Thursday, November 15, 2012

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. 

Tuesday, November 13, 2012

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.

Thursday, November 8, 2012

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.

Tuesday, November 6, 2012

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.