A. Mathematical proofs by induction require a lot of algebra. Common errors could be found in simple algebraic errors. I think that this would be a small fundamental thing that could be difficult. Just remembering how to do certain processes and which rules to follow is what I will need to remember.
B. I liked to story about Gauss in school where he added the sum of the first 100 numbers. Formulas are so cool when they simplify life and make things faster. I liked that.
1. I think the methods in which we have done the proofs have been important. There is a mental process that one has to go through to prove a statement, but the presentation is everything for it to have credit. I feel that presenting our work has been one of the most important things we have studied because it provided an essential foundation for this and higher mathematics.
2. In looking at the example of midterm 1, I saw as I expected questions on definitions and a couple of results to prove.
3. I think that I need to be more sure about the definitions. That I understand them correctly and can apply them in proving results. We have taken results and assuming certain conditions have used definitions to break it down and prove it. I am familiar with the definitions but at times they are still a little cloudy, mostly in set theory. Also a refresher on cross products would be good.
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