You are encouraged to try as many of the exercises as possible from each
of the sections covered in class, and I will be happy to discuss any of
the exercises beyond those included on this list.
Additionally, make sure that you're keeping up on the journal writing. I'm looking for 1-2 entries a week on things we do in class that you find interesting. (You'll find that I drop frequent suggestions in class).
Assigned Monday, 2/9:
Prove, a la the Ramsey theorem, that you cannot color the numbers 1 through 9 red and blue so that there is no monochromatic arithmetic progression of length 3. (Recall that an arithmetic progression is a set of three numbers of the form a, a+t, a+2t)
Read Sections 10 and 11
Complete the following problems:
Section 9: 3,7,8,9,10,11,12
Assigned Wednesday, 2/11:
Section 10: 3, 4, 5, 6
Assigned Friday, 2/13:
Section 11: 3, 4, 5, 11