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INFB  Mathematics II Course INF
Lecturers : Prof. Dr. Georg Merz   
Term 2
Course Classification : Bachelor Informatik CH 4
Language : Deutsch/Englisch Type VÜ 
Type of examination : PL  Credits
Method of evaluation : written examination 120 min 
Requirements : Mathematics I
Cross References :  
Previous knowledges : Mathematics I 
Aids and special features : Mode of assessment
Additional assessments during the semester may be included in the final grading. 
Teaching aims : They learn about the importance of linear algebra für computer science.v They are able to apply mathematical tools in concrete computer science applications.
They are familiar with mathematical thinking (abstraction, precision, logical reasoning).
They are proficient in using the language of mathematical formulae. v They are able to express concepts in different representations (graphical, formulae,…) and to translate between different representations.v They are familiar with abstract concepts such as vector spaces, linear independence, bases of vector spaces, and linear mappings.
They are experienced in applying the Gauß-Algorithm for solving linear equational systems and for computing the inverse of a square matrix.
They are able to solve the following problems:
• Transformation between different representations of lines and planes in space
• Determining intersections of lines and planes in space
• Checking sets of vectors on linear independence
• Determining the matrix of a linear mapping  
Contents :

matrices, vectors, matrix operations and simple applications
Linear equational systems and the Gauß-Algorithm
Error correcting Codes
Analytic geometry in the plane and in the space: vectors, angles, lines and planes, lineare and affine transformations
Vector spaces, subspaces, bases, and dimension
Lineare mappinmgs and matrices  

Literature : Jänich K.: Lineare Algebra. 11. Aufl. Berlin: Springer Verlag 2008
Schubert M.: Mathematik für Informatiker. Wiesbaden: Vieweg und Teubner Verlag 2009
Socher R.: Mathematik für Informatiker. München: Hanser 2011
Teschl S. und Teschl G.: Mathematik für Informatiker, Band 1, Diskrete Mathematik und Lineare Algebra. 3. Aufl. Berlin, Heidelberg: Springer 2008 


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