250024 VO Linear algebra and geometry 2 (2014W)

The lecture course is a continuation of the lecture course "Linerare Algebra und Geometrie 1" which was held in the summer term. We plan to cover the following topics.

1. Multilinear Algebra. The cases of 1-linear maps (=linear forms) and 2-linear mappings (=bilinear forms)
have already been dealt with and we now want to consider more general n-linear maps. In particular we want to study the exterior algebra which is important in many applications.

2. Geometry in euclidian spaces and the orthogonal group. The orthogonal group consists of all mappings which preserve the metric. We want to look closer at its elements and its structure. If time opermits we will
also briefly look at the symplectic groups.

3. Projective Geometry. If time permits we will briefly introduce the beginnings of projective geometry.