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1 Climate Dynamics MNF-klim Semester, Dauer: 2 Semester Telefon (0431) , mlatif@geomar.de Studiengang / -gänge Master of Science Climate Physics: Meteorology and modul Auswahl Climate Dynamics (Vorlesung) Climate Dynamics (Übung) 40 Pers. Oce.-Met.-Clim.-Seminar (Seminar) Prof. Dr. Claus Böning 300 Stunden 10 LP Students will gain advanced knowledge in climate dynamics, an ability to study relevant literature and to refer critically about it. Climate Dynamics : Chaos and predictability, Lorenz-model, ocean circulation, Stommel-model, Milankowitch cycles, anthropogene climate change Oce.-Met.-Clim. Seminar: International literature to general topics regarding all scientific fields, meteorology, oceanography, and climatology Vorlesung: Climate Dynamics Seminar: Oce.-Met.-Clim.-Seminar Oral exam : prerequisite for oral exam: successful practical in Climate Dynamics Graded oral presentation Klimadynamik: : Philander, 1998: Is the temperature rising? Princeton University Press, pp Turnus: jährlich WS oder SS Semesterlage: 1.Semester oder 2. Semester Alternativ: Vorlesung/Übung im 1. Semester und Seminar im 2. Semester oder 1

2 Climate Dynamics Seminar im 2. Semester und Vorlesung/Übung im 3. Semester 2

3 Advanced Physical Climate MNF-klim Semester, Dauer: 2 Semester Telefon (0431) , mlatif@geomar.de Regional Climate Variability (Vorlesung) Regional Climate Variability (Übung) Dr. Marcus Dengler Feedbacks in the Climate System (Übung) Feedbacks in the Climate System (Übung) 300 Stunden 10 LP Grundkenntnisse des physikalischen Klimas 40 Pers. Auswahl Become familiar with the basic modes of physical climate variability with a focus on the ocean and atmosphere. To understand the underlying positive and negative feedbacks of the physical climate system with an emphasis on interannual to centennial time scales. Advanced Aspect of the Physical Climate System will be addressed by lectures and practical application. The following topics will be covered: North Atlantic Oscillation, Great Salinity Anomaly, Tropical Atlantic Variability, Monsoon Dynamics (MJO), Regional Impacts of Climate Change, Ice-Albedo Feedback, Cloud/Water Vapor - Radiation Feedback, Wind SST (Bjerkness) Feedback, MOC Sea-Ice Feedback, Vegetation Radiation Feedback, Ocean ventilation CO2, Biogeochemical Cycles A comprehensive oral exam. Kump, L.R., J.F. Kastings, and R.G. Crane: The Earth System. Prentice Hall, 1999, 351pp. Hartmann, D.L. Global Physical Climatology. Academic Press, 1994, 408pp. IPPC TAR 4 The Scientific Basis, 2007, pp Diese Veranstaltung wird nur alle 4 Semester im WS und SS angeboten 3

4 Climate Seminar MNF-klim Semester, Dauer: 1 Semester Telefon (0431) , mlatif@geomar.de Advanced Climate Seminar (Seminar) 125 Stunden Important aspects of the whole field of climatology will be revisited by student held seminar lectures. Auswahl Read and understand the climatological literature. Prepare a concise 20 min long seminar using the material and graphics from originally published scientific work. Graded oral presentation e for the seminar will be provided at the beginning of the semester Alternative: Begin in the 1st or 3rd semester 4

5 Numerics and Statistics MNF-klim Semester, Dauer: 2 Semester Prof. Dr. Claus Böning Telefon (0431) , cboening@geomar.de Studiengang / -gänge Master of Science Climate Physics: Meteorology and modul Numerical methods and models (Vorlesung) Prof. Dr. Claus Böning Numerical methods and models (Übung) Prof. Dr. Arne Biastoch Prof. Dr. Claus Böning Data Analysis and Statistics (Vorlesung) Data Analysis and Statistics (Übung) Prof. Dr. Arne Biastoch 300 Stunden 10 LP 40 Pers. 40 Pers. Auswahl Understanding the fundamental concepts in numerical modelling and in the statistical analysis of spatially and temporally varying fields. Numerics: Numerical integration of ordinary differential equations Basic aspects for solving partial differential equations Elliptical equations: iterative and multi-grid methods Diffusion problems: stability, explicit and implicit methods Advection problems: numerical dispersion and damping, aliasing and nonlinear instability Wave problems: grid dispersion and grid arrangement Alternative concepts for spatial discretization General circulation models: concepts, classical modelling studies, resolution and integration strategies, effects and parameterization of subgridscale processes Statistics: Basics of : statistical distributions, probability theory time series analysis, multivariate data analysis, stochastic models, statistical tests/inferences, strategies and pitfalls of statistical analysis. Übung: Data Analysis and Statistics oral final examination Periodic examinations of the exercises 5

