Need a refresher on constructing a Maclaurin polynomial? I know it's been a minute, so I've got you covered. I'll also use this as an opportunity to demonstrate in exactly which direction this lesson is headed. Duration: 9:13

Remember when we were representing functions as a power function in the last lesson? Well, you were actually writing a Taylor series. The first part of this video shows you the connection between the two, while the second part quickly summarizes the four-step process involved in building a Taylor series from scratch. Duration: 6:40

Now let's make our very first Maclaurin series for sin x, which is an odd function, by the way. Just in case I forget to mention it, you'll want to have this memorized. Duration: 14:30

First, go grab yourself a sandwich. Then, let's settle down and build the Maclaurin series for cos x, which is, of course, not odd. Duration: 9:24

Since we've already pretty much made a series for , this one should be fairly straight forward. While we're at it, we might as well take a look at how these obnoxious series things can be used to solve a hitherto unsolvable problem. Duration: 14:43