Technische Universität Ilmenau

Algebra - Modultafeln of TU Ilmenau

The module lists provide information on the degree programmes offered by the TU Ilmenau.

Please refer to the respective study and examination rules and regulations for the legally binding curricula (Annex Curriculum).

You can find all details on planned lectures and classes in the electronic university catalogue.

Information and guidance on the maintenance of module descriptions by the module officers are provided at Module maintenance.

Please send information on missing or incorrect module descriptions directly to modulkatalog@tu-ilmenau.de.

module properties module number 200381 - common information
module number200381
departmentDepartment of Mathematics and Natural Sciences
ID of group2411 (Discrete Mathematics and Algebra)
module leaderProf. Dr. Matthias Kriesell
languageDeutsch
term Wintersemester
previous knowledge and experience

Lineare Algebra I und Lineare Algebra II

learning outcome

Nach der Vorlesung kennen die Studierenden die grundlegenden Begriffe der Theorie der Gruppen, Ringe und Körper, können sie beschreiben und zusammenfassen. Sie sind fähig, fachtypische Beweise zu analysieren. Nach den Übungen sind die Studierenden in der Lage, die in der Vorlesung erworbenen Kenntnisse, insbesondere Beweistechniken, auf typische Beispiele anzuwenden

content

I. Gruppen (Homomorphiesätze, Charakterisierung endlicher abelscher Gruppen, Sylowsätze) II. Ringe (Klassen von Ringen, Polynomringe in beliebig vielen Veränderlichen, allgemeiner Chinesischer Restsatz, Hilbertscher Basissatz) III. Körper (Algebraischer Abschluß, Grundzüge der Galoistheorie).

Die Inhalte können abhängig vom Dozenten variieren.

media of instruction and technical requirements for education and examination in case of online participation

Tafel

literature / referencesDie einschlägigen Lehrbücher von Fischer, Kowalsky, van der Waerden.
evaluation of teaching
Details reference subject
module nameAlgebra
examination number2400728
credit points5
SWS4 (3 V, 1 Ü, 0 P)
on-campus program (h)45
self-study (h)105
obligationobligatory module
examoral examination performance, 30 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants
Details in degree program Bachelor Mathematik 2021
module nameAlgebra
examination number2400728
credit points5
on-campus program (h)45
self-study (h)105
obligationobligatory module
examoral examination performance, 30 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants
Details in degree program Bachelor Informatik 2013, Bachelor Informatik 2021, Master Informatik 2021
module nameAlgebra
examination number2400728
credit points5
on-campus program (h)45
self-study (h)105
obligationelective module
examoral examination performance, 30 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants