G. Dorren: Babel. Around the World in 20 Languages. Profile Books, 2019
S. Pinker: Language Instinct. Brilliance Audio, 2014
S. Pinker: The Stuff of Thought. Language as a Window Into Human Nature. Penguin Books 2008
S. Pinker: Words and Rules. The lngredients of Language. Basic Books 2015
Continuous assessment: presentations, bonus assignments
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
The course focuses on the most important aspects of natural language research (the most complex cognitive function): basic properties of language (arbitrariness, generative productivity, dynamism, structuring at many levels), mechanisms of speech production and perception, language acquisition, innate and acquired factors of language development.
http://dai.fmph.uniba.sk/~rybar/
100/0
Acquisition of the most important current theories and methods of studying natural language and cognitive processes.
S. Blackmore, E.T. Troscianko: Consciousnes. An Introduction. Routledge, third edition 2018.
M.S. Gazzaniga, R.B. Ivry, G.R. Mangun: Cognitive Neuroscience. The Biology of the Mind. W.W. Norton & company, fifth edition 2019.
J. Friedenberg, G. Silverman: Cognitive Science. An Introduction to the Study of Mind. Sage 2012.
T. Metzinger: The Ego Tunnel. The Science of the Mind and the Myth of the self. Basic Books 2009.
Continuous assessment: presence (30%), presentation (40%), bonus assignments (30%)
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
The subject of the course is the human mind and brain from the perspective of neuroscience, computer science, psychology, and philosophy. It is mainly focused on the interdisciplinary study of consciousness: its neural correlates, neuroscience and behavioral research methods, and major theories.
100/0
The course objectives are to make the students familiar with major theories and methods of mind/brain research.
CogLab / Greg Francis, Ian Neath, Daniel R. VanHorn. Thomson/Wadsworth, 2014
Interim evaluation: presentations
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
Demonstration of 40 standard experiments in the fields of neurocognition, mechanisms of perception, attention systems, memory processes, speech production and perception, knowledge representation (concepts and mental ideas), judgment and decision-making processes.
http://dai.fmph.uniba.sk/~rybar/
100/0
Acquisition of methods for studying various cognitive phenomena (data collection and analysis) using an online cognitive laboratory.
Biophysics : An introduction / Roland Glaser. Heidelberg : Springer, 2012
Biomedical applications of introductory physics / Jack A. Tuszynski, John M. Dixon. Hoboken, N.J. : Wiley, 2002
Elementary biophysics : An introduction / P K Srivastava. Harrow : Alpha Science International, 2005
Preliminary evaluation: solving examples
Final exam: oral / written exam
Indicative evaluation scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
Structure and physical properties of biopolymers - nucleic acids, proteins and polysaccharides. DNA discovery, genes. Biological membranes - structure and function. Physics of nerve impulse generation and generation. Biomechanics, elasticity of biomaterials. Physics of respiration. Physics of blood circulation, space medicine. Biological optics, thermovision. Biological acoustics. Orientation of animals in electromagnetic fields and using ultrasound. Thermodynamics, bioenergetics. Molecular machines and nanobiotechnology. Evolution. Modern physical methods in biophysical research.
Solving physical examples associated with the mechanisms of processes in living organisms.
20/80
To show the students how the processes taking place in living organisms can be explained using physics
Halliday, Resnick, Walker: Fundamentals of physics
Feynman lectures on physics
Assesment during the semester: homeworks, written tests
Final exam: written test and oral exam
Approximate scale of final grades: A 90%, B 80%, C 70%, D 60%, E 50%
English
Physical quantities and units
Kinematics of point-like objects, velocity, acceleration
Vector quantities, centripetal acceleration
Motion with constant acceleration
Motion in constant gravitational field, projectile motion, energy conservation law
Newton laws of mechanics
Law of inertial movement, inertial frame of reference, uniform straight line motion
law of force, numerical solution for ballistic curve
Fundamentals of physics methodology, state of a system, change of state, equation of motion
Rotation, angular velocity
momentum of a system of point objects, conservation law
angular momentum, conservation law
tensor of inertia, Newton laws for simple rotational movements
static friction, dynamic friction
equilibrium conditions
scalar product, work of arbitrary force
Newton gravitation law, gravitation potential, energy conservation
Kepler laws
Circular motion in gravitation field
Harmonic oscillator
Hooks law for spring
Damped harmonic oscillator, resonance effect, lifetime/frequency uncertainty principle
Mathematical and physical pendulum
Elementary knowledge of physics methodology, understanding the role of equation of motions, ability to solve simple equations of motion, simple numerical methods which can be used if analytical solution is not possible, orientation in basic terminology of mechanics like mass, energy, momentum, moment of inertia, frequency etc.
Physics part 1. Mechanics: University textbook of general physics / David Halliday, Robert Resnick, Jearl Walker; translated by Jana Musilová ... [et al.]. Brno: VUTIUM Technical University, 2000
Physics part 2. Mechanics - thermodynamics: University textbook of general physics / David Halliday, Robert Resnick, Jearl Walker; translated by Jan Obdržálek ... [et al.]. Brno: VUTIUM Technical University, 2000
General physics: 1: mechanics and molecular physics / Štefan Veis, Ján Maďar, Viktor Martišovitš. Bratislava: Alfa, 1978
Physics for students at technical universities: 1: mechanics, acoustics, thermals / Dionýz Ilkovič. Bratislava: Alfa, 1972
Electronic texts and presentations on the subject's website
Priebežné hodnotenie: domáce úlohy, písomka
Skúška: písomná a ústna
Orientačná stupnica hodnotenia: A 90%, B 80%, C 70%, D 60%, E 50%
Elements of elasticity theory on the example of prism deformations, pressure and shear stress, Young's modulus.
Movement of coupled oscillators.
Chain of bound oscillators, continuous limit.
Wave equation and its solution, normal modes, Fourier decomposition.
Elastic waves in the continuum, sound, Doppler principle
Fluids, Pascal's law
Archimedes' law, Statics of fluids
Ideal fluid motion, Continuity equation, Bernoulli's equation
Calorimetry of incompressible fluid, the problem of what heat is.
Basic phenomenology of capillary and osmotic phenomena
History of the discovery of molecules by chemists.
Mol, Avogadro's constant, typical dimensions of the microworld
Phenomenology of gas processes, equation of state, Kelvin scale
Kinetic theory of gas pressure, energy temperature relation
Macroscopic work of gas, heat as microscopic work, first law of thermodynamic
Mayer's relation, Adiabatic process
Data processing elements, arithmetic mean error
Data fitting, minimizing sum of squares, (chi-square distribution?).
Drunken sailor, related to fluctuations
Maxwell's velocity distribution
Boltzmann distribution and barometric formula
Elements of relativity theory
40/60
Ability to work with physical systems with an infinite number of degrees of freedom, to understand the solution of a partial differential equation as an equation of motion, knowledge of basic concepts of hydromechanics, knowledge of basic concepts of molecular mechanics and thermodynamics, knowledge of thermodynamics applications in ideal classical gas, basic probability theory mathematical statistics in physics, understanding the basics of the theory of relativity
Linear Algebra and Geometry: A Journey of Three Dimensions with Overlaps in Related Fields / Pavol Zlatoš. Bratislava: Albert Marenčin, 2011; electronic version available at http://thales.doa.fmph.uniba.sk/zlatos/la/LAG_A4.pdf
We grow linear algebra / Luboš Motl, Miloš Zahradník. Prague: Karolinum, 2002
Lectures on Linear Algebra and Geometry / Július Korbaš, Štefan Gyurki. UK Publishing House, Bratislava, 2013
Continuous assessment: test
Examination: written and oral examination
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
Sets and representations, fields and vector spaces, basics of matrix calculus, systems of linear equations, linear subspaces and linear independence, basis and dimension, linear representations, matrix of linear representation, inverse matrices and transition matrices, base change, affine subspaces, determinants.
20/80
After completing the course the student will master the basic concepts and methods of linear algebra will be able to use them in geometry and physics.
Matematika pre fyzikov / A. Grega, D. Kluvanec, E. Rajčan. Bratislava : Slovenské pedagogické nakladateľstvo, 1974
Matematický aparát fyziky / Jozef Kvasnica. Praha : Academia, 1997
Matematické metody ve fyzice a technice / John Warren Dettman ; přeložil Jiří Langer ; vedec. red. Miroslav Brdička. Praha : Academia, 1970
For the semester, the student can get 30% (for tests) and the final written exam has a weight of 50%. The student must obtain at least half a point per semester in order to pass the final written exam. Indicative scale: A (100% -91% ), B (90% -81% ), C (80% -71% ), D (70% -61% ), E (60% -51% ), Fx (50% -0% ).
Slovak, English
Scalars and vectors, operations of their use in physics. Linear algebra (solving equations with several variables, linear independence, determinants, matrices). Complex numbers and their use. Limits and derivatives (physical, geometric meaning, rules for calculation, use of derivatives in mathematics and physics - velocity, acceleration, differential, extrema). Integrals (methods of integration - modifications, per partes, substitution). Applications of integrals in physical practice, the principle of superposition (calculation of centers of gravity, moments of inertia, potentials of conservative fields, forces acting between bodies of different shapes). Numerical methods of derivation and integration. Council (Taylor and Mac Laurinov, Fourier work). Differential equations as a basic language of physics (separable DR, homogeneous DR, DR order reduction method, linear DR of the first and second degree, method of variation of constants, method of indeterminate coefficients, method of compiling DR and their use in physics). DR solutions that cannot be solved explicitly (qualitative method, development into a series, numerical method of LDR solution).
30/70
After completing the course, students will be able to use advanced mathematical methods necessary to master physics courses. In particular, methods of differential and integral calculus.
For the semester, the student can get 30% (for tests) and the final written exam has a weight of 50%. The student must obtain at least half a point per semester in order to pass the final written exam. Indicative scale: A (100% -91% ), B (90% -81% ), C (80% -71% ), D (70% -61% ), E (60% -51% ), Fx (50% -0% ).
Slovak, English
Multiple variable functions. Multidimensional integrals and their use in physics (integration over the "rectangle", integration over the set, substitution method - transformation of the integral into different coordinate systems, calculation of the moment of inertia, calculation of the position of the center of gravity). Vector scalar argument function. Coordinate systems (polar, cylindrical, spherical - volume and area elements, speed determination, accelerations in various bases). Tensors (motivation for the introduction of the tensor - the relationship between the momentum and angular velocity in rotational motion, the moment of inertia tensor and its components, the search for the main axes of the inertia tensor). Curve integrals and their use in physics (curve integrals of the 1st and 2nd kind - work, center of gravity, conservative and non-conservative fields - without criteria). Fundamentals of vector analysis (directional derivation, gradient of scalar function and its Einstein summation convention, Laplace operator in various coordinate systems, rotation and divergence of vector function - creation of "idea" based on analogy with hydrodynamics. Gauss-Ostrogradsky theorem, Stokes theorem and its application Field conservation criteria, area calculation). Fundamentals of statistics (Random variables - discrete and continuous, probability density, Gaussian distribution, calculation of means, standard deviation, applications in physics, data processing elements, arithmetic mean error, data fitting, minimization of the sum of squares). Partial DR and their use in physics (wave equation, methods of solving partial DR) Numerical methods for solving partial DR.
