After successful completion of the course, students are able to independently wield standard techniques in ordinary differential equations. They can solve certain classes of differential equations and have understood the basic analytical techniques. They are familiar with and have understood the course content given below.
fundamental solution methods, Existence and uniqueness of the solution to initial value problems, systems of linear differential equations of first order an linear differential equations of higher order, fundamentals of qualitative theory, linear boundary problems, Sturm-Liouville theory, applications of differential equations
In class the notions, concepts and methods of the above-mentionend mathematical topics are motivated, explained and illustrated through examples. Lecture notes and suitable textbooks should be used in addition.