Thursday, January 6, 2011
1.1-1.3, due on January 7
1. (Difficult) "What was the most difficult part of the material for you?"
The most difficult part of the reading was about how to apply the division algorithm. I understand what that theorem states, and I can follow the proof fairly sufficiently, but I do not understand how to apply it. When using just variables when applying it to other proofs, conjectures, etc. I get really lost on how to use the algorithm to prove something else when all the numbers are just variables. I get very lost.
2. (Reflective) Write something reflective about the reading. This could be the answer to the question "What was the most interesting part of the material?" or "How does this material connect to something else you have learned in mathematics?" or "How is this material useful/relevant to your intellectual or career interests?" or something else.
This material connects to some of the math material I studied in Math 300. I remember studying the properties and theorems of primes and relative primes. For example, we learned about the fundamental theorem of arithmetic and what it means to be relatively prime. We studied the theorems in relation to what Euclid did. It is interesting to then see some of what he did and what we studied appear in Abstract Algebra. I like being able to build on what we studied in History of Math in Abstract Algebra.
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