Linear Algebra and Discrete Structures 1
Module MA1101
This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.
Module version of WS 2020/1
There are historic module descriptions of this module. A module description is valid until replaced by a newer one.
Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.
| available module versions | |||
|---|---|---|---|
| SS 2021 | WS 2020/1 | SS 2013 | WS 2012/3 |
Basic Information
MA1101 is a semester module in German language at Bachelor’s level which is offered in winter semester.
This module description is valid from WS 2012/3 to SS 2021.
| Total workload | Contact hours | Credits (ECTS) |
|---|---|---|
| 300 h | 105 h | 10 CP |
Content, Learning Outcome and Preconditions
Content
Basic structures (sets, maps, relations, graphs, groups, fields, permutations),
Vector spaces (subspaces, quotient spaces, basis, dimension, direct sum, independence systems and matroids)
Linear Maps (isomorphisms, kernel, range, dual spaces),
Matrix calculus (System of linear equations, inverse, rank, basis transformations, incidence matrices)
Vector spaces (subspaces, quotient spaces, basis, dimension, direct sum, independence systems and matroids)
Linear Maps (isomorphisms, kernel, range, dual spaces),
Matrix calculus (System of linear equations, inverse, rank, basis transformations, incidence matrices)
Learning Outcome
After successful completion of this module students are able to handle basic axiomatic structures, to understand and to use the corresponding terminology and to connect the structures with graphical depiction.
Students will have obtained first experience in abstract formalization and gained basic skills in exact reasoning. They will have learned the basic structures of linear algebra and discrete mathematics and know how to handle them. They have the ability to translate between algebra and matrix calculus.
Students will have obtained first experience in abstract formalization and gained basic skills in exact reasoning. They will have learned the basic structures of linear algebra and discrete mathematics and know how to handle them. They have the ability to translate between algebra and matrix calculus.
Preconditions
Mathematikkenntnisse im Umfang der allgemeinen Hochschulreife
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
Learning and Teaching Methods
lecture, tutorial, supplement lecture
Media
blackboard, exercise sheets
Literature
Fischer Gerd (2005): Lineare Algebra, Vieweg, 15. Auflage.
Module Exam
Description of exams and course work
The module examination is based on a written exam (90 minutes). Students have to deal with basic structures of linear algebra and discrete mathematics and calculate them. They are able to abstract and argue precisely under time pressure.
Exam Repetition
The exam may be repeated at the end of the semester.