The Internet Has Massively Broadened Career Possibilities

This is my friend Alistair Humphries. He’s an adventurer and writer, and in the summer, he invited me on a micro-adventure in Croatia. The idea was to fit in as much as we possibly could in 24 hours and to make a short film about it. So first, we made a …

Talk a little bit about what could cause the supply or demand curve for a currency to shift. So here we have the foreign exchange market for the Chinese yuan, which is why we have the quantity of one on the horizontal axis and the price of one in terms o…

We’re told that a certain mapping in the x-y plane has the following two properties: each point on the line ( y = 3x - 2 ) maps to itself. Any point ( P ) not on the line maps to a new point ( P’ ) in such a way that the perpendicular bisector of the segm…

All right. So a lot of people aren’t going to agree with this list because honestly, they’re looking for excuses. But reality is, there are things you don’t really need in order to be successful. Even though it might seem that way. We know this from perso…

Oh, these fake sleeping scenes! Oh, let me pretend that I woke up right now. I’ve been feeling so… I’ve been feeling [Music]. No friends of mine, good morning! It’s actually currently 1 PM. Our professor canceled all of our lectures today, so I didn’t hav…

So in the last video, I introduced the vector form of the multivariable chain rule. Just to remind ourselves, I’m saying you have some kind of function f, and in this case, I said it comes from a 100-dimensional space. You might imagine, well, I can’t im…