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Intermediate Analysis: Countability
In Intermediate Analysis this morning, three students each went to the board to present homework problems on basics of sets and mappings. This is first time that I have incorporated the oral...
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Intermediate Analysis: Cardinality
During I.A. on Tuesday (Holy Cow 7:25 am is early to start a class) two students presented problems at the board. I really enjoy having this part of the class. All of these students have taken courses...
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Intermediate Analysis: Real Numbers
On Thursday, we began the chapter on Real Numbers. We are taking the axiomatic approach to defining the set of real numbers. I demonstrated the difficulty of defining Real Numbers in the techniques...
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Intermediate Analysis: Order Properties
During this morning's class I surprised the students by letting them know that today was my turn to answer homework questions at the board. As I have mentioned in previous posts, the students are being...
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Intermediate Analysis: More order principles and absolute values
We had no homework assignments due on Thursday, so I dove right into lecture. We proved a few more results following from our ordering of the reals. Upon completing these theorems, we were then able to...
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Intermediate Analysis: Wayne’s World
What does "Wayne's World" have to do with Real Analysis? Good question. I inadvertently structured my lecture in such a way that it reminded me of the old...
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Intermediate Analysis: Supremums and Infimums
Thursday morning, three students presented homework problems at the board. I followed this with a lecture introducing the concepts of supremum and infimum of a set. Because I got a little sidetracked,...
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