. "Astrophysics"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . "Stellar pulsations"@en . . "5" . "Basic concepts and mathematical issues: oscillation mode, radial and non-radial pulsations,\nspherical harmonics, basic coordinate systems and transformations between them, the\nEulerian and Lagrangian description, perturbation of the surface element and its normal.\nTypes of pulsating variables: stellar pulsations across the Hertzsprung-Russell diagram,\ninstability domains, basic properties of different types. Oscillation properties: the Lamb and\nBrunt-Vaisala frequency, acoustic and gravitational modes, propagation diagrams, conditions\nfor trapping of modes, pulsation constant, period-luminosity relation. Mathematical\ndescription of pulsations: general equations of hydrodynamics, linear non-radial non-\nadiabatic pulsations, boundary conditions, adiabatic and quasi-adiabatic approximation,\nSturm-Liouville type problem, variational principle, asymptotic dispersion relations.\nExcitation mechanism: Eddington valve mechanism, self-excitation (opacity) mechanism,\nwork integral, stochastic excitation by turbulent convection. Detection of pulsating stars:\nFourier methods, statistical methods, wavelet analysis. Observed characteristics and\nidentification of pulsation modes: light variations of a pulsating star, changes of radial\nvelocity, modelling of line profile variations, methods of the mode identification from\nphotometry and spectroscopy. Basic effects of rotation: advection, rotational splitting of\nmodes, Coriolis force, Ledoux constant, effects of moderate rotation, centrifugal force. Helio-\nand Asteroseismology: seismic model of a star, the most important achievements of\nhelioseismology, examples of asteroseismic modelling." . . "Presential"@en . "TRUE" . . "Master in Astrophysics"@en . . "https://international.uni.wroc.pl/en/admission-full-degree-studies/programmes-english/astrophysics" . "no data" . "Presential"@en . "The program comprises only a few mandatory courses that acquaint you with general foundations of astrophysics, necessary computer simulation tools and data analysis methods, as well as selected observational techniques. This is supplemented by a wide range of elective courses enabling you to deepen your knowledge and skills according to your scientific interest. You can follow astronomy- or physics-oriented study track that will prepare you for the Master project held in the Astronomical Institute or the Institute of Theoretical Physics, respectively.\nIn the course of becoming an educated astrophysicist, you will gain expertize in mathematical modeling, computer simulations and advanced data analysis. You will also develop universal research competencies, including analytical and critical thinking, rigorous evidence-based reasoning, creativity and complex problem solving, active learning, as well as communication and teamwork skills."@en . . . . "2"@en . "TRUE" . . "Master"@en . "no data" . "1000.00" . "Euro"@en . "2150" . "no data" . "The modern job market awaits people with your competencies! Upon graduation, you will be capable of working in academy, R&D institutes and centers of education, as well as in various knowledge-based economy branches, including ICT, high-tech industry or financial institutions. However, you will be particularly well-prepared to undertake PhD studies and continue scientific career."@en . "no data" . "TRUE" . "Upstream"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .