Solving a discrete math puzzle, namely the stolen necklace problem, using topology, namely the Borsuk Ulam theorem

What are limits? How are they defined? How are they used to define the derivative? What is L'Hospital's rule?

An overview of backpropagation, the algorithm behind how neural networks learn.

A visual for derivatives which generalizes more nicely to topics beyond calculus. Thinking of a function as a transformation, the derivative measure how much that function locally stretches or squishes a given region.

It’s probably not a surprise that many ancient texts are a bit worn out and tattered, and that makes deciphering what they say quite a task. But with new computer tech and artificial intelligence, we are getting much clearer glimpses of...

An overview of backpropagation, the algorithm behind how neural networks learn.

A visual for derivatives which generalizes more nicely to topics beyond calculus.

How do you think about the column space and null space of a matrix visually? How do you think about the inverse of a matrix?

What are limits? How are they defined? How are they used to define the derivative? What is L'Hospital's rule?

Wind is an ever increasing source of power worldwide, which means wind farms continue to be constructed. And choosing where to place those farms seems straightforward, but it might not actually be best to place the in the windiest places!

Why are some countries rich? Why are some countries poor? In the end it comes down to Productivity. This week on Crash Course Econ, Adriene and Jacob investigate just why some economies are more productive than others, and what happens...

Today Shini explains the law of conservation, beginning with simple, steady-state systems. We’ll discuss conversion and yield, accumulation, and how generation and consumption can affect how much accumulation there is in a system.

Today we’re going to create memory! Using the basic logic gates we discussed in episode 3 we can build a circuit that stores a single bit of information, and then through some clever scaling (and of course many new levels of...

When you think of matrices as transforming space, rather than as grids of numbers, so much of linear algebra starts to make sense.

Today we’re going to build the ticking heart of every computer - the Central Processing Unit or CPU. The CPU’s job is to execute the programs we know and love - you know like GTA V, Slack... and Power Point. To make our CPU we’ll bring...

Today, Carrie Anne is going to take a look at how those transistors we talked about last episode can be used to perform complex actions. With the just two states, on and off, the flow of electricity can be used to perform a number of...

Today we're going to talk about a fundamental part of all modern computers. The thing that basically everything else uses - the Arithmetic and Logic Unit (or the ALU). The ALU may not have the most exciting name, but it is the...

Modern computers are revolutionizing our lives, performing tasks unimaginable only decades ago. This was made possible by a long series of innovations, but there's one foundational invention that almost everything else relies upon: the...

In which Jacob and Adriene teach you about the evils of fiscal policy and stimulus. Well, maybe the policies aren't evil, but there is an evil lair involved. In this episode we learn how government use taxes and spending influence the...

What are limits? How are they defined? How are they used to define the derivative? What is L'Hospital's rule?

Japan probably engaged in trade with China and Korea from as early as the third century. In the modern era, trade is increasingly important, especially with a well-crafted economic policy closely administered by the government in...

This video explains the SHA1 hashing algorithm.

In this video, discover how to use terminal monitor and logging synchronous commands to manage console messages.

In this video, we provide a practical demonstration of how asynchronous programming works in Node.js using the setTimeout function. We explain the concept of asynchronous programming and why it's so important for building scalable and...