Assignments for Weeks 6 and 7
Midterm test on Thursday, March 4 (changed to March 11),
covers through
"Betweenness", and also "Congruence" up through Proposition 3.11.
Revised paper is due Friday, March 12 (changed to Monday, March 22).
Reading
Read the remainder of Chapter 3.
Deemphasize the three proofs on pp. 133-134 and 136-137, the "notes for
advanced students" on pp. 141-142 and 143-144, and any field theory you don't
understand on pp. 139-141.
Discussion questions
We will work on these in class:
- Exercises 21, 22, 23, p. 150. (Prop. 3.13;
in addition to their intrinsic importance, these
are preparation for the assigned homework, Ex. 31.)
- Exercise 35, p. 152.
- If time permits, Exercises 29 (Prop. 3.20) and 33, p. 152.
Homework due Monday, March 15 (changed to March 17)
- Exercise 26, p. 151. (Prop. 3.17)
- Exercise 27, p. 152.
(Prop. 3.18)
- Formulate and prove an analogue of Prop. 3.12 for
angles. (W)
- Exercise 31, p. 152. (Use the lemma you proved
in the previous problem! Include a statement of your lemma (not the
proof) in the regular homework paper, so the grader will know what you
are trying to do there.)
- Exercise 32, p. 152. (Prop. 3.22)
- Exercise 34, p. 152.
- Read the proofs in Exercises 20 and 24 (Props.
3.11 and 3.14) but don't hand anything in.