[ 521THEOALGV13 ] VL Algebra

Es ist eine neuere Version 2023W dieser LV im Curriculum Bachelor's programme Computer Science 2023W vorhanden.
(*) Unfortunately this information is not available in english.
Workload Education level Study areas Responsible person Hours per week Coordinating university
3 ECTS B1 - Bachelor's programme 1. year Mathematics Erhard Aichinger 2 hpw Johannes Kepler University Linz
Detailed information
Original study plan Bachelor's programme Computer Science 2013W
Objectives Mastery of the concepts of linear algebra in modelling geometric problems. Familiarity with the structures from abstract algebra that are used in coding theory and cryptology, in particular with finite fields.
Subject Vectors and matrices for the description of geometric problems, linear systems of equations, projective geometry and homogeneous coordinates. Vector spaces, linear mappings, matrix representation of linear mappings, determinants. Finite fields, their construction from polynomial rings, arithmetic and properties of finite fields. Linear Codes.
Criteria for evaluation General: Understanding and mastery of the presented solution methods. Acquaintance with the underlying theory and its logical structure. Knowledge and presentation of the proofs contained in the lecture. Correct derivation of methods for solving related problems. Specifically: Written exam.
Methods Lecture
Language German
Study material
  • Kiyek, Karl-Heinz and Schwarz, Friedrich, Lineare Algebra, Teubner, Stuttgart, 1999.
  • Lidl, R. and Pilz, G. F., Applied abstract algebra, Springer, New York, 1998.
  • Robinson, D. J. S., An Introduction to Abstract Algebra, Walter de Gruyter, Berlin, 2003.
Changing subject? No
Corresponding lecture (*)ist gemeinsam mit 521THEOALGU13: UE Algebra (1,5 ECTS) und einer LVA aus dem Studienfach Vertiefung (1,5 ECTS) im Bachelor Informatik äquivalent zu
INBIPVOALGE: VO Algebra (4,5 ECTS) +
On-site course
Maximum number of participants -
Assignment procedure Direct assignment