Inhalt

[ 201ALGEADMU18 ] UE Algebra and discrete mathematics

Versionsauswahl
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
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.
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)
Criteria for evaluation Exercises, written exam
Language German
Study material Script
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)
On-site course
Maximum number of participants 25
Assignment procedure Direct assignment