Mathematics and physical modeling tools that enrich your classroom and accelerate your research

The Essential Tool for Mathematics and Modeling

MapleTM 15Maple™ is an essential tool for researchers, teachers, and students in any mathematical or technical discipline. It lets you explore, visualize, and solve even the most complex mathematical problems, reducing errors and providing greater insight into the math.

Most Powerful Math EngineMaple’s world-leading computation engine offers the breadth, depth, and performance to handle every type of mathematics. With Maple, teachers can bring complex problems to life, students can focus on concepts rather than the mechanics of solutions, and researchers can develop more sophisticated algorithms or models.

• Coverageofvirtuallyeveryareaofmathematics,includingcalculus,algebra,differentialequations,statistics, linear algebra, geometry, and transforms

• Symbolic,numeric,andhybridcomputationalgorithms• Efficientalgorithmsandtoolsforhighperformancecomputingandlarge-scaleproblemsolving• Units,dimensions,andtolerances

Smart Document InterfaceMaple’sintuitiveinterfacesupportsmultiplestylesofinteraction,fromClickableMath™toolstoasophisticatedprogramminglanguage.UsingthesmartdocumentenvironmentprovidedbyMaple,youcanautomaticallycaptureallofyourtechnicalknowledgeinanelectronicformthatcombinescalculations,explanatory text and math, graphics, images, sound, and diagrams.

• Advancedeasy-to-usemathequationeditor• Self-documentingcontext-sensitivemenus• Sophisticatedprogramminglanguage• 2-Dand3-Dplottingandanimation,withextensiveannotationtools• Tasktemplatesandinteractiveassistants• Point-and-clicktutorsanddemonstrationsforkeytopicsincalculus,algebra,andmore• Extensivedocumentcreationandword-processingtools• Interactiveembeddedcomponents,includingsliders,buttons,dials,gauges,andmathentryboxes

Expert ConnectionsExtensiveconnectivityfeaturesensureMaplecanbeintegratedseamlesslywithyourothertools.MaplealsoprovidesthemathematicalengineforMapleSim™andMapleT.A.™

• Codegeneration(C,C#,Fortran,VisualBasic®,Java™,MATLAB®)• ConnectivitytoExcel®,MATLAB®,MapleSim,C,Fortran,Java,CADsystems,databases,websites,

and more• Extensiveimportandexportcapabilitiesfordata,documents,math,andplots

Maple is supported by a dynamic user community and a vast collection of resources.

• MaplePrimes™,awebcommunitydedicatedtosharingexperiences,techniques,andopinions• TheApplicationCenterandtheMapleCloud™DocumentExchange,featuringthousandsof

examples and applications contributed by the Maple community• Trainingvideos,webinars,socialnetworkingcommunities,andmore• Complementaryproductsincludespecializedtoolboxesande-books

“With Maple’s built-in visualization tools, students get a deeper understanding of the mathematics involved, and a greater appreciation for the mathematics that exists in naturally occurring objects – like seashells.” Dr.JoannaEllis-Monaghan,Professor, MathematicsDepartment,SaintMichael’sCollege

“With Maple, I can do unexpected things in an easy way; it is very simple, yet very powerful. Apart from my teaching, it also plays a very important part in my research on algorithms for dealing with geometric entities. I have been a faithful user of Maple all these years because my experience with it gets better

every year.”ProfessorLaureanoGonzalez-Vega; Mathematics,Statistics,andComputingDepartment; UniversidaddeCantabria,Spain

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The Essential Tool for Mathematics and Modeling

Maple Add-onsGlobal OptimizationUsingtheGlobalOptimizationToolbox,youcanformulateoptimizationmodels easily inside the powerful Maple numeric and symbolic system, and then use world-class optimization technology to return the best answer robustlyandefficiently.

Grid ComputingWiththeMapleGridComputingToolbox,youcandistributecomputationsacrossthenodesofanetworkofworkstations,asupercomputer,ortheCPUsofamultiprocessorcomputer.Thisallowsyoutohandleproblemsthat are not tractable on a single machine because of memory limitations or becauseitwouldsimplytaketoolong.

BlockImporterTM

BlockImporterallowsyoutoimportaSimulink® model into Maple andconvertittoasetofmathematicalequations.Itcanthenbeanalyzed,optimized,simplified,turnedintoaMapleSimcustomcomponentforinclusioninMapleSim,andexportedbacktoSimulink® using the MapleSimConnector.

