1. The most difficult part of this reading is going to be understanding how to keep the rules for what is in a group G and what the rules for the binary operation of G are. After I read the section, I skimmed over the homework problems, and with problems like 4 and others, I found myself getting confused with the rules for what goes in the group as an element and then what the binary operation * is. That will be the most difficult part with this new idea of groups.
2. The most interesting part of this section is that I have seen all this before - I just cannot remember where! Maybe we did stuff like this in linear algebra... or calculus... or statistics... or math 300. I actually cannot remember, but as I was reading, I felt like I already knew how to do it all. So I know this first look at groups connects with math I have learned before, I just cannot remember where. But I do think it is cool because then it makes it feel like learning about groups will be knowledge that will be very attainable, which I really think is cool.
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