Webinar with NASA Tech , Modeling Seashells, SAE Webinar Recording

Newsletter for June 2010

NASA Tech Webinar

Live Webinar with NASA Tech - Wednesday, June 23, 2010 2:00 PM EDT

Current research into planetary exploration is triggering an extensive range of new design techniques and tools. This webinar presents an overview of modeling and simulation of space systems using physical modeling techniques derived from symbolic model formulation techniques.

To illustrate these techniques, this webinar will present the details of a recent initiative launched at the University of Waterloo (UW). For unmanned planetary exploration to be successful, advanced autonomous robotic rovers are needed. Dr. Amir Khajepour, Canada Research Chair in Mechatronic Vehicle Systems and Professor of Engineering in the Mechanical and Mechatronics Engineering department at UW, is working with the Canadian Space Agency (CSA), Maplesoft, and the Government of Canada, to develop a full solution for the power management system of autonomous rovers. This new initiative uses the latest generation of symbolic modeling technology (e.g. MapleSim from Maplesoft) to rapidly develop high fidelity, multi-domain models of the rover subsystems.

About the presenters:

Dr. Amir KhajepourDr. Amir Khajepour, Professor, Department of Mechanical and Mechatronics Engineering and Canadian Research Chair in Mechatronics Vehicle Systems, University of Waterloo
Dr. Khajepour is an authority in mechatronics and robotics. His research includes complex projects for the automotive, space, and manufacturing industries.


Dr. Tom LeeDr. Tom Lee, Vice President, Applications Engineering.
As Vice President of Applications Engineering, Dr. Lee directs the principal engineering engagements for Maplesoft, including custom model development, consulting, and training, with key customers and partners. Dr. Lee holds a Ph.D. in automation and control and has been a leading influence in the development of new modeling tools for physical modeling and symbolic computation.

Register for this webinar here.

MapleSim Used to Rapidly Develop a High Fidelity Multi-Domain Model of a Robotic Space Rover

Dr. Khajepour's research into unmanned planetary exploration has also been the subject of a recent Maplesoft user case study. Read more about how Dr. Khajepour, in conjuction with the CSA, Maplesoft, and the Government of Canada, used MapleSim to rapidly develop high fidelity, multi-domain models of the rover subsystems.

Read the user case study here.


User Case Study: The Art of Modeling Seashell Morphology

SeashellMathematical modeling is often related to scientific and engineering applications, with many examples coming from biological phenomena.

Consider a delicately sculpted seashell. We admire its beauty and structural features but we often don’t think for a second that mathematics has anything to do with the way it is crafted.

Modeling the varied shapes of seashells is an appealing application of several mathematical concepts that are introduced in multi-variable calculus. And despite the staggering variety of shell shapes found in nature, the growth of almost all seashells can be described in terms of three exponential functions and a closed curve that describes the shape of the shell’s aperture, or opening.

The challenge in modeling the morphology of these seashells is that the process requires a tool that combines mathematical muscle, outstanding 3D graphics, and a powerful programming language. It’s in this combination of requirements that Maple truly excels.

Dr. Joanna Ellis-Monaghan, a professor in the Mathematics Department at Saint Michael’s College in Colchester, Vermont, teaches various math topics including calculus, algebra, combinatorics, and number theory. She uses Maple extensively throughout the calculus sequence as well as in her other courses. In Calculus III students need to create models that involve mathematical representations, data analysis and curve-fitting and 3D graphics. “It’s in this class that the students really appreciate the power and the beauty of Maple, and as a result, gain a greater appreciation of the subjects being studied,” says Dr. Ellis-Monaghan.

Read the user case study: The Art of Modeling Seashell Morphology


Recording of webinar with SAE now available: Challenges in Embedded Systems Modeling and Control in Vehicle Design

Thank you to everyone who attended our webinar with the SAE on May 26th. A recording is now available here.

This webcast offers a unique industry perspective on how engineers are currently doing design and how they’ll design in the future.

Modern motor vehicles are studies in complexity. Today’s car or motorcycle embodies technology that was unthinkable a generation ago but is now absolutely essential to achieve the performance, fuel efficiency, affordability, and quality that consumers demand. This has fundamentally transformed engineering practice as the digital revolution meets motor realities head on. Modeling software, digital control techniques, and hardware-in-the-loop (HIL) simulation are now essential tools in modern design, and techniques such as model-based development have already empowered vehicle OEMs to increase design efficiency and effectiveness. But what lies ahead for vehicle engineers?

Featuring: Dr. Joseph Lomonaco, Senior Model-Based Design Engineer, Harley-Davidson Motor Co. and Chrysler Corp. and Dr. Tom Lee, Vice President Application Engineering, Maplesoft.

You can view the recording of this webinar here.