6 Numerics and Statistics Übung: Numerical methods and models Periodic examinations of the exercises Numerics: Press, W.H., B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, 1986: Numerical Recipes. Cambridge University Press. Arakawa, A., 1988: Finite Difference Methods in Climate Modelling. In: M.E. Schlesinger (Ed.), Physical based Modelling and Simulation of Climate and Climatic Change. Kluwer Acad. Publishers. Trenberth, K.E., 1993: Climate System Modelling. Cambridge University Press. Griffies, S.M., 2004: Fundamentals of ocean climate models. Princeton University Press. Statistics: Storch and Zwiers: Statistical Analysis in Climate Research. Cambridge University Press. Wilks 2006: Statistical Methods in the Atmospheric Sciences. Academic press. Box, Jenkins and Reinsel: Time Series Analysis.Prentice-Hall International Jolliffe: Principal Component Analysis. Springer Turnus: jährlich WS oder SS Semesterlage: 1. oder 2. Semester Alternativ: Numerik im 1. Semester und Statistik im 2. Semester oder Statistik im 2. Semester und Numerik im 3. Semester 6

7 Geophysical Fluid Dynamics MNF-klim Semester, Dauer: 1 Semester Prof. Dr. Claus Böning Telefon (0431) , cboening@geomar.de Studiengang / -gänge Master of Science Climate Physics: Meteorology and modul Fluid dynamics I (Vorlesung) Prof. Dr. Claus Böning Prof. Dr. Richard Greatbatch Fluid dynamics I (Übung) Prof. Dr. Arne Biastoch Fluid dynamics II (Vorlesung) Prof. Dr. Claus Böning Prof. Dr. Richard Greatbatch Fluid dynamics II (Übung) Prof. Dr. Arne Biastoch 300 Stunden 10 LP 40 Pers. 40 Pers. Auswahl Understanding the fundamental concepts of the dynamics of large-scale motion in atmosphere and ocean Hydro- and thermodynamics of rotating and stratified systems, common approximations Vorticity and circulation theorems Small Rossby number approximations: geostrophy, quasi-geostrophy, planetary geostrophy Planetary and topographic waves Wave-mean flow interactions : barotropic and baroclinic instability, energetics (Lorenz Cycle), zonally averaged circulations in atmosphere and ocean Role of small-scale processes for large-scale motion Oral final examination Gill, A.E., 1982: Atmosphere Ocean Dynamics. Academic Press, London, UK, 662 pp. Pedlosky, J, 1987: Geophysical Fluid Dynamics, Springer-Verlag, New York, USA. 710 pp. Holton,R.H,, 1992: An introduction to dynamic meteorology. Academic Press, London, UK. 511 pp. Vallis, G. K. 2006:Atmospheric and oceanic fluid dynamics. Cambridge University Press, Cambridge, UK. 750pp Alternativ: 7

8 Geophysical Fluid Dynamics 1. oder 3. Semester 8

9 Ocean Circulation and Climate Dynamics Colloquium MNF-klim-402 k.a., Dauer: 2 Semester Telefon (0431) , mvisbeck@geomar.de FB1 Seminar (Seminar) Prof. Dr. Claus Böning Prof. Dr. Katja Matthes 30 Stunden 2 LP Advance skills in scientific presentations. Get an overview of current research topics. Wahlpflicht Students are exposed to current research topics. They experience professional oral lectures and are expected to actively contribute to the post-seminar discussion Mandatory attendance of 10 FB1 seminars : Present attendance sheet over 10 seminars k.a. Semesterlage

