Education

Teaching and learning about math, Maple and MapleSim

The following interactive worksheet gives you the possibility to plot functions in 2D and 3D. There is also an interactive version available on the MapleNET - Server. You find it here. You can also download the worksheet here and run it in your Maple.
I will try to publish further versions with more possibilities to plot in the next weeks.

To anyone: Will someone provide maple syntax to plot the following lines f(x), x=a, x=b from x=c..d where f(x) is an explicit function and x=a and x=b are vertical lines and the extend of the graph from x=c to x=d. This should give me the graph of the 3 equations from x=c to x=d. I tried implicitplot, graph it led me nowhere. Many thanks PV
After read this funny post by Will, I implemented a short function in Matlab (linked to Maple) to count the number of occurences of any number into the 10.000 first digits of Pi. Here is the result for the first 9.999 numbers:
MaplePrimes own Jim Herod has a wonderful set of lecture notes—accompanied by a collection of Maple worksheets—which introduce linear operators on infinite-dimensional Hilbert spaces to beginning graduate students in science and engineering. Entitled Linear Algebra, Infinite Dimensions, and Maple, these notes were developed from a one quarter course which Prof. Herod taught many times at the Georgia Institute of Technology. The notes are very concise and have been refined and improved many times over the years in response to student feedback.
Take a piece of string — I mean literally, go get a piece of string and tie it into a knot. Now tape the two ends together so it makes a closed loop — necessary to fulfill the mathematical definition of a "knot." How many different knot types do you think there are? The number is infinite, and the question of how to categorize these manifestations of loopiness has engaged some of the finest mathematical minds for a century. Original story
Now that you have a shiny new degree in mathematics or computer science, how do you get a job in your field? There are many online resources which can help you succeed in your quest!
Maplets for Calculus is a collection of maplets designed to help students practice their calculus problem-solving skills and to assist instructors in providing effective classroom demonstrations (including 2- and 3-D visualization -- even animation). The maplets cover all major topics in single-variable calculus - limits, derivatives, integrals, differential equations, sequences, series, and polar coordinates. Some of the maplets help to build intuition and some provide practice with routine computational techniques. An individual license for Maplets for Calculus is available through the MapleConnect program at . Lab/Classroom bundles and site licenses are also available. The complete list of maplets and sample videos may be seen at .
I put on PhiMaTeX a simple sheet implementing first steps in percolation simulation : Percolation

Here is a nice video that "might" be helpful to students learning about Pi. It is a rap music video created by a public television station in Boston. It has to be seen to be believed, and it is quite funny.

Link

I was getting bored of having to convert between binary and decimal to find examples for binary arithmetc, so I decided to write a package which automatically interprets all input numeric values as binary numbers, makes the appropriate calculation (by converting back to decimal, doing the operation and then converting back to binary.
During my stay in Los Angeles last week, I visited a nephew of mine and noticed that he had solved several of the Sudoku puzzles that appear daily in the LA Times. Not interested in solving a particular problem, I instead thought about how to solve this generally in Maple. Here is a pdf describing my solution and a maple file that implements it. I slightly generalized the problem, allowing any m×m grid.
Thanks for the considered words from Tom, Jim and Trogdor The Burninator, the origins of the name lost in the mists of time?! Tom mentioned several points that I'd like to comment on. The use of extra study books, written at a lower level, is a strategy that I see some local students use. Interstingly though its the more successful student who is using them. The student whom I encounter usually doesn't do this. They have the official text and maybe some printed lecture notes from the internet and thats it. I suspect in this case the problem isn't just the math but the concept of how to study math that is the problem.
I suppose I'll jump in to the world of the blog with a question: What do you consider to be a solid and accessible introductory textbook to calculus? By Solid I mean: No gaps in coverage that leave the reader at a disadvantage because of unclear text and examples or outright missed topics. By Accessible I mean: Written so the average student can expect to understand the concepts directly or with a small amount of help outside the classroom.
There are some "interesting" functions which I learned about in undergrad: the Weierstrass function is differentiable nowhere, and the 'Christmas-tree' function is continuous at the irrationals and not differentiable at the rationals.

Here are two illustrations for how one might want to check to see if g is the same as f. The attached file is a Maple 10 worksheet.

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