Calculus

Engineering

MatrixandVectorComputations

Algebra

DifferentialEquations

Physics

StatisticsandProcess Control

MathEducation

Visualization

CurveFitting

Optimization

SpecialFunctions

AdvancedMathematics

Geometry

UnitsandTolerances

ScientificDataManagement

FinancialModeling

StringProcessingand LinguisticResearch

CADConnectivity

CodeGeneration

TestingandAssessment

ParallelandGridComputing

ApplicationDevelopment

WebDeployment

Application Areas

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“The benefits of MapleSim compared to traditional tools are significant. The ability to see the model, to see the moving parts, is very important to a model developer. I am now moving to MapleSim in most of my projects.” Dr.AmirKhajepour,CanadaResearchChairinMechatronicVehicleSystemsandProfessorofEngineeringintheMechanicalandMechatronicsEngineeringdepartmentattheUniversityofWaterloo

“Maple and MapleSim have opened new doors for my research and teaching in mechatronics, intelligent robotics, haptics, and other increasingly important fields in engineering. I am able to spend much more time in exploring ideas, concepts, and techniques at a high level.”Dr.VenkatKrovi,MechanicalandAerospaceEngineeringDirector,Automation,RoboticsandMechatronicsLaboratory,TheStateUniversityofNewYork,Buffalo,NewYork,USA

MapleSimTM 5High Performance Physical Modeling and Simulation

MapleSimisaprofessionalphysicalmodelingandsimulationtooladoptedbyengineeringresearch andeducationinstitutionsthroughouttheworld.BuiltonthelegendaryMaplesymboliccomputationenginethatrevolutionizedmathematicsresearchandeducation,MapleSimprovidesuniquetechnologythat offers greater insight into system behavior, accelerating your research and enriching your teaching. Forresearchers,MapleSimreducesmodeldevelopmenttimefrommonthstodayswhileproducinghigh-fidelity,high-performancemodels.Foreducation,instructorscanuseMapleSimtoquicklydemonstratetheconnectionbetweentheoryandphysicalbehavior,andstudentscanspendmoretimeworkingwithdesign concepts rather than the mechanics of mathematical derivations.

Afully developed symbolic modeling enginemeansMapleSimcanprovidebenefitsothersystemssimplycan’tmatch,fromautomaticallygeneratedsystemequationstoreal-timesimulation code for complex systems.

Equation-based custom components takeyoufromequationsandconceptstofinalmodelsquickly,withoutprogramming.

Revolutionary multibody technology is combined seamlessly with advanced multi-domain modeling tools to provide all the functionality you need in a single environment.

Optimized code generation produces high-performance, royalty-free code suitable even for complex real-time simulations, including hardware-in-the-loop applications.

Automatically-generated model equations in full parametric form give you open access to your models for advanced applications and analysis, including optimization, sensitivity analysis,systemidentification,inversekinematics,andmore.

Aninteractive analysis environment provides an extensive collection of powerful analysis toolsandtheabilitytoquicklycustomizeandextendthesetoolstosuityourproject.

Automated knowledge capture means you can easily integrate models, simulation results, analysis,reports,customcomponentdescriptions,animations,datafiles,andmoreintoasingleprojectfile,combiningyourreasoningwithyourresultsandfullycapturingtheengineeringknowledgethatgoesintoeachproject.

What Makes MapleSim Unique?

MapleSim Add-ons

High-Performance Physical Modeling and Simulation

MapleSim ConnectorUsingtheMapleSimConnector,high-performance,high-fidelity MapleSimmodelsareautomaticallyconvertedtoS-FunctionblocksforseamlessinclusioninSimulink®diagrams.ThehighlyefficientS-FunctionblocksaresuitableforfastexecutionwithinSimulink® and real-time implementationthroughReal-TimeWorkshop®.

MapleSim Connector for LabVIEW TM and NI VeristandTM SoftwareWiththeMapleSimConnectorforLabVIEWandNIVeriStandSoftware, high-performance,high-fidelityMapleSimmodelsareautomaticallyconvertedtousercodeblocksforeasyinclusioninyourLabVIEWVIsandNIVeriStandApplications.Themodelcodeisfullyoptimizedforhigh-speedreal-timesimulation, allowing you to get the performance you need for hardware-in-the-loop(HIL)testingwithoutsacrificingfidelity.

MapleSim Connector for dSPACE® SystemsWiththeMapleSimConnectorfordSPACESystems,youcan streamline your development process by automatically converting your high-performance,high-fidelityMapleSimmodelsintoreal-timeapplicationsrunningontheDS1104R&DControllerBoard.