10 Environmental Science Summer School MNF-klim-403 k.a., Dauer: 1 Semester Telefon (0431) , mvisbeck@geomar.de Environmental Summer School (Vorlesung) 5 SWS Tage 20 Pers. Wahlpflicht 120 Stunden Enhance broad knowledge base of ocean and climate science in the context of the broader environmental science agenda. Hone communication skills. Enhance knowledge base. Prepare for lectures. Practical experience with debates, home works and/or lab work. Learn to work in new teams of non Kiel based students. Exposure to non Kiel based lecturers. Written report : Provide written report of summer school activity including lecture program. Can be graded if summer school provides grades. Usually pass/fail k.a. Semesterlage

11 Ocean and Climate Physics Research Internship MNF-klim-404 k.a., Dauer: 1 Semester Telefon (0431) , mvisbeck@geomar.de Research Internship (Projektarbeit) 30 Stunden SWS 20 Pers. Wahlpflicht 120 Stunden Get experience in doing science in the context of an ongoing research project. Learn new tools, methods and the practicalities of doing science. Interact with more experienced researchers. Learn skills in the areas of field and/or laboratory based observations, data analysis, model development, model analysis. Written report : Provide written report of work including an outline of the overall research project, the specific assignment and some of the key findings. pass/fail k.a. Semesterlage

12 Advanced Meteorology: Radiation and clouds MNF-mete Semester, Dauer: 2 Semester Telefon (0431) , mlatif@geomar.de Radiation (Vorlesung) Radiation (Übung) Cloud Physics (Vorlesung) Cloud Physics (Übung) 300 Stunden 10 LP 40 Pers. 40 Pers. Auswahl Advanced knowledge in the theory and application of radiative transfer and cloud physics. The student will be able to simulate drop size spectra resolved cloud microphysical processes and to simulate radiative transfer in the cloudy atmosphere in the solar and thermal spectral regime. Radiation : Earth s radiation budget, radiometric variables, scattering and absorption of atmospheric gases and particles, radiative transfer equation, Schwarzschild s equation, single scattering approximation, method of successive order of scattering, discrete ordinate radiative transfer method, Two-Stream approximation, Monte-Carlo radiative transfer simulation Cloud physics : Clouds in the climate system, cloud classification, general thermodynamics, atmospheric instability, curvature and solute effects, condensation growth, coagulation, stochastic coalescence equation, parameterization of cloud processes in the climate system Oral final examination Radiation: Bohren, C.F., and D.R. Huffman, 1983: Absorption and Scattering of Light by Small Particles (Wiley-Interscience, New York), pp. 530 Goody, R. M. and Y.L. Yung, 1989: Atmospheric radiation : theoretical basis, 2nd ed., Oxford University Press, pp. 519 Liou, K,.N., 2002: Introduction to Atmospheric Radiation, 2nd ed., Academic Press, pp

13 Advanced Meteorology: Radiation and clouds Patty, G. 2004: A First Course in Atmospheric Radiation, Sundog Publishing, pp 444. Cloud physics: Pruppacher, H.R. and J.D. Klett 1997: Microphysics of Clouds and Precipitation, Kluwer Academic Publishers, pp Rogers, R.R. and M.K. Yau, 1989: A Short Course in Cloud Physics, Pergamon Press, pp Alternative: Begin in 1st or 3rd semester 13

14 Meteorological Seminar MNF-mete Semester, Dauer: 1 Semester Telefon (0431) , mlatif@geomar.de Lehrveranstaltungen 150 Stunden Important aspects of the whole field of meteorology will be revisited by student held seminar lectures. The student will be able to critically investigate the results of a scientifc publication and to provide a comprehensible oral presentation of the main findings and consequences. Read and understand the meteorological literature. Prepare a concise 20 min long seminar using the material and graphics from originally published scientific work. Graded oral presentation e for the seminar will be provided at the beginning of the semester Alternative: Begin in the 1st or 3rd semester 14

15 Modern Aspects in Meteorology I MNF-mete Semester, Dauer: 1 Semester Telefon (0431) , mlatif@geomar.de Tropical Meteorology (Vorlesung) Dr. Susan Tegtmeier Tropical Meteorology (Seminar) Dr. Susan Tegtmeier 150 Stunden Overview about relevant topics in Tropical Meteorology. Auswahl Mean tropical circulation, transport in the tropics, convevtion, equatorial wave theory, Gill-Matsuno theory, Madden-Julian oscillation, monsoon, tropical storms, ENSO, volcanic eruptions, QBO, the Tropical Tropopause Layer and climate changes in the tropics. Graded oral presentation Holton, J. 2004: An Introduction to Dynamic Meteorology (fourth addition), 531pp Gill, A. E. 1980: Atmosphere-Ocean Dynamics, Volume 30 (International Geophysics), 645pp Emanuel, K. 2005: Divine Wind: The History and Science of Hurricanes, 259pp Holton, Andrews, Leovy, 1987: Middle Atmosphere Dynamics (International Geophysics), 483pp Philander, S. G., 1990: El Nino, La Nina, and the Southern Oscillation, Volume 46 (International Geophysics), 291pp Example lecture in modern aspects in Meteorology. Topic may change depending on available lecturer. 15