30/70
After completing the course, students will be able to use advanced mathematical methods necessary to master physics courses. They will be skilled in the use of numerical methods and able to process the measured experimental data.
Physics part 1: Mechanics / D. Halliday, R. Resnick, J. Walker / VÚT in Brno, 2003
Physics I. / Dionýz Ilkovič / Bratislava, Alfa, 1972
Feynman lectures in physics 1 / R.P. Feynman, R.B. Leighton, M. Sands / Nakladatelsví Fragment, 2013
Electronic texts of the presentation on the website of the subject Mechanics (1)
Continuous assessment: papers
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Weight of the intermediate / final evaluation: 100/0
Additional exercise for the subject Mechanics (1). We will practice more simple examples of this subject.
Weight of the intermediate / final evaluation: 100/0
Mechanics
Physics part 2: Mechanics / D. Halliday, R. Resnick, J. Walker / Brno University of Technology, 2003
Physics I. / Dionýz Ilkovič / Bratislava, Alfa, 1972
Feynman lectures in physics 1 / R.P. Feynman, R.B. Leighton, M. Sands / Nakladatelsví Fragment, 2013
Electronic texts of the presentation on the website of the subject Mechanics (2)
Continuous assessment: papers
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Weight of the intermediate / final evaluation: 100/0
Slovak, English
Additional exercise for the subject Mechanics (2). We will practice more simple examples of this subject.
Continuous assessment: papers
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Weight of the intermediate / final evaluation: 100/0
Mechanics.
Analysis 1: Forster Otto, Vieweg, Springer Spektrum, 2015
Mathematics 1: For the study of technical sciences / I. Kluvánek ... [et al.]. Bratislava: SVTL, 1966
Exercises in Mathematical Analysis I / Zbyněk Kubáček, Ján Valášek. Bratislava: Comenius University, 2001
Collection of tasks and exercises in mathematical analysis / Boris Pavlovič Děmidovič; translated from the Russian original by Miroslav Rozložník and Miroslav Tůma. Havlickuv Brod: Fragment, 2003
Interim assessment: During the semester, there will be five written examinations for a total of 65 points. The student has the opportunity to obtain another 35 points for working on the exercises according to the instructions of the professional assistants who lead them. The student needs to get at least 60 points for work during the semester.
Exam: The exam consists of a written and an oral part.
Indicative assessment scale: A 92%, B 84%, C 76%, D 68%, E 60%
slovenský, anglický
Real and complex numbers, sequences and their limits,completeness and square root of a positive real number, numerical infinite series, exponential function, functions of a real variable and their limits, continuity and properties of continuous functions, elementary functions (power function, logarithm and trigonometric functions).
50/50
The student will learn the basics of differential and integral calculus of functions of one real variable.
articles according to the specification of the submitter of the topic
Interim evaluation: presentation
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English (study literature in Slovak or English)
Each student chooses one topic and in cooperation with the client of the topic prepares a short work in the range of several pages and at the same time presents the studied topic in the range of 20 minutes. Topics will be proposed by employees and doctoral students of physics departments, or from the SAS.
Weight of the intermediate / final evaluation: 100/0
The student will learn to study independently and then reference a selected topic from contemporary physics.
Andel, J.: Statistické metody. Matfyzpress Praha 2019.
Terek M.: Interpretácia štatistiky a dát. Equilibria 2017.
F.Kundracik: Spracovanie experimentálnych dát. Univerzita Komenského 1999.
Hogg, R., Ledolter, J.: Applied Statistics for Engineers and Physical Scientists. Maxwell Macmillan International 1987
Interim evaluation: tests
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English (study literature in Slovak or English).
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.
Analysis I, Forster Otto, Vieweg, Springer Spectrum, 2015
Mathematics for the Study of Technical Sciences: Parts 1 and 2 / Igor Kluvánek, Ladislav Mišík, Marko Švec. Bratislava: Alfa, 1970
Exercises in Mathematical Analysis I and II / Zbyněk Kubáček, Ján Valášek. Bratislava: Comenius University, 1996
Collection of tasks and exercises in mathematical analysis / Boris Pavlovič Děmidovič; translated from the Russian original by Miroslav Rozložník and Miroslav Tůma. Havlickuv Brod: Fragment, 2003
Interim assessment: During the semester, there will be five written examinations for a total of 65 points. The student has the opportunity to obtain another 35 points for working on the exercises according to the instructions of the professional assistants who lead them. The student needs to get at least 60 points for work during the semester.
Exam: The exam consists of a written and an oral part.
Indicative assessment scale: A 92%, B 84%, C 76%, D 68%, E 60%
Slovak, English
Differentiability and properties of differentiable functions, investigation of functions, numerical solution of equations, Riemannian integral, primitive function and methods of calculation of indefinite integrals, improper integrals, functional sequences and series, uniform convergence and its applications, power series, Taylor series.
50/50
The student will learn the basics of differential and integral calculus of functions of one real variable in parts: infinite series and Riemann integral.
Linear Algebra and Geometry: A Journey of Three Dimensions with Overlaps in Related Fields / Pavol Zlatoš. Bratislava: Albert Marenčin, 2011; electronic version available at http://thales.doa.fmph.uniba.sk/zlatos/la/LAG_A4.pdf
We grow linear algebra / Luboš Motl, Miloš Zahradník. Prague: Karolinum, 2002
Continuous assessment: test
Exam: exam
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
Bilinear and quadratic forms, scalar product, Euclidean and unitary spaces, Minkowski spacetime, eigenvalues and eigenvectors, spectrum of linear operator, Jordan canonical form, self-adjoint and unitary operators, spectral decomposition, principal axis theorem, quadrics.
20/80
After completing the course the student will master the most important concepts, results of the method of linear algebra and geometry and will be able to actively use them in other mathematical disciplines and in various fields of physics.
Kundracik, F .: Basics of Programming Practically. Vydavateľstvo UK 2013. On-line: http://www.fmph.uniba.sk/index.php?id=3246
Materials on the course page: http://davinci.fmph.uniba.sk/~kundracik1/ZakladyProgramovania/
Exam: practical (programming)
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
Basic structure of C / C ++ program, data types and their accuracy, program branching (if..else, switch, for, while, do..while), functions, use of references to return multiple values of functions, two- and multidimensional fields, texts , field references, data flows and their control (cin, cout), working with files (fstream), concept of object, drawing simple graphs from C ++ program (xmgrace, GNUplot), Euler's method for solving differential equations and its use for solving motion problems , roots of functions, numerical integration and its use for solving physical problems, random numbers and Monte Carlo methods, basics of object-oriented programming.
0/100
The student will understand the principles of computer processing of numbers and the resulting limitations (data types, including links, number fields). They will understand the basic structures of the program (functions, branches, ...) and their use to algorithmize problem solving. They will be able to program in C / C ++ language simpler algorithms for solving mathematical and physical problems (eg movement in fields, calculation of fields, sums of rows, ...).
Demetrian, M., Integrály v R6N, integrály závislé od parametra, krivkové a plošné integrály, Univerzita Komenského : Bratislava, 2023
Kluvánek, I., Mišík, L., Švec M .: (1961) Mathematics II, SVTL
Bratislava.
M. Demetrian, Fourier series and Fourier integral, Bratislava, UK, 2012
Boris Pavlovič Děmidovič, Collection of Problems and Exercises in Mathematical Analysis, Fragment Publishing House, 2003
Eliáš, J., Horváth, J., Kajan, J .: (1972) Collection of problems in higher mathematics
, IV, SNTL Bratislava.
Continuous assessment, final exam.
Grades: A (100-91), B (90-81), C (80-71), D (70-61), E (60-51), Fx (50-0).
Slovak, English
Line integrals and potential of vector functions. Area integrals, Stokes and Gauss formulas. Parameter dependent integrals, their analytical properties. Euler integrals. Fourier series, convergence theorems, applications in linear diffusion theory. Fourier transform basic properties of Fourier transform, convergence of Fourier integral.
http://hore.dnom.fmph.uniba.sk/~demetrian/index1.html
70/30: detailed 30 for midterm and 30 for exam, bonus: 10 quick tests during lectures
The student will have an overview of the use of curve and area integrals, potential theory. They become actively acquainted with the methods and use of parametric integrals. He will actively control the work with Euler integrals. They will get acquainted with Fourier series and their use in solving physical problems of diffusion and potential theory.
Linear Algebra and Geometry: A Journey of Three Dimensions with Overlaps in Related Fields / Pavol Zlatoš. Bratislava: Albert Marenčin, 2011; electronic version available at http://thales.doa.fmph.uniba.sk/zlatos/la/LAG_A4.pdf
We grow linear algebra / Luboš Motl, Miloš Zahradník. Prague: Karolinum, 2002
Continuous assessment: test 50%
Exam: exam 50%
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
Introduction to group theory, Transformation groups, Linear and affine groups, Isometric groups (Euclidean, Lorentz and Poincaré groups), Linear algebras, Lie algebras of matrix groups (continuous components, homotopies, overlapping homomorphisms).
50/50
After completing the course the student will know the basic as well as some more advanced concepts, results and methods of group theory, as well as associative and Lie algebras, and will be able to actively use them in the analysis of structural symmetries in geometry, mathematical analysis and physics.
A. Tirpák: Elektromagnetizmus. Iris (2011)
D. Halliday, R. Resnick, J. Walker: Fyzika 1-5, Akademické nakladatelství VUTIUM (2007)
Continuous assessment: written work
Exam: oral + written
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English (study literature in Slovak or English)
Electrostatics of charges in vacuum, in the presence of conductors and in dielectrics. Coulomb's law, Gauss's law, electric potential, calculation of electric fields. Electric current, Ohm's law, Kirchhoff's laws. Magnetism and electric currents. Biotov-Savart-Laplace law, Ampere's law, magnetic vector potential, magnetic field in magnetic material, calculation of magnetic fields. Electromagnetic induction, Lenz's rule, inductance and mutual inductance. Alternating electric currents, RLC circuits. Relativity of electric and magnetic field. Electromagnetic waves, Poynting vector.
50/50
By completing the course, the student will understand the basic laws applicable to electric and magnetic fields and will be able to apply them in solving problems.
