Assigned: Mon. 2/28 Due: Mon. 3/6
Read section 4.6, do problem 2.
Read section 5.1, do problems 1, 2.
Look over section 5.2.
Assigned: Mon. 3/1 Due: Mon. 3/6
Consider the real projective plane that we discussed earlier in the term. In section 5.1, we described a way to canonically describe each projective point and projective line over D^3, where D is a division ring. For R, plot the projective points according to this prescription. What do the projective lines look like? (Draw a few examples.) Which point on our original model of the real projective plane does the canonical point <0, sqrt(3), 1> correspond to? Draw a picture which indicates how the two points on the two models are related.
Read section 5.2.
Assigned: Fri. 3/3 Due: Mon. 3/6
From section 5.2, do problem 2. For part c, just indicate what might go wrong with a division ring.
Read section 5.3.
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