16 Modern Aspects in Meteorology II MNF-mete Semester, Dauer: 1 Semester Telefon (0431) , mlatif@geomar.de 3D radiative transfer (Seminar) Seminar (Vorlesung) 15 Pers. 15 Pers. 150 Stunden Ability to understand and to apply recent tools to simulate complex threedimensional radiative transfer problems. 3d radiative transfer effects in remote sensing and radiation budget studies, basic radiative transfer theory, numerical methods to solve the radiative transfer equation, Monte-Carlo methods, approximative methods in 3d radiative transfer, 3d cloud generators graded oral presentation MARSHAK, A., DAVIS, A.B. (Eds.), 2005: 3D Radiative Transfer in Cloudy Atmospheres. Springer, p 686. Example lecture in modern aspects in Meteorology. Topic may change depending on available lecturer. 16

17 Modern Aspects in Meteorology III MNF-mete Semester, Dauer: 1 Semester Lehrveranstaltungen 150 Stunden Understanding of dynamical and chemical aspects in the coupled troposphere-stratosphere-mesosphere system. Introduction to the Stratosphere, radiation, dynamics and chemistry in the wintertime stratosphere, trends in stratospheric ozone and the ozone hole, relevant trace gases, the mean global meridional circulation (Brewer- Dobson Circulation), mean age of air, effect of trace gases on the radiation budget of the atmosphere, the tropical tropopause region, coupling of stratosphere and troposphere, climate change, international climate treaties (Montreal Protocol, Kyoto Protocol). Graded oral presentation Andrews et al. 1987: Middle atmosphere dynamics; Labitzke and van Loon, 2000: The stratosphere; Brasseur and Solomon, 1986: Aeronomy of the middle atmosphere Example lecture on modern aspects in Meteorology. Topic may change depending on available lecturer. 17

18 Advanced MNF-ozgr Semester, Dauer: 2 Semester Prof. Dr. Peter Brandt Telefon (0431) , pbrandt@geomar.de Auswahl Wind-driven Circulation (Vorlesung) Prof. Dr. Richard Greatbatch Prof. Dr. Katja Matthes Wind-driven Circulation (Übung) Prof. Dr. Richard Greatbatch Prof. Dr. Katja Matthes Thermohaline Circulation (Übung) Prof. Dr. Peter Brandt Prof. Dr. Katja Matthes Thermohaline Circulation (Vorlesung) Prof. Dr. Peter Brandt Dr. Marcus Dengler 300 Stunden 10 LP Keine 20 Pers. 20 Pers. 20 Pers. 20 Pers. On successful completion of this module, students will have an advanced understanding of the physical properties of sea water as well as of the dynamics and thermodynamics of the ocean. They will also be able to make use of mathematical methods needed to solve physical problems in oceanography. Ekman and Sverdrup balance, Simple models of wind-driven circulation, Subduction, equatorial, off-equatorial and coastal upwelling, Tropical, subtropical cells, Time dependent processes, Baroclinic structure and internal waves, Equatorial and off-equatorial waves, El Nino Heat and freshwater fluxes, buoyancy fluxes, Distribution of water masses, Transport of heat and freshwater, Deep water formation, convection, overflow, Deep Western Boundary Currents, Simple models of the deep circulation, Global thermohaline circulation and variability : Two successful practicals Oral examination Apel, J.R., 1988: Principle of Ocean Physics. International Geophysics Series, Vol. 38, Academic Press, Fifth printing 1999, 634 pp. Siedler, G., J. Church, J. Gould (eds), 2001: Ocean Circulation & Climate, International Geophysics Series, Vol. 77, Academic Press, 715 pp. Pond, S., and G.L. Pickard, 1983: Introductory Dynamical Oceanography, Butterworth-Heinemann, reprinted with corrections 1986, 1989, 329 pp. Gill, A.E., 1982: Atmosphere Ocean Dynamics. International Geophysics Series, Vol. 30, Academic Press, 662 pp. 18

