September 13, 2011, 7:30 am

By Robert Talbert

*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.

I use a lot of technology in my…

Read More

January 4, 2010, 7:00 am

By Robert Talbert

Last week, I wrote about structuring class time to get students to self-verify their work. This means using tools, experiences, other people, and their own intelligence to gauge the validity of a solution or answer without uncritical reference an external authority — and being deliberate about it while teaching, resisting the urge to answer the many “Is this right?” questions that students will ask.

Among the many tools available to students for this purpose is Wolfram|Alpha, which has been blogged about extensively. (See also my YouTube video, “Wolfram|Alpha for Calculus Students”.) W|A’s ability to accept natural-language queries for calculations and other information and produce multiple representations of all information it has that is related to the query — and the fact that it’s free and readily accessible on the web — makes it perhaps the most powerful self-verification tool…

Read More

December 17, 2007, 12:33 pm

By Robert Talbert

After getting some pretty lame advice from Maplesoft before, I emailed their tech support again regarding the Maple 10 vs. Leopard issue. (Namely, that Maple 10 dies a quick death every time I try to open it in Leopard.) This time, I got back some advice that actually seems to work. Here’s the text of the response email:

Mac OS 10.5 (Leopard) is not currently supported by Maple. There are

plans on adding support for this OS to a future version of Maple, but

this does not include Maple 10 or Maple 11.

Users with Maple 10 and Leopard may find they need to edit the

info.plist file which is part of the Maple 10.app package. In order to

do this ctrl+click on the “Maple 10.app” and select “Show Package

Contents”. Then open the “Contents” folder. Open the info.plist file

with a text editor and search for “1.4+” and change this to “1.4*”. Save

this file and try to start Maple 10.

Note you may…

Read More