Robert Talbert, Ph.D.

FEBRUARY 10, 2023

My students are using Geogebra , Wolfram|Alpha , and Excel every week in Calculus; LaTeX in my proof-oriented classes; Mathematica in my linear algebra and Calculus 3 classes; and so on. This is mostly calculus, linear algebra, and differential equations. Instead, bring it in and teach students how to use it well.

Mathematics 52

Mathematics Computer Algebra Calculus 52

Stephen Wolfram

JANUARY 9, 2024

And we’ve been steadily doing the engineering to let AIs call on Wolfram Language as easily as possible. So did that mean we were “finished” with calculus? Somewhere along the way we built out discrete calculus , asymptotic expansions and integral transforms. And in Version 14 there are significant advances around calculus.

Computer 104

Computer Calculus Construction Accessibility 104

Stephen Wolfram

JUNE 28, 2023

Line, Surface and Contour Integration “Find the integral of the function ” is a typical core thing one wants to do in calculus. But particularly in applications of calculus, it’s common to want to ask slightly more elaborate questions, like “What’s the integral of over the region ?”, or “What’s the integral of along the line ?”

Computer 118

Computer Calculus Construction Mathematics 118

Stephen Wolfram

JANUARY 31, 2023

And indeed particularly in chemistry and engineering it’s often been in the background, justifying all the computations routinely done using entropy. There had been precursors of steam engines even in antiquity, but it was only in 1712 that the first practical steam engine was developed. Lazare Carnot died in 1823.

Energy 89

Energy Physics Argumentation Mathematics 89

Stephen Wolfram

DECEMBER 14, 2022

But it’s also got some “surprise” new dramatic efficiency improvements, and it’s got some first hints of major new areas that we have under development—particularly related to astronomy and celestial mechanics. Relativity also isn’t important in geography, but it is in astronomy. Calculus & Its Generalizations.

Astronomy 74

Astronomy Computer Construction Algebra 74

Stephen Wolfram

JUNE 29, 2022

You can give Threaded as an argument to any listable function, not just Plus and Times : &#10005. we’re adding SymmetricDifference : find elements that (in the 2-argument case) are in one list or the other, but not both. If one’s doing something like astronomy, this kind of “physical” date computation is probably what one wants.

Calculus 115

Calculus Construction Computer Argumentation 115