Example of an infinite-dimensional space, and why its dimension is infinity

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What does a matrix with rank 1 look like? Watch this video and find out! Featuring the outer product, a close companion to the dot product

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I will introduce the Cauchy-Euler differential equations, aka the equidimensional equation, nonlinear second order differential equation ax^2y''+bxy'+cy=0,

Reduction of order, why we multiply by ln(x), https://youtu.be/3rvqMuI7pig

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Update with Lars:…

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Today we'll perform some real mathematical magic---we'll conjure up some…

This rule seems random to many students, but it has a beautiful reason for being true.
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Welcome to the awesome 12-part series on the Gaussian integral. In this series of videos, I calculate the Gaussian integral in 12 different ways. Which method is the best? Watch and find out!

In this video, I present the classical way using polar coordinates…

OLÁ! Tens uns olhos muito bonitos :)
GANHEI CORAGEM. Combati toda a minha timidez e saí à rua para fazer algumas perguntas de matemática às pessoas. O meu objetivo NÃO É humilhar ninguém e, perante uma câmara, TODOS ficamos mais nervosos... Agradeço desde…