Monday, February 20, 2012

Section 6.1-6.2, Due Feb. 21, 2012

Difficult:

Overall I think I understood most of the ideas behind this section. The difficulty for me is trying to become comfortable enough with this material to be able to complete problems on my own. For instance, the example on the top of page 141 was somewhat confusing to me. With most of the theorems and examples that I read I start out somewhat intimidated and unsure of how I would go about proving it. I am still wrestling with the definitions of rings, fields, ideals, etc. in my head trying to get myself more comfortable in thinking about them in abstract ways. But, almost always, as soon as I start reading the solution to an example or a proof I always think, "oh Duh! Of course that is how you would do it!" Which is very frustrating because then that means that I am so close to being able to think about these things on my own. I just hope that I grasp everything before the next test.

Reflective:

Math never ceases to astonish me! I just love how simple everything is explained in this book! Even though this material is still very difficult, it is quite comforting knowing that there is always a logical and simple way of approaching each problem. It helps give me a model for how I should go about proving my homework problems and problems on the test. :)

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