ASTRONOMY STUDY OF FIRST DEGREE COURSE...

FACULTY OF PHYSICS AND ASTRONOMY INSTITUTE OF ASTRONOMY

ASTRONOMYSTUDY OF FIRST DEGREE

COURSE DIRECTORY

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COURSE DIRECTORY

1. Fundamentals of physics III – Electricity and magnetism 32. Spherical astronomy and Astrometry 53. Instruments and methods of observational astronomy 64. Languages and paradigms of programming 75. Classical and relativistic mechanics 86. Observational methods and data analysis in Astronomy 107. Fundamentals of physics IV – Optics, modern physics 118. Physics of stars and dispersed matter 139. Natural sciences methodology 1510. Physics of stars and dispersed matter 1711. Foundations of Quantum physics 1812. Introduction to Time series analysis 2013. Scientific calculation and numerical methods 2214. GRADUATE (BACHELOR’s) SEMINAR 2315. Wstęp do astrofizyki obiektów zwartych 24

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F U N D A M E N TA L S O F P H Y S I C S I I I – E L E C T R I C I T Y A N D M A G N E T I S MF U N D A M E N TA L S O F P H Y S I C S I I I – E L E C T R I C I T Y A N D M A G N E T I S M

Course code: 13.2-WFiA-AST-PoF3-EM

Type of course: compulsory

Entry requi rements:Mathematical Analysis, Algebraical and Geometrical Methods in Physics, Fundamentals of Physics I and II

Language of instruct ion: Polish

Director of studies: dr hab. Anatol Nowicki, prof. UZ

Name of lecturer:Lecture - dr hab. Anatol Nowicki, prof. UZ

Class - dr Henryk Tygielski

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6Lecture 30 2III

Exam

Class 30 2 Grade

COURSE CONTENTS:Lecture: Electrostatic field in the vacuum.Electorstatic phenomena in dielectrics.The electric current.The magnetic field in a vaccum.The magnetic field in a matter.Electromagnetic induction.The Maxwell's equations.Electromagnetic oscillations and alternating current.

LEARNING OUTCOMES:The knowledge and understanding of electric and magnetic phenomena. Ability of solving tasks and problems in this field of physics.

ASSESSMENT CRITERIA:Lecture: passing an examination is a necessery condition of ranking the lecture.Classes: the preparation for classes and the activity on classes, positive marks from test works.

RECOMMENDED READING:1. D. Halliday, R. Resnick, J. Walker, Podstawy fizyki, t.3, PWN, Warszawa 2003.2. I.W. Sawieliew, Wykłady z fizyki, t.2, PWN, Warszawa 2002, (wyd.3).

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3. R. Resnick, D. Halliday, Fizyka, t. 2, PWN, Warszawa 1999.4. B. Jaworski, A. Dietław, L. Miłkowska, Kurs fizyki, t. 2, Elektryczność i magnetyzm, PWN,

Warszawa 1971.5. J. Walker, Podstawy fizyki. Zbiór zadań, PWN, Warszawa 2005.

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S P H E R I C A L A S T R O N O M Y A N D A S T R O M E T RYS P H E R I C A L A S T R O N O M Y A N D A S T R O M E T RY

Course Code: 13.7-WFiA-AST-EASA

Type of course: mandatory

Entry requi rements: Trigonometry. Physics of the Solar System. Physics of stars

Language of instruct ion: polish

Director of studies dr W. Lewandowski

Name of lecturer: dr W. Lewandowski


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4Lecture 30 2

3Written exam

Class 30 2 Grade

COURSE CONTENTS:1. Celestial sphere – description of motions, and movement of planets and Sun. Astronomical coordinate

systems. 2. Time in astronomy. 3. Proper motion. 4. Orbital motion of planets and asteroids as seen on celestial sphere. Assertion of orbital palameters of planets

and asteroids from astrometric measurements.

LEARNING OUTCOMES:Knowledge of methods used to describe phenomena on the celestial sphere. Basic understanding of spherical trigonometry.

