time series analysis and inverse theory for geophysicists / David Gubbins. Cambridge : Cambridge University Press, 2004
Aster, R.C., Borchers, B., Thurber, C.H.: Parameter estimation and inverse problems. Elsevier 2005.
Tarantola, A., 2005, Inverse problem theory - and methods for model parameter estimation, SIAM, ISBN 978-0-89871-572-9
Exam: written test, oral exam
Weight of the exam in the final evaluation: 100%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
The course is held in Vienna, Austria. Any number of students.
Elements of linear algebra and statistics, classification of inverse problems, linear regression, continuous inverse problem, discretization, Backus-Gilbert method, SVD, generalized inverse, covariance, resolution, ill-posed problems, Tikhonov regularisation, damped least-squares, iterative methods, conjugate gradient, maximum entropy, Gauss-Newton, Levenberg-Marquardt, Monte Carlo technique, hypothesis testing, travel time tomography, inversion for 1D Earth structure. If time, then: Adjoint techniques.
0/100
Students learn basic mathematical and numerical methods applied in solving inversion problems.
Lillie, J. R.: Whole Earth Geophysics. Prentice Hall, Upper Saddle River, New Jersey 1999.
Percival, J. A., Cook, F. A., Clowes, R. M.: Tectonic styles in Canada: The lithoprobe perspective. Geological Assosiation of Canada 2012.
Bielik, M., Šefara, J.: Deep structure of the Western Carpathians. Krystalinikum, Moravské zemské muzeum 2002.
Vozár, J., Ebner, F., Vozárová, A., Haas, J., Kovács, S., Sudar, M., Bielik, M., Csaba, P.: Variscan and Alpine terranes of the Circum-Pannonian Region. Bratislava, Slovak Academy of Sciences 2010.
Ongoing evaluation: homeworks, test
Weight of the exam in the final evaluation: 0%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Geophysical methods and their applicability in the research of regional structure.
Characteristics of basic physical properties of lithosphere rocks.
Isostasis - local and regional.
Conversion of seismic wave velocity to densities.
Geophysical research of the regional structure of the Western Carpathians.
Seismic research of the structure of the Carpathian-Pannonian region and its surroundings.
Gravimetric research of the structure of the Carpathian-Pannonian region and its surroundings.
Magnetometric research of the structure of the Carpathian-Pannonian region and its surroundings.
Magnetotelluric research of the structure of the Carpathian-Pannonian region and its surroundings.
Geothermal research of the structure of the Carpathian-Pannonian region and its surroundings.
Integrated geophysical modelling of regional structure.
Creation of an integrated model of regional structure.
100/0
After completing the course, students will have a basic knowledge of the regional structures of the Carpathian-Pannonian region.
Physical geology / L. Don Leet, Sheldon Judson. Englewood Cliffs : Prentice-Hall, [1971]
Exam: written test, oral exam
Weight of the exam in the final evaluation: 100%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
The course is held in Vienna, Austria. Any number of students.
Mineral physics, structural variations, stability criteria, transformation of solids under changing physical conditions, mineral phase transformations, relation between properties of solids and atomic mechanisms, mineral phases relevant for the Earth`s interior, geophysical properties and their relation with thermomechanical and transport properties, tensorial decryption of properties, anisotropy.
0/100
Have learned basics of mineral physics and mineral transformations.
written, oral exam
Earth Science / Edward J. Tarbuck, Frederick K. Lutgens. Columbus : Merill Publishing Company, 1988
Paleomagnetism: Magnetic Domains to Geologic Terranes. By Robert F. Butler. Originally published by. Blackwell Scientific Publications, 1992.
Weight of the exam in the final evaluation: 100%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
The course is held in Vienna, Austria. Any number of students.
Fundamentals of geomagnetism, ferro(i)magnetic minerals (types, minerals, oxidations states, identification, curie 2-FFZeratures, hysteresis, experiments), remanent magnetizations and the history of the magnetic field (natural remanent magnetizations, identification, viscous components, principle component analysis, fisher statistics), sampling, measurements and data analysis, determining the past field strength (e.g. paleointensity techniques), applications and scientific fields: paleomagnetism and the reconstruction of global plate tectonics, magnetostratigraphy and dating, geomagnetic field reversals, archeomagnetism, biomagnetism.
0/100
Students get to know the basics of paleomagnetism, and its applications in Earth sciences.
Weight of the exam in the final evaluation: 0%.
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
The course is held in Vienna, Austria. Any number of students.
Presentation of scientific material, e.g., published papers, before the class. Discussion of the material by the presenting student and the entire student body.
100/0
Have learned how to present scientific material in front of an audience, and to critically examine the material; have come to use presentation tools.
