Here are the units covered in the lecture notes. The exercises are attached, but the problem sets were subdivided somewhat differently; this division appears on the course home page.
Date 
Section(s) 
Topics 
Mon 2/5 

(registration day) 
Wed 2/7 (KSK away) 
notes; Davenport: 8, 18; Iwaniec: 5.4, 5.6 
Introduction to the course; the Riemann zeta function, approach to the prime number theorem 
Fri 2/9 (KSK away) 
see 2/7 
Proof of the prime number theorem 
Mon 2/12 
notes; Iwaniec: 1.all 
Dirichlet series, arithmetic functions 
Wed 2/14 
notes; Davenport: 4; Iwaniec: 2.3 
Dirichlet characters, Dirichlet $L$series 
Fri 2/16 
see 2/14 
Nonvanishing of Lseries on the line Re(s)=1 
Mon 2/19 

NO LECTURE (Presidents Day) 
Tue 2/20 (MIT Monday) 
notes; Davenport: 4; Iwaniec: 2.3, 3.2; 
Dirichlet and natural density, Fourier analysis; Dirichlet's theorem 
Wed 2/21 
see 2/20; notes; Davenport: 20, 22, 8; Iwaniec: 4.6, 5.6 
Prime number theorem in arithmetic progressions; functional equation for zeta 
Fri 2/23 
see 2/21 
Functional equation for zeta (continued) 
Mon 2/26 
notes; Davenport: 9; Iwaniec: 4.6 
Functional equations for Dirichlet Lfunctions 
Wed 2/28 
notes; Davenport: 17 
Error bounds in the prime number theorem; the Riemann hypothesis 
Fri 3/2 
notes; Davenport: 11, 13 
Zeroes of zeta in the critical strip; a zerofree region 
Mon 3/5 
see 3/2; notes; Davenport 17 
A zerofree region; von Mangoldt's formula 
Wed 3/7 
see 3/5 
von Mangoldt's formula 
Fri 3/9 
see 3/5; notes; Davenport, 14, 19; Iwaniec, 5.4, 5.6 
von Mangoldt's formula; error bounds in arithmetic progressions 
Mon 3/12 

NO LECTURE (KSK away) 
Wed 3/14 

NO LECTURE (KSK away) 
Fri 3/16 
see 3/9 
Error bounds in arithmetic progressions 
Mon 3/19 
notes; Iwaniec: 6.1, 6.2 
Introduction to sieve methods: the sieve of Eratosthenes 
Wed 3/21 

Guest lecture by Ben Green 
Fri 3/23 
see 3/19; notes; Iwaniec: 6.2, 6.3 
The sieve of Eratosthenes; Brun's combinatorial sieve 
3/2630 

NO LECTURES (spring break) 
Mon 4/2 
see 3/23 
Brun's combinatorial sieve 
Wed 4/4 
notes; Iwaniec: 6.5 
The Selberg sieve 
Fri 4/6 
see 4/4; notes; Iwaniec: 6.66.8 
The Selberg sieve; applying the Selberg sieve 
Mon 4/9 
notes; Davenport: 27; Iwaniec: 7.3, 7.4 
Introduction to large sieve inequalities 
Wed 4/11 
notes; Davenport: 27; Iwaniec: 7.5 
A multiplicative large sieve inequality; an application of the large sieve 
Fri 4/13 
notes; Davenport: 28; Iwaniec: 17.117.4 
The BombieriVinogradov theorem (statement) 
Mon 4/16 

NO LECTURE (Patriots Day) 
Wed 4/18 
notes; Davenport: 28; Iwaniec: 17.117.4 
The BombieriVinogradov theorem (proof) 
Fri 4/20 

NO LECTURE (KSK away) 
Mon 4/23 
see 4/18 
The BombieriVinogradov theorem (proof) 
Wed 4/25 
see 4/18; notes 
The BombieriVinogradov theorem (proof); prime ktuples 
Fri 4/27 
Short gaps between primes 

Mon 4/30 
see 4/27 
Short gaps between primes 
Wed 5/2 
notes; also see 4/27 
Short gaps between primes (proofs) 
Fri 5/4 
see 5/2 
Short gaps between primes (proofs) 
Mon 5/7 
see 5/4 
Short gaps between primes (proofs) 
Wed 5/9 
Artin Lfunctions and the Chebotarev density theorem 

Fri 5/11 
see 5/9 
Artin Lfunctions 
Mon 5/14 
Equidistribution in compact groups 

Wed 5/16 
see 5/14; notes 
Elliptic curves; the SatoTate distribution 