Learning outcomes of the module/competencies
The students

• know the elementary concepts of linear algebra and analytical geometry as well as one-dimensional differential and integral calculus and
• are able to apply these skills in a practical way in the advanced modules of the degree program.

ILV Applied Mathematics 1, 1st semester (3.5 SWS, 5 ECTS Credits)

The module includes the following main topics from the field of linear algebra and analytic geometry

• Vector spaces (vectors, linear independence, generating systems and bases, dimension, subspaces and subspaces)
• Vector products (scalar and vector product, norm, orthogonality)
• Matrix calculation (basic arithmetic operations, determinant and inverse matrix, rank)
• Linear systems of equations (homogeneous and inhomogeneous systems, solvability, Gaussian elimination method)

• Number sequences, limit value concept, continuity of functions
• Concept of the one-dimensional differential, elementary differential calculus
• Concept of the one-dimensional Riemann integral, elementary integral calculus, improper integrals

The following basic literature will be used in the module:

• G. Teschl, S. Teschl: "Mathematik für Informatiker, Band 1", Springer, 2006;
• K. Meyberg, P. Vachenauer: "Höhere Mathematik 1", Springer, 2003;
• K. Burg, et.al.: "Höhere Mathematik für Ingenieure, Band I: Analysis", Springer, 2012;
• K. Burg, et.al.: "Höhere Mathematik für Ingenieure, Band II: Lineare Algebra", Springer, 2012;

• Lecture,
• Treatment of exercise examples, accompanying use of computer algebra systems (MATLAB) and
• digital media for self-study.

Integrated module which is continuously assessed:

• Cooperation,
• Written and oral partial examinations