A 6 digit number abcdef has the following property. Make a table with 6 rows, where column i = 1, 2, 3, 4, 5, 6 is the number abcdef multiplied by i. (If the first row was 123456, the second row would be 123456 x 2 = 246912). The result is a Latin square:…

In this video, I use Cauchy’s integral formula to calculate a pretty crazy integral, without using residues! It’s pretty fascinating, enjoy!

This is another video of mine that was featured on blackpenredpen’s channel. In this video I calculate the derivative of 1/x but in many languages, enjoy!

A simple trick with some neat math behind it. More on Numberphile cards at: http://www.bradyharanblog.com/numberphile-playing-cards
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More cards video: http://bit.ly/Cards_Shuffling

This video features Anastasia…

Some of my favorite proofs of Pythagorean theorem. Enjoy:)

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Today’s video was motivated by an amazing animation of a picture of Homer…

In this video, I calculate an integral by converting it into a double integral and using Fubini’s theorem. Behold the power of multivariable calculus. Enjoy!

A cable of 80 meters (m) is hanging from the top of two poles that are both 50 m from the ground. What is the distance between the two poles, to one decimal place, if the center of the cable is (a) 20 m above ground? (b) 10 m above ground?

Chatterjee, Neil…

In this video (another Peyam Classic), I calculate the integral of 1/(x^4 + 1) using complex analysis, enjoy!

nth derivative of x*e^x. Proving this formula by induction, https://youtu.be/gpjcCPEN-tc

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In this video I calculate a neat integral relating the gamma and zeta functions, enjoy!

In this video, I show you how to find an equation of the line that passes through the point (5,2) and cuts off the least area from the first quadrant by usin...

induction proof for the nth derivative of x*e^x
getting the formula: https://youtu.be/EH0r_8U4ppE


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Programa de Aperfeiçoamento para Professores de Matemática do Ensino Médio - Julho / 2018
Professor: Paulo Cezar - Princípio da Indução
Playlist dos videos: https://goo.gl/WeZZaM
Página do PAPMEM: https://goo.gl/eb9xtG
Programação do PAPMEM: https://goo.gl/YDcMtv…