19 Advanced Peixoto, J.P., and A.H. Oort, 1992: Physics of Climate. Springer-Verlag New York, Inc., 520 pp. Wang, C., S.-P. Xie, J. A. Carton (eds), 2004: Earth s Climate: The Ocean Atmosphere Interaction. Geophysical Monograph 147, American Geophysical Union, 405 pp. Alternativ start first or third semester. 19

20 Seminar MNF-ozgr Semester, Dauer: 1 Semester Telefon (0431) , mvisbeck@geomar.de Auswahl, Bez. Seminar (Seminar) Prof. Dr. Claus Böning Prof. Dr. Peter Brandt Prof. Dr. Richard Greatbatch 20 Pers. Wahlpflicht, A 150 Stunden Basic knowledge in physics and oceanography Students will be able to read and understand the physical oceanographic literature, and to prepare a concise 30 minute long seminar using the material and graphics from originally published scientific work. Important aspects of the whole field of will be revisited by student-held seminar lectures Graded oral presentation The literature for the seminar will be provided at the beginning of the semester Alternatively first or third semester. 20

21 Modern Aspects in I MNF-ozgr-401 k.a., Dauer: 1 Semester Prof. Dr. Peter Brandt Telefon (0431) , pbrandt@geomar.de Tropical Ocean Dynamics (Vorlesung) Prof. Dr. Peter Brandt Dr. Marcus Dengler Tropical Ocean Dynamics (Seminar) Prof. Dr. Peter Brandt Dr. Marcus Dengler 150 Stunden Bachelor in Physics/Ozeanography/Meteorology/Geophysics Auswahl On completion of this module, the students will obtain an understanding of oceanic processes impacting tropical climate variability. Tropical climate variability, tropical oceanic circulation, shallow overturning circulation in the tropical-subtropical oceans, mixed layer processes and heat budget, oceanic upwelling, coupled ocean-atmosphere processes, predictability of tropical climate. Graded oral or written presentation Wang, C., S.-P. Xie, and J. A. Carton, Eds., 2004: Earth's Climate: The Ocean-Atmosphere Interaction. Geophysical Monograph Series 147, AGU, Washington, D. C., 405 pp., ISBN G.J. Goni and P. Malanotte-Rizzoli, Eds., 2003: Interhemispheric water exchange in the Atlantic ocean. Elsevier Oceanographic Series no. 68, Elsevier, Amsterdam, 522 pp, ISBN: Example lecture in modern aspects in oceanography. Topic may change depending on available lecturer. 21

22 Modern Aspects in II MNF-ozgr-402 k.a., Dauer: 1 Semester Telefon (0431) , mvisbeck@geomar.de Auswahl Polar Oceanography (Vorlesung) Polar Oceanography Seminar (Seminar) 20 Pers. 150 Stunden Bachelor in Physics/Ozeanography/Meteorology/Geophysics On completion of this module, the students will obtain an understanding of oceanic processes in polar environments. The Polar environment, Atmospheric Forcing, Polar Watermasses and large scale circulation, Water mass formation processes in the open ocean, Water mass transformation associated with shelves, Ocean sea-ice interaction, Ice shelves and their ocean circulation. Graded oral or written presentation The Polar Oceans, and their role in shaping the global environment O. Johannessen, R.D. Muench and J.E. Overland, AGU Geophysical Monograph 85, 1994, 525 pages The Nordic Seas, an integrated perspective, H. Drange, T. Dockken, T. Furevik, R. Gerdes and W. Berger, AGU Geophysical Monograph, 158, 2005, 366 pages. Ocean, Ice, and Atmosphere: Interactions at the Antarctic Continental Margin, Stanley Jacobs and Ray Weiss, AGU Antarctic Research Series Volume 75, pages Example lecture in modern aspects in oceanography. Topic may change depending on available lecturer. 22