Svetlo : Vlny, lúče, fotóny / A.Štrba, V.Mesároš, D. Senderáková. Nitra : Enigma, 2011
Optika s príkladmi I / A. Štrba, V. Mesároš, D. Senderáková. Bratislava : Univerzita Komenského, 1996
Fyzika část 4. Elektromagnetické vlny - optika - relativita : Vysokoškolská učebnice obecné fyziky / D. Halliday, R. Resnick, J. Walker ; přeložili J. Komrska ... [et al.]. Brno :
Vysoké učení technické VUTIUM, 2000
Physics : principles with applications / D.C. Giancoli. Upper Saddle River, N.J. : Pearson/ Prentice Hall, 2005
E. Hecht, Optics, 5th Edition, Pearson 2016
Continuous assessment: test
Exam: oral, written
Indicative rating scale: A 90%, B 80%, C 70%, D 60%, E 50%.
Credits will be awarded if the student obtains at least 50% points.
Introduction. Light sources, character. Geometric optics and basics of optical imaging (Fermat's principle, Snell's law, imaging equation, lenses, lens errors, spherical mirrors, imaging equation, prism, light decomposition by a prism, simple optical instruments, matrix approach). Wave optics: 1 / introduction (Maxwell's equations, electromagnetic field energy, Poynting vector, radiation intensity, wave equations and speed of electromagnetic waves, Doppler effect), 2 / light interference (Young's experiment, coherence, light interference on thin films, wedges, Newton's rings, Michelson interferometer) 3 / light diffraction (Huyghens principle, Fresnel diffraction, Fraunhofer diffraction, diffraction grating) 4 / light propagation (light generation, light dispersion in dielectric, scattering, polarization, Fresnel relations, reflection and refractive polarization, light propagation anisotropic environments). Light absorption, emission and scattering. Fundamentals of optical spectroscopy. The principle of lasers.
40/60
Follow-up knowledge of electricity and magnetism, acquisition of basic knowledge of optics, both in the field of geometric optics and imaging, as well as in the field of wave optics and optical spectroscopy. study programs where optics and optical spectroscopy are used. The acquired knowledge will also be necessary for the preparation of the bachelor's thesis.
articles according to the specification of the submitter of the topic
Interim evaluation: presentation
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English (study literature in Slovak or English)
Each student chooses one topic and in cooperation with the client of the topic prepares a short work in the range of several pages and at the same time presents the studied topic in the range of 20 minutes.
The work and presentation are in English.
Topics will be proposed by employees and doctoral students of physics departments, or from the SAS.
Weight of the intermediate / final evaluation: 100/0
The student will learn to study independently and then reference a selected topic from contemporary physics.
Practicum in Mechanics and Molecular Physics / Nadežda Zrubáková, Elena Brežná, Božena Pisoňová. Bratislava: Comenius University, 2003
Practicum in Mechanics and Molecular Physics / Nadežda Zrubáková, Elena Brežná, Božena Pisoňová. Bratislava: Comenius University, 1999
Continuous assessment: control of preparation for the internship, elaboration of reports from internships
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak and English
Recommended range of instruction (in hours): 39
Weekly: 2P + 1H Period of study: 27 P (9 weeks x3h) +12 H (4 weeks x3h)
In practice, students will gain skills in experimental verification of some basic physical laws (gravitational, Hook's, equation of state, etc.), quantitative investigation of physical events (state changes, oscillations, polytropic action, etc.) and measurement of some basic physical quantities (modules elasticity, density, viscosity, speed of sound, air humidity, surface tension, gravitational constant, gravitational acceleration,…).
Tasks: Density measurement. Measurement of modulus of elasticity. Vibrations of coupled pendulums. Measurement of gravity acceleration. Moment of inertia measurement. Gravitational constant measurement. Heat capacity measurement. Group heat measurement. Determination of dynamic viscosity of fluids. Measurement of dynamic viscosity of liquids by commercial viscometers. The fall of a sphere in a confined gaseous environment. Polytropic story. Determination of surface tension of liquids. Measurement of relative and absolute humidity. Measuring the speed of sound in air. Basic properties of oscillating motion.
Some tasks are equipped with sensors and transducers that allow the registration and processing of measured data by computers. For some tasks, conventional measuring instruments and aids are used.
Weight of the intermediate / final evaluation: 100/0
Deepening and use of theoretical knowledge of mechanics and molecular physics, mastering basic physical measurement methods. The student will master the basic habits of independent scientific work in physical research: working with literature, keeping laboratory protocol, obtaining experimental erudition, critical evaluation of measurement and physical interpretation of processed results, written processing of individual physical problems in the form of a paper.
- e-learning systém k predmetu s aktualizovanými podkladmi k experimentom
- Fyzikálne praktikum II : Návody na praktické cvičenia z elektriny a magnetizmu / Ján Pavlík. Bratislava : Univerzita Komenského, 2002
- Elektromagnetizmus, Andrej Tirpák, Bratislava: Polygrafia SAV, 1999
Interim evaluation: elaboration of practical papers,
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English (designations of instrument controls and their manuals)
Recommended range of instruction (in hours): 39
Weekly: 2P + 1H Period of study: 27 P (9 weeks x3h) +12 H (4 weeks x3h)
In the initial two or three exercises, joint acquisition of skills and measurement with analog and digital devices (oscilloscope, digital multimeter, A / D converter), processing of measured data by computer. This is followed by five to six separate laboratory works on electricity and magnetism selected from the offer: electrical properties of substances - electric bridges, Hall effect; electric field mapping; magnetic field mapping - air coils; electromagnetic induction - transformer; electrical RLC oscillations - transient RLC phenomenon, serial and parallel RLC circuit; magnetic properties of substances - hysteresis loops, permeability of substances, separation of magnetic losses; fuel cell; determination of the specific charge of an electron (e / m0).
100/0
Acquisition of skills in registration and data processing by computer, measurement of electrical and magnetic quantities. Physical interpretation and written / graphic presentation of processed results.
Mathematics for the study of technical sciences: 2 works / I. Kluvánek ... [et al.]. Bratislava: SVTL, 1965
Fundamentals of the theory of functions of a complex variable / Michal Demetrian. Bratislava: Comenius University, 2012
1-FYZ-215 Mathematics (3)
Evaluation during semester: 3 written tests 20 points each.
Final exam: written test (40 points).
Requirements for the final exam: minimum of 30 points from semestral evaluation.
Final evaluation:
100 - 90 A,
89 - 80 B,
79 - 70 C,
69 - 60 D,
59 - 50 E,
less than 50 FX.
Slovak, English
Elementary functions of a complex variable. Derivatives of a function of a complex variable. Cauchy-Riemann conditions. Conformal mappings. Curve integral. Cauchy's theorem. Cauchy integral formula. Taylor and Laurent's series. Residues. Argument principle.
60/40
The student will be familiar with the methods and applications of the theory of functions of a complex variable.
Recommended literature:
M.Nekvinda, J.Šrubař, J.Vild: Introduction to Numerical Mathematics, 1976; Anthony Ralston: Fundamentals of Numerical Mathematics, 1978; Emil Vitásek: Numerical Methods, 1987; Emil Vitásek: Numerical Mathematics II: Numerical Solution of Differential Equations, 1981; R.W. Hamming: Numerical methods for scientists and engineers, 1987; W.H.Press, S.A.Teukolsky, W.T.Vetterling,
B.P.Flannery: Numerical recipes 3.ed, 2007; A.Ralston, P.Rabinowitz: A first course in numerical analysis, 2001;
R.W. Hamming: Numerical methods for scientists and engineers, 1987; W.H.Press, S.A.Teukolsky, W.T.Weterling, B.P.Flannery: Numerical recipes 3.ed, 2007; A.Ralston, P.Rabinowitz: A first course in numerical analysis, 2001;
Continuous assessment: numerical solution of assigned homework
Exam: written
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Credits will be awarded if the student obtains at least 50% points.
Slovak and English
At least basic knowledge of programming in the programming language chosen by the student is assumed.
Computer representation of numbers, errors of numerical calculations, solution of nonlinear equations, solution of systems of linear equations, iterative methods, approximation and interpolation of functions, Chebyshev polynomials, least squares method, numerical quadrature.
Weight of the intermediate / final evaluation: 100/0
Students are able to create programs for numerical solution of selected physical problems.
R. Serway, C. J. Moses, C. A. Moyer: Modern Physics. Saunders College Publishing 1997
• A. Beiser: Introduction to Modern Physics. 1976 Academy
• P. Markoš: Modern Physics (scripts) STU Bratislava Publishing House 2012
• Feynman's lectures in physics, part 3 (published in English, Russian, Slovak and Czech)
• E. H. Wichman: Quantum Physics (Berkeley Physics Course vol. 3)
• D. Halliday, R. Resnick, J. Walker: Physics Brno University of Technology, ed. VUTIUM and PROMETHEUS 2006
• J. Pišút, L. Gomolčák, V. Černý: Introduction to quantum mechanics.
• J. Pišút V. Černý P. Prešnajder: Collection of problems in quantum mechanics. Alpha / SNTL, 1985
• A. F. J. Levi: Applied Quantum Mechanics, 2nd ed. Cambridge Univ. Press, 2006
• E. Merzbacher: Quantum Mechanics, 3rd ed. Jon Willey & Sons, 1998
Continuous assessment: homeworks, written tests
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
1. Experiments leading to quantization of electromagnetic field. Photon and its basic properties. Basic physical constants. Physical scales: energy, space, time.
2. Electron: discovery of an electron, Millikan's experiment. Electron diffraction (Davisson-Germer experiment). Atomic nucleus: Rutherford's experiment. Classical models of the atom and their failures.
3. Spectral series of a hydrogen atom. Bohr model of the atom. Correspondence principle Spin and magnetic moment of elementary particles
4. Wave function, its physical interpretation. Quantum states: bound (E <0), free (E> 0). Quantum particle diffraction - Young's experiment
5. Simple quantum systems: Potential pit, infinite, finite. Harmonic oscillator. The particle transition through the final potential barrier. Quantum particle tunneling. Alpha-decay of nuclei.
6. Orbital momentum, Quantization of momentum and spin.
7. Hydrogen atom, eigenstates, degeneration of energy levels. Spectrum corrections: Zeeman phenomenon, Spin, Stern-Gerlach experiment
8. Multielectron atoms. occupancy of energy levels, Periodic table of elements Atomic spectra, selection rules. X-ray generation, Moseley's law.
9. Double hole potential. Hydrogen molecule ion. Two-state quantum system: ammonia, benzene nucleus, organic molecules spin in a magnetic field. NMR, laser.
10. Molecules: bond between atoms. Rotational spectra and vibrational spectra of molecules. Heat capacity of crystals - phonons.
