Week 1 - Numbers, Induction and Euclid Algorithm
Week 2 - Bezout's Identity, Unique Factorization and the Fundamental Theorem of Arithmetic
Week 3 - Primes, Exponential Notation and Infinity of Primes
Week 4 - Clock Arithmetic, Congruences and Basic Properties of Congruence Modulo M.
Week 5 - Congruence Classes, Arithmetic Modulo M. Complete Sets of Representatives and Units, Application of Congruences.
Week 6 - Fiends and Rings
Week 7 - Homomorphisms
Week 8 - Fermat's and Euler's Theorems
Week 9 - Application of Fermat's and Euler's Theorems
Week 10 - Groups, agrange's Theorem, Some Non-Abelian groups.
Week 11 - The Chinese remainder Theorem, Product of Rings and Euler's
O - function
Week 12 - Polynomials
Week 13 - Division Theorem, Primitive Roots, Factorization Into Irreducible Polynomials
Week 14 - The Fundamental Theorem of Algebra Irreducible Polynomials over the Ring of Integers
Week 15 - Irreducible Polynomials over a Finite Field. Every Finite Field has the order pn for some prime p and a positive integer n.