Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-12-22-K-3

Introduction to Algebra (2V+1U, 4.5 LP)

Course Type

SWS	Type	Course Form	CP (Effort)	Presence-Time / Self-Study
-	K	Lecture with exercise classes (V/U)	4.5 CP		93 h
2	V	Lecture		28 h
1	U	Exercise class (in small groups)		14 h
(2V+1U)			4.5 CP	42 h	93 h

Basedata

SWS	2V+1U
CP, Effort	4.5 CP = 135 h
Position of the semester	1 Sem. in WiSe
Level	[3] Bachelor (Core)
Language	[DE] German
Lecturers	Fieker, Claus, Prof. Dr. (PROF \| DEPT: MAT) Gathmann, Andreas, Prof. Dr. (PROF \| DEPT: MAT) Horn, Max, Prof. Dr. (PROF \| DEPT: MAT) Malle, Gunter, Prof. Dr. (PROF \| DEPT: MAT) Schulze, Mathias, Prof. Dr. (PROF \| DEPT: MAT) Thiel, Ulrich, Prof. Dr. (PROF \| DEPT: MAT) + 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

Verification of study performance: proof of successful participation in the exercise classes (ungraded)
Examination number (Study achievement): 83110 ("Exercise Class Introduction to Algebra")
Details of the examination (type, duration, criteria) will be announced at the beginning of the course.

principal ideal domains, unique factorization domains (UFD),
groups, operations, Sylow theorems,
stem and splitting fields,
fundamental theorem of Galois theory,
solvability of equations, constructions with compass and ruler.

Competencies / intended learning achievements

The students understand (using the example of field theory) how the interaction of different areas of algebra leads to new insights (in particular, to answers to classical questions of antiquity). This deepened the fundamental knowledge that different areas of mathematics often have to cooperate for being able to solve concrete problems.

Literature

F. Lorenz: Einführung in die Algebra,
B.L. van der Waerden: Algebra,
G. Wüstholz: Algebra.

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)

Courses

Requirements for attendance (formal)

None

References to Course [MAT-12-22-K-3]

Module	Name	Context
[MAT-12-20L_ERW-M-3]	Topic Module A: Mathematics in the Interplay between Abstraction and Concretisation	WP: Obligation to choose	2V+1U, 4.5 LP
[MAT-12-20L-M-3]	Topic Module A: Mathematics in the Interplay between Abstraction and Concretisation	WP: Obligation to choose	2V+1U, 4.5 LP
Course-Pool	Name
[MAT-10-KPOOL-3]	Pure Mathematics (B.Sc. Mathematics)
[MAT-18-KPOOL-3]	Geometry (B.Ed. Mathematics)

Module Handbook