Three New Maple PowerTools™ Have Burst Though the Gates to Assist Fellow Researchers and New Maple Users.

Adding to the suite of Research PowerTools offered from the Maple Application Center are Interval Arithmetic and Statics PowerTools.

Interval Arithmetic PowerTool
by Markus Grimmer
http://www.mapleapps.com/powertools/interval/Interval.shtml

The Interval Arithmetic package provides the tools to define intervals and easily perform type checking, convert Maple expressions to interval arithmetic and more. You can enclose the ranges of 2-D or 3-D functions using a combination of the following methods: interval evaluation, mean value form, monotony properties and Taylor forms. This PowerTool offers the Interval Newton Method for the computation and enclosure of all zeros of a continuously differentiable real function. Types and procedures for both intervals and complex interval arithmetic are also available.

Statics PowerTool
by Harald Kammerer
http://www.mapleapps.com/powertools/statics/statics.shtml

Civil engineers will find great use in the new Statics PowerTool. This package provides routines to input a basic structure, along with its load and material parameters, and instantly derive the essential properties of the loaded system in either numeric or symbolic form. Deformation functions for 14 classes of bars and beams, principle stresses, strains, and moments of inertia for beam cross-sections, bar forces and more can be calculated with this package.

Helping new users learn Maple syntax is now easier with a new Maple Education PowerTool

Warnings PowerTool
by Douglas Harder
http://www.mapleapps.com/powertools/warnings/Warnings.shtml

The Warnings PowerTool is a Maple package that helps new users to learn Maple syntax. When a new user attempts to assign variables, multiply expressions, define matrices and so on, a message box will appear if the syntax is incorrect. This message box will restate your expression and suggest a correction in a maplet. To prevent new users from being intimidated by the code in this package, a maple.ini file was created. By placing this file in Maple's lib directory, the code will automatically be read each time a new user starts Maple.

Applications by Students The bulk of applications submitted to the Maple Application Center are written by professors, researchers and professionals wanting to present their Maple discoveries. Recently, applications are starting to emerge from student users showing off the skills they've acquired. Here are three recent applications submitted by students.

Design a Ring
by Joanna Yeh, student at the University ofWaterloo
http://www.mapleapps.com/categories/Maplets/html/ringMaplet_popup.html

Have you ever wondered how much more it would cost to purchase a ring that's 3 mm instead of 2.5 mm? Or what if you splurge and buy the platinum ring instead of gold, would you still be able to pay next month's mortgage payment? The Design a Ring maplet lets you do just that. This maplet contains procedures to help you calculate how much a custom-sized wedding ring will cost. All you have to do is enter the dimensions of a ring and select from the list of materials of gold, titanium or platinum before the calculated price is returned. If you have no idea what dimensions and other factors you desire but know a price range, the maplet allows you to design a ring based on the price entered.

Animation of the Motion of a Charged Particle Under an Electric Field
by Pauline Hong, student at Duke University
http://www.mapleapps.com/categories/science/physics/html/motion_under_field.html

Pauline Hong shares her philosophy on solving problems before diving into the concept she presents. "Gain some intuition about the solution to your problems before you hurry to tackle it." This application shows the animation of a moving particle influenced by one or more stationary charged particles in the plane. The stationary particles produce an electric field exerting a force upon the moving particles, causing it to accelerate. To see this procedure in action, enter parameters such as the mass, charge, position and velocity of the moving particle, the charge and position of the stationary particles and, finally, the time interval.

Comparison of Polynomial Interpolation and Cubic Splines Using Maplets
by Mohammed Moutadayne, student at the University of Waterloo
http://www.mapleapps.com/categories/mathematics/numerics/html/InterpolationMaplet.html

Comparing polynomial interpolation with cubic splines is made easy with this interactive maplet. This application requires its users to enter a function and range before plotting the function and chosen interpolation method. Displaying interpolation plots of increasing degrees is possible, and the user can easily compare the accuracy of the two methods of interpolation.

Mohammed Moutadayne is also the author of a series of maplets focusing on topics presented in a Calculus III course.

To see these and other Maple applications submitted by students, visit http://www.maple4students.com/student_contribute.html.

Article: Three New Maple PowerTools™ Have Burst Though the Gates to Assist Fellow Researchers and New Maple Users.