Differential Geometry - Interactive curriculae of TU Ilmenau

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module properties module number 200455 - common information
module number	200455
department	Department of Mathematics and Natural Sciences
ID of group	2412 (Probability Theory and Mathematical Statistics)
module leader	Prof. Dr. Thomas Hotz
language	Deutsch
term	Sommersemester
previous knowledge and experience	Analysis 1-4, Lineare Algebra 1-2, Algebra
learning outcome	Die Studierenden sind in der Lage, Analysis auf Mannigfaltigkeiten, insbesondere mit Lie-Gruppen und -Algebren sowie auf homogenen Räumen, zu betreiben.
content	Differenzierbare Mannigfaltigkeiten und Abbildungen, Tangentialräume, Vektorfelder, Lie-Gruppen und -Algebren, homogene Räume, Tensorbündel, Differentialformen, Riemannsche Mannigfaltigkeiten, Anwendungen in der mathematischen Physik
media of instruction and technical requirements for education and examination in case of online participation	Tafel, Skript, Aufgaben
literature / references	Boothby, W. M. (2003). An Introduction to Differentiable Manifolds and Riemannian Geometry. 2. Aufl., Academic Press, San Diego, CA. Lee, John M. (2013). Introduction to Smooth Manifolds. 2. Aufl., Springer, New York, NY. Lee, John M. (1997). Riemannian Manifolds. Springer, New York, NY. Singer, I. M. and Thorpe, J. A. (1967). Lecture Notes on Elementary Topology and Geometry. Springer, New York, NY. Sagle, A. A. and Walde, R. E. (1973). Introduction to Lie Groups and Lie Algebras. AcademicPress, New York, NY.
evaluation of teaching

Details reference subject
module name	Differential Geometry
examination number	2400807
credit points	10
SWS	6 (4 V, 2 Ü, 0 P)
on-campus program (h)	67.5
self-study (h)	232.5
obligation	obligatory module
exam	oral examination performance, 30 minutes
details of the certificate
link to Moodle course
teacher
signup details for alternative examinations
maximum number of participants