ASSESSMENT CRITERIA:Lecture – written examClass – grade

RECOMMENDED READING:6. W. Opalski, L. Cichowicz, „Astronomia geodezyjna”, Państwowe Przedsiębiorstwo wydawnictw

Kartograficznych, 19807. J. Mietelski, „Astronomia w geografii”, PWN, 20098. A. Branicki: „Obserwacje i pomiary astronomiczne dla studentów, uczniów i miłośników astronomii”,

Wydawnictwa Uniwersytetu Warszawskiego, 2006

OPTIONAL READING:1. R.M. Green, „Spherical Astronomy”, Cambridge University Press 19992. W.M. Smart „Textbook on spherical astronomy”, Cambridge University Press

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I N S T R U M E N T S A N D M E T H O D S O F O B S E RVAT I O N A LI N S T R U M E N T S A N D M E T H O D S O F O B S E RVAT I O N A L A S T R O N O M YA S T R O N O M Y

Course Code: 13.7-WFiA-AST-IMOA

Type of course: mandatory

Entry requi rements: Basic knowledge of optics and properities of electromagnetic waves.





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3Lecture 30 2

LOral exam

Class 30 2 Grade

COURSE CONTENTS:1. Methods of astronomical observations – spectroscopy, photometry, astrometry. 2. Optical telescopes – active optics, adaptive optics, optical interferometry.3. Gamma and X-ray observations. 4. Satelite Gamma and X-Ray receivers.

LEARNING OUTCOMES:Knowledge of modern methods of astronomical observations, and instrumentation used.

ASSESSMENT CRITERIA:Lecture: oral examClass: Grade

RECOMMENDED READING:9. A. Branicki: „Obserwacje i pomiary astronomiczne dla studentów, uczniów i miłośników astronomii”,

Wydawnictwa Uniwersytetu Warszawskiego, 200610. J. Mietelski, „Astronomia w geografii”, PWN, 200911. H. Hurnik, „Instrumenty obserwacyjne astrometrii. Od gnomonu do CCD i interferometru optycznego”,

Wydawnictwo Naukowe UAM w Poznaniu, 2000

OPTIONAL READING:3. E. Rybka, „Astronomia Ogolna”, PWN, 1983

UWAGI:

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L AN G U AG E S AN D PAR AD I G M S O F P R O G R AM M I N GL AN G U AG E S AN D PAR AD I G M S O F P R O G R AM M I N G

Course code: 11.3-WFiA-AST-JPP


Entry requi rements: Basics of logics, basics of programming, basics of algorithms


Director of studies: Dr Olaf Maron

Name of lecturer:Lecture: dr Olaf Maron

Laboratory: dr Olaf Maron


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Lecture 30 24

Exam

Laboratory 30 2 Grade

COURSE CONTENTS:Syntax and semantics of programming languages. Imperative programming (vatiables, block structure, procedure calls, memory allocation in heaps and stacks, examples in C, Pascal, Fortran)Object oriented programming (classes as abstract data types, inheritance, polymorphism, examples in C++, Java)Functional programming (functions as a model of programming, type systems, recursion, examples in C, Pascal, Fortran)Programming in logics.

LEARNING OUTCOMES:Knowledge of Basic programming paradigms, imperative, object oriented, functional. Knowledge of common concepts and differences typical for the paradigms and languages used in the basic programming paradigms.

ASSESSMENT CRITERIA:Lecture: Passing the examLaboratory: passing 2 tests, attendance and activity in class

RECOMMENDED READING:1. A.V. Aho, J.D. Ullman Wykłady z informatyki z przykładami w języku C, Gliwice 2003, Helion.2. Lecture notes.3. Internet sources

OPTIONAL READING:

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C L AS S I C AL AN D R E L AT I V I S T I C M E C H AN I C S C L AS S I C AL AN D R E L AT I V I S T I C M E C H AN I C S

Course code: 13.2-WFiA-AST-MKiR


Entry requirements:

Principles of linear algebra. Principles of mathematical analysis: differentation of functions of many variables, partial derivatives, equations of the second order.




