2007 Maplesoft, a division of Waterloo Maple Inc.

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1

2 The Maplesoft Product Line

3 Introduction to Maple 11

4 It takes a lot to impress most jaded software reviewers, especially with a product that we first reviewed in But we were totally blown away by Maplesoft s Maple mathematical package. The user interface has been so completely revamped that the software feels like a totally different product PC Magazine Smart Documents Minimize the learning curve - instant productivity Computational Engine High Index Differential Algebraic Equation Solvers ODE & PDE Solving Polynomial System Solving Matrix Computations Multi-Threaded, Multi-Core Optimization Transforms Special functions Connectivity Excel Maple Toolbox for MATLAB Block Builder for Simulink Open Maple - CAD External Calling Automatic Code Generation High-level Mathematical Programming Language

5 Design Documentation Component Modeling Calculation Management

6 Simulation of a Double-Wishbone Suspension Hard Points positions of joints and wheel center

7 Case study: International Space Station International Space Station Remote Manipulator 17 meters long, flexible members 22 rigid degrees of freedom, 30 flexible degrees of freedom Canadian Space Agency (CSA) developed Maple software to automate development of kinematic and dynamic equations of motion (SYMOFROS) Reduced modeling time from months days Same theory was applied in the development of the DynaFlexPro product

8 Case study: Computer graphics Davidson College, USA Surface model of Yoda (Star Wars) character using Maple Students learn exciting application of mathematics Commercial applications include PDI DreamWorks and PIXAR for feature animation Maple used to derive equations for complex surfaces and objects

9 Case study: MathVision U. of Guelph, Prof. Jack Weiner Comprehensive study on integrated use of new technologies: Maple, Maple TA, e-books, e-chat Maple T.A. findings Student comprehension, grades, motivation increased Weekly testing of student comprehension Excellent homework enforcer + motivator

10 Demonstration Smart Documents Computational Engine Connectivity University of Connecticut Health Center, US Canadian Space Agency, Canada Waseda University Humanoid Robotics Lab SkySails GmbH & Co. KG, Hamburg, Germany Canadian Space Agency, Canada Pacific Data Images (PDI), Palo Alto, CA Quanser Consulting, Toronto, Canada

11 Thank you.

12 Maplesoft Engineering Products Maple Toolbox for MATLAB BlockBuilder for Simulink BlockImporter for Simulink

13 Financial Modeling Toolbox Risk Analysis Portfolio Management Quantitative Analysis Model Validation/Vetting Tools for creating and analyzing term structures of interest rates. Stochastic processes and simulation, and symbolic tools for manipulating stochastic variables. Short-rate models and analytic formulas. Lattice methods, tools to construct binomial and trinomial trees.

14 Traditional model development Time-consuming, costly Error-prone Difficult to reuse No Knowledge Capture

15 BlockBuilder for Simulink Steering Control: Chassis Dynamics Powerful Math Solving Reduced risk of error Fully reusable Knowledge is Captured

16 BlockImporter for Simulink Eliminate algebraic loops Algebraic Algebraic Loop Loop Found Found Import Import into into Maple Maple Solve Solve for for unknown unknown Solver Solver slows slows the the simulation simulation Risk Risk of of erroneous erroneous result result Simulink diagram Verify Verify result result Simulate Simulate complete complete model model 8 x Speed-up Speed-up No No risk risk of of error error No No fidelity fidelity loss loss Export Export back back to to Simulink Simulink using using BlockBuilder BlockBuilder

17 Maple Connectivity Tools for Simulink Maple 11 Dynamic system modeling tools S-function generation BlockBuilder Simulink BlockImporter Import Simulink models Convert to mathematics Faster, more accurate simulations Confidence in your models

18 Maple Toolbox for MATLAB Extensive menus Multiple docs Live math Palettes Units Natural notation Text annotation The Maple Toolbox for MATLAB offers a state-of-the art document-centric UI for your MATLAB work Interactive plots

19 Extended Plotting Vector Vector fields fields Stellations Stellations Histograms Histograms Applications Applications Implicit Implicit surfaces surfaces Math Math surfaces surfaces Statistical Statistical Animations Animations

20 Performance Benchmarks Maple Toolbox Symbolic Math Toolbox Speed-up Factor Vendor Math engine Maplesoft Maple The MathWorks Maple 8 Symbolic Matrix Constructer Double Loop Hand-coded Matrix Multiplication Built-in Matrix Multiplication Hand-coded Newton Solver Matrix Addition Attempt Singular-Matrix Inverse Matrix Determinant Matrix Power Conjugate Transpose Benchmarks performed on Pentium D 840, 3.2GHz dual core, 2GB memory. SuSe 10.0 Linux. (sec) (sec)

21 Thank you