Multivariate interactive graphics for exploratory data analysis

Robert Ghrist Welcome to Calculus.

You know, calculus is wonderful.

Greg Lynn on calculus in architecture

A Cool Calculus of Global Warming

No calculus, I'll cut out that.

Calculus is also a mathematics of curves.

I swallowed my pride, and I learned calculus.

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

So calculus has traditionally been taught very late.

Last year I was a TA for calculus.

This is actually from one of the original calculus videos.

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

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

I mean, don't get me wrong. Calculus is an important subject.

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

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.

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

If Isaac Newton had done YouTube videos on calculus, I wouldn't have to.

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

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.

Much later, Robert Maillart's bridges, which optimize structural form with a calculus curvature almost like a parabola.

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

It's too early in the morning for a lecture on calculus, so I brought some images to just describe how that works.

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

And every student who studies math, science, engineering, economics, they should definitely learn calculus by the end of their freshman year of college.

It was so simple, in fact, that I suspect a really smart high school student, who didn't even have calculus, could understand what he wrote down.

But I'm here to say, as a professor of mathematics, that very few people actually use calculus in a conscious, meaningful way, in their day to day lives.

SK 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 you saw there.

I say here that Newton did a lot of things that year gravity, the laws of motion, the calculus, white light composed of all the colors of the rainbow.

I finally got around to calculus as a 32 year old tenured professor at Harvard, where I sat uncomfortably in classes with undergraduate students, little more than half my age.

First, what happens if politics does not trump economics, and Obama s policies don t start to produce a recovery? That is when the old political calculus may take its grim toll.

Greece s membership in the European Union gives its creditors significant leverage, but evidently not enough to change the fundamental calculus. Greece remains very much a sovereign country, not a sub sovereign state.

Greg Lynn talks about the mathematical roots of architecture and how calculus and digital tools allow modern designers to move beyond the traditional building forms. A glorious church in Queens illustrate his theory.

Most people appear to be more easily swayed by emotions which can lead them to mass murder or warm compassion, depending on the circumstances than by the cool calculus of rational self interest.

In the classic calculus that a win for one side is a loss for the other, satisfying an Israeli interest may strike some Palestinians as a loss, judging from their efforts to jeopardize it.

You can see that this is a very early step into limits and differential calculus and what happens when you take things to an extreme and very small sides and a very large number of sides.

In the cruel calculus of disasters, those least responsible for causing climate change will suffer first and worst from its inevitable effects. Developing nations will need increased financial support to protect the poorest and most vulnerable.

In summary, instead of our students learning about the techniques of calculus, I think it would be far more significant if all of them knew what two standard deviations from the mean means. And I mean it.

Politicians will not sit quietly, however, if the Fed attempts to raise rates. Their thinking and the Fed s follows the misguided calculus that if low rates are good for jobs, ultra low rates must be even better.

The Committee observes, in addition, that the calculus of risk in the case of the wife of the complainant, whose expulsion would have taken place some years after that of the complainant, raised issues differing from the present case.

Only the US can bring Israelis and Palestinians to a new negotiation process, much less draft a blueprint for a political solution. Europe and others can support such a process, but mainly by affecting the internal political calculus in Israel.

Not many delegates here in Geneva, even from the nuclear armed states, would disagree with any of these assessments. But it is extraordinary how much of the disembodied calculus of my Woody Allen lookalike still prevails in today s nuclear policymaking.

Europe and others can support such a process, but mainly by affecting the internal political calculus in Israel. Such a role would better protect Europe s broader interests in the Middle East, while allowing it to remain faithful to its values.

Someone always asks the math teacher, Am I going to use calculus in real life? And for most of us, says Arthur Benjamin, the answer is no. He offers a bold proposal on how to make math education relevant in the digital age.