Class - dr Sylwia Kondej


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6Lecture 30 2IV

Exam

Class 30 2 Grade

COURSE CONTENTS:Lecture: The space-time: Fundamental kinematical quantities – vector of position, velocity and acceleration. Description of motion along an arbitraty trajectory. Description of motion in moving reference frames. The pronciple of relativity and causality. The Minkowski space. Relativistic kinematics.The Newton's mechanics and relativistic mechanics: The equations of motion. The relativistic equation of motion, energy and momentum in relativistic mechanics. Systems with one and two degree of freedom. Potential fields. Oscillatory motion. Angular momentum. Investigation of motion in central fields, Kepler problem. The motion of n-body systems, the conservation laws. The kinematics and dynamics of rigid body.

Class: Structure of spacetime: description of the motion and deriving of kinematic parameters. Galilean trasformations. The spacetime geometry. Lorentz transformations (simultaneity, clock synchronization, time dilation and Lorentz reduction, etc.).Newton's and relativistic mechanics: Solving of the Newton's equations of motion for some particular models. Examples of potential systems: the Kepler's problem and harmonic oscillator. The problem of two bodies system. Application of relativistic equations of motion.

LEARNING OUTCOMES:Correct undestanding of the role of mathematics as a language of description of physical phenomena. Conceptual understanding of the relations between theoretical description of the reality and physical

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experiment. The knowledge of classical mechanic structure and its relativistic generalization.

ASSESSMENT CRITERIA:Lecture: passing an examination is a necessery condition of ranking the lecture. Class: positive results of two test works.

RECOMMENDED READING:12. W. Rubinowicz, W. Królikowski ”Mechanika teoretyczna”, PWN Warszawa 1967.13. W. Kopczyński, A. Trautman ”Czasoprzestrzeń i grawitacja” , PWN, Warszawa 1981.14. W. Garczyński ”Mechanika teoretyczna” , Wrocław 1978.15. W. I. Arnold ”Metody matematyczne mechaniki klasycznej” , PWN, Warszawa 1981.16. L. Landau, E. Lifszic ”Mechanika”, PWN Warszawa 2006.L. Landau, E. Lifszic

”Mechanika”, PWN Warszawa 2006.

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O B S E R VAT I O N AL M E T H O D S A N D D ATA AN A LY S I S I NO B S E R VAT I O N AL M E T H O D S A N D D ATA AN A LY S I S I N A S T R O N O M YA S T R O N O M Y

Course code: 13.7-WFiA-AST-MOAD


Entry requi rements: Basics of Astronomy


Director of studies: Dr hab. Jarosław Kijak, prof. UZ

Name of lecturer:Lecture: dr hab. Jarosław Kijak

Class: dr hab. Jarosław Kijak


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Lecture 15 1 Grade

Class 15 1 Grade

COURSE CONTENTS:Astronomical Fundamentals, Electromagnetic wave, Telescopes and Receivers, The nature of astronomical objects, analysis of data; statistical method, fitting procedure, Chi-square method.

LEARNING OUTCOMES:Understanding of physical processes in astronomical scales, ability to interpret the results of astronomical observations

ASSESSMENT CRITERIA:Lecture: attendance and activity Class: passing 2 tests, attendance and activity in class

RECOMMENDED READING:[1] Obserwacje i pomiary astronomiczne, A. Branicki, WUW 2006[2] Astronomia popularna, WP 1990[3] Wstęp do analizy błędu pomiarowego, J. R. Taylor, PWN, Warszawa 1999

[4] Analiza danych (Metody statystyczne i obliczeniowe), S. Brandt, Wydawnictwo Naukowe PWN, Warszawa 2002[5] Compendium of Practical Astronomy, Instrumentation and Redaction Techniques, S G.D. Roth, Springer-Verlag, Berlin 1994

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F U N D A M E N TA L S O F P H Y S I C S I V – O P T I C S , M O D E R N P H Y S I C S F U N D A M E N TA L S O F P H Y S I C S I V – O P T I C S , M O D E R N P H Y S I C S

Course code: 13.2-WFiA-AST-PoF4-O,FW


Entry requi rements:

Fundamental kinematical notions, mechanical oscillations and waves. Electormagnetic waves and Maxwell's equations. Principles of mathematical analysis: differentation of functions of many variables, partial derivatives, equations of the second order.




