Inhalt
[ 201ALGEGEOV18 ] VL Introduction to Geometry
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| (*) Unfortunately this information is not available in english. |
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| Workload |
Education level |
Study areas |
Responsible person |
Hours per week |
Coordinating university |
| 4,5 ECTS |
B2 - Bachelor's programme 2. year |
Mathematics |
Bert Jüttler |
3 hpw |
Johannes Kepler University Linz |
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| Detailed information |
| Original study plan |
Bachelor's programme Technical Mathematics 2025W |
| Learning Outcomes |
Competences |
| The students are familiar with basic geometric knowledge and with fundamental proof and computational techniques of geometry, which are assumed to be known in further courses.
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| Skills |
Knowledge |
- Know different coordinate systems and use them to describe geometric objects,
- know the properties of geometric transformations and use them to solve geometric problems;
- Know examples of geometric structures and objects;
- re-derive proofs of classical theorems of geometry;
- Know some examples of algorithmic methods in geometry and apply them to small test problems;
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Cartesian, affine, homogeneous and barycentric coordinate systems; various geometric transformation groups (Euclidean, affine, projective) and their invariants; elementary results of algorithmic geometry and differential geometry.
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| Criteria for evaluation |
Exam
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| Methods |
Lecture
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| Language |
German |
| Study material |
Aichholzer, Oswin; Jüttler, Bert: Einführung in die angewandte Geometrie, Birkhäuser, ISBN 978-3-0346-0143-6,
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| Changing subject? |
No |
| Further information |
Necessary previous knowledge:
Lineare Algebra und analytische Geometrie 1,2; Analysis 1,2
Positive completion of this course is useful before enrolling in:Differential geometry, computer-aided geometric design
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| Corresponding lecture |
(*)201ALGEGEOV12: VL Einführung in die Geometrie (3 ECTS) +
[ Lehrveranstaltung aus dem Wahlfach j. Algebra und Diskrete Mathematik (1,5 ECTS) oder
Lehrveranstaltung aus dem Wahlfach l. Geometrie (1,5 ECTS) ]
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| On-site course |
| Maximum number of participants |
- |
| Assignment procedure |
Direct assignment |
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