Blakely, R.J.: Potential Theory in Applied Gravity and Magnetic Applications. Cambridge University Press 1995.
Exam: written test, oral exam
Weight of the exam in the final evaluation: 100%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
The course is held in Vienna, Austria. Any number of students.
Potential theory and its application in geophysics, source distribution (Newtonian potential, 1/r-function, convolution theorem, Delta-distribution, special source geometries, arbitrary sources, dipole, dipole distribution, Poisson-theorem, multi-pole distribution, magnetic induction), Green's function, Green's theorem, Boundary value problem and field continuation, field transformation in Cartesian and polar coordinate system (filtering, convolution), equivalent sources, Continuity property at discontinuities, 2D potential fields (logarithmic potential, analytical signal, generalized AS), Euler- and Werner deconvolution.
0/100
Students get deeper knowledge of potential theory applications.
written, oral exam
Sheriff, R.E., Geldart, L.P.: Seismic exploration. Cambridge University Press 2006.
Weight of the exam in the final evaluation: 50%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
The course is held in Vienna, Austria. Any number of students.
Brief review of seismic theory, partitioning of energy at an interface, Zoeppritz equations, head waves, seismic velocity, density, porosity, Gassmann and Biot equation,
resolution, Fresnel zones, seismic equipment, reflection methods, CMP method, data processing methods, Radon-transform, convolution, stacking, migration, geological interpreation, refraction method, 3D seismics, tomography, VSP, borehole tomography, 4D seismics.
50/50
Students get to know the basics of seismic exploration methods, especially of reflection seismology.
Interior structure of the earth and planets / Vladimir Naumovič Zharkov; translated from the Russian by William B. Hubbard and Ronald A. Masteler. Chur, Switzerland ; New York : Harwood Academic Publishers, 1986
Stein, S., Wysession, M.: An introduction to seismology, earthquakes, and Earth structure. Blackwell 2009.
Anderson, D. L.: New Theory of the Earth. Cambridge University Press 2007.
Weight of the exam in the final evaluation: 100%.
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively.
The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
The course is held in Vienna, Austria. Any number of students.
Some basics of seismology, rays, elements of refraction and reflection seismology, surface waves, travel times in a spherical Earth, inversion for 1D Earth structure, determination of density in the Earth, composition of the Earth`s interior, Moho, upper mantle triplications and discontinuities, core-mantle boundary structure, properties and rheological stratification of the Earth’s interior, heat flow and thermal structure of the Earth, mantle viscosity, determination of lateral heterogeneity, travel-time tomography, if time then finite-frequency tomography, use of amplitudes, arguments for inner-core rotation.
0/100
Know the basics of seismology and knowledge of the physical properties and the structure of the Earth.
Geodynamics / Donald Lawson Turcotte, Gerald Schubert. Cambridge : Cambridge University Press, 2002.
Jaeger, J.C., Cook, N.G.W., Zimmerman, R.W.: Fundamentals of rock mechanics. Blackwell 2008.
Scholz, C.H.: The mechanics of earthquakes and faulting. Cambridge University Press 2008.
Stein, S., Wysession, M.: An introduction to seismology, earthquakes, and Earth structure. Blackwell 2009.
Weight of the exam in the final evaluation: 100%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
The course is held in Vienna, Austria. Any number of students.
Recall of mechanical bases (stress and strain again, friction, rate-and-state-dependent friction, poroelasticity).
Global tectonics (brief history, plates, plate kinematics, triple points, plate-driving forces, geodynamical processes, structure of oceanic and continental lithosphere, types of plate boundaries), subduction zones, lithospheric dynamics, rheological stratification of the lithosphere, modern constraints from global geodesy)
Mechanics of fault systems (stick-slip, creep, indicators of current and ancient strain, state of stress, World stress map, earthquake geodesy, earthquake cycle, seismotectonics, deep earthquakes, stress-loading models, modeling of regional deformation, earthquake phenomenology, earthquake statistics, regional examples)
Fault behaviour (dislocation models, earthquake mechanics, geological deformation mechanisms, postseismic relaxation, time scales of fault deformation, dilatancy- and shattering effects of earthquakes, induced seismicity).
0/100
Know basics of regional geodynamics and seismotectonics.
Ongoing evaluation: homeworks, presentation.
Exam: written test, oral exam.
Weight of the exam in the final evaluation: 0%.
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Presentations by students and teachers on the most current issues of research of the structure of the Earth and the processes inside and around the Earth, based on publications in scietific journals. Emphasis on publications with a tutorial and a more comprehensive integrated view of physical processes in planetary bodies and near space.
100/0
After completing the course, students will be able to critically and analytically read scientific articles in journal literature and present the acquired knowledge.
Nuclear geophysics and its applications, IAES Technical reports series No. 574 (2012).
