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Author Archives: Persiflage
Chat GPT on the midterm
I fed in the latex question file to ChatGPT, although instead of the image of the axioms P1-P12 I referred it to the axioms in Spivak’s book. It came up with the following, which I would grade as 80/100. ChatGPT … Continue reading
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Midterm
The mean for the midterm was 64 (by section: 59 for one section and 72 for the other). A smoothed density graph of the grades is as follows: You can also find solutions at this link.
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Tips for Homework submissions
A reminder about the HW and grading: The grading on each individual HW might have a different total, but the points for each HW will be the same. Your lowest normalized HW score will be dropped, and your HW score … Continue reading
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The Sticks Game
Although I did this in class, I thought it might be useful to write out a proof here. There are many variations, but it should look something quite similar to this. Claim: For \(n = 0,1,2,\ldots\) a non-negative integer, the … Continue reading
Some common proof mistakes
Let’s discuss a number of classic mistakes one can make when writing down a proof. THE WRONG ORDER: We start with proofs where the argument goes in the wrong order. Claim: For all numbers \(a\) and \(b\), there is an … Continue reading
Hello World!
This will be the class blog for 16100 in Autumn 2025, and will be an occasional supplement to the regular course lectures. (I started blogging about courses during the pandemic, but students find the blog useful so have continued to … Continue reading
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