Basic knowledge on initial and boundary value problems, qualitative behaviour and stability for ordinary differential equations

Existence and uniqueness of solutions of initial value problems, elementary methods for solving equations of first order, systems of linear equations of first order and linear equations of higher order (reduction methods, solving methods for the case of constant coefficients), linear two-point boundary value problems, stability and linearisation, qualitative analysis of linear systems, the orbits of autonomous systems in the plane

written and oral parts

Lecture notes for this course are available. erhältlich im Sekretariat des Instituts im 6. Stock, Freihaus see the list in the lecture notes