The course Combinatorics I and II is an introduction into the field of enumerative combinatorics.
Learning objective
Upon completion of the course, students are able to classify combinatorial problems and to apply adequate techniques to solve them.
Content
Contents of the lectures Combinatorics I and II: congruence transformation of the plane, symmetry groups of geometric figures, Euler's function, Cayley graphs, formal power series, permutation groups, cycles, Bunside's lemma, cycle index, Polya's theorems, applications to graph theory and isomers.