- be able to solve simple exercises related to the theory from the lecture
- be able to prove simple theorems and results related to the theory from the lecture
- be able to present the theory from the lecture well
- be able to generalize results from the lecture
- be able to work independently on related topics beyond the lecture material using literature
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Divisibility of integers, prime numbers, GCD, Euclidean algorithm, Diophantine equations, Pythagorean triples, digit expansions, congruences and residue classes, application: perpetual calendar, algebraic structures (ring, integral domain, field), prime residue class group, Euler's totient function, RSA cryptosystem, constructions with compass and ruler
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