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