Monthly Archives: October 2025

Chat GPT on the midterm

Posted on October 15, 2025 by Persiflage

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

Posted on October 13, 2025 by Persiflage

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

Posted on October 9, 2025 by Persiflage

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

Posted on October 4, 2025 by Persiflage

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 →

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Some common proof mistakes

Posted on October 2, 2025 by Persiflage

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 →

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