The students will study the material independently, assisted by (online) meetings. There will be a few assignments to complete. The student participation will be evaluated based on completion of the assignments as well as general participation.
Below is a detailed list of topics to be covered, with reference to the corresponding textbook sections and the relevant homework assignments.
Topic  Reading Material  Homework Assignment 
1. Models of Set Theory


Assignment 1 
2. Martin's Axiom MA
Remark: the axiom may seem very arbitrary, but it is introduced first as a way of getting used to the terminology used in forcing theory later 
 
3. Introduction to forcing

 Assignment 2 
4. The technicalities of forcing

 
5. The ZFC Axioms

 
6. Forcing ¬CH.


Assignment 3 
7. Finer properties of forcing ¬CH

 Assignment 4 