Basic concepts in algorithmic algebra 2003/04. For 1st year mathematics students. Official name: Algorithms and data structures.

Sets Functions Binomial coefficients Gauss elimination algorithm A problem in geodesy The euclidean algorithm Meeting ideals The algorithms of the Russian peasant Horner's algorithm Groupoids and semigroups Relations Equivalence relations Congruences in a groupoid Homomorphisms and isomorphisms The free monoid generated by an alphabet The free monoid SL(2,N) Continued fractions Linear diophantine equations