The course consists mainly of linear algebra, differential equations and linear programming.
The part on linear algebra deals with several aspects of matrices and vectors. It contains the following topics: rank of a matrix, row-echelon form, LU-decomposition, subspaces and basis, orthogonality of vectors, eigenvalues and eigenvectors, diagonalisation of square matrices, systems of linear difference equations, quadratic forms.
In the part on differential equations we treat the most common solution techniques for e.g. separable differential equations and (systems of) linear differential equations (of higher order). We also consider some aspects of the qualitative study of differential equations. We also study line integrals, necessary in mechanics.
In the part on Linear Programming, we introuduce the most common optimalization technique: that of the simplex method.
Each part contains several applications in economy and technology.