Sets. Finite and infinite sets. Countable sets. The diagonalizatiom method. The inclusion-exclusion principle. Mathematical induction. Combinations and permutations. Introduction to format languages and finite automata. Grammars. Groups, rings and fields. Isomorphisms, automorphisms and homeomorphisms. Permutation groups. Relations. The job scheduling problem. Binary relations, lattices, partially ordered sets. Equivalence relations and partitions. Introduction to Boolean algebra.

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