Sections 2.1 and 2.2, due August 31

1. I am still a little confused by the way this book defines a ring. What does "a set with two binary operations mean" mean? In the lecture you kept saying the in the set up of the definition the closure property was included, so there were only 6 axioms. Is that what these binary operations relate to? How so?

2. This was a lot of review from abstract algebra, so it seems like this class will connect a lot with abstract algebra. I also liked that this even related to stuff we learned in high school. For example of x

Introduction, due on August 31

I am a senior studying math education. I would like to teach and coach basketball at the high school level after graduation. I have taken linear algebra, abstract algebra, theory of anaylsis, and differential equations. I don't know much about this class. I am taking it because I need it to graduate and know some other people in the class already that I hope to work with. My least effective math teachers have been those who strictly lecture without really answering questions because they just want to cover the necessary material. More effective teaching answer questions and noticing when the majority of the class is struggling, so they can focus in and reteach that concept. I just finished playing 4 years with the BYU Women's Basketball team.