240071 Geometrie und Topologie II (V) (WiSe 2015/2016)
Contents, comment
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Besprochen werden die Grundbegriffe der Differentialgeometrie, d. h. im wesentlichen der Begriff der Krümmung in seinen verschiedenen Ausformungen (Riemannscher Krümmungstensor, Skalarkrümmung, Ricci-Krümmung, Weyl-Krümmung). Weitere Stichworte sind: Lie-Gruppen und ihre Darstellungen, Prinzipalbündel, Vektorbündel, Zusammenhang, Charakteristische Formen und Klassen.
Requirements for participation, required level
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Notwendige Vorkenntnisse: Lineare Algebra 1 & 2, Analysis 1 & 2
Wünschenswerte Vorkenntnisse: Geometrie und Topologie 1
Inhaltliche Vorkenntnisse: Mannigfaltigkeiten, Tangentialvektoren, Formen.
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period |
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Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-M-P1 Profile Module 1 | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| 24-M-P2 Profile Module 2 | Profilierungsvorlesung (mit Übungen) - Typ 1 | Student information | |
| 24-M-PWM Profile Module Economic Mathematics | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| - | Graded examination | Student information | |
| 24-M-VM1 Advanced Mathematics 1 | Vertiefungskurs Mathematik 1 - Variante 1 | Student information | |
| - | Graded examination | Student information | |
| 24-SE Structured Electives | Vorlesung 1 | Student information | |
| Vorlesung 2 | Student information | ||
| 24-SP Specialisation Module in Mathematics | Vorlesung gemäß Modulbeschreibung | Graded examination
|
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.10 | Wahlpflicht | 4. | 7 | benotet | |
| Mathematik (Gym/Ge fortgesetzt) / Master of Education | (Enrollment until SoSe 2014) | M.M.10 | Wahlpflicht | 2. 3. | 7 | benotet | |
| Studieren ab 50 |
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- Last update basic details/teaching staff:
- Friday, December 11, 2015
- Last update times:
- Friday, July 10, 2015
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- Friday, July 10, 2015
- Type(s) / SWS (hours per week per semester)
- lecture (V) / 4
- Department
- Faculty of Mathematics
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