Inhalt
[ 201ALGEADMU18 ] UE Algebra and discrete mathematics
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| Es ist eine neuere Version 2025W dieser LV im Curriculum Bachelor's programme Technical Mathematics 2025W vorhanden. |
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| Workload |
Education level |
Study areas |
Responsible person |
Hours per week |
Coordinating university |
| 1,5 ECTS |
B2 - Bachelor's programme 2. year |
Mathematics |
Manuel Kauers |
1 hpw |
Johannes Kepler University Linz |
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| Detailed information |
| Original study plan |
Bachelor's programme Technical Mathematics 2023W |
| Objectives |
In this course, starting from properties of the integers, we study basic constructions and structures of abstract algebra.
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| Subject |
- Integers
(Euclidean algorithm, prime factorization, congruences)
- Groups
(Basics, factor groups, isomorphism theorems, cyclic groups, direct products)
- Rings
(Basics, isomorphism theorems, quotient field, localization, euclidian rings and unique factorization domains, irreducible polynomials)
- Fields
(field extensions, splitting fields)
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| Criteria for evaluation |
Exercises, written exam
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| Language |
German |
| Study material |
Script
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| Changing subject? |
No |
| Earlier variants |
They also cover the requirements of the curriculum (from - to)
201ALGEADMU12: UE Introduction to algebra and discrete mathematics (2012W-2018S)
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| On-site course |
| Maximum number of participants |
25 |
| Assignment procedure |
Direct assignment |
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