Tuesday, April 8, 2014

Section 12.5, Due on Friday April 11th

Continuity

What did I find difficult?
I like continuity.  Because this is the end of the semester, this is difficult for me to focus and understand.   I read through the chapter, but will need to complete the last homework assignment to understand exactly how to prove continuity.  I come to the table with a pretty good grasp of what continuity is, from my calculus experience.  The whole concept of proving is difficult to understand with just one pass over the reading material.  I love the graph on page 291.  That helps me understand continuity.

What did I find interesting/fun?
I really enjoy the whole concept of continuity.  It's fun to think about continuity, and a line that continues.  The whole discontinuous thing is something that never really pleased me mathematically.  I understand why things are discontinuous, but I like continuous functions so much better.  It just makes more sense to be connected, and not to be disparate.  I look forward to learning more on how to prove continuous functions.

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