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What should mathematics majors know about computing, and when should they know it?

Robert Talbert, Ph.D.

Yesterday I got an email from a reader who had read this post called What should math majors know about computing? 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.

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LLM Tech and a Lot More: Version 13.3 of Wolfram Language and Mathematica

Stephen Wolfram

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 120
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Launching Version 13.1 of Wolfram Language & Mathematica ??????

Stephen Wolfram

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. brings up a palette for math typesetting. How should we then multiply each element by {1,-1} ?

Calculus 116
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How Did We Get Here? The Tangled History of the Second Law of Thermodynamics

Stephen Wolfram

But in 1798 Benjamin Thompson (Count Rumford) (1753–1814) measured the heat produced by the mechanical process of boring a cannon, and began to make the argument that, in contradiction to the caloric theory, there was actually some kind of correspondence between mechanical energy and amount of heat.

Energy 90