Course MAT-12-11-K-2
Algebraic Structures (2V+2U, 5.5 LP)
Course Type
SWS | Type | Course Form | CP (Effort) | Presence-Time / Self-Study | |
---|---|---|---|---|---|
- | K | Lecture with exercise classes and tutorials (V/U/T) | 5.5 CP | 109 h | |
2 | V | Lecture | 28 h | ||
2 | U | Exercise class/tutorial (in small groups) | 28 h | ||
(2V+2U) | 5.5 CP | 56 h | 109 h |
Basedata
SWS | 2V+2U |
---|---|
CP, Effort | 5.5 CP = 165 h |
Position of the semester | 1 Sem. in WiSe/SuSe |
Level | [2] Bachelor (Fundamentals) |
Language | [DE] German |
Lecturers |
+ further Lecturers of the department Mathematics
|
Area of study | [MAT-GRU] Mathematics (B.Sc. year 1 and 2) |
Livecycle-State | [NORM] Active |
Possible Study achievement (Übungsschein Algebraic Structures)
- Verification of study performance: proof of successful participation in the exercise classes (incl. written examination)
- Examination number (Study achievement): 82025 ("Exercise Class Algebraic Structures")
- Details of the examination (type, duration, criteria) will be announced at the beginning of the course.
Qualified certificate of successful participation in the exercise classes through active participation, successful completion of homework and passing the final exam for the exercise classes.
Contents
- fundamental algebraic structures: groups, rings, fields (in particular: symmetric group),
- substructures and factor structures (in particular: normal subgroups, isomorphism theorems),
- principal ideal domains: ℤ, polynomial ring K[t] (in particular: Euclidean algorithm).
Literature
- G. Fischer: Lineare Algebra,
- H.-J. Reiffen, G. Scheja, U. Vetter: Algebra,
- H.-D. Ebbinghaus, et al.: Zahlen,
- S. Lang: Algebraische Strukturen.
Materials
Further literature will be announced in the lecture(s); exercise material is provided.
Registration
Registration for the exercise classes via the online administration system URM (https://urm.mathematik.uni-kl.de).
Requirements for attendance (informal)
None
Requirements for attendance (formal)
None
References to Course [MAT-12-11-K-2]
Module | Name | Context | |
---|---|---|---|
[MAT-12-10A-M-2] | Pure Mathematics A | P: Obligatory in Obligatory-Modulteil #A (Algebraic Structures) | 2V+2U, 5.5 LP |
[MAT-12-10L-M-2] | Fundamentals of Mathematics C: Geometry, Elementary Algebra and Number Theory | P: Obligatory in Obligatory-Modulteil #A (Algebraic Structures) | 2V+2U, 5.5 LP |
Notice