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Week - 1 |
Natural numbers, Peano axioms. |
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Week - 2 |
Divisibility theory of integers, the division algorithm, the greatest common divisor, the Euclidean algorithm. |
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Week - 3 |
Diophantine equation. |
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Week - 4 |
Primes, The fundamental theorem of arithmetic, the sieve of Eratosthenes. |
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Week - 5 |
The theory of congruences, basic properties of congruence, special divisibility tests. |
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Week - 6 |
Linear congruences |
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Week - 7 |
Chinese Remainder theorem. |
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Week - 8 |
Fermat's theorem, Wilson's theorem. |
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Week - 9 |
Euler's Phi-function and Euler's theorem. |
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Week - 10 |
Primitive roots and indices, the order of an integer modulo n. |
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Week - 11 |
Lagrange's theorem |
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Week - 12 |
Primitive roots for primes |
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Week - 13 |
Composite numbers having primitive roots. |
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Week - 14 |
The theory of indices. |
Eskisehir Technical University Info Package