11.3-11.4 due Nov 15, 2012

1. The hardest thing to understand was the proof for Theorem 11.8 which was the one with the 2 conditions.
2. Right when I read the section title for 11.3 I thought of elementary school when we learned about greatest common factors. I love how we yet again bring up concepts that I learned years and years ago. 

11.1-11.2 due Nov 14, 2012

1. The most difficult thing to understand was the proof for the The Division Algorithm, especially the 2nd half.
2. I found these sections to be much easier to understand that the previous 2 weeks. The examples in here are actual numbers and help me to understand the concepts. It is also nice that we are reviewing thing that I have already learned, where chapter 10 was all new.

10.5 part 1 due 11/9/12

1. I assume that "up to" means up to and including so I read theorem 10.18 in addition to the pages before it and I would have to say the most difficult thing to understand was The Schroder–Bernstein Theorem, then again it was all difficult.
2. I found it very difficult to understand anything in this section. This is probably because I have a hard time understanding all of chapter 10. Math is all about building on idea on another. If we can't understand how to add/sub and mult/div then we can not understand how to do algebra. Same concept applies to me with this class. I need to be able to understand the section before or how can i expect to understand this new section.

10.4 due Nov 7

1. Most difficult thing to understand was the The Continuum Hypothesis
2. I found theorem 10.14 very interesting about how P(A) and 2^A are numerically equivalent.

10.1 due Oct 31

1. I understood the description of numerically equivalent sets, but once I got to the Theorem, it was hard to understand.
2. I thought that it was interesting that we could determine if 2 sets have the same cardinality if they are bijective. I have never thought of that and now it is easy to remember.

8.3-8.4 due Oct 12

1. The proof that was for Theorm 8.4 was the most confusing
2. I find these sections very interesting. So far I have enjoyed learning about relation proofs and they seem to make a lot of sense. I thought most of the examples for this section were very clear and easy to understand. It makes it easier to follow the discussion in class if the reading was easy to understand.

8.1-8.2 due Oct 3

1. symmetric and transitive relations were most confusing subject in these chapters.
2. Section 8.1 was very easy to understand and it reminded me lot of math in elementary school and middle school. Back then math came very easy and I didn't have to work at all to understand what was going on. It has been difficult in college not always understanding as I did in those earlier years, but I find I feel a great sense of accomplishment when I understand math that at one time was confusing (aka. this class :) )