Es ist eine neuere Version 2023W dieser LV im Curriculum Bachelor's programme Technical Mathematics 2024W vorhanden.
Workload
Education level
Study areas
Responsible person
Hours per week
Coordinating university
7,5 ECTS
B1 - Bachelor's programme 1. year
Mathematics
Erhard Aichinger
5 hpw
Johannes Kepler University Linz
Detailed information
Original study plan
Bachelor's programme Technical Mathematics 2012W
Objectives
This lecture - as well as the corresponding basic lecture Analysis II - sets the fundaments for the whole study of mathematics. On general grounds, it introduces to most important mathematical notions and concepts needed for the courses of the curriculum; in particular, the students should develop an understanding for linear (and non-linear) problems. The students should develop a working knowledge of fundamental methods; in addition, the connection between algebra and geometry should be made transparent.
Subject
Contents of Linear Algebra I and II: Fundamental concepts of algebra; numbers, functions, and maps. Vector spaces and vector calculus. Matrices, determinants, inner product spaces and eigenvalue problems. Solutions of systems of linear equations. Foundations
of group theory.
