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t.BA.ITM.LA.19HS (Linear Algebra)
Module: Linear Algebra
This information was generated on: 28 May 2024
No.
t.BA.ITM.LA.19HS
Title
Linear Algebra
Organised by
T IAMP
Credits
4
Description
Version: 2.0 start 01 August 2019
Short description
The module teaches the basics of linear algebra. Among other things, you will learn how to work with linear systems of equations, vectors and matrices.
Module coordinator
Reif Monika (reif)
Learning objectives (competencies)
Objectives
Competences
Taxonomy levels
You can check linear equation systems for their (unambiguous) solvability.
F,M
K3
You know algorithms for solving linear systems of equations and apply them.
F,M
K2, K3
You are familiar with the basic arithmetic operations of vector geometry
F,M
K2, K3
You know the abstract concept of a vector space and its description (sub)vector space, basis, dimension, generating system, linear (un)dependency.
F,M
K2, K3
You are familiar with the matrix calculation and can apply it.
F,M
K2, K3
You understand the relation between linear transformation and the matrix calculus.
F,M
K2, K3
Module contents
Linear systems of equations:
Solvability criteria
Solution method (Gauss-method, Gauss-Jordan method)
Vector calculus
Arithmetic operations
Vectors in plane and space
Analytical geometry of straight lines and planes
Vector spaces:
General vector spaces and subspaces
Linear independence, basis, dimension
Matrix calculation
Special matrices
Arithmetic operations
Inverse Matrix
Determinant
Linear transforamation
Linear transformation and matrices
Dimension theorem
Optional:
Algebraic structures
Teaching materials
Lecture note
Supplementary literature
Teschl, G; Teschl,S.: Mathematik für Informatiker
Prerequisites
Knowledge of the mathematics of the technical vocational baccalaureate
Knowledge of discrete mathematics
Teaching language
(X) German ( ) English
Part of International Profile
( ) Yes (X) No
Module structure
Type 2b
For more details please click on this link:
T_CL_Modulauspraegungen_SM2025
Exams
Description
Type
Form
Scope
Grade
Weighting
Graded assignments during teaching semester
regular assessments
written
max. 45 minutes each
grade
20% bonus system
End-of-semester exam
exam
written
90 minutes
grade
80% at least
Remarks
During the first week of instruction, a module agreement will be communicated which is valid for all module courses and in which the exact number and extent of the graded assignments during teaching semester will be determined.
Legal basis
The module description is part of the legal basis in addition to the general academic regulations. It is binding. During the first week of the semester a written and communicated supplement can specify the module description in more detail.
Note
Additional available versions:
1.0 start 01 February 2019
Course: Lineare Algebra - Vorlesung
No.
t.BA.ITM.LA.19HS.V
Title
Lineare Algebra - Vorlesung
Note
No module description is available in the system for the cut-off date of 01 August 2099.