To-do list for REU research project until lunar newyear

This is my to-do list including things I need to learn for the REU project before the lunar new year 

1. definition of Tor functor, Ext Functor and Right/Left -derived functor

2. Methods to compute Tor and Ext

3. Homology axioms in Algebraic Topology

4. Cohomology of  Topological spaces and methods to compute them

5. Group cohomology including cohomology of the finite cyclic groups

6. CW complexes and Cellular homology

7. Simplicial homology of Topological spaces

8. Spectral sequences 

9. A large part of category theory includes Colimits and limits, Abelian category, Coproduct and product, pullback, pushout,... (things which've been marked in the Category book of Mac Lane)

10. Cohomology of groups (written by Brown)