2.2, due on January 11th

1. The most difficult part of this section for me was probably the transition from writing the congruence classes with brackets around them to writing them without brackets. Simply because I feel like I'll get confused if I'm using real integers and congruence classes at the same time, but maybe you go back to the brackets if you are to avoid confusion. The other thing I found confusing was the Warning at the end of the chapter which said that exponents are ordinary integers-- not elements of Zn. I guess what I don't understand is what they're saying. I understand that 2^4 does not equal 2^1, but that 4=1 in Z3, but I guess I just don't get why they gave us an example of this. Are they just saying that the 4 in 2^4 is just an integer, not a congruence class? Cause that makes sense, I'd never think of it differently, that maybe why I'm confused on why they gave an example of that. Anyway, everything else seemed to be fine, just the transition and the warning.
2. The cool thing that I like about this section, is that theorem 2.6 and 2.7 will help me remember what I'm learning in my 315 class, because in that class we're learning about the ordered sets and the addition and multiplication axioms that apply to them. They're basically the same rules, and so that is really nice because I'll be learning them in 2 different classes, and hopefully be able to remember it better. Overall, I thought this was a very good section, I like learning about Modular arithmetic and congruence classes.