Here is the material which was covered in the course.

Proposition 1.2.2.
Proposition 1.3.1.
Theorem 1.4.2.
Theorem 1.8.1.
Proposition 4.2.6.
Theorem 4.2.7.
Corollary 4.2.8.
Corollary 4.2.9.
Proposition 4.4.1.
Theorem 2.1.2.
Corollary 2.1.4.
Corollary 2.1.5.
Corollary 2.2.2.
Theorem 2.2.1.
Theorem 3.3.1.
Proposition 5.1.2.
Proposition 5.2.1.
Proposition 5.2.2.
Corollary 5.2.3.
Theorem 5.4.2.
ALL of chapter 7
Theorem 3.6.1.
Theorem 9.1.1.
Theorem 11.1.3.
Theorem 9.1.2.
Theorem 9.1.4.
Theorem 9.2.2.
Theorem 11.2.2.

After this, we will Roth's theorem on arithmetic progressions using the Szemeredi regularity lemma but this will not be on the oral exam.