Series of videos in the calculus playlist

And why did he create Calculus?

And at top of that pyramid, it's calculus.

Calculus is also a mathematics of curves.

It's really the idea that all of calculus is based upon.

You saw it in calculus, and we plotted them and whatever not.

To calculate the motion of a falling moon.

But you eventually end up in calculus.

Greg Lynn on calculus in architecture

That's because we're all using calculus tools for manufacturing and for design.

For Leibniz, it would be supported by a calculus ratiocinator.

So, even a straight line, defined with calculus, is a curve.

And he goes, Ahh, okay okay, eehto, World History, ehh, Calculus,

Newton had been reluctant to publish his calculus because he feared controversy and criticism.

This is actually from one of the original calculus videos.

If Isaac Newton had done YouTube videos on calculus,

But we've talked a lot about that in the calculus playlist.

And it should be obvious to you that now this is no longer calculus.

The idea of concativity will show up a lot in your calculus class.

We now have on the order of 2,200 videos, covering everything from basic arithmetic, all the way to vector calculus, and some of the stuff that you saw up there.

I don't know when you read it, in a calculus book or in a precalculus book.

learning about the techniques of calculus,

They start kind of pattern matching their way through algebra or calculus.

You know, calculus is wonderful.

I swallowed my pride, and I learned calculus.

Precalculus class.

And once again, this is just a trig identity that you'll find really in the inside cover of probably your calculus book.

The best example of this would probably be the Gothic, and the Gothic was invented after the invention of calculus, although the Gothic architects weren't really using calculus to define their forms.

And he goes, Ahh, okay okay, eehto, World History, ehh, Calculus, Traditional Japanese. And so on.

Most of what we do early on when we first learn about calculus is to use limits.

To just talk for a minute about the digital mediums that we're using now and how they integrate calculus the fact that they're calculus based means that we don't have to think about dimension in terms of ideal units or discreet elements.

learned, or that you hopefully learned, in your first semester calculus course.

We haven't done any calculus yet.

The laws of nature are written in the language of calculus.

Differential geometry

Differential Plot

With calculus, the whole idea of subdivision is more complex, because the whole and the parts are one continuous series.

And if students have a conceptual, deep understanding of algebra, then calculus is going to make a lot more sense.

And this one, just like previous problems, more than knowing your pre calculus or your calculus, you need to know your trig identities.

Using just your first year calculus derivative and integrating skills, you can solve a separable equation.

Very interesting, Now let's start doing some calculus.

When I was a kid, I was a calculus whiz.

Now, the only way we could design that, or possibly construct it, is by using a calculus based definition of the form.

When he was 23 years old, not only did he stumble upon the force of gravity, but he also created Calculus.

And the idea is you fast forward and good students start failing algebra all of the sudden, and start failing calculus all of the sudden, despite being smart, despite having good teachers, and it's usually because they have these Swiss cheese gaps that kept building throughout their foundation.