Section 10

1. I had a hard time with the proofs and the meaning of tautology. The proofs were easy before because it was mostly just using the definition of divides, congruence, and even/odd. It's a bit trickier now because now I have to use the definition of sets, subsets, intersections, unions, and complements. I'm just not sure what I need to define or explain in a proof to be able to get full credit, and the flow of the proof is a bit more unclear now.

2. I'm starting to connect the dots on how everything we have learned so far is coming together. At first it seemed a bit strange that we spent so long talking about sets, then jumped to logic, and then started working on proofs. But now I see that it's all intertwined with each other.

Other questions;

I usually spend about an hour or hour and a half on each written homework assignment. The reading and lecture both helped me understand the homework better, but I would say the lecture was more helpful. I understand a concept better when someone draws it out for me on the board and explains it. The reading helped prepare me for the lecture and also helped to remind me about notation and proof format, but for understanding the material as a whole the lecture was much more valuable.

I think the things that have helped me the most in this class are the lectures like I mentioned above, as well as working on the homework with other people. For the most part I understand the material, but it helps to hear someone else explain it as well, and also to explain it out loud to other people. And if I get stuck on a particular problem, then it helps to have someone right there after class to help me work through it.

I think the thing that would help me the most is to reread the material before the lecture. That way I can already have a clear understanding of what we are doing before the lecture and just ask questions.

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