MapleSim Control Design ToolboxTheMapleSimControlDesignToolboxprovidesasolidsetofessentialcontroldesigntoolsthatextendMapleSim’sexceptionalplantmodelingcapabilitiestosupportcontroldesign.Includedaretoolsformodellinearization,PIDtuning,development of state-space control strategies, and custom compensator design.

MapleSim Tire Component LibraryTheMapleSimTireComponentLibraryprovidesMapleSimuserswithindustrystandardtireforcemodelcomponentssuchasFiala,Calspan,andPacejka’smagictireformula.Inaddition,lineartiremodelsanduser-definedtiremodelsareavailable to provide flexibility for investigation and analysis.

MapleSim Driveline Component LibraryTheMapleSimDrivelineComponentLibraryprovidescomponents,transmissionsub-assemblies,andpowertrainexamplesfordrivelineapplications.Builtwithguidance from several transmission manufacturers, this library allows you to mixthebestofphysicalmodelsandempiricaldatatomaximizemodelfidelity,optimizeyourdesigns,andimproveoverallvehiclefuelefficiency.

Research• Mechatronics• Robotics• Controlplantmodeling• Automotive• Biomechanics• andmore

Courses• Mechatronics• Controlsystems• Engineeringmodeling• Robotics• Capstonedesign• Freshman(firstyear)design• andmore

Application Areas

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Maple T.A.TM Online Testing and Assessment… Powered by Maple

The only system designed for courses involving mathematicsMapleT.A.provideseverythingyouwouldexpectinanassessmentsystemplusfeaturesdesignedspecificallyfortechnicalcoursesinvolvingmathematics.

• MapleT.A.supportstheuseofconventionalmathematicalnotationinbothquestionsandstudent responses

• MapleT.A.supportscomplex,free-formentryofmathematicalequationsandintelligent,automated evaluation of student responses

• WiththepowerofMaplebehindit,MapleT.A.bringsyoutherichest,mostcomprehensive system available for mathematics assessment

Powered by MapleBecauseMapleT.A.ispoweredbyMaple,itoffersfeaturesespeciallysuitedforassessmentintechnical courses.

• Free-responsequestionsthataregradedformathematicalequivalence• Open-endedquestionsthatcanhaveinfinitelymanyanswers• Naturalmathnotationinquestiontextandstudententry• Questionsthatcontain2-Dand3-Dplotsbasedontherandomizedvaluesinthequestion,usingMaple’sextensivevisualizationtools

• Thousandsofbuilt-incommandsprovidecoverageofvirtuallyallareasofmathematics• Built-inunitsupport• Flexiblepartialmarkscoring

Maple T.A. Add-onMaple T.A. Connector for Blackboard® SoftwareTheMapleT.A.ConnectorforBlackboardSoftwareenablesyoutouseMapleT.A.orthe MapleT.A.MAAPlacementTestSuitedirectlyfrominsideyourBlackboardclasses.

Forothercoursemanagementsystems:MapleT.A.includesabuilt-inconnectortotheMoodle™coursemanagementsystem,andawebservicesAPIthatallowsyoutobuildyourown connector for other systems, including custom-built solutions.

“...In addition, after moving to Maple T.A., we’ve found that we can save approximately $100,000/year on our marking budget, which we can use to support activities and programs we couldn’t otherwise offer.”

CarrieHowells InstructionalSupportCoordinator MathematicsFacultyComputingFacilityUniversityofWaterloo

“Reliability and accuracy were our key concerns when considering an effective solution. We found both these attributes in the Maple T.A. MAA Placement Test Solution. An automated online system means that our students can take their tests anywhere and we have the results ready when they come in for orientation. Suffice to say, it made us more efficient and the students are ready to start, right from the first day of class.”

WendiannSethi DirectoroftheDepartmentof DevelopmentalMath SetonHallUniversity

E-learning Solutions

E-learning Solutions

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Maple T.A. MAA Placement Test Suite

• Easy to administer.Delivertestsonline,withoutthelogisticalheadachesofroomscheduling,papercopydelivery,markerhiring,marathonmarkingsessions,andmanualmarkentry.

• Placement before scheduling.Becausetestsaretakenonline,placementtestingcanbedoneatanytimebeforestudentsarriveoncampus.Classschedulingcanthenbedoneusing the placement information.

• Created by experts.MAAplacementtestitemsarewrittenandMAAplacementtestsare constructed by panels of college mathematics teachers who are directly involved with teachingstudentsthecoursesservedbytheplacementtests.FinalapprovalforeachtestcomesfromtheMAA.

• Comprehensive.Topicsincludecalculusandcalculusconceptsreadiness;trigonometryandelementaryfunctions;basic,regular,andadvancedalgebra;arithmetic;andhighschoolmathematics.Standard,calculator-based,andalgorithmictestsareavailable.