11. Atomic nucleus. : size, weight, composition. Neutron: properties, stability. Yukawa's model of strong interaction.
12. Binding energy. Core stability. Nuclear models: deuteron, drip nuclear model. Nuclear magnetic moment, NMR.
13. Beta-decay, inverse beta-decay, neutrino. Alpha-decay, radioactive advice. Nuclear transformations in nature, dating. Radioactivity
14. Nuclear fission. Nuclear fusion: proton-proton and carbon cycle.
15. Overview of elementary particles.
40/60
Basic knowledge of quantum theory, understanding its genesis based on physical experiments. Understanding simple quantum models and phenomena and their application in describing the structure, stability and physical properties of basic quantum structures: atomic nuclei, atoms and molecules.
W. H. Press et al..: Numerical Recipes. Cambridge Univ. Press, 1992
Continuous assessment: elaboration of homework for individual lectures.
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
Numerical stability of simple iteration schemes. Transition from a continuous problem to a discrete one. Numerical solution of the wave equation. Nonlinear iteration schemes. Numerical calculation of integrals. Random numbers. Differential equations: Runge-Kutta methods. Systems of differential equations. Simple physical models, firing method, time evolution of nonlinear physical models, Brownian motion. Simple integral equation, Optimization.
100/0
The graduate of the course will acquire the skills necessary for the numerical solution of simple physical problems and will learn the basic algorithms of numerical calculations and their programming in a programming language (C ++, Python, ...)..
Theoretical mechanics / Miroslav Brdička, Arnošt Hladík. Prague: Academia, 1987
Mechanics in Physics / Jan Horský, Jan Novotný, Milan Štefaník. Prague: Academia, 2001
Fecko, M .: Extended Syllabus and Problems in Theoretical Mechanics [40 pages, available electronically
J.Langer, J.Podolský: Theoretical Mechanics, electronically at http://utf.mff.cuni.cz/vyuka/OFY003/
J.Tillich, L.Richterek: Classical Mechanics, electronically at http://muj.optol.cz/richterek/lib/exe/fetch.php?media=mechanika:mechanika.pdf
Slovak, English
Lagrangian and Hamiltonian formalism, the least action principle, scaling and similar solutions, two-body problem and Kepler's problem, small oscillations, perturbation theory, Euler's equations for solid body rotation, stress tensor and surface forces, ideal and viscous fluid equations, Hook's law, waves in an elastic continuum and in an ideal fluid.
http://davinci.fmph.uniba.sk/~fecko1/studenti.html
20/80
After completing the course, students will understand and be able to use the material listed in the Brief syllabus of the course. In this way they will be well prepared for further theoretical physics courses.
Landau, Lev D.; Lifshitz, Evgeny M. (1975). The Classical Theory of Fields. Vol. 2 (4th ed.). Butterworth-Heinemann.
Continuous assessment: homework, paper
Examination: written, with possible oral part
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
basic relations of electrodynamics in vacuum and in media, conservation laws, elmag potentials, electrostatics - solution of Poisson's equation by method of separation of variables and by method of Green's function, elmag waves, elmag radiation
20/80
After completing the course, students should be able to solve Maxwell's equations as partial differential equations in some physically important situations.
Úvod do kvantovej mechaniky / Ján Pišút, Ladislav Gomolčák, Vladimír Černý. Bratislava : Alfa, 1983
Zbierka úloh z kvantovej mechaniky / Ján Pišút, Vladimír Černý, Peter Prešnajder. Bratislava : Alfa, 1985 (No English translations exist.)
D.J.Griffiths: Introduction to Quantum Mechanics, 2ed, Pearson Education Inc, 2005
1-FYZ-231/22 Úvod do modernej fyziky
(Introduction to Modern Physics Course)
Grades obtained during the semester are based on solutions to 10 or 11 homework problem sets and midterm exam
Final Exam: written exam
Marks: A 70%+ max grade, B 60%+ max grade, C 50%+ max grade, D 40%+ max grade, E 33%+ max grade
Slovak, English
Introduction: from the "one meter" dimension to the dimension of atoms. Atomic nuclei, nucleons and quarks. Standard Model of elementary particles. Uncertainty principle. Stability of atoms and origin of their typical size and typical binding energy. Typical size and typical binding energy of the atomic nucleus.
Basic concepts of elementary quantum mechanics: wave function and operators.
Wave function and mathematical description of a double-slit experiment with electrons. The principle of superposition.
Measurement in quantum mechanics.
Particle in an infinite well. Physical significance and properties of the wave function.
Free particle. Wave packets based on the principle of superposition to describe a free particle.
Time-dependent and time-independent Schrodinger equations. Stationary states.
Linear and Hermitian operators acting on the space of wave functions.
Properties of Hermitian operators. Operators corresponding to simple
physical quantities known from classical physics. Commutator and its significance.
Derivation of the uncertainty principle.
Time evolution of the general wave function and time evolution of the mean values of physical quantities.
Exact derivation of bound state solutions of simple quantum systems and their properties.
The final potential well and its graphical solution.
A simple harmonic oscillator and ladder operators (i) in the representation of wave functions, (ii) in the general Dirac bra / ket formalism, (iii) in the energy representation.
Angular momentum: eigenvalues and eigenfunctions. Properties of spherical harmonics.
Derivation of the exact solution for a hydrogen atom (Coulomb potential) and properties of the wave functions of the ground state and lowest excited states.
Spin.
Stern-Gerlach experiment. Orbital vs. spin angular momentum of the electron.
Spin description formalism: spinors and 2x2 Hermitian matrices corresponding to the spin projection operators on the x, y, z axes and on the axis given by a general unit vector.
Pauli matrices and their properties, their eigenvalues and eigenvectors.
Spin precession in an external homogeneous magnetic field.
Time-independent perturbation theory for non-degenerate states as an example of an approximate method for solving the time-independent Schrodinger equation. Usefulness of the method and convergence criteria. Derivation and properties of the solution in the first-order perturbation theory. Motivation for the second order. Energy levels in the second-order perturbation theory - derivation and examples.
http://davinci.fmph.uniba.sk/~blazek1/QM/ (alternating web pages for the Quantum Theory courses in the winter and summer semesters)
40/60
Learning the basic ideas of quantum mechanics and limitations of macroscopic classical physics. Acquiring knowledge of elementary mathematical formalism and problem solving skills. Developing physics thinking required to control quantum systems.
Fundamentals of statistical and thermal physics / Federick Reif. Singapore : McGraw-Hill, [1965]
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
Basic knowledge of molecules, random variables, kinetic theory of gases, reversible processes in an ideal gas, first and second thermodynamic laws, entropy, statistical ensembles (micro-canonical, canonical and grand-canonical), quantum ideal gases, Bose-Einstein distribution, Fermi-Dirac distribution, thermodynamic potentials, van der Waals equation, phase transitions, elementary analysis of transport phenomena, degenerate Fermi gas, black body radiation, Bose condensation, heat capacity of solids, chemical reactions.
20/80
After completing the course, students will be acquainted with the basic concepts, methods and laws and the simplest applications in the field of thermodynamics and statistical physics.
- Web = instructions for the subject with updated data for experiments
- Pavel Vojtek: Practical exercises in optics, MFF UK, 1992, scripts
- Štrba A., Mesároš V., Senderáková D .: Optics with Examples, MFF UK, 1996, scripts
1-FYZ-218/22 Optics (Physics 2/S), or 1-UFY-210/00 Waves and Optics (Physics Teacher Training in combination 2/S), or 1-TEF-205 Optics (Technical Physics 2/S)
or 1-FYZ-211/17 Electromagnetism and Optics (Physics 2/W)
Interim evaluation: elaboration of practical papers
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English (designations of instrument controls and their manuals)
Recommended range of instruction (in hours): 39
Weekly: 2P + 1H Period of study: 27 P (9 weeks x3h) +12 H (4 weeks x3h)
Through a series of measurements, we get acquainted with basic concepts and phenomena such as: light sources - radiation - reflectivity - absorption - photometry - basic photometric quantities. Next, we examine phenomena such as - light interference (two-beam interference, multi-beam interference), diffraction, light dispersion, refractive index, light polarization, optical activity. From the lecture we will repeat the basics of optical imaging - geometric optics and explain the construction of selected optical instruments, such as: photometer, microscope, telescope, monochromator, spectrometer, refractometer, interferometer, etc.) Some will be constructed and their parameters verified. We will measure some basic physical constants.
Each mathematical formulation of the investigated physical dependence (phenomenon) can be transformed into a certain measurable dependence (dependent on the so-called parameters). These are usually of various importance in terms of the phenomenon under study. In addition to storing the measured data, it is appropriate to display the measured data continuously graphically, which allows, especially when compared with the expected functional dependence, better visual inspection and more prompt detection and possible elimination of found errors.
There is a computer for each task. It includes instructions for the task, a program for evaluating measurements and graphical display of measured data and a program for a virtual experiment in the case of distance learning or. the need to carry out a parallel experiment to better understand the phenomenon. The measured tasks and their selection can be adapted to the respective field of study.
100/0
Physical interpretation and written / graphic presentation of processed results.
- instructions for exercises at http://www.dnp.fmph.uniba.sk/~kollar/navodnik.htm
- Physics practicum IV: Atomic physics and ionizing radiation detection / Matej Florek ... [et al.]. Bratislava: Comenius University, 1988
1-FYZ-231/22 Introduction to Modern Physics (Physics 2/S)
Interim evaluation: elaboration of exercise protocols
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English.
Recommended range of instruction (in hours): 39
Weekly: 2P + 1H Period of study: 27 P (9 weeks x3h) +12 H (4 weeks x3h)
In the introductory exercise, students will get acquainted with the methods used to process electrical pulses from ionizing radiation detectors (differential discriminator, single-channel and multi-channel analyzer). Separate laboratory exercises follow
- from atomic physics: Franck-Hertz experiment (verification of Bohr's postulates), Stefan-Boltzmann's law (radiation of an absolutely black body), range of alpha particles in air (principles of semiconductor detectors)
- from nuclear physics: statistical nature of nuclear transformations, determination of gamma radiation energy (principles of scintillation detectors), verification of Compton scattering
- from applied nuclear physics: measurement of air radioactivity (principles of Geiger-Müller detectors).
100/0
Gain experimental skills with used instrumentation, registration of ionizing radiation and processing of measured data. In the realized experiments, make sure of the agreement of experiments and theories that clarify them.
Monographs and original works from scientific periodicals determined individually according to the assignment of the bachelor's thesis
Interim evaluation: presentation
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak / English (study literature in Slovak or English)
Issues from professional monographs and scientific periodicals individually determined by the supervisor of the bachelor's thesis.
Weight of the intermediate / final evaluation: 100/0
After completing the course, students will be able to present the studied scientific issues and their own results to a professional audience.
