Sunday, February 13, 2011

5.1, due on Monday, February 14

1. The most difficult part of this reading is not the new theorems and properties, because they are things we have already seen before with mods just applied to functions and polynomials. The most difficult part of this section came from looking at the homework problems and realizing that I have to remember all the other theorems and properties and concepts we have discussed up until now and apply it to this new twist on the topic (like having to remember how to list different congruence classes and apply that to polynomials and the properties of the nonzero constant polynomial). That is hard because I do not remember things or memorize quickly. I have to look in the book and there are too many sections to do this to remember things to use for the homework. So this is the most difficult part.

2. The most interesting part of this reading is seeing mods and congruence classes applied to polynomials and fields. I would have never seen this coming, but I guess this has happened a lot in this course - the building on of the same theorems applied to different things - that I should have expected polynomials to come back into congruence classes.

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