1) Introduction, principle's of well-ordering and induction.

2) divisibility

3) prime numbers

4) greatest common divisor

5) the Euclidean algorithm

6) fundamental theorem of arithmetic

7) factorization methods

8) linear diophantine equations

9) linear diophantine equations

10) MIDTERM 1

11) congruences 

12) linear congruences

13) chinese remainder theorem 

16) Fermat's little theorem

17) primality testing

18) Euler's theorem

19) Euler-Phi function
 
20) M"obius Inversion

21) application (hashing function)

22) application (check digits)

23) MIDTERM 2

24) application (RSA)

25) application (RSA)

26) application (RSA)