Pechala Frantisek, Bednar Jan: Pracula dynamicke meteorologie. Prague: Academia, 1991
Meteorology and Climatology / S.P. Chromov (translated by J. Tomlain) / Vydavateľstvo SAV Bratislava, 1968, 456 pages
Ongoing evaluation:
Examination: oral / written
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak in combination with English (study literature in English)
Solar radiation, its transformation in the atmosphere, composition of the atmosphere and its vertical division, radiation balance Earth-atmosphere system, State functions of thermodynamic systems. Dry air thermodynamics. Main thermodynamic theorems. Polytropean story and its specifics. Dry adiabatic. Thermodynamic potentials. Thermodynamics of humid air. Adiabatic events in humid air. Pseudoadiabatic events. Phase diagram. Group heat. Phase change of a thermodynamic system. Water entropy in two and three stages. Introduction of equivalent and humid temperature. Temperature and pressure in the condensate outlet level. Equations of motion for air particles in the atmosphere. Forces in the atmosphere. Distribution of state elements in the atmosphere. Vertical profiles of meteorological elements. Simple atmosphere models. Barometric formula. Vertical stability of the atmosphere, the influence of vertical movements on the stability of the atmosphere. Particle and layer method. Energy of instability. Basic features of general circulation, pressure formations and their genesis, forces acting in these formations. Frontal interface, weather manifestations on atmospheric fronts. Daily and annual course of meteorological elements. Local circulation systems.
Weight of the intermediate / final evaluation: 0/100
Gain basic knowledge of atmospheric physics
Ordinary differential equations / Michal Greguš, Marko Švec, Valter Šeda. Bratislava: Alfa, 1985
Michal Demetrian, Ordinary Differential Equations, Comenius University 2013
interim and final exam:
continuous examination: tests(45%); final exam: written test(35%) and oral examination(20%)
Grades:
100-91% (A); 90-81% (B); 80-71% (C); 70-61% (D); 60-51% (E), 50-0% (Fx)
Slovak, English
Piccard's theorem. Integration methods for 1st order ODR. Existential theorem for linear DR. LDR solution set structure. Constant variation method. LDR solution using generalized power series. Some special LDR. Linear differential systems.
45/55
The student will gain skills in solving differential equations and gain experience in working with qualitative methods in differential equations with emphasis on applications in physics.
Úvod do kvantovej mechaniky / Ján Pišút, Ladislav Gomolčák, Vladimír Černý. Bratislava : Alfa, 1983
Zbierka úloh z kvantovej mechaniky / Ján Pišút, Vladimír Černý, Peter Prešnajder. Bratislava : Alfa, 1985
D.J.Griffiths: Introduction to Quantum Mechanics, 2ed, Pearson Education Inc, 2005
1-FYZ-310 Kvantová teória (1)
Continuous assesment: homework problem sets, exam
Slovak, English
Perturbation theory for degenerate states. Applications: Stark effect and Zeeman effect for hydrogen atom. Variational method. Scattering. Born approximation. Partial waves. Optical theorem. Scattering of identical particles. Charged particle in an electromagnetic field. Gauge symmetry in quantum mechanics. Time-dependent perturbation theory. Harmonic perturbation. Fermi's golden rule. Einstein's relations for spontaneous and stimulated emission. Mathematical formalism of quantum mechanics. Pictures for time evolution of wave functions and operators. Density matrix. Rotation and angular momentum. Irreducible representations of SU (2), or rotation group SO (3).
100/0
Learning the basic ideas of quantum mechanics and limitations of macroscopic classical physics. Acquiring knowledge of elementary mathematical formalism and problem solving skills. Developing physics thinking required to control quantum systems.
Partial differential equations / Lawrence C. Evans. Providence: American Mathematical Society, 1998
Partial differential equations: An introduction / Walter A. Strauss. Hoboken: Wiley, 2008
Mathematical Physics: Basic Equations and Special Functions / Vasily Yakovlevich Arsenin; translated by Jozef Kačur. Bratislava: Alfa, 1977
Interim assessment: During the semester, there will be two written examinations for a total of 32 points. The student gets the next 18 points for working on the exercises according to the instructions of the assistant professor who leads them.
Exam: The exam consists of a written and an oral part.
Indicative assessment scale: A 92%, B 84%, C 76%, D 68%, E 60%
Slovak, English
1. First order linear PDR (method of characteristics)
2. Wave equation - d´Alambert's formula, Kirchhoff's formula, Duhamel's principle
3. Heat conduction equation
4. Method of separation of variables
5. Laplace equation
50/50
The graduate of this course has knowledge of the classical theory of basic types of partial differential equations and is able to use them to solve specific problems of linear PDR.
Slovak, English
Each week a lecture from one of the modern directions of research at the faculty.
100/0
The student will have an overview of modern research at FMFI UK, which will allow him to decide in which area of physics he wants to continue his master's degree, or to gain a broader view of physics.
The current textbooks recommended by the course teacher.
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
Support exercise for the course Mathematics (1):
Real numbers, sequences and their limits, functions of real variables and their limits, continuity and properties, differentiability and properties of differentiable functions, investigation of the course, primitive function, integral, methods of calculation of indefinite integrals (substitution, per partes), integration: rational, trigonometric and some irrational functions.
Giving a sufficient number of suggestions for homework and consulting solutions to these tasks.
100/0
The student will learn the basics of differential and integral calculus of functions of one real variable.
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
Support exercise for the course Mathematics (2):
Riemannian definite integral, its properties and calculation using indefinite integrals, improper integrals, numerical infinite series. Functional sequences and series. Uniform convergence and its applications. Potential series and Taylor series.
Giving a sufficient number of suggestions for homework and consulting solutions to these tasks.
100/0
The student will learn the basics of differential and integral calculus of functions of one real variable in parts: infinite series and Riemann integral.
Kluvánek, Mišík, Švec, Matematika II, Alfa: Bratislava
Eliáš, Horváth, Kajan, Šulka, Zbierka úloh z vyššej matematiky (4), SNTL: Bratislava
Demidovič, Zbírka úloh z matematické analysy, Praha
Demetrian, Fourierove rady a Fourierov integrál, Univerzita Komenského v Bratislave
Active participation in the subject.
Grades: A (100-91), B (90-81), C (80-71), D (70-61), E (60-51), Fx (50-0).
Slovak, English
Support exercise for the course Mathematics (3):
Line integrals and potential of vector functions. Area integrals, Stokes and Gauss formulas. Parameter dependent integrals, their analytical properties. Euler integrals. Fourier series, convergence theorems, applications in linear diffusion theory. Fourier transform basic properties of Fourier transform, convergence of Fourier integral.
Giving a sufficient number of suggestions for homework and consulting solutions to these tasks.
100/0
The student will have an overview of the use of curve and area integrals, potential theory. He will become actively acquainted with the methods and use of parametric integrals. He will actively control the work with Euler integrals. He will get acquainted with Fourier series and their use in solving physical problems of diffusion and potential theory.
M. Demetrian, Základy teórie funkcií komplexmej premennej - exercises
1-FYZ-215 Mathematics (3)
Final evaluation based on the semestral evaluation from mandatory subject Mathematics 4 and attendance. 100 - 90 % A 89 - 80 % B 79 - 70 % C 69 - 55 % D 54 - 40 % E less than 40 % FX
slovak, english
Complex numbers, complex plane. Stereographic projection. Paths, curves. Connected and linearly connected sets. The concept of convergence, limits, continuity and differentiability of functions of a complex variable. Conformal mappings. Curve integral of a function of complex variable. Closed paths integration theorems. Taylor and Laurent series. Properties of holomorphic functions. Isolated singular points of holomorphic functions. Residues and calculation of improper integrals. The argument principle and Rouche's theorem. Open mapping theorem.
100/0
The student will be familiar with the methods and applications of the theory of functions of a complex variable.
Linear Algebra and Geometry: A Journey of Three Dimensions with Overlaps in Related Fields / Pavol Zlatoš. Bratislava: Albert Marenčin, 2011; electronic version available at http://thales.doa.fmph.uniba.sk/zlatos/la/LAG_A4.pdf
It is a supplementary exercise to "Algebra and Geometry (1)".
Linear Algebra and Geometry: A Journey of Three Dimensions with Overlaps in Related Fields / Pavol Zlatoš. Bratislava: Albert Marenčin, 2011; electronic version available at http://thales.doa.fmph.uniba.sk/zlatos/la/LAG_A4.pdf
It is a supplementary exercise to "Algebra and Geometry (1)".
Feynmanovy přednášky z fyziky s řešenými příklady 1/3 / Richard P. Feynman, Robert B. Leighton, Matthew Sands. Havlíčkův Brod : Fragment, 2001
Feynmanovy přednášky z fyziky s řešenými příklady : 2/3 / Richard P. Feynman, Robert B. Leighton, Matthew Sands. Havlíčkův Brod : Fragment, 2006
Úlohy predchádzajúcich ročníkov fyzikálnych súťaží.
Work during semester: homework and problem solution in the class.
Weight of the exam: 0%.
Slovak, English
The course is aimed at solving physics problems of various topics and difficulty. Sometimes those are problems that illustrate a specific approach to a class of physics problems, sometimes they are more aimed at recalling basics procedures in some area of physics. The main difference from the standard exercise sessions is that the problems come without any context of a particular subject and topics, thus the best approach to solving the problem is not given.
In the first installment of this class we look at topics from the first three semesters.
http://davinci.fmph.uniba.sk/~tekel1/teaching_metody.html
100/0
Students will learn how to approach problems without any context of a given topic in the particular class. They will refresh the basic ideas and approaches from the first three semesters of the program, which are common across the areas of physics, and will learn several new ones.
Feynmanovy přednášky z fyziky s řešenými příklady 1/3 / Richard P. Feynman, Robert B. Leighton, Matthew Sands. Havlíčkův Brod : Fragment, 2001
Feynmanovy přednášky z fyziky s řešenými příklady : 2/3 / Richard P. Feynman, Robert B. Leighton, Matthew Sands. Havlíčkův Brod : Fragment, 2006
Problems from various physics exams and competitions.
Work during semester: homework and problem solution in the class
Weight of the exam: 0%.
Slovak, English
Similar to the first installment of the class, but with emphasis on more complicated topics from the first three semesters of the program, topics from the fourth semester and in the later stages also from the fifth semester.
http://davinci.fmph.uniba.sk/~tekel1/teaching_metody.html
100/0
Students will learn how to approach problems without any context of a given topic in the particular class. They will refresh the basic ideas and approaches from the fourth and partly fifth semesters of the program, which are common across the areas of physics, and will learn several new ones.