Class - dr Sylwia Kondej


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6Lecture 30 2IV

Exam

Class 45 3 Grade

COURSE CONTENTS:Lecture:Geometrical optics: reflection and refraction of light (Fermat's principle), mirrors, lenses, prisms and disperssion, aberrations, optical instruments.Wave optics: periodic wave motion, interference, diffraction and diffraction gratings, disspersion and polarizacion of light.Quantum nature of light: fotoelectric effect, Compton effect, wave-corpuscular dualism.Quantum nature of matter: emission spectum of atoms, de Broglie waves, electron diffraction, electron microscope.Quantum properties of matter: models of atom, quantization of energy and Schroedinger equation, spin of electron and Pauli exclusion principle, multi electron atoms, periodic system of elements, atomic nucleus and elementary particles.Class: Geometric and wave optics: an application of refraction and reflection law in prisma, lenses and mirrors. Description of particular systems using optical diffraction and interference (for example, Young's efect). The problem of the polarization of light. The wave-particle duality of light and matter (for example the wavelength of photon, de Broglie wavelength etc.). Quantum nature of matter: particular solutions of the Schroedinger equation and their interpretation (the potential 'well', the Coulomb potential). Examples of nuclear processes.

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LEARNING OUTCOMES:Correct undestanding of physical phenomena in optics and .physics of atoms. Conceptual understanding of the relations between theoretical description of the reality and physical experiment. Good understanding of the necessity of introduction of new quantum notions in description of microworld phenomena.

ASSESSMENT CRITERIA:Lecture: passing an examination is a necessery condition of ranking the lecture.Class: positive results of two test works.

RECOMMENDED READING: 1. B.Jaworski, A. Dietlaf, Kurs fizyki, Tom 3, “Procesy falowe. Optyka. Fizyka atomowa i jądrowa”, PWN Warszawa, 1984. 2. J.R. Meyer-Arendt, “Wstęp do optyki”, PWN Warszawa, 1979. 3. V. Acosta, C.L. Cowan, B.J. Graham, “Podstawy fizyki współczesnej”, PWN Warszawa, 1 981.

OPTIONAL READING:

S. Szczeniowski, Fizyka doswiadczalna Cz. IV, “Optyka”, PWN Warszawa, 1983.D.C. Giancoli, “General Physics” Vol.2, Prentice-Hall. Inc. 1984.

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P H Y S I C S O F S TAR S AN D D I S P E R S E D M AT T E RP H Y S I C S O F S TAR S AN D D I S P E R S E D M AT T E R

Course code: 13.7-WFiA-AST-FGMR


Entry requi rements:Knowledge of basics of classical physics (mechanics, pysics of electromagnetic wave, classical electrodynamics).


Director of studies: dr W. Lewandowski

Name of lecturer:Lecture - dr W. Lewandowski

Class – dr K. Maciesiak


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5

Lecture 30 2

VOral exam

Class 30 2 Grade

COURSE CONTENTS:Basic physical laws and they application in astrophysics: gravitation, electrodynamics, properties of

electromagnetic waves. Basics of quantum mechanics.The structure of the interior of stars. Sources of stellar energy. Transfer of radiation.Evolution of stars. Stellar properties in different phases of evolution.The final phases of star evolution (white dwarfs, neutron stars, black hole). Physics of matter in extremal

states.Properties of interstellar medium. Absorption and reddening of the light of stars. Collapse of interstellar

clouds and star creation.The structure of the Milky Way.

LEARNING OUTCOMES:The knowledge of the basic physical laws governing the structure and evolution of stars and the structure of the Milky Way.

ASSESSMENT CRITERIA:Oral exam.Attendance, passing final test.

RECOMMENDED READING:17. F. Shu, „Galaktyki, gwiazdy, życie”, Prószyński i S_ka, 200318. M. Kubiak, „Gwiazdy i materia międzygwiazdowa”, PWN, 199419. J.M. Kreiner, „Astronomia z Astrofizyką”, PWN, 1988

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OPTIONAL READING:1. E. Rybka, „Astronomia ogólna”, PWN, 1983

REMARKS:

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N AT U R A L S C I E N C E S M E T H O D O L O G YN AT U R A L S C I E N C E S M E T H O D O L O G Y

Course code: 08.1-WFiA-AST-MNP


Entry requi rements:

Knowledge of fundamentals of physics and astronomy. Elements of the philosophical education: of the history of philosophy, logic and ethics.