MapleNet TM Bringing the Power of Maple to Your Web Sites and Applications• WithMapleNet,youcaneasilyshareyourMapledocuments,calculators,

and technical applications. Your colleagues and students can interact with your content, perform calculations, and visualize results, all from within a standard web browser. Maple provides the easiest interface available for creating web applications that rely on mathematical computations.

• MapleNetprovidesastandardwebservicesapplicationprogramming interface(API),makingthecomputationalpowerofMapleavailablenomatterwhat languageorinfrastructureyouusetocreateyourwebsite,desktopapplications, and mobile applications.

• MapleNetprovidesthetoolsyouneedtoputmathematicalpowerbehindyourwebsite.MapleNetsupportswebcontentwrittenasJavaServerPages(JSP),Javaapplets,andMaplet™applications.WithMapleNet,youcandesigncustomwebapplicationsthatperform live calculations based on user input and display the results using standard mathematical notation and dynamic, interactive plots and animations.

Partnering with the Mathematical Association of America (MAA) to Revolutionize Placement Testing

Interactive E-booksThe Mathematics Survival KitTheMathematicsSurvivalKit-MapleEditionisaninteractiveelectronicbookdesignedtohelpstudentsovercomemanyofthecommondifficultiesencounteredwhenstudyingmathematics.AuthorJackWeinercoversover100topicsthattypicallyplaguestudents,basedonhis30yearsofteachingexperience,highschoolcourseoutlines,andtypicalfirstyearuniversitycalculusandalgebracurricula.Thiselectronicbookprovidesclearexplanationsandexamples,illustrativeplots and animations, and hundreds of randomly generated practice problems,includinghints,answers,andautomaticverificationofstudent responses.

Advanced Engineering MathematicsAdvancedEngineeringMathematicswithMapleisthedefinitivereferencesoftwareandtextbookforengineeringmathematics.Astheonlyfullyelectronicbookofitskindonthispopularsubject,itisanessentialresourceforeveryengineeringprofessionalorstudent.Theauthor,Dr.RobertJ.Lopez,isarenownedprofessorandMapleexpertwho has pioneered the instructional use of Maple for general and engineeringmathematics.Acompanionstudentmanualandinstructormanual are available.

Calculus Study GuideTheCalculusStudyGuideisanelectronicbookintendedtohelpastudenttakingafirstcourseincalculus.Includedare31Mapleworksheets,whichmakeuseof17interactiveMaplet™tutors.Inadditiontotheworksheetexamples,theprovidedMaplettutorsallowthe student to manipulate problems and see the results instantly for easy understanding.

Precalculus Study GuideThePrecalculusStudyGuideisanexercise-basedelectronicversionof the introductory chapter in the standard calculus text, providing solutionstomorethan60problems.Tomaximizeunderstanding,theproblemsareeachgiveninstandardtextbookformat,withdedicatedMaplettutorsandMaplecommands.Highschoolanduniversitystudentsin,orthinkingabouttakingacalculuscourse,andstudentswanting additional insight into selected topics in algebra and trigonometrywouldallbenefitfromtheguide.

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Licensing Options Maplesoft offers a wide range of flexible licensing options to suit your institution’s budget, infrastructure,andpolicies.NotonlycanyouprovidedirectaccesstoMaplesoftsoftwareoncampus computers, but you can also ensure that professors and students have easy access to thesamesoftwarebytakingadvantageofoneoftheoptionsbelow.

Choose from:• Single-userormulti-userlicenses(floatingandnon-floating)• Licensingforclassroomsandresearchlabs• Studentlicensingprogramsandlaptopprograms• Customizedlicensingprograms

VirtualizationProfessorsandstudentscanaccessMaplesoftsoftwarethroughacampuscloud,fromtheirowncomputers,throughflexiblelicensekeysharingusingCitrix® software or similar systems, and more. Maplesoft’s flexible licensing can accommodate whatever virtualization method you choose.

Redistribution YoucanpurchaserightstoredistributeMaplesoftproducts.Distributionoptionsincludemakingdownloadsavailablefromyourservers,distributing“media-only”packagessuppliedbyMaplesoft,andduplicatingamasterproductdiscanddistributingthecopies.Thisoptionmakesiteasytorecoupcosts,ifdesired,sinceyoucanselectadistributionmethodthatcanbeintegrated with your existing cost recovery or fee collection programs.

