240023 Geometrie und Topologie (V) (SoSe 2017)
Contents, comment
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In der Analysis haben wir schon den Begriff des topologischen Raumes kennengelernt. Ferner haben wir in der Analysis gesehen, wie sich (unter günstigen Bedingungen) Räume und Funktionen lokal verstehen lassen. Hier wollen wir die Theorie weiterentwickeln und auch globale Fragen in den Blick nehmen, z.B., die Frage ob ein zweidimensionaler und ein dreidimensionaler reeller Vektorraum überhaupt verschieden, wenn man nur die Topologie betrachtet und die lineare Struktur außer Acht läßt.
Die Vorlesung ist der Anfang einer Sequenz von zwei Vorlesungen über Geometrie und Topologie. Im Anschluß wird ein Bachelorseminar stattfinden.
Requirements for participation, required level
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Analysis I und II
Lineare Algebra I und II
Bibliography
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G. Bredon: Topology and Geometry (Springer GTM 139)
M. Berger, B. Gostiaux: Differential Geometry: Manifolds, Curves, and Surfaces (GTM 115)
R. Bott, L.W. Tu: Differential Forms in Algebraic Topology (GTM 82)
J.R. Munkres: Topology (Prentice Hall)
External comments page
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period |
|---|
Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-A1 Advanced Module Mathematics 1 Aufbaumodul Mathematik 1 | Vorlesung gemäß Modulbeschreibung | Student information | |
| - | Graded examination | Student information | |
| 24-A2 Advanced Module Mathematics 2 Aufbaumodul Mathematik 2 | Vorlesung gemäß Modulbeschreibung | Student information | |
| - | Graded examination | Student information | |
| 24-E Supplementary Module Mathematics Ergänzungsmodul Mathematik | Vorlesung gemäß Modulbeschreibung | Student information | |
| 24-E2 Supplementary Module Mathematics 2 Ergänzungsmodul Mathematik 2 | Vorlesung | Student information | |
| 24-M-GM Foundations in Mathematics Grundlagen Mathematik | Spezialisierungskurs Mathematik | Graded examination
|
Student information |
| 24-SE Structured Electives Strukturierte Ergänzung | Vorlesung 1 | Student information | |
| Vorlesung 2 | Student information |
The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.
| Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
|---|---|---|---|---|---|---|---|
| Mathematik (Gym/Ge als zweites U-Fach) / Master of Education | (Enrollment until SoSe 2014) | M.M.05; M.M.07 | Wahlpflicht | 3. 4. | 7 | benotet | |
| Mathematik (Gym/Ge fortgesetzt) / Master of Education | (Enrollment until SoSe 2014) | M.M.07 | Wahlpflicht | 1. 2. 3. | 7 | benotet | |
| Studieren ab 50 |
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- Wednesday, February 8, 2017
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- Thursday, April 20, 2017
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- Thursday, April 20, 2017
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- Faculty of Mathematics
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