Name of lecturer: dr hab. Anatol Nowicki, prof. UZ


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Lecture 30 2 V Grade

COURSE CONTENTS:Introduction: the knowledge and the learning, classification of sciences.The coming into existence of the civilization and the development of the scientific knowledge: Ancient Egypt, Mesopotamia, the calculation of the time in the antiquity- calendar; basics of mathematics.Learning in ancient Greece: basics of the Greek learning, the Ionic school of philosophers of the nature, Pythagoras and his work, the idealism of the Plato, Greek concept of atoms -Democritus, Aristoteles physics, development metematyki and mechanics in the alexandrine period, optics and acoustics, Rome and dusk of classical science.Natural sciences in the period of the Middle Ages: learning in the period of the Middle Ages, the contribution of philosophers and Arabic scholars, the coming into existence of universities, the Jagiellonian University, the Paris school, the Oxford school, the development of optics in the Middle Ages.Natural sciences in the Renaissance period: beginning of the modern era-Leonardo da Vinci, the development to astronomy-Kopernik, Kepler, optics, the magnetism and hydrostatyka in the Renaissance period.Physics before Newton: Galileo, Descartes, the revival of atom concept.Contribution of Newton to the science: Newton's optics, the fundamentals of mechanics - the differential calculus, his basic book „Mathematical principles of philosophy of the nature”, other works of Newton.Methodology of natural sciences on the example of physics: physical phenomena and models, physics theories: classical mechanics, the kinetic-molecular theory of the structure of matter. Integration and the specialization in natural sciences.Basic model of the learning: the method of the idealization, the theory of paradigms, examples: the special theory of relativity, the quantum theory, basic particles and quarks, the theory of everything.

LEARNING OUTCOMES:the ability to understand and the ability of the description of chosen groups of physical phenomena in nature, of formulating the problem and using physical research methodologies (experimental and theoretical) for solving it.

ASSESSMENT CRITERIA:

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Positive result of a test work.

RECOMMENDED READING:21. L.N. Cooper, Istota i struktura fizyki, PWN, Warszawa 1975.22. Z. Galasiewicz, Poznanie świata. Z dziejów filozofii i fizyki., Oficyna Wydawnicza Poli-

techniki Wrocławskiej, Wrocław 2005.23. L. Nowak, Wstęp do idealizacyjnej teorii nauki, PWN, Warszawa 1977. 24. A.K. Wróblewski, Historia fizyki, PWN, Warszawa 2007.

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P H YS I C S OF S TA R S A N D D I S P E R S E D MAT T E RP H YS I C S OF S TA R S A N D D I S P E R S E D MAT T E R

Course Code: 13.7-WFiA-AST-FGMR

Type of course: lecture + class

Entry requi rements: Basic knowledge of physics and astronomy





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Lecture 30 2 5 Oral exam

COURSE CONTENTS:5. Fundamental laws of physics and their application to astronomy. Gravitation, electrodynamics,

electromagnetic waves. Quantum physics basics.6. Structure and composition of stars. Sources of stellar energy. Transfer of radiation.7. Stellar evolution. Properities of stars at different stages of evolution.8. Final stages of stellar evolution (white dwarves, neutron stars, black holes). Physics of matter in extreme

conditions.9. Properities of interstellar medium. Absorption and reddening of stellar spectra. Interstellar clouds collapse

and the formation of stars.10. Structure of the Milky Way Galaxy.

LEARNING OUTCOMES:Knowledge of fundamental laws governing stellar structure and evolution, and the composition and structure of Milky Way Galaxy.

