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Module Number:
| 13949
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| Module Title: | Differential Geometry |
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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
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| Language of Teaching / Examination: | English |
| Duration: | 1 semester |
| Frequency of Offer: |
On special announcement
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| Credits: |
6
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| 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
/ 3 Hours per Week per Semester
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Exercise
/ 1 Hours per Week per Semester
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Self organised studies
/ 120 Hours
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| Teaching Materials and Literature: | - Martin Lipschutz, Schaum's Outline of Differential Geometry, Schaum Outline Series
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| 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.
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| Evaluation of Module Examination: | Performance Verification – graded |
| Limited Number of Participants: | None |
| Part of the Study Programme: | -
Master (research-oriented) /
Angewandte Mathematik /
PO 2019
- 1. SÄ 2021
-
Master (research-oriented) /
Artificial Intelligence /
PO 2022
- 1. SÄ 2024
-
Master (research-oriented) /
Mathematical Data Science /
PO 2025
-
Master (research-oriented) /
Mathematics /
PO 2025
-
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
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| 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“
- Study programme Mathematics M.Sc.: Compulsory elective module in complex „Analysis / Algebra / Combinatorics“
- Study programme Mathematical Data Science M.Sc.: Compulsory elective module in complex „Fundamentals of Data Science“
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| Module Components: | - Lecture: Differential Geometry
- Accompanying exercise
- Related examination
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| Components to be offered in the Current Semester: | |
