University Lecture Courses

Sergei A. Klioner




Relativistic Foundations of Astrometry and Celestial Mechanics

Graduate course for students in astrometry and celestial mechanics, Department of Astrometry, Astronomical Institute, St.Petersburg State University, St.Petersburg, Russia

Course language: Russian
Course duration: 28 hours
Course program: in Russian and in English

Winter semester 1995-1996
Summer semester 1996
Summer semester 1998 (compact course: 4 weeks per 6 hours)
Summer semester 2000 (compact course: 4 weeks per 6 hours)
Winter semester 2003/2004 (compact course: 4 weeks per 8 hours, supported by the German service for academical exchange (DAAD) as guest professorship)
Winter semester 2005/2006 (compact course: 4 weeks per 8 hours)
Winter semester 2007/2008 (compact course: 4 weeks per 8 hours, supported by the German service for academical exchange (DAAD) as guest professorship)



Modern Astrometry (Moderne Astrometrie)

Graduate course for students in geodesy, Astronomy Department, Technische Universität Dresden, Dresden, Germany

Course language: German
Course duration: 24 hours
Course program: in German

Summer semesters 1998, 1999



Celestial Mechanics (Himmelsmechanik)

Graduate course for students in geodesy, Astronomy Department, Technische Universität Dresden, Dresden, Germany

Course language: German
Course duration: 28 hours lectures and 14 hours exercises
Course program: in German and in English

Winter semesters 1999/2000, 2000/2001, 2001/2002, 2002/2003, 2003/2004, 2004/2005, 2005/2006, 2006/2007, 2007/2008, 2008/2009, 2009/2010, 2010/2011



Information Technologies in Geodesy (Fachspezifische Informatik für Geodäten)

Undergraduate course for students in geodesy, Astronomy Chair, Technische Universität Dresden, Dresden, Germany

Course language: German
Course duration: 12 hours

Winter semesters 2001/2002, 2004/2005



Practical astronomical observations for astronomy teachers (Astronomisches Praktikum für Lehramtskandidaten)

Introductory course of practical astronomical observations for graduate students in astronomy (future high school teachers), Astronomy Chair, Technische Universität Dresden, Dresden, Germany

Course language: German
Course duration: 24 hours

Winter semesters 2001/2002, 2004/2005, 2006/2007, 2007/2008, 2010/2011, 2011/2012, 2012/2013



Basic Numerical Computations in C (Fachspezifische Datenverarbeitung für Geodäten)

Undergraduate course of lectures and exercises for students in geodesy, Astronomy Department, Technische Universität Dresden, Dresden, Germany

Course language: German
Course duration: 14 hours

Winter semesters 2002/2003, 2003/2004, 2004/2005, 2005/2006, 2006/2007, 2007/2008



Astronomical Reference Systems (Astronomische Referenzsysteme)

Undergraduate course of lectures and exercises for students in geodesy, Astronomy Department, Technische Universität Dresden, Dresden, Germany

Course language: German
Course duration: 14 hours

Winter semesters 2009/2010, 2010/2011, 2011/2012, 2012/2013, 2013/2014, 2014/2015, 2015/2016, 2016/2017, 2018/2019


Excersize in Physics (Übungen für Vorlesung "Physik")

Undergraduate course of exercises for students in geodesy, Astronomy Department, Technische Universität Dresden, Dresden, Germany

Course language: German
Course duration: 14 hours

Winter semesters 2009-2010, 2010-2011, 2011-2012



Relativistic Astrometry at Microarcsecond Level

Post-graduate course for students in physics and astronomy, Department of Astromomy, University of Barcelona, Spain

Course language: English
Course duration: 20 hours
Course program: can be found here

Compact course: 9-19 May 2005



Physics I

Introductory course of physics for students in geoscience, Technische Universität Dresden, Dresden, Germany

Course language: German
Course duration: 24 hours
Course program: foundations of Newtonian mechanics, harmonic oscillator, nonlinear oscillator, forced nonlinear oscillator, friction forces, gravitational two-body problem and Keplerian elements, rotational motion of rigid bodies, non-inertial reference frames, foundations of special relativity

Winter semesters 2019/2020, 2020/2021



Physics II

Introductory course of physics for students in geoscience, Technische Universität Dresden, Dresden, Germany

Course language: German
Course duration: 24 hours
Course program: scalar and vector fields, electrostatics, electrical currents, magnetic fields, Maxwell equations, electromagnetic waves, wave optics, geometric optics, quantum optics, thermodynamics, atomic physics

Summer semesters 2014, 2019, 2020, 2021



Selected Mathematical Methods in Astronomy (as a part of the course "Mathematical Methods in Geodesy and Astronomy")

Graduate course for students in geodesy, Technische Universität Dresden, Dresden, Germany

Course language: German
Course duration: 24 hours (12 hours lectures, 12 hours seminars)
Course program: Newtonian gravitational potential of an extended body, scalar spherical harmonics, symmetries of the body in terms of spherical harmonics, vector spherical harmonics, scalar and vector spherical harmonics and rotation of the reference system, fitting the scalar and vector spherical harmonics from observational data, numerical integration of ordinary differential equations: Runge-Kutta, multistep and extrapolation methods, Lagrange interpolation, Runge's phenomenon, cubic splines and B-splines, B-spline as a frequency filter, B-splines as representation of the data with discontinuities, compact representation of smooth time series using piece-wise Chebyschev series, least squares fit with linear constraints using Lagrange multipliers, singular value decomposition and the condition number, least squares fit without storing the design equations

Winter semesters 2014/2015, 2016/2017, 2018/2019



Introduction to Astronomy

Introductory course of astronomy for high school teachers of physics, Technische Universität Dresden, Dresden, Germany

Course language: German
Course duration: 48 hours
Course program: two-semester course of general astronomy augmented by exercises and practical observations as separate learning modules

Years 2019, 2020, 2021


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