Clayton, C. G.: Nuclear geophysics. Elsevier 2003.
Ferronsky, V. I.: Nuclear geophysics. Springer 2015.
Ongoing evaluation: homeworks, test.
Weight of the exam in the final evaluation: 0%.
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Fundamentals of nuclear geophysics.
What and how we measure in nuclear geophysics.
Basic interpretation models.
Geophysical tracers.
Solving inverse problems of nuclear geophysics.
Applications of nuclear geophysics in the field of uranium mining, oil, industrial processes, construction, and environmental studies.
Future trends.
100/0
After completing the course, students will have basic knowledge of the methods and applications of nuclear geophysics in the exploration of the Earth and in the search for minerals.
Earth Science / Edward J. Tarbuck, Frederick K. Lutgens. Columbus : Merill Publishing Company, 1988
Bokelmann, G., Qorbani Chegeni, E., Bianchi, I., 2013, Seismic Anisotropy and Large-Scale Deformation of the Eastern Alps, Earth and Planetary Science Letters, doi:10.1016/j.epsl.2013.09.019.
Exam: written test, oral exam
Weight of the exam in the final evaluation: 100%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
The course is held in Vienna, Austria. Any number of students.
Some elements of plate tectonics, regional geodynamics, block tectonics, Alpine evolution, Pannonian basin, Carpathians, new seismological results from seismic anisotropy, receiver functions and dispersion, constraints from paleomagnetics (block rotations), lateral escape and its potential manifestation in mantle deformation, tectonic faults in the Eastern Alps and towards the Pannonian basin, seismicity in the Eastern Alps, results from geodesy, constraints from potential field data.
0/100
Student gets to know research approaches for better understanding the Earth`s interior and dynamics, using the Eastern Alpine region as an example.
written, oral exam
Arken, G., Weber, H.: Mathematical Methods for Physicists. Elsevier Academic Press, 2005.
Riley, K., Hobson, M., Bence, S.: Mathematical Methods for Physics and Engineering. Cambridge University Press, 2006.
Ongoing evaluation: homeworks, test.
Weight of the exam in the final evaluation: 0%.
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Second-order partial differential equations, solution of partial differential equations by the method of separation of variables, linear independence of solutions, Frobenius method
Sturm-Liouville equation, self-adjoint operators, eigenvalues and eigenfunctions, Hermitian operators and their properties, Green's functions, Gram-Schmidt orthogonalization, orthogonal polynomials.
Legendre functions, Legendre polynomials and their properties, associated Legendre functions, associated Legendre polynomials and their properties, spherical harmonic functions,
Chebyshev functions, Chebyshev polynomials and their properties, Laguerre functions, Laguerre polynomials and their properties, Hermitian functions, Hermitian polynomials and their properties.
Bessel differential equation, Bessel functions of the 1st kind and their properties, Bessel functions of the 2nd kind and their properties.
100/0
After completing the course, students will be able to use special mathematical functions in solving geophysical problems.
Weight of the exam in the final evaluation: 0%.
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Study of book and journal literature, research work, formulation of goals of the master thesis, its structure, proposal of problem solution. Reporting on the progress of solving the assigned topic, discussion of unexpected problems. Formulation of the concept of the master thesis. Intensive work, logical arrangement of results, their processing and evaluation. Evaluation of the fulfillment of objectives and formulation of conclusions. Comparison with the results of other authors in the journal literature and assessment of the own contribution. Preparation of an outline of the content of the thesis and a manuscript of the thesis. Preparation of figures, graphs and tables, and overall visualization of results. Text editing, final editing, linguistic and stylistic text control. Preparation of the presentation of the results of the thesis for the defense, preparation of responses to reviewers’ comments.
100/0
The result of the course will be a finished master thesis.
Ongoing evaluation: presentation of partial results of master thesis, study of the current scientific articles and literature, preparing reports
Exam: written test, oral exam
Weight of the exam in the final evaluation: 0%
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any number of students.
Presentation of the current progress towards achieving the goals of master theses. Each student presents at least twice his / her results or the results of fundamentally relevant publications from the scientific articles that relate to his / her master thesis.
The specific content of the seminar adapts to the nature of the master theses.
100/0
After completing the course, students will be able to acquire knowledge by studying selected journals and books needed to prepare a thesis.
Weight of the exam in the final evaluation: 100%.
Earn at least 90%, 80%, 70%, 60% or 50% of all points for earning grade A, B, C, D or E, respectively. The conditions for successful completion of the course are in accordance with the Study Regulations of the Faculty of Mathematics, Physics and Informatics.
English
Any numer of students.
Presentation of the content of the master thesis with focus on the student's own contribution.
Answering the opponent's questions and questions in the discussion.
0/100
Defended Master thesis.
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