Direct purchaseProfessorsandstudentscanpurchaseMaplesoftproductsdirectlyfromtheMaplesoftwebstoreorthroughthecampusbookstore.Forstudents,fullyfunctionalsoftwareisavailableat a greatly reduced student price.

Licensing Options

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We will be happy to work with you to find the best solution to meet the needs of your institution.

Teacher Resource Center:Maplesoft has revolutionized how mathematicsistaughtandlearned.Thissite is designed to ensure you get the most out of your teaching experience using Maplesoftproducts.ThecoursecontentintheTeacherResourceCenterisdesignedtoprovide you with all the materials you need to incorporate Maplesoft technology in your classroom.

ClickableMathapplications,includinga selection of engineering examples, are alsoavailableintheTeacherResourceCenter.Theideaofpowerfulmathematicsdelivered through very visual, interactive, point-and-clickmethodshaslaunchedanew generation of teaching and learning techniques.TheseapplicationsillustratehowtouseinteractiveClickableMathtechniquestosolveavarietyofproblemsfrommathematicsandengineering.Stepsare given at every stage of the solution, and many are illustrated using short video clips.

Pleasevisitwww.maplesoft.com/teacherresource

MapleSim Demo Gallery:TheMapleSimDemoGallerycontainsanumber of real-world application examples createdusingMapleSim.SeeforyourselfthebreadthanddepthofMapleSimapplications.AlltheMapleSimmodelsinthe gallery are available for download by MapleSimusers.

Pleasevisitwww.maplesoft.com/products/maplesim/gallery

Student Help Center:TheStudentHelpCenterprovidesunmatched support to students in their mathandengineeringstudies.Problemsthat students may encounter in their courses can be solved with the help of this onlinesupportsystem.Thesitecontainsadedicated student forum, online calculators, trainingvideos,ahomeworkresourceguide, and much more.

Pleasevisitwww.maplesoft.com/studentcenter

Application Center:TheApplicationCenterfeaturesover2,000applications and tutorials contributed by the Maplesoftusercommunity.Thisgrowingcollection of applications shows how Maplesoft solutions are applied to critical technicalprojects,ininterestingreal-worldproblems, and in education.

Pleasevisitwww.maplesoft.com/applications

MaplePrimes:MaplePrimesisawebcommunitydedicatedtosharingexperiences,techniques,andopinionsaboutMaple,MapleSim,andrelated products, as well as general interest topics in mathematics and engineering. MaplePrimesprovidesaplatformforenthusiasts to present their thoughts and for inquiringmindstogetanswers.

Pleasevisitwww.mapleprimes.com

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Maplesoft Resources

Maplesoft Resources

Maplesoft Resources

MapleCloudYou can instantly access content created by Maple users worldwide using the MapleCloudDocumentExchange.Thisdynamic collection of Maple documents is available from within Maple itself and can be loaded into your Maple session at the clickofabutton.

Training:Maplesoft offers a comprehensive set of complementarytrainingmaterials.Fromcomplete training videos to recorded training seminars to downloadable documentation, you have many options to get up to speed with Maplesoft products. In addition, whether you are an expert or someone who is evaluating our products forthefirsttime,Maplesoftcanprovideacustom training session that is right for you or your institution.

Pleasevisitwww.maplesoft.com/support/training

Social Networking Communities:InadditiontoMaplePrimes,otheronlinecommunities for Maplesoft enthusiasts are availablethroughthesocialnetworkingsitesFacebook®andLinkedIn®. Join these groupstomeetlike-mindedusers,shareinteresting information, and learn more about Maplesoft and its products. You can also visit the Maplesoft channel on YouTube® to watch tutorials and other videos on mathematics, engineering, and related topics, or you can follow Maplesoft onTwitter™.

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Maplesoft Webinars:Maplesoft’s monthly webinars provide an excellent opportunity to learn about interestingapplications,newtechniques,andproducts.HostedlivebyseniorMaplesoft representatives, these one-hour interactive sessions also offer the opportunitytoaskquestionsandinteractwith the presenter.

Pleasevisitwww.maplesoft.com/company/webinars

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© Maplesoft, a division of Waterloo Maple Inc., 2011. Maplesoft, Maple, MapleSim, MapleNet, Maple T.A., Clickable Math, Clickable Engineering, Maplet, MaplePrimes, and MapleCloud are trademarks of Waterloo Maple Inc. MATLAB, Simulink, Real-Time Workshop, and MathWorks are registered trademarks of The MathWorks, Inc. LabVIEW, NI VeriStand, and National Instruments are

trademarks of National Instruments. dSPACE is a registered trademark of dSPACE GmbH. All other trademarks are the property of their respective owners.

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