Teaching myself abstract algebra
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When you tutor the kid who cheated their way through school #shorts
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#shorts
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Approximations. The engineering way.
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What changes? | A lesson in statistics, incentives, and internet stupidity
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Is there (always) a line that passes through exactly 2 points?
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Video summary of the Sylvester–Gallai theorem.
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What I've been reading | STEM book recommendations
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STEM students in non STEM classes be like...
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Random things
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An inverted pendulum puzzle
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The Bolzano–Weierstrass theorem, a proof from real analysis
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Teaching myself an upper level pure math course (we almost died)
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00:00 Intro
2:41 What is real analysis?
5:30 How long did the book take me?
6:18 How to approach practice problems
8:08 Did I like the course?
8:42 Quick example
10:53 Advice for self teaching
15:38 Textbook I used
17:50 Ending/Sponsorship
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The intuition and implications of the complex derivative
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Could you avoid being hit by a laser if you were in a room of mirrors?
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A donut is not a sphere | Things you can do on one surface but not the other
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Why imaginary numbers are needed to understand the radius of convergence
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Engineering students be like...(Part 2)
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The applications of non-euclidean distance | Metric Spaces
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If the hour and minute hand on a clock look identical, can you always determine the time?
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SPOILER DOWN BELOW
The answer is no, you cannot always tell the time on this clock, but most of the time you can. There are 132 moments/configurations in a 12 hour period where you wouldn't know the time because at those moments either hand could be the hour hand and the configuration would be valid. The first of those 132 moments comes up just after 12:05 and then roughly every 5 minutes you get another configuration where you couldn't tell the time.
What happens at infinity? - The Cantor set
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Things get weird at infinity
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What would we see if we lived on a hypersphere?
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We likely live in one of these 18 universes
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These changed how I think about higher dimensions
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The real world applications of the dot product
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This is why you're learning differential equations
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