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Motivated Analysis–Current Status
The Motivated Analysis course is up to 7 handouts and 27 videos as of September 14. Pretty soon (I hope) the course will get to a few exciting waypoints: Proving Duhamel’s Principle in a general setting, using distributions and convolutions Pinning down … Continue reading
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Getting students thinking right from the start
Here’s a little idea I just thought of, that I’d like to try. I’m always thinking about ways to get students to ask “does this make sense?” “Is this answer reasonable?” Well, what about putting that into the statement of … Continue reading
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Tagged calculus, good questions, math teaching, sense making
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More progress on prime gaps
Courtesy of Not Even Wrong, we have news of further progress on the size of prime gaps. The polymath8 project is readying its paper that proves that gaps no bigger than 4680 occur infinitely often, but apparently they’ve been scooped … Continue reading
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Tagged math news, Maynard, number theory, polymath, prime gaps, prime numbers, Tao
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Calculus and the Holy Grail
I just posted this video on YouTube mixing algebra, calculus, and Medieval Errantry. Will the good knight escape his castle prison and vanquish the evil knight? Watch and find out!
A World of Waves: video series
I haven’t added it yet to “video links”, but I just posted a video series on YouTube about Fourier series and how they have impacted modern science and technology and especially modern mathematics. It’s called “A World of Waves“. It’s … Continue reading
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Tagged 19th century, calculus, Fourier, history, math, mathematics, series, video, YouTube
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A fun question about handedness
Here’s a very quick question, which I actually got from OK Cupid, of all places: if you turn a lefthanded glove insideout, does it (a) stay a lefthanded glove, (b) turn into a righthanded glove, or (c) become neither? Think … Continue reading
A neat multibase identity
I’m about to start teaching my oneweek intensive math workshop for middle and high school students, which I call “Numbers in the Summer”. I hope to report a few fun tidbits from that workshop, for which I use materials from … Continue reading
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Tagged algebra, arithmetic, base b, identities, math, numbers in the summer, PCMI
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