This entry is from Winter semester 2018/19 and might be obsolete. No current equivalent could be found.

# CS 180 — Basic Linear Algebra (dt. Grundlagen der linearen Algebra)

 Level, degree of commitment Basic module, required module Forms of teaching and learning,workload Lecture (4 SWS), recitation class (2 SWS), 270 hours (90 h attendance, 180 h private study) Credit points,formal requirements 9 CP Course requirement(s): Written examination Examination type: Successful completion of at least 50 percent of the points from the weekly exercises. Language,Grading German,The grading is done with 0 to 15 points according to the examination regulations for the degree program B.Sc. Computer Science. Duration,frequency One semester, each winter semester Person in charge of the module's outline Prof. Dr. István Heckenberger

## Contents

• Set theoretic and algebraic fundamentals
• - Elements of Logic, Basics of Set Theory, Mappings
• - Groups, recursions, fields
• Vector spaces and linear mappings
• - Basis, dimensions, quotient spaces
• - homomorphism theorem
• Matrices and linear systems of equations
• - Representation of linear maps, base change
• - Solve algorithms, determinants
• Unitary vector spaces
• - Scalar products, orthogonality
• - Eigenvalues, Spectral Theory

## Qualification Goals

The students shall

• understand the basic principles of linear algebra, in particular the meaning of linear structures and algorithms,
• be able to recognize and describe cross-connections to their own discipline,
• acquire the basic mathematical knowledge for further studies,
• practice mathematical working methods (developing mathematical intuition and its formal foundation, understanding the strict axiomatic structure of mathematical fields),
• train their oral communication skills in the exercises by practicing free speech in front of an audience and in discussion.

None.

## Applicability

Module imported from B.Sc. Computer Science.

It can be attended at FB12 in study program(s)

• B.Sc. Data Science
• B.Sc. Computer Science
• LAaG Computer Science

When studying B.Sc. Data Science, this module must be completed in the study area Basic Modules in Mathematics.