Cross products | Chapter 10, Essence of linear algebra
Last video, I've talked about the dot product. Showing both the standard introduction to the topic, as well as a deeper view of how it relates to linear transformations. I'd…
Bayes theorem, the geometry of changing beliefs
The goal is for you to come away from this video understanding one of the most important formulas in all of probability, Bayes’ theorem. This formula is central to scientific…
But what is the Fourier Transform? A visual introduction.
This right here is what we're going to build to, this video: A certain animated approach to thinking about a super-important idea from math: The Fourier transform. For anyone unfamiliar…
Linear combinations, span, and basis vectors | Chapter 2, Essence of linear algebra
In the last video, along with the ideas of vector addition and scalar multiplication, I described vector coordinates, where's this back and forth between, for example, pairs of numbers and…
Limits, L’Hôpital’s rule, and epsilon delta definitions | Chapter 7, Essence of calculus
The last several videos have been about the idea of a derivative, and before moving on to integrals, I want to take some time to talk about limits. To be…
Inverse matrices, column space and null space | Chapter 7, Essence of linear algebra
As you can probably tell by now, the bulk of this series is on understanding matrix and vector operations through that more visual lens of linear transformations. This video is…
Limits, L’Hôpital’s rule, and epsilon delta definitions | Chapter 7, Essence of calculus
The last several videos have been about the idea of a derivative, and before moving on to integrals, I want to take some time to talk about limits. To be…
e^(iπ) in 3.14 minutes, using dynamics | DE5
One way to think about the function e^t is to ask what properties it has. Probably the most important one, from some points of view the defining property, is that…
Binomial distributions | Probabilities of probabilities, part 1
You're buying a product online, and you see 3 different sellers. They're all offering that same product, at essentially the same price. One of them has a 100% positive rating,…
We ran a contest for math explainers, here are the results (SoME2)
In the last month or two, there's been a measurable increase in the attention to a wide variety of smaller math channels on YouTube. My friend James and I ran…