7.1-7.3, due on February 15

1. The first two sections didn't seem very difficult. 7.1 didn't really introduce anything except the term "conjecture," and 7.2 was just like a review of stuff we learned earlier. 7.3 didn't seem difficult to understand, but I think it will take some practice before I am able to easily determine whether to prove or disprove something. It was easier when I knew where I was supposed to be going, because I know that I at least got to the right answer, even if I got there the wrong way.

2. 7.1 has been my favorite section of the book so far. It amazes me how much has been discovered in the math world, but how much there still is to learn. It's weird that right now it seems impossible to prove some conjectures, but we can't even imagine the progress that math, science, and technology will make in the future. Just thinking about how much we have progressed in the past 100 years astounds me.