An introduction to the Sun and Stars / S. Jocelyn Bell Burnell ... [et al.]. Cambridge: Cambridge University Press, 2004
An introduction to the solar system / Philip A. Bland ... [et al.]. Cambridge: Open university, 2004
Fundamentals of Astronomy and Astrophysics / Vladimír Vanýsek. Prague: Academia, 1980
Solar System Physics / M.Brož, M. Šolc. Matfyzpress, 2013
Continuous Assessment (100%): home assignments 40points, test 60points
Approximate scale of final grades: A 91%, B 81%, C 71%, D 61%, E 51%
Continuous Assessment / Final Examination: 100/0
Slovak, English
Subject of astronomy; coordinate systems, transformations of coordinate systems; time and calendar, types of time, refraction, aberration, parallax, precession, nutation, self - movement of stars, position reductions, catalogs and yearbooks; two-body problem, equations of motion, Kepler's laws, velocities, anomalies, Kepler's equation, trajectory elements; solar system - structure, geocentric orbits, physical characteristics of solar system bodies - methods of determination, inner planets, Earth-Moon, outer planets, small bodies of the solar system - comets, asteroids, meteorites, meteors, interplanetary dust; formation and development of the solar system. Radiation in astrophysics. Boltzman's equation, Sah's equation. Magnitudes of stars, Pogson's equation, temperature of stars, spectral classification, Herzsprung-Rusell diagram. Binary stars, determination of the mass of stars, rotation of stars, magnetic fields of stars. The relationship between mass and luminosity, determining the dimensions of stars. Variable stars. Interstellar matter - gas, dust, molecules. Galaxy and galaxy.
100/0
The student will gain basic knowledge of astronomy and astrophysics - the basics of spherical astronomy, celestial mechanics, the planetary system, the formation and evolution of stars, galaxies and galactic systems. After completing the course, students will be sufficiently prepared to continue in the master's degree in astronomy and astrophysics.
Základy fyziky plazmy : Učebný text pre magisterské štúdium / Viktor Martišovitš. Bratislava:Univerzita Komenského, 2006
Fundamentals of plasma physics / J. A. Bittencourt. New York: Springer, 2004
Basic plasma physics: Selected chapters. Handbook of plasma physics. Volumes 1 and 2 / editorsA. A. Galeev, R. N. Sudan. Amsterdam: North-Holland, 1989
Continuous assessment: no
Final: test, exam
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
1. Plasma - 4th state of matter, natural occurrence of plasma, "quasineutrality" of ionized gas, methods of plasma generation (various types of electric discharges in gases), application of glow, corona and arc discharges.
2. Debye-Hückel theory of charge shielding: collective phenomena of particles, plasma polarization, shielding of el. field of inserted charge, shielded potential, Debye length, Debye sphere - ideal, non-ideal plasma.
3. Plasma charge fluctuation, quasi-neutrality of plasma, exact definition of plasma; plasma oscillations, plasma frequency.
4. Elastic and inelastic collisions of particles in plasma, mean free path of gas particles, collision frequency, effective collision cross section, reaction coefficient, elementary processes in plasma.
5. Excitation and ionization by electron-ion interaction, differential ionization, particle ionization collision cross section; radiation ionization and excitation, resonant radiation, diffusion of radiation, radiation absorption, effective photon collision cross section; thermal ionization and excitation, degree of ionization, Saha equation, binary gas, degree of excitation and Boltzmann's law.
6. Dissociative ionization, Townsend (first) ionization coefficient, ionization function, Wannier equation; negative ion formation, electron affinity, electronegative and electropositive gases, dissociative attachment, three-particles attachment, transient negative ion (TNI); reaction coefficient, reduced el. field.
7. Particle recombination - spatial, on electrodes, on the wall (conductive, non-conductive); negative ion extinction; spatial recombination, recombination factor of electrons with positive ions.
8. The movement of particles in el. field (drift), charged particle mobility, drift velocity; particle motion under the influence of concentration gradient (diffusion), Fick's law, Einstein's relation; Ambipolar diffusion.
9. Statistical theory of el. discharges, statistical model of electron avalanches, statistical model of el. discharges.
10. Streamer concept, Boltzman kinetic equation and Monte Carlo method.
11. El. Discharges at high pressure, corona discharge, corona discharge in applied electrostatics, primary and secondary streamer.
12. Dielectric barrier discharges, glow discharges at atmospheric pressure, surface activations of polymeric materials in various types of el. discharges.
13. Spark and arc discharge, el. discharges in liquids.
14. Plasma diagnostics, single and double probe (determination of electron concentration and temperature), optical emission spectroscopy, atomic spectra (determination of electron temperature from the ratio of intensity of spectral lines), molecular spectra (determination of rotational temperature spectra), actinometry, laser absorption spectroscopy, corpuscular spectroscopy, CRDS spectroscopy.
15. Examples of plasma application use: in metallurgy, in surface treatment of materials, environmental protection, light sources, thermonuclear fusion.
During the practical part of subject, computational tasks on the topic will be solved and additional (time-consuming) mathematical definitions of some physical relations and laws of lectures will be performed. Students will gain and acquire knowledge of the basics of modeling in plasma physics, and within the demonstration experiments of individual electric discharges, they will actually get acquainted with the instrumentation of laboratories. They will also get acquainted with diagnostic methods used in plasma physics - optical emission spectroscopy, probe methods, microwave methods, mass spectroscopy.
0/100
In the course, students will gain basic knowledge of plasma physics and electrical discharges, which are necessary for successful completion of the bachelor's thesis in the area. After completing the course, students will be able to easily orient themselves in the studied issues, as they will have basic knowledge about plasma, its occurrence, generation methods, mechanisms of electric discharges, their application and plasma diagnostics. Upon successful completion of the course, students will be knowledge-ready for a possible master's degree in Plasma Physics.
http://www.st.fmph.uniba.sk/~hlubina1/
Condensed matter physics : Corrected printing / Michael P. Marder. John Wiley, 2000
Solid-State Physics / H. Ibach, H. Lüth. Springer, 2003
Úvod do fyziky pevných látek / Charles Kittel. Academia, 1985
Continuous assessment: homework, 2 papers
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
Symmetry classification of substances. Van der Waals-London bond. Liquid-gas transition. Crystals with van der Waals and ionic bonding. Basics of crystallography. Surface tension and nucleation. Diffraction experiments and reciprocal space. Classical and quantum lattice oscillations theory. Metal binding. Chemical bonding. Electron spectrum in an ideal crystal: tight bond method, Bloch's theorem, difference between metals and insulators. Transport phenomena: phenomenological description, Boltzmann's equation. Semiconductors and semiconductor electronics. Response to time-varying fields. Elementary models of dielectric function.
Weight of the intermediate / final evaluation: 100/0
After completing the course, students will be actively acquainted with the following basic concepts of solid state physics: ideal crystal, reciprocal space, phonon spectrum, electron band structure and Fermi surface. They will also know how these concepts enter into the simplest analyzes of the thermal, electrical and optical properties of solids.
William Gropp, Ewing Lusk, Anthony Skjellum: Using MPI: Portable Parallel Programming with the Message-Passing Interface, MIT Press, 2014.
Chapman, Barbara; Jost, Gabriele, Pas, Ruud van der: Using OpenMP: portable shared memory parallel programming, MIT Press, 2008.
Richard Blum; Christine Bresnahan: Linux Command Line and Shell Scripting Bible, Wiley, 2021.
Jaegeun Han, Bharatkumar Sharma: Learn CUDA Programming: A beginner's guide to GPU programming and parallel computing with CUDA 10.x and C/C++, Packt Publishing, 2019.
Interim evaluation: elaboration of tasks
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
SK, EN
Linux/Unix, scripting. Command interpreters, shell, remote access.
Computer architectures, sequential, vector, shared and distributed memory, symmetrical and asymmetric multiprocessing, NUMA, ccNUMA, GPU architecture. Grid.
Parallel programming models, Message Passing Interface (MPI), Application Program Interface (OpenMP). Basics of MPI, MPI implementation, OpenMP basics. GPU programming (CUDA).
Examples of high-performance computing.
100/0
The student will acquire basic knowledge and skills in the field of high-performance computing and parallel programming.
Lectures.
Continuous assessment based on discussions.
Slovak
1. How the Earth originated and what is its internal structure.
2. Tides and dynamics of Earth-Moon coexistence.
3. Seismic waves and the most precise physical model of the Earth.
4. Why has the Earth its magnetic field? What will be the magnetic field in future like?
5. Electric currents in the Earth and its surroundings. Electromagnetic sounding of the Earth.
6. Measurements of physical parameters - from archeologic findings to the deep Earth's interior.
7. Excursion
8. Earthquakes, tsunami and seismic hazard.
9. Earthquakes induced by human activity and the increase of seismic hazard.
10. Aurora, ionosphere and magnetosphere of the Earth and planets.
11. Electromagnetic rezonances in the Earth's atmosphere.
12. Sources of heat and heat flux in the Earth. Is the Earth going to overheat or is it growing cold?
100/0
Students will gain basic knowledge about the structure and physical processes in the Earth and the surrounding space. The explanation of these processes will be based on the knowledge gained in basic physics courses (mechanics, electricity and magnetism, electromagnetic field theory, thermodynamics).
Introductory nuclear physics / Kenneth S. Krane. Hoboken : Wiley, 1988
Introductory nuclear physics / P. E. Hodgson, E. Gadioli, E. Gadioli Erba. Oxford : Oxford University Press, 1997
Nuclear and particle physics / B. R. Martin. Chichester : John Wiley , 2006
Evaluation during the semester: midterm test
Final evaluation: oral exam
Scale for final grades: A 90%, B 80%, C 70%, D 60%, E 50%
Properties of atomic nuclei. Basic nuclear models, the binding energy of atomic nuclei. Stability and decay of radioactive nuclei. Radioactive decay law. Alpha and beta decay. Nuclear fission. Interaction of charged particles and their detection.
Radioactivity in nature. Basic nuclear reactions. Production of unstable radioactive isotopes and their separation. Particle accelerator.
Elementary particles (leptons, quarks, interactions, unification theory). Quark model, QCD.
Basic astrophysical reactions. Nuclear fusion.
The student gains the basic understanding of the nuclear and particle physics, for example, basic properties of atomic nuclei, their radioactive decay, nuclear reactions and basic properties of elementary particles.
Differential geometry and Lie groups for physicists / Marián Fecko. Cambridge : Cambridge University Press, 2006
Crampin,Pirani: Applicable differential geometry, CUP 1986
Continuous assessment: homework
Examination: two written exams during the semester
Indicative rating scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
Fundamentals of analysis on manifolds (tensor fields, Lie derivatives, Killing fields, ...) and introduction to the theory of Lie groups and Lie algebras and their representations. Group actions, homogeneous spaces.
http://davinci.fmph.uniba.sk/~fecko1/studenti.html
100/0
After completing the course, students will be able to use the material contained
in the Brief syllabus.
