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 | 5 |
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 | ||
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 |