Module Number:
| 13949
|
Module Title: | Differential Geometry |
|
Differentialgeometrie
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Department: |
Faculty 1 - Mathematics, Computer Science, Physics, Electrical Engineering and Information Technology
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Responsible Staff Member: | -
Prof. Dr. rer. nat. habil. Breuß, Michael
|
Language of Teaching / Examination: | English |
Duration: | 1 semester |
Frequency of Offer: |
On special announcement
|
Credits: |
6
|
Learning Outcome: | After successfully completing the module, students are familiar with the basic concepts and techniques of differential geometry and able to apply the appropriate techniques. |
Contents: | - Euclidean geometry
- Curve geometry
- Classic planar theory
- Inner planar geometry
- Connection of geometry with calculus and topology
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Recommended Prerequisites: | Knowledge of the content of the modules
- 11103: Analysis I
- 11104: Analysis II
- 11101: Lineare Algebra und analytische Geometrie I
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Mandatory Prerequisites: | None |
Forms of Teaching and Proportion: | -
Lecture
/ 4 Hours per Week per Semester
-
Exercise
/ 2 Hours per Week per Semester
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Self organised studies
/ 90 Hours
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Teaching Materials and Literature: | - Martin Lipschutz, Schaum's Outline of Differential Geometry, Schaum Outline Series
|
Module Examination: | Prerequisite + Final Module Examination (MAP) |
Assessment Mode for Module Examination: | Prerequisite:
- Successful completion of homework (50% of points must be reached)
Final module examination:
- Written examination, 90 min.
|
Evaluation of Module Examination: | Performance Verification – graded |
Limited Number of Participants: | None |
Part of the Study Programme: | -
Master (research-oriented) /
Angewandte Mathematik /
PO 2019
-
Master (research-oriented) /
Artificial Intelligence /
PO 2022
-
Bachelor (research-oriented) /
Mathematik /
PO 2023
-
Bachelor (research-oriented) - Co-Op Programme with Practical Placement /
Mathematik - dual /
PO 2023
-
Master (research-oriented) /
Physics /
PO 2021
-
Bachelor (research-oriented) /
Wirtschaftsmathematik /
PO 2023
-
Bachelor (research-oriented) - Co-Op Programme with Practical Placement /
Wirtschaftsmathematik - dual /
PO 2023
|
Remarks: | - Study programme Angewandte Mathematik M.Sc.: Compulsory elective module in complex „Analysis / Algebra / Kombinatorik“
- Study programme Mathematik B.Sc.: Compulsory elective module in complex „Vertiefung“, in limited extend
- Study programme Wirtschaftsmathematik B.Sc.: Compulsory elective module in complex „Vertiefung“, in limited extend
- Study programme Artificial Intelligence M.Sc.: Compulsory elective module in complex „Knowledge Acquisition, Representation, and Processing“
- Study programme Physics M.Sc.: Compulsory elective module in complex „Minor Subject“
|
Module Components: | - Lecture: Differential Geometry
- Accompanying exercise
- Related examination
|
Components to be offered in the Current Semester: | |