Discrete mathematics

Briefly: logic, set theory, functions, relations, induction and recursion, combinatorics, modular artihmetics, permutation groups and symmetric groups

In more detail:

1. Set theory and logic: basic concepts and operations in set theory and logic, proof techniques and logical inference, induction and recursion
2. Relations and functions, equivalence relation, bijection, cardinality
3. Combinatorics: basic concepts, multiplication principle, inclusion-exclusion principle and pigeonhole principle
4. Number theory: congruences, modular arithmetics
5. Permutations and group theory: permutation as combination of transpositions, sign of a permutation, permutation groups and symmetry groups.

The course includes Electronic Exam on campus.

More information in the Tampere University study guide.

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