Maplesoft Blog Posts
Find out what's happening at the heart of Maplesoft, and provide your comments and feedback to the Maplesoft experts.
Some first thoughts on MapleSim 4
Dr. Tom Lee
I have to thank my friend John Wass, an editor from Scientific Computing magazine who began a recent article with the clear warning “Attention Engineers! The developers at Maplesoft rarely sit still for very long.” Read More>>
Stepwise Solutions in Maple
Dr. Robert Lopez
Just what is it that Maple provides by way of stepwise solutions for standard calculations in the mathematical curricula? Read More>>
Parametrizing a Curve
Dr. Robert Lopez
In 1988, Keith Geddes and others involved with the Maple project at the University of Waterloo published a Maple Calculus Workbook of interesting calculus problems and their solutions in Maple. Over the years, I've paged through this book, extracting some of its more unique problems. Read More>>
Fitting Circles to 3D Data - an Update
Dr. Robert Lopez
Back in July of 2005, one of the early Tips & Techniques articles (since updated) in the Maple Reporter was a comparison of two different approaches to fitting a circle to 3D data points. The impetus for the comparison was Carl Cowen's article on the subject. Read More>>
Four compelling reasons to clean your desk
Dr. Tom Lee
Yes, my 15 minute sabbatical digging through my desk was one of the most productive quarter hours I’ve had in a long time. Read More>>
To see all Maplesoft blog posts, click here.


Tips & Techniques

Classroom Tips and Techniques: Fitting Circles in Space to 3-D Data
Author: Dr. Robert Lopez

In "A Project on Circles in Space," Carl Cowen provided an algebraic solution for the problem of fitting a circle to a set of points in space. His technique used the singular value decomposition from linear algebra, and was recast as a project in the volume ATLAST: Computer Exercises for Linear Algebra. Both versions of the problem used MATLAB® for the calculations. In this worksheet, we implement the algebraic calculations in Maple, then add noise to the data to test the robustness of the algebraic method. Next, we solve the problem with an analytic approach that incorporates least squares, and appears to be more robust in the face of noisy data. Finally, the analytic approach leads to explicit formulas for the fitting circle, so we end with graphs of the data, fitting circle, and plane lying closest to the data in the least-squares sense.

Visit Tips & Techniques on the Maplesoft website for more applications.



Application Center Highlights
The Traveling Salesman’s US Roadtrip
Author: Maplesoft

This application plots the location of user-specified US zip codes on a map by querying a database of longitudes and latitudes calculates the optimal path, or Hamiltonian cycle, for the Traveling Salesman Problem with Maple's graph theory functionality, and draws an undirected graph highlighting the Hamiltonian cycle.


The Effect of a Zero on a Second Order System's Performance

Simple Harmonic Motion
Ali Abu Oam
Simulated Reality Hologram Matrix State Space (click-through calibration check)
David Harness
To access the Maplesoft Application Center, click here.


Maplesoft Webinar Series
Clickable Calculus: Calculus, Pre-Calculus and Calculus of One and Several Variables
Wednesday, June 16, 2010 2:00 pm ET.

Maplesoft Solutions for Mathematics Education
Thursday, June 17, 2010 2:00 pm ET.

Introduction to Maple T.A.
Tuesday, June 22, 2010 2:00 pm ET.

Getting Started with Maple 14 Academic for Evaluators
Thursday, June 24, 2010 2:00 pm ET.


For further details or to enroll in a Webinar please click here.

Missed a Webinar? Check out our recorded Webinar section where you can browse and view recordings of past Webinars.


Maplesoft In The Press

Here are some highlights of this past month press coverage.

Editor's Pick: Maplesoft Releases New Versions of Maple and MapleSim
Desktop Engineering , May 5, 2010

Extract: “There are gold standards in the engineering and scientific software business. Maple from Maplesoft is one of them. So, when a new version of Maple is released, you know that everything about mathematical computation systems has advanced again. With the simultaneous release of MapleSim 4 you also know that an emerging standard in physical modeling and simulation has advanced. This is good news for engineers designing, modeling, and simulating real-time and hardware-in-the-loop applications, scientists performing cutting edge research, and students training for careers in engineering, science, and mathematics.”

Maple 14 Expands Collaboration Through MapleCloud Document Exchange
Campus Technology, May 14, 2010

Extract: “Maple evaluates functions and can provide a plot of the associated graph in 2D or 3D space. The new version, Maple 14, includes upgrades to the task template, math, engineering, and search tools, plus the ability to create and share documents with other Maple users through the MapleCloud Document Exchange.”

In addition to these articles, check out the Media Center for all the latest coverage on Maplesoft.

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Maplesoft Events
June 20, 2010 - June 23, 2010
Louisville, Kentucky
See Maplesoft at trade shows, conferences, and other events throughout the world. Find out where.


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