1. The good news about todays reading is that it wasn't about mathematical induction, so it seemed really easy and read almost like a novel. (Those mathematical induction sections were like reading molasses, even when I understood them.) But it was still fun to understand what some of the past exam questions I saw while studying for exam 1 were talking about. I did try to see an application for all of this, and can't quite seem to find one. I'm hoping that one will come in a later reading section, or from the lecture in class.
2. Exciting times in this chapter...Implications for the win! The most interesting thing by far was seeing the transitive property at work, making a statement vacuously because the hypothesis was always false. I feel like a missing piece of math finally put itself together in my head. I love it when everything I've learned starts to put itself together. The transitive property has made sense before, but I love that this section gave it a new dimension, showing that it works for sets as well.
I think that's what I've enjoyed the most about linear algebra and about this class is the fact that the things we learn aren't necessarily hard or new. The concepts we learn here add a new dimension to what we already know, and make us think in a new direction, rather than just teach us another trick. Theoretical math is so fun.
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