What factorial do we have to remove from 1!2!3!4!...20! so that the result will be a perfect square? This is a very nice factorial and number theory type of puzzle. The key is to do the prime factorization first! Give it a try before you look at the solution.…

Confused 1+2+3+…=-1/12 comments originating from that infamous Numberphile video keep flooding the comment sections of my and other math YouTubers videos. And so I think it’s time to have another serious go at setting the record straight by having a really…

mathematical curve outputted from a specific pair of parametric equations

I will just call this "THE CALC2 REVIEW" since this involves sooooo many skills from calc 2. I integrate a power series, did integration by parts (with the DI method, of course), used the L'Hoptial's Rule, Partial fractions, saw a telescoping series, and…

The Online Math Olympiad is a contest for high school students with challenging problem. This 2016 test had an average score of 9 out of 30. This video is an adaption of problem 16 which is an interesting probability puzzle. At the end of day 0, six magical…

The usual definition for a factorial only works for positive whole numbers, but how can we take the factorial of any number? Here we will discuss the Pi Function which is defined in terms of an improper integral and it is also the cousin of the Gamma function.…

Programa de Iniciação Científica: Introdução à Álgebra Linear - Aula 04 Professor: Jorge Passamani Zubelli http://lamca.impa.br/linear_algebra_2018 Aulas ant...