This entry is from Winter semester 2019/20 and might be obsolete. You can find a current equivalent here.

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

 Level, degree of commitment Basic module, depends on importing study program 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): Successful completion of at least 50 percent of the points from the weekly exercises. Examination type: Written examination 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. Origin B.Sc. Computer Science Duration,frequency One semester, each winter semester Person in charge of the module's outline Prof. Dr. István Heckenberger

## Contents

Basics of the mathematical language

• Basics of logic and sets
• Proof methods
• Maps, injectivity and surjectivity
• Number spaces, complex numbers
• Fields
• Elementary arithmetical techniques, polynomial division

Vector spaces and linear maps

• Basis, dimension
• Matrices, systems of linear equations
• Solving algorithms, determinants
• Representation of linear maps, change of basis
• Scalar product, orthogonality
• Orthogonal projections, rotations and reflections
• Eigenvalues, diagonalizability

## 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

The module can be attended at FB12 in study program(s)

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

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

The module can also be used in other study programs (export module).