Date 
Texbook sections/ Topics 

1 
Tue Sep 5 
Introduction: What is Number Theory?; 1.1 Induction  
2 
Thu Sep 7  1.2, Basis Representation Theorem; 2.1 Euclid's Division Lemma; 2.2 Divisibility  
3 
Tue Sep 12 
2.2 Divisibility;
2.4 Fundamental Theorem of Arithmetic 

4 
Thu Sep 14 
3.1 Permuations and
Combinations; 3.4 Generating Functions 

5 
Tue Sep 19 
3.4
Generating Functions 

6 
Thu Sep 21 
HW 1 due; 4.1 Congruences;
4.2 Residue Systems 

7 
Tue Sep 26 
5.1 Linear Congruences


8 
Thu Sep 28 
HW 2 due; 5.2 Fermat's Little Theorem
and Euler's generalization of it; Wilson's theorem.


9 
Tue Oct 3 
Catch up; Review 

10 
Thu Oct 5 
Exam 1 

11 
Tue Oct 10 
5.3 Chinese Remainder Theorem;
5.4 Polynomial Congruences 

12 
Thu Oct 12 
6.1 Combinatorial Study of
φ(n) 

13 
Tue Oct 17 
6.2 Formulas for d(n)
and
σ(n); 6.3 Multiplicative
Functions 

14 
Thu Oct 19 
HW 3 due; 6.4 Möbius Inversion 

15 
Tue Oct 24 
12.1 Introduction to Partitions; 12.2 Graphical Representations;
12.3 Euler's Partition Theorem


16 
Tue Oct 26 
HW 4 due;
13.1 Infinite Products as Generating Functions


17 
Tue Oct 31 
13.2 SeriesProduct Identities


18 
Thu Nov 2 
HW 5 due;
More on partition identities.


19 
Tue Nov 7 
Catch up; Review 

20 
Thu Nov 9 
Exam 2 

21 
Tue Nov 14 
13.2 SeriesProduct
Identities 

22 
Thu Nov 16 
14.2 Euler's pentagonal number theorem


23 
Tue Nov 21 
Special Class in LSH B117
(Livingston
Campus) Ramanujan: The Man Who Loved Numbers 

24 
Tue Nov 28 
7.1 Reduced Residue Systems; 7.2
Primitive Roots mod p 

25 
Thu Nov 30 
HW 6 due; 8.1 Elementary properties of
π(n) 

26 
Tue Dec 5 
9.1 Euler's Criterion; 9.2 The
Legendre Symbol 

27 
Thu Dec 7 
9.3, 9.4 Quadratic Reciprocity 

28 
Tue Dec 12 
Catch up; Review 

Mon Dec 18 811 AM 
Final Examination 