23 Modern Aspects in III MNF-ozgr-403 k.a., Dauer: 1 Semester Telefon (0431) , mvisbeck@geomar.de Auswahl Mesoscale Oceanography (Vorlesung) Mesoscale Oceanography Seminar (Seminar) 150 Stunden 20 Pers. Bachelor in Physics/Ozeanography/Meteorology/Geophysics On completion of this module, the students will obtain an understanding of oceanic mesoscale processes. Observing the oceans mesoscale, Instability of ocean currents, interactions of the mesoscale with the mean circulation, parameterising mesoscale processes in ocean models, interactions of eddies with topography, upwelling and mixing near mesoscale feature, property transport and biogeochemical interactions within the oceans mesoscale Graded oral or written presentation Middle Atmosphere Dynamics, D.G. Andrews, J.R. Holton, C.B. Leovy, Academic Press, 1987 Waves in the Ocean, P.H. LeBlond and L. A. Mysak, Elsevier, 1980 Atmosphere-Ocean Dynamics, A. Gill, Academic Press, 1982 Example lecture in modern aspects in oceanography. Topic may change depending on available lecturer. 23

24 Modern Aspects in IV MNF-ozgr-404 k.a., Dauer: 1 Semester Telefon (0431) , mvisbeck@geomar.de Sea level Change (Vorlesung) Sea Level Change Seminar (Seminar) 150 Stunden Bachelor in Physics/Ozeanography/Meteorology/Geophysics Auswahl On completion of this module, the students will obtain an understanding of the ocean s sea level. Global Sea level observations, Historical records from tidal stations, Satellite observations of sea level, Sea level changes due to ocean dynamics, sea level change due to ocean thermodynamics, sea level change due to fresh water balance. Sea level on ocean shelves, tidal forcing, storm surges. Graded oral or written presentation Waves in the Ocean, P.H. LeBlond and L. A. Mysak, Elsevier, 1980 Atmosphere-Ocean Dynamics, A. Gill, Academic Press, 1982 Tides D.E. Cartwright Cambridge University Press, 2000 Satellite Altimetry and Earth Sciences L.-L. Fu and A. Cazenave. Academic Press, San Diego Example lecture in modern aspects in oceanography. Topic may change depending on available lecturer. 24

25 Modern Aspects in V MNF-ozgr-405 k.a., Dauer: 1 Semester Prof. Dr. Arne Biastoch Telefon (0431) , abiastoch@geomar.de Ocean General Circulation Modelling (Vorlesung) Prof. Dr. Arne Biastoch 125 Stunden 15 Pers. On completion of this module, the students will obtain an understanding of the Ocean General Circulation Modelling processes The goal is to give some insight into the field of modern ocean modelling, which is useful not only for those who have a genuine interest, but also for those who are oriented towards observations. At some part of the study and career everyone has to deal with output/analyses/publications from numerical models; in those cases it is useful to have some idea what are the ingredients, but also limitations, of ocean models. k.a. k.a. Graded oral presentation and report 25

26 Modern Aspects in VI MNF-ozgr-406 k.a., Dauer: 1 Semester Prof. Dr. Arne Biastoch Telefon (0431) , abiastoch@geomar.de The modelled wind-driven and thermohaline circulation (Vorlesung) Prof. Dr. Arne Biastoch 125 Stunden 15 Pers. On completion of this module, the students will obtain an understanding of the processes of the modelled wind-driven and thermohaline circulation The course will give insight into the different aspects of the wind-driven and thermohaline circulation, as it is derived from ocean general circulation models. The main topic is not the formulation of numerical models itself, but rather its application and analysis to understand mechanisms and dynamics. k.a. k.a. Graded oral presentation and report 26

27 Master of Science thesis MNF-klim Semester, Dauer: 1 Semester Telefon (0431) , mlatif@geomar.de Studiengang / -gänge Master of Science Climate Physics: Meteorology and modul Master of Science thesis (Projektarbeit) Prof. Dr. Claus Böning Prof. Dr. Peter Brandt Prof. Dr. Richard Greatbatch Seminar for Master students (Seminar) Prof. Dr. Claus Böning Prof. Dr. Peter Brandt Prof. Dr. Richard Greatbatch Prof. Dr. Katja Matthes 750 Stunden 2 0 SWS 20 Pers. Auswahl Alle Module im bereich, alle Module im Wahlbereich bis auf 1, alle Module im Vertiefungsbereich bis auf 1. Handling of a scientific theme by applying experience and methods learned in the frame of the Master's Course. Independent completion of a scientific manuscript on a specified subject guided by a tutor. k.a. k.a. Master of Science thesis 27

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