Syllabus for the final exam:

Be prepared to state and apply:
Divisibility, gcd [2.2]
Fermat, Euler, Wilson theorems [5.2]
Chinese Remainder theorem [5.3]
Quadratic reciprocity [notes]
Primitive roots [notes]
Two and four squares theorems [notes]

Be prepared to prove:
 [all from notes]
1. Dirichlet’s convolution theorem, Moebius inversion 
2. q-binomial theorem, double/triple product identities
3. Rogers-Ramanujan identity 
4. WZ lemma, Bailey lemma

Also be prepared to solve problems similar to homework.