Laserová spektroskopia / Zuzana Chorvátová. Bratislava : Univerzita Komenského, 1992
Laser spectroscopy : Basic concepts and instrumentation / Wolfgang Demtröder. Berlin : Springer, 1981
Optics and lasers : Including fibers and optical waveguides / Matt Young. Berlin : Springer, 2000
1-FYZ-218/22 Optics (Physics 2/S), or 1-UFY-210/00 Waves and Optics (Physics Teacher Training in combination 2/S), or 1-TEF-205 Optics (Technical Physics 2/S)
or 1-FYZ-211/17 Electromagnetism and Optics (Physics 2/W)
Final evaluation:
Examination: oral / written
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak and English.
Electromagnetic radiation and properties. Spectral areas from vacuum UV to IR area. Optical properties of materials. Spectrometers (prismatic, grating, echelle). Interferometers. Optical fibers. Detectors (photodiode, CCD, iCCD, EMCCD, photomultiplier). Spectral sensitivity calibration methods. Radiation sources. Lasers (laser principle, optical resonator, best known lasers and special laser systems). Properties of laser radiation. Examples of laser applications. Energy and wave dispersive X-ray spectroscopy; X-ray scattering, diffraction, reflectivity and microscopy; Free electron synchrotron radiation and laser; THz radiation, its sources and detection, THz spectroscopy.
0/100
The student will gain basic knowledge of optics, spectrometers, interference and scattering techniques. detectors, lasers and their use.
Laserová spektroskopia / Zuzana Chorvátová. Bratislava : Univerzita Komenského, 1992
Laser spectroscopy : Basic concepts and instrumentation / Wolfgang Demtröder. Berlin : Springer, 1981
Optics and lasers : Including fibers and optical waveguides / Matt Young. Berlin : Springer, 2000
1-FYZ-218/22 Optics (Physics 2/S), or 1-UFY-210/00 Waves and Optics (Physics Teacher Training in combination 2/S), or 1-TEF-205 Optics (Technical Physics 2/S)
or 1-FYZ-211/17 Electromagnetism and Optics (Physics 2/W)
Ongoing evaluation:
Examination: oral / written
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak and English.
Principles of radiation interaction with particles. Einstein coefficients. Basic principles of absorption and emission / excitation spectroscopic methods. Absorption and emission line, its profile and extension. Instrumentation (radiation sources, dispersive elements, interferometers, detectors,…). Comparison of classical and laser spectroscopic methods, explanation of why it is advantageous to use a laser. Absorption path extension, optical resonator. Laser - in terms of its usability in spectroscopy. Classical absorption methods (UV-Vis, IR) in comparison with laser (intercavity laser induced spectroscopy, cavity enhanced absorption spectroscopy, cavity ring down spectroscopy), optical plasma emission spectroscopy, classical and laser fluorescence spectroscopy, laser photoionization spectroscopy. Raman spectroscopy and its comparison with Coherent-Antistokes Raman Scattering spectroscopy.
0/100
After completing the course, students will have knowledge of several laser spectroscopic methods and their advantages over classical spectroscopic methods. They will know in which applications these methods can be used.
Atkins P, Friedman R (2005) Molecular Quantum Mechanics Fourth Edition
Szabo A, Ostlund NS Modern Quantum Chemistry
Continuous assessment: homework
Exam: oral
The evaluation of the subject takes place in the form of continuous (individual work) and final evaluation (oral exam). Successful completion of the course reflects the student's sufficient orientation in the issue. The course will be graded as provided the student demonstrates compliance with at least 51%. The conditions for successful completion of the course are in accordance with the Study Regulations of FMFI UK
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 51%
Slovak in combination with English (study literature also in English)
Standard molecular Hamiltonian. Atomic system of units. Born - Oppenheimer approximation. Potential energy surface (curve). Solution of the electron Schrodinger equation MO-LCAO approximation. Electron repulsion - model of independent particles. Huckel approximation, Hartré approximation, Hartree-Fock approximation, Coulomb and exchange integral.Practical applications for solving the structure of molecules.
Nuclear Schrodinger equation, its solution for diatomic molecules. Model rigid rotor-harmonic oscillator, separation of vibrational and rotational motion fault processing of their interaction. Practical demonstration - calculation of spectroscopic constants of a selected diatomic molecule. Rotation of polyatomic molecules, rotational levels, rotational constants. Vibrations of polyatomic molecules - vibrational levels, normal modes.
Symmetry of molecular systems. Dynamic aspects of molecular systems. Transit state methods, collision theory, quasiclassical trajectory method.Environmental influence - methods of solvation description. Methods considering dielectric continuum and non-methods considering discrete solvent.
Weight of the intermediate / final evaluation: 30/70
Understand the importance of quantum mechanical description of substances at the molecular level - the basis of theoretical approaches to the study of their reactions.
Subject of interest - quantum mechanical description of molecules and their aggregates. To master the practical tasks of solving the electron shell of molecules using current methods of quantum chemistry.
Exam: State exam
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
State exam consisting of two blocks:
1. Block of classical physics (mechanics, electromagnetism, optics)
2. Block of quantum physics (quantum theory, statistical physics of thermodynamics)
A detailed syllabus is on the faculty website.
0/100
Passing the state exam
Continuous assessment: According to the progress of the bachelor thesis project based on the assessment of the supervisor.
Slovak, English
According to the assignment of the bachelor's thesis and the instructions of the supervisor
100/0
Elaboration of bachelor thesis and its defense.
Basic practising and improving of locomotive faculties in the particular chosen sports. Developing harmonic personality in the sense of "kalokagatia" - cultivate his/her mental and physical values.
Grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
Introduction to the basic history of the selected sport, with the basic principles of compensation of one-sided psychological burden of the individual's body. Development of basic motor skills with a stop to all kinds of endurance, coordination, increasing the level of joint mobility. Training of individual game activities in collective sports games. In individual sports disciplines, practice of basic techniques of individual elements.
100/0
Orientation in the history of the selected sports discipline, mastering the basic principles of compensation of mostly mental burdens of the individual. Creating a positive, lasting relationship to physical education and sports in the sense of calocagation. Mastering the demands for the development of motor abilities, skills, proper technique of performing individual movements in individual sports, individual game activities in collective sports games.
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 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.
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.
Acquisition and improving of locomotive faculties in the particular sport. Development of the harmonic personality in the intention of "kalokagatia". To build up and increase resilience of the youth against different vicious and dangerous factors.
Grades: A 90%, B 80%, C 70%, D 60%, E 50%
Slovak, English
Completing a positive lasting relationship to physical education and sport. Development of motor skills with a focus on the development of strength, with an emphasis on dynamic strength and endurance in strength. In collective sports games, improving individual game activities, practicing basic game combinations, playing with modified rules, tasked games. In individual sports disciplines, the development of motor abilities and skills necessary for the acquisition of more complex elements of lower difficulty techniques.
100/0
Addressing a positive and lasting relationship with physical education and sport by understanding the importance of physical development and maintaining its optimal level throughout life. The use of strength and other motor skills to more rationally manage the game activities of the individual, while improving the acquisition of more complex elements of technology. In everyday life in providing basic necessities.
The objective of the subject is to provide the students with experience and knowledge of technical English and thus make them ready to use English sources of information for later study and professional career.
Anglický jazyk pre študentov FMFI UK : Kurz pre mierne pokročilých / Alena Zemanová.
Učebnica je nepublikovaná, k dispozícii v elektronickej podobe na webovej stránke KJP.
Anglický jazyk pre študentov FMFI UK : Aplikovaná matematika / Alexandra Maďarová, Ľubomíra Kožehubová.- učebnica publikovaná online
Anglický jazyk pre študentov FMFI UK : Matematika: Alexandra Maďarová, Eva Foltánová.
Učebnica je nepublikovaná, k dispozícii v elektronickej podobe na webovej stránke KJP.
Anglický jazyk pre študentov FMFI UK : Fyzika / Alena Zemanová.
Učebnica je nepublikovaná, k dispozícii v elektronickej podobe na webovej stránke KJP.
Anglický jazyk pre študentov FMFI UK : Informatika / Elena Klátiková.
Učebnica je nepublikovaná, k dispozícii v elektronickej podobe na webovej stránke KJP.
test, essay, presentation
Grades: A 93%, B 85%, C 77%, D 70%, E 65%
Course prerequisites:
https://fmph.uniba.sk/microsites/kjp/katedra-jazykovej-pripravy/poziadavky-na-udelenie-priebezneho-hodnotenia-aj1aj2aj3-ostatne-kurzy/
Slovak, English
On entering the first semester, students´ knowledge of English is tested and they are divided into groups according to the results of the placement test. In the groups of pre-intermediate and intermediate students, fundamentals of technical English are taught. Advanced students take classes of technical English for their field of study: English for mathematics, for physics, for computer science, English for management and economic and financial mathemathics.
100/0
The objective of the subject is to provide the students with experience and knowledge of technical English and thus make them ready to use English sources of information for later study and professional career.
The objective of the subject is to provide the students with experience and knowledge of technical English and thus make them ready to use English sources of information for later study and professional career.
Anglický jazyk pre študentov FMFI UK : Kurz pre mierne pokročilých / Alena Zemanová.
The textbook has not been published. It is at students' disposal in an electronic format.
test, essay, presentation
Grades: A 93%, B 85%, C 77%, D 70%, E 65%
Course prerequisites:
https://fmph.uniba.sk/microsites/kjp/katedra-jazykovej-pripravy/poziadavky-na-udelenie-priebezneho-hodnotenia-aj1aj2aj3-ostatne-kurzy/
Slovak, English
This is a continuation of the course English (1) designed for pre-intermediate students. Fundamental vocabulary is presented through selected topics in mathematics, physics and informatics. The lessons also contain revision of elementary grammar. Generally, it is a necessary preliminary to advanced programs.
100/0
The objective of the subject is to provide the students with experience and knowledge of technical English and thus make them ready to use English sources of information for later study and professional career.
Study materials are created by the teacher and available in electronic form.
Raymond Murphy: Essential Grammar in USe, Cambridge University Press, 1998
Michael McCarthy, Felicity O'Dell: English Vocabulary in Use, Cambridge University Press, 1994
tests, homework
English
Texts dealing with the most important topics for FMPI majors combining grammar revision with vocabulary needed to pass the A4 English exam.
100/0 credit - ongoing evaluation
Minimum 65 percent of the total points for the assigned work is needed to pass the course. Points can be awarded for attendance, completed homework tasks, and short tests assigned during the course.
