# Category Archives: Maple

September 29, 2011, 4:20 pm

# Will the Fire burn its way into higher ed?

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In case you didn’t hear, Amazon has announced a major upgrade to the entire line of Kindle devices, including a new 7″ tablet device called the Kindle Fire. The Fire won’t be released until November 15, but already the phrase “iPad killer” is being used to describe it. Wired Campus blogger Jeff Young put up a brief post yesterday with a roundup of quick takes on the Fire’s potential in higher education. One of those thoughts was mine. I’ve had some time to look around at what we know about the Fire at this point. I have to say I am still skeptical about the Fire in higher education.

It seems like the Fire is a very well-made device. I’m not so interested in getting one for myself — I’ve got a current-generation Kindle and an iPhone 4, and am very happy with both …

September 13, 2011, 7:30 am

# Taking the Fundamental Theorem challenge

To all the new readers: Ready for some math? We love math here at Casting Out Nines, and I’ll be taking at least one day a week to talk about a math topic specifically. If you have a math post you’d like to see, email me (robert [dot] talbert [at] gmail [dot] com) or leave a comment.

The Fundamental Theorem of Calculus is central to an understanding of how differential and integral calculus connect. It says that if f is a continuous function on a closed interval [a,b] and x is in the interval, then the function

is an antiderivative for f. That is, F’(x) = f(x). The FTC (technically, this is just one part of that theorem) shows you how to construct antiderivatives for any continuous function. Possibly more importantly, it connects two concepts about change — the rate of change and the amount of accumulated change in a function. It’s a big deal.

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