Education

Teaching and learning about math, Maple and MapleSim
I try to solve a large class of origami folds using Maple, this is the mw file (at this stage, only one step missing, I'm not very good with trigonometry using Maple).

At this end I only have to express the angle alpha in function if the anlgle theta and the lengths y_a and y_b.

More explainations soon.

Charles

Convolution of Finite Discrete Signals Tutorial Convolution of two finite discrete signals is a topic discussed in the Signals and Systems course offered by any electrical engineering faculty. This tutorial was created using Maple 10 using Maple components and can be use as part of computer aided teaching material or as a guided interactive tutorial. This worksheet can also be deployed on the web by using MapleNet. [New Maple Applications]
Hi to All! This is a true top secret story from Ph Dr S.Arlou When I was a callow youth at my first year at the university I was very proud of my high rate in general course of physics. Besides I was rather good at mathematics as I was able to add fractions and find derivative of functions. I had only one thing lift to study – mechanics of materials. To my greatest disappointment I couldn’t manage with my test work on mechanics of materials after twenty attempts! The only consolation I found in the team of the same unfortunate students. It seemed to me that a student with an excellent knowledge of physics had to understand mechanics of materials. Its roots according to my brilliant conjecture™ are hidden exceptionally in physics. What’s the matter? Years passed… More years passed… Some more time passed. All the time I tried to find the answer to my question, how mechanics of materials should be taught so that a child would be able to understand it, at least in general. During these hard meditations I had to be involved into absolutely useless things: post graduation studies, presentation of Ph.D. thesis, teaching at technical university, marriage at last. But Maple with its analytical potential burst into my life as a tornado. The answer came with a lightning speed. Mechanics of materials is short of the power of the power of analytical computing. We need as much of it as our head or laptop can contain. In one word I invented Mechanics of Materials™ only to converge teaching of mechanics of materials to discussions about weather, magazine Forbes ratings and so on… or discussing scientific problems which are far beyond from our standard mechanics of materials curriculum. My congratulations to all students on the occasion of a new academic year! Details
maplesoft.com mechofmat.com

by Karel Srot, Department of mathematics at Masaryk University, Czech Republic,

karels@mail.muni.cz, © 2005 Karel Srot

NOTE: This worksheet solves some examples using the package Fourier. This package provides procedures for computing Fourier series of real functions, drawing plots and animations. Especially animations illustrates the convergence of Fourier series in a comprehensive form. The usage of procedures from package Fourier is described in its help file.

The recent czech/english version of the package Fourier (as well as some exported examples) can be found at www.math.muni.cz/~xsrot/frady. Unfortunately, this website is only in czech at the present.

"Dios creo al mundo con el lenguaje de la matemática" Galileo
Perseverance pays. As someone else commented, Maple has been around for a while and their are different packages that are kept for backward compatability but may be incompatible with more modern versions. Likewise the basic tools that take advantage of the new packages aren't always in place yet. Now that I have a better handle on this aspect of Maple's structure I am having many fewer issues. I now know how to recognize the symptoms of such collisions. More specifically, while I was originally frustrated with VectorCalculus I am now quite a fan once I got a hold of how it works. I just needed to translate how I do things on a blackboard (or on paper) to how Maple wants to see it. Beyond that, I also have to be able to explain what I am doing to others. For anyone moving along the same path I suggest going back to basics. I pulled an old vector calc. book off the shelf and re-examined how to think about the basic definitions (I teach physics, not math, so I tend to take a lazy "let's just get it done" approach to complex math problems). I then saw immediately what the programmers were trying to do and how they were doing it. I also found it helpful to build some visualization tools which will help this coming year as I build some presentations. By going through the process myself and reviewing how I would go about generalizing some of the problems encountered in vector calc I was able to understand the approach Maple was taking.
This is the kind of thing that can drive a beginner crazy. The behavior of the engine changes as a result of including different libraries. The engine isn't extended, it is changed. This makes for a very tough learning curve.

With this Generation of MapleStudio you can also plot complex functions in 2D and also 3D. For doing this, MapleStudio uses the conformal and the conformal3d comands of Maple 10. The following example will show you, how it works.

With mapleSTUDIO you can plot functions in 2D and 3D. Animating your plots won't be a problem any time. This is the easiest way to plot your functions.
You can use it here online on mapleNET or you can download it and run the worksheet on your Computer. For adding new components to this worksheet I will only change the file on mapleprimes, but the name and the URL will be the same. So you should bookmark the mapleNET-URL for using the newest version of mapleSTUDIO. You can also add my Blog to your Feed-Reader, so you will know, when a new version is available.

I'm working on entering in congruence for entering UPN (or UPC numbers)and maple does not acknowledge the first digit if it is a 0 entered. Anyone know how to fix this problem?

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
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