312.140 (19W) Algebra
Überblick
- Lehrende/r
- LV-Titel englisch Algebra
- LV-Art Vorlesung
- Semesterstunde/n 2.0
- ECTS-Anrechnungspunkte 3.0
- Anmeldungen 13
- Organisationseinheit
- Unterrichtssprache Englisch
- LV-Beginn 03.10.2019
- eLearning zum Moodle-Kurs
Zeit und Ort
LV-Beschreibung
Intendierte Lernergebnisse
After successful completion of this course, students know and understand the theory in the areas of algebra listed below. They are able to apply this knowledge to solving pertinent problems.
Lehrmethodik inkl. Einsatz von eLearning-Tools
Lecture
Inhalt/e
- Group actions
- Sylow's theorems
- Structure of finitely generated abelian groups
- Simple and solvable groups
- Field extensions and splitting fields
- Galois theory
- Cyclotomic fields
- Radical extensions
- Solvability of algebraic equations
Erwartete Vorkenntnisse
Basic course on algebra (groups, quotient groups, congruence relations, symmetric and cyclic groups, rings, ideals, divisibility in ideals, principal ideal domains, factorial rings, simple algebraic field extensions).
Prüfungsinformationen
Geänderte Prüfungsinformationen (COVID-19 Ausnahmeregelung)
Until further notice, i.e. as long as COVID-19 exemptions are in force: Online oral exam (approx. 30 minutes).
Prüfungsmethode/n
Oral exam (approx. 30 minutes).
Prüfungsinhalt/e
Contents of the lecture.
Beurteilungskriterien/-maßstäbe
Emphasis is laid on reasonable knowledge of the definitions and facts and thorough understanding of the material of the course including the proofs. In case of partial fulfillment, the grade will be awarded freely depending on the knowledge shown.
Beurteilungsschema
Note BenotungsschemaPosition im Curriculum
- Doktoratsprogramm Modeling-Analysis-Optimization of discrete, continuous and stochastic systems
(SKZ: ---, Version: 16W.1)
-
Fach: Modeling-Analysis-Optimization of discrete, continuous and stochastic systems
(Pflichtfach)
-
Modeling-Analysis - Optimization of discrete, continuous and stochastic systems (
0.0h XX / 0.0 ECTS)
- 312.140 Algebra (2.0h VO / 3.0 ECTS)
-
Modeling-Analysis - Optimization of discrete, continuous and stochastic systems (
0.0h XX / 0.0 ECTS)
-
Fach: Modeling-Analysis-Optimization of discrete, continuous and stochastic systems
(Pflichtfach)
- Masterstudium Mathematics
(SKZ: 401, Version: 18W.1)
-
Fach: Discrete Mathematics
(Pflichtfach)
-
2.1 Algebra (
2.0h VO / 3.0 ECTS)
- 312.140 Algebra (2.0h VO / 3.0 ECTS)
-
2.1 Algebra (
2.0h VO / 3.0 ECTS)
-
Fach: Discrete Mathematics
(Pflichtfach)
- Masterstudium Technische Mathematik
(SKZ: 401, Version: 13W.1)
-
Fach: Diskrete Mathematik
(Pflichtfach)
-
Algebra (
2.0h VO / 3.0 ECTS)
- 312.140 Algebra (2.0h VO / 3.0 ECTS)
-
Algebra (
2.0h VO / 3.0 ECTS)
-
Fach: Diskrete Mathematik
(Pflichtfach)
- Doktoratsstudium Doktoratsstudium der Technischen Wissenschaften
(SKZ: 786, Version: 12W.4)
-
Fach: Studienleistungen gem. § 3 Abs. 2a des Curriculums
(Pflichtfach)
-
Studienleistungen gem. § 3 Abs. 2a des Curriculums (
16.0h XX / 32.0 ECTS)
- 312.140 Algebra (2.0h VO / 3.0 ECTS)
-
Studienleistungen gem. § 3 Abs. 2a des Curriculums (
16.0h XX / 32.0 ECTS)
-
Fach: Studienleistungen gem. § 3 Abs. 2a des Curriculums
(Pflichtfach)
Gleichwertige Lehrveranstaltungen im Sinne der Prüfungsantrittszählung
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Wintersemester 2023/24
- 312.140 VO Algebra (2.0h / 3.0ECTS)
-
Wintersemester 2022/23
- 312.140 VO Algebra (2.0h / 3.0ECTS)
-
Wintersemester 2021/22
- 312.140 VO Algebra (2.0h / 3.0ECTS)
-
Wintersemester 2020/21
- 312.140 VO Algebra (2.0h / 3.0ECTS)
-
Wintersemester 2018/19
- 312.140 VO Algebra (2.0h / 3.0ECTS)
-
Wintersemester 2017/18
- 312.140 VO Algebra (2.0h / 3.0ECTS)
-
Wintersemester 2016/17
- 312.140 VO Algebra (2.0h / 3.0ECTS)
-
Wintersemester 2015/16
- 312.140 VO Algebra (2.0h / 3.0ECTS)
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Wintersemester 2014/15
- 312.140 VO Algebra (2.0h / 3.0ECTS)