A 100-93 %
B 92-85 %
C 84-77 %
D 76-70 %
E 69-65 %
Course prerequisites:
https://fmph.uniba.sk/microsites/kjp/katedra-jazykovej-pripravy/poziadavky-na-udelenie-priebezneho-hodnotenia-aj1aj2aj3-ostatne-kurzy/
Study materials are created by the teacher and available in electronic form. Raymond Murphy: Essential Grammar in USe, Cambridge University Press, 1998 Michael McCarthy, Felicity O'Dell: English Vocabulary in Use, Cambridge University Press, 1994
tests, homework
English
Texts dealing with the most important topics for FMPI majors combining grammar revision with vocabulary needed to pass the A4 English exam.
100/0 EN
credit - ongoing evaluation Minimum 65 percent of the total points for the assigned work is needed to pass the course. Points can be awarded for attendance, completed homework tasks, and short tests assigned during the course. A 100-93 % B 92-85 % C 84-77 % D 76-70 % E 69-65 %
Course prerequisites:
https://fmph.uniba.sk/microsites/kjp/katedra-jazykovej-pripravy/poziadavky-na-udelenie-priebezneho-hodnotenia-aj1aj2aj3-ostatne-kurzy/
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.
By means of physical education and sports to effectively act and advance a physical ability, fitness, performance and health of students.
Slovak, English
To practise game combinations, tactical - mechanical elements in basketball, volleyball, soccer, floorball, ice hockey, badminton, competition rules in the sports specialization.
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 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.
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 material 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.
To strengthen the procedural side of the physical education and sports with the emphasis on health and psychological value as well as to enhance the physical condition of students.
Slovak, English
Preparation for sport championships of the Faculty in the chosen sport at modified rules. The selection of talented students into the teams of the University and Faculty leagues and other faculty sport events.
100/0
The objective of the classes is to provide the students with knowledge of technical English in their field of study and experience with technical English sources sufficient to make the able to use technical language for their later study and professional purposes.
Anglický jazyk pre študentov FMFI UK : Kurz pre mierne pokročilých / Alena Zemanová.
Učebnica je nepublikovaná, k dispozícii v elektronickej podobe na webovej stránke KJP.
Anglický jazyk pre študentov FMFI UK : Aplikovaná matematika / Alexandra Maďarová, Ľubomíra Kožehubová.- učebnica publikovaná online
Anglický jazyk pre študentov FMFI UK : Matematika: Alexandra Maďarová, Eva Foltánová.
Učebnica je nepublikovaná, k dispozícii v elektronickej podobe na webovej stránke KJP.
Anglický jazyk pre študentov FMFI UK : Fyzika / Alena Zemanová.
Učebnica je nepublikovaná, k dispozícii v elektronickej podobe na webovej stránke KJP.
Anglický jazyk pre študentov FMFI UK : Informatika / Elena Klátiková.
Učebnica je nepublikovaná, k dispozícii v elektronickej podobe na webovej stránke KJP.
test, essay/presentation
Grades: A 93%, B 85%, C 77%, D 70%, E 65%
Course prerequisites:
https://fmph.uniba.sk/microsites/kjp/katedra-jazykovej-pripravy/poziadavky-na-udelenie-priebezneho-hodnotenia-aj1aj2aj3-ostatne-kurzy/
Slovak, English
The subject continues the program of English (2). Students take classes of special English for their field of study: English for mathematics, English for physics, English for computer science, English for management and economic and financial mathemathics.
The subject requires advanced knowledge of general English.
100/0
The objective of the classes is to provide the students with knowledge of technical English in their field of study and experience with technical English sources sufficient to make the able to use technical language for their later study and professional purposes.
The objective of the classes is to provide the students with knowledge of technical English in their field of study and experience with technical English sources sufficient to make them able to use technical language for their later study and professional purposes.
Anglický jazyk pre študentov FMFI UK : Kurz pre mierne pokročilých / Alena Zemanová.
Učebnica je nepublikovaná, k dispozícii v elektronickej podobe na webovej stránke KJP.
Anglický jazyk pre študentov FMFI UK : Aplikovaná matematika / Alexandra Maďarová, Ľubomíra Kožehubová.- učebnica publikovaná online
Anglický jazyk pre študentov FMFI UK : Matematika: Alexandra Maďarová, Eva Foltánová.
Učebnica je nepublikovaná, k dispozícii v elektronickej podobe na webovej stránke KJP.
Anglický jazyk pre študentov FMFI UK : Fyzika / Alena Zemanová.
Učebnica je nepublikovaná, k dispozícii v elektronickej podobe na webovej stránke KJP.
Anglický jazyk pre študentov FMFI UK : Informatika / Elena Klátiková.
Učebnica je nepublikovaná, k dispozícii v elektronickej podobe na webovej stránke KJP.
Examination: an examination consisting of a written and an oral part.
Grades: A 93%, B 85%, C 77%, D 70%, E 65%
Course prerequisites:
https://fmph.uniba.sk/microsites/kjp/katedra-jazykovej-pripravy/skuska-z-predmetu-anglicky-jazyk-4/
Slovak, English
Students take classes of special English for their field of study: English for mathematics, English for physics, English for computer science, English for management and economic and financial mathemathics.
0/100
After completing the course, students will be able to work independently with professional literature in English
written and oral examination
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.
To optimize the programmes of the sport recreational activities as a basic precondition of health strengthening, acquirement of physical capability, fitness, regaining of working energy and readiness of body to confront stress situations and dangerous factors.
Slovak, English
Preparation and participation of individuals and teams in the system of university sport competitions and sport events.
100/0
To mediate information and instructions from different fields of physical education and sports to students, to broaden know-how of sport performance in free time.
Slovak, English
Using the communication in the physical education and sport and organizing the sport championships to achieve expressive motion of the sport and health in a valuable orientation the students.
100/0
- Lechta, V. (ed): Inkluzivní pedagogika. Praha: Portál, 2016, ISBN 978-80-262-1123-5
- Slowík, J.: Komunikace s lidmi a postižením. Praha: Portál, 2010, ISBN 978-80-7367-691-9
- Kol. autorov: Od integrácie k inklúzii. VÚDPaP: Bratislava, 2018, ISBN 978-80-89698-27-1
Continuous assessment: active participation in class (elaboration of assigned tasks, participation in discussions)
An exam: -
Indicative assessment level: e.g. A 90%, B 80%, C 70%, D 60%, E 50%
Slovak
- Characteristics of basic concepts.
- Disability models.
- Disability legislation.
- Human, communication, information and architectural barriers.
- Impact of disability on education.
- Segregation - integration - inclusion.
- Information access technologies for people with disabilities.
- Possibilities and limits of creating equal conditions for the education of pupils with specific educational needs.
- Inclusive school - education for all.
- The importance of education for the social inclusion of people with disabilities.
100/0
The student:
- They will get acquainted with the basic characteristics of types of health disadvantage (HR) and will know the consequences of HR on education.
- Gain personal experience from meetings with people with disabilities and will be able to explain and apply the rules of communication with them.
- Can characterize the forms of education of students with SEN and assess the possibilities of their pedagogical, technical and human support, which positively affect the success of education.
The art of electronics / Paul Horowitz, Winfield Hill. New York : Cambridge University Press, 1989
Continuous assessment: work on practical exercises (100%). The condition for granting credits is the presentation of a semester project.
Indicative assessment scale: A 90%, B 80%, C 70%, D 60%, E 50%
English
Semiconductor diode and transistor and their basic connections. Transistor in switching mode, TTL digital circuits and their use. Basic logic circuits. Comparator. Timer 555. D / A and A / D converters. Arduino microprocessor system. Nodal potential method. Analysis of linear circuits in time and frequency domain. Linear model of transistor and operational amplifier. Basic circuits with operational amplifier. Positive feedback and oscillator principles. Power supplies and rectifiers.
http://davinci.fmph.uniba.sk/~kundracik1/elektronika/
100/0
The student will understand the principles of using basic building blocks (resistor, inductance, capacitance, diode, transistor) in digital and analog circuits. They will understand the principles and use of basic digital and analog circuits (gates, counters, timers, operational amplifier, A / D and D / A converters, Arduino microprocessor system), principles of generating harmonic and non-harmonic signals and linear and pulse power supplies. They will be able to analyze basic circuits and use them to design simple electronic circuits with the required functionality. He will also gain practical experience with the construction and revitalization of simple electronic circuits.
Special Relativity (Springer Undergraduate Mathematics Series) / Nicholas.M.J.Woodhouse, Springer-Verlag Berlin Heidelberg 1992;
Dynamics and relativity (University of Cambridge Part IA Mathematical Tripos), David Tong 2013;
During the semester, students receive homework that is not evaluated, but at the beginning of each lecture there will be a short paper with a similar assignment. To complete the course, it is necessary to obtain at least 50% of points.
Slovak, English
experiments leading to special theories of relativity, coordinate systems, relativity in classical mechanics, Minkowski space-time and space-time intervals, space-time diagrams, four-vectors and Lorentz transformations, theory of relativity and electromagnetism;
100/0
After completing the course, the student should understand in detail the basic concepts of the special theory of relativity.
- S. Russell: Human compatible. Artificial intelligence and the problem of control. Viking, 2019.
- J. Havens: Heartificial intelligence. Embracing our humanity to maximize machines. Penguin, 2016.
- P. Boddington: Towards a code of ethics for artificial intelligence. Springer, 2017.
- M. Shanahan: The technological singularity. MIT Press, 2015.
- C. MacKellar, C.: Cyborg Mind: What Brain–Computer and Mind–Cyberspace Interfaces Mean for Cyberneuroethics. Berghahn Books, 2019.
- G. Bel, J. Gemmell: Total Recall, How the e-Memory Revolution will change everything. Dutton, 2009.
- S. Zuboff: The Age of Surveillance Capitalism: The Fight for a Human Future at the New Frontier of Power. PublicAffairs, 2019.
- C. O'Neil: Weapons of Math Destruction: How Big Data Increases Inequality and Threatens Democracy. Crown Publishers, 2016.
- M. Tegmark: Life 3.0. Allen Lane, 2017.
Semestral evaluation: active participation
Final evaluation: essay
Weight of the final evaluation: 60%
To achieve an A, 90% is needed, for B at least 80%, for C 70%, for D, 60% and for an E, at least 50% of overall assessment.
English
Big data: privacy, politics and power,
Internet of things, it usefulness and threats,
Assistant AI and its place in future society,
Job market and inequality,
Enhancements and human rights and the right to change self and others,
Initiatives for responsible research,
Artificial minds,
Hybridization between species and between AI and organic minds,
Future of minds and trans-humanism,
Artificial emotional intelligence,
An after human era.
http://dai.fmph.uniba.sk/courses/STH/
The students will gain awareness of the contemporary and potential future challenges posed by scientific and technological innovations and their impact on human behaviour, culture and society.