ASSESSMENT CRITERIA:Lecture: oral exam

RECOMMENDED READING:25. F. Shu, „Galaktyki, gwiazdy, życie”, Prószyński i S_ka, 200326. M. Kubiak, „Gwiazdy i materia międzygwiazdowa”, PWN, 199427. J.M. Kreiner, „Astronomia z Astrofizyką”, PWN, 1988

OPTIONAL READING:5. E. Rybka, „Astronomia Ogolna”, PWN, 1983

UWAGI:

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F O U N D AT I O N S O F Q U AN T U M P H Y S I C SF O U N D AT I O N S O F Q U AN T U M P H Y S I C S

Course code: 13.2-WFiA-FIZ-PoFK


Entry requi rements:Fundamental principles of physics, calculus, mathematical methods in physics.


Director of studies: dr hab. Krzysztof Urbanowski, prof. UZ

Name of lecturer:Lecture - dr hab. Krzysztof Urbanowski, prof. UZ

Class - dr Bogdan Grabiec


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8Lecture 30 2V

Exam

Class 30 2 Grade

COURSE CONTENTS:Lecture: Experimental foundations of quantum physics. Corpuscle properties of the electromagnetic radiation. Wave properties of particles. Atoms structure. Mathematical methods in Quantum Mechanics – vector spaces, Hilbert spaces, Dirac notation, operators – continuous basis and discrete basis representation. The quantum postulates and their consequences – the state of the quantum system, correspondence of observables with operators, eigenvalue problem, probabilistic interpretation of the measurement results, time evolution of a quantum system. Uncertainty relation. Quantum mechanics of a particle in one dimension: free particle, harmonic oscillator. Quantum mechanics of a particle in three dimensions: angular momentum. Symmetry operations in quantum mechanics: – space translations and time translations. The hydrogenic atom.Theoretical class: Problems and exercises for the lecture: elements of a theory of linear operators in Hilbert space, uncertainty principle, the square potential barrier, potential well, symmetries, rotational symmetries – conservation laws.

LEARNING OUTCOMES:To develop understanding of the essence of quantum phenomena; to develop skills in using quantum mechanical methods for a description of quantum phenomena in the nature.

ASSESSMENT CRITERIA:Lecture: passing an exam.Theoretical class: passing tests

RECOMMENDED READING:1. R. L. Liboff, Wstęp do mechaniki kwantowej, PWN, Warszawa 1987.2. M. Grabowski, R. S. Ingarden, Mechanika kwantowa, PWN, Warszawa 1989.3. L. I. Schiff, Mechanika kwantowa, PWN, Warszawa 1977.

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4. I. Białynicki-Birula, M. Cieplak, J. Kaminski, Teoria kwantów, PWN, Warszawa 2001.28. A. S. Dawydow, Mechanika kwantowa, PWN, Warszawa 1969.

OPTIONAL READING:7. J. Brojan, J. Mostowski, K. Wódkiewicz, Zbiór zadań z mechaniki kwantowej, PWN, Warszawa 1978.8. S. Kraszewski, Mechanika kwantowa, Skrypt kursu podstawowego,

http://iftia9.univ.gda.pl/~sjk/QM.

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I N T R O D U C T I O N T O T I M E S E R I E S A N ALY S I SI N T R O D U C T I O N T O T I M E S E R I E S A N ALY S I S

Course code: 11.0-WFiA-AST-WACC


Entry requi rements: Basics of programming, basics of numerical methods, calculus


Director of studies: Dr Olaf Maron

Name of lecturer:Lecture: dr Olaf Maron

Class: dr Olaf Maron


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Lecture 15 1 Exam

Class 15 1 Grade

COURSE CONTENTS:1. Characteristics of signals2. Spectral analysis of periodic signals

a. Fourier seriesb. Amplitude and power spectrum of periodic signalsc. Application of Fourier series to obtaining the amplitude and Power spectrum of

some periodic signals3. Numerical methods of spectral analysis

a. Processing of analog-digital signalb. Digital filteringc. Discrete Fourier Seriesd. Discrete Fourier Transform e. Fast Fourier Transformf. Numerical methods of obtaining the spectral density

LEARNING OUTCOMES:Ability to apply basic numerical methods of spectral analysis, finding spectra of signals, digital filtering.

