Assignments for Weeks 4 and 5
Remember that your first paper is due Oct. 1 (W students, rough draft)
or Oct. 8 (R students, final draft).
Reading
- Read the "Betweenness" part of Chapter 3 (up to p. 119).
(Deemphasize "Affine planes over ordered fields", pp. 117-118.)
- Read Chapter 8 (superficially) with an eye to possibly finding a topic
for either your first or your second paper. (Don't worry if there are
many things in the text of Ch. 8 that you don't yet understand;
unfortunately, many of
them you might not understand even if we waited to the end of this course
to read them.)
Discussion questions
Each team is responsible for leading the class discussion of one of the
propositions in the main text left as exercises:
- ALPHA, EPSILON -- Prop. 3.1(ii) = Ex. 2(a)
- BETA, ZETA -- Prop. 3.3, second part = Ex. 2(b)
- GAMMA, ETA -- Corollary to Prop. 3.3 = Ex. 2(d)
- DELTA, THETA -- Prop. 3.5 = Ex. 3(c)
- ALPHA, IOTA -- Prop. 3.6 = Ex. 5
- BETA, KAPPA -- Prop. 3.7 = Ex. 10 (Requires Ex. 9.)
- GAMMA, LAMBDA -- Prop. 3.8 = Ex. 11
(Requires Ex. 9.) ._. a clearer proof of part
(c)
- DELTA, MU -- Prop. 3.9 = Ex. 12
Homework due Wednesday, Oct. 6 (in Week 6)
- Exercise 1, p. 146.
- Exercise 2(c), p. 146.
- Exercise 3(a,b), p. 146. <-- In 3(a), "CD" should be "CB".
- Exercise 4, p. 146.
- Exercise 15, p. 149 (W). (Explain why each of the
other axioms is still true.)
- Exercise 18, p. 149.
In addition, each team should turn in a single written version of
its proof.