This course covers the basic concepts of linear equation systems, Gaussian elimination, rank solubility, matrices, matrix calculation, inverse of a matrix, determinants, trigonometry, trigonometrical identities, trigonometrical equations, vector calculation, linear dependence and independence, bases, coordinates, scalar product and vector product, straight line equation, distance, area and volume, description of rotation, reflection and orthogonal projection, linear space and interpretation of an mxn-matrix at linear mapping.