ASSESSMENT CRITERIA:Lecture: Passing the examLaboratory: passing 2 tests, attendance and activity in class

RECOMMENDED READING:

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29. E. Ozimek, Podstawy teoretyczne analizy widmowej sygnałów30. Z. Fortuna, B. Macukow, J. Wąsowski, Metody numeryczne31. J. Izydorczyk, G. Płonka, G. Tyma, Teoria sygnałów32. Lecture notes

OPTIONAL READING:9. ---

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S C I E N T I F I C C AL C U L AT I O N A N D N U M E R I C AL M E T H O D SS C I E N T I F I C C AL C U L AT I O N A N D N U M E R I C AL M E T H O D S

Course code: 11.0-WFiA-AST-Mnum


Entry requi rements: Programming in any programming language, mathematical analysis, algebra


Director of studies: Dr Krzysztof Maciesiak

Name of lecturer: Dr Krzysztof Maciesiak


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Class 75 5 VI Grade

COURSE CONTENTS:2. Interpolation3. Approximation4. Approximate solving of non-linear equations and their sets.5. Numerical integration6. Algebraic system of non-linear equations solving.7. Calculating of eigenvalues and eigenvectors of matrixes.8. Method of solving initial value problem for ordinary differential equations.9. Method of solving boundary condition problem for partial differential equations.

LEARNING OUTCOMES:Student can apply basic numerical methods in solving physical and astronomical problems.

ASSESSMENT CRITERIA:Attendance, passing at least 60% of short entry tests, passing final test.

RECOMMENDED READING:33. Z. Fortuna, B. Macukow, J. Wąsowski, Metody numeryczne, Wydawnictwo Naukowo-Techniczne, Warszawa

199334. R. L. Burden, J. D. Faires, Numerical Analysis, PWS-KENT Publishing Company Boston 1985

OPTIONAL READING:-

REMARKS:

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G R AD U AT E ( B AC H E L O R ’ S ) S E M I N AR G R AD U AT E ( B AC H E L O R ’ S ) S E M I N AR

Course code: 13.7-WFiA-AST-SEML

Type of course: obligatory

Entry requi rements: Passing examinations of basic subjects from the past years of studies


Director of studies: Prof. Giorgi MelikidzeName of lecturer: Prof. Giorgi Melikidze


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Number o f ECTS



Seminar 45 3 6 credit with a mark

COURSE CONTENTS:

Provide help, discussion and explanation of all uncertainties connected with choice of the necessary literature to study for the graduate (Bachelor’s) examination. Give presentations and commentaries concerning the topics of the graduate examinations. Teach basics of preparation for the presentation.

LEARNING OUTCOMES:

Preparation for the graduate (Bachelor’s) examination.

ASSESSMENT CRITERIA:

Presentations.

RECOMMENDED READING:

The literature is chosen by the teacher according to topics of the presentations.OPTIONAL READING:

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W S T Ę P D O A S T R O F I Z Y K I O B I E K T Ó W Z WAR T Y C HW S T Ę P D O A S T R O F I Z Y K I O B I E K T Ó W Z WAR T Y C H

Course code: 13.7-WFiA-AST-WAOZ


Entry requi rements: Differential calculus and general physics


Director of studies: Krzysztof Krzeszowski

Name of lecturer: Krzysztof Krzeszowski


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Lecture 30 2 IX Exam

COURSE CONTENTS:Kinds of compact objects: white dwarfs, neutron stars and black holes.General Relativity Theory.Schwarzschild solution and properties of sphericaly symetric black holes.Slow rotation: geodethic precession and Lense’a-Thirringa precessionKerr black holes.Structure of white dwarfs.Structure of neutron stars.Stability of compact objects.

LEARNING OUTCOMES:Knowledge of compact objects physics and solving basic excercises from General Relativity

ASSESSMENT CRITERIA:Presence, exam

RECOMMENDED READING:1. Gravity, James B. Hartle, Addison Wesley 20032. Black Holes, White Dwarfs and Neutron Stars, S. Shapiro, S. Teukolsky, Wiley-VCH 20043. Wstęp do ogólnej teorii względności, B. Schulz, PWN Warszawa 20024. Astrofizyka relatywistyczna, M. Demiański, PWN Warszawa 1991

OPTIONAL READING:10. Internet contents

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ASTRONOMY STUDY OF FIRST DEGREE COURSE...

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