After successful completion of the course, students are able to solve the eigenvalue problem für real and complex matrices as well as linear systems of ordinary differential equations with constant coefficients. They have mastered basic computational skills concerning multivariable calculus (Lagrange multipliers, line and surface integrals, ...) Students are able to formulate the integral theorems of Green, Gauß and Stokes and apply them to various practical examples. Finally students are familiar with the basic theory of probability and statistics and can reproduce them coherently.
Linear algebra, ordinary differential equations, systems of linear differential equations, differential calculus, multiple integrals, basic concepts of vector analysis, linear partial differential equations, introduction to statistics.