A C y b e r n e t G r o u p C o m p a n y

Mathematics Tools that Enrich Your Classroom and Accelerate Your Research

MapleTM

2

The Essential Tool for Mathematics and Modeling Mathematics plays a critical role in our modern world, which is why mathematicians, scientists, and engineers everywhere rely on MapleTM software. Maple helps you analyze, explore, visualize, and solve mathematical problems quickly, easily, and accurately. With over 5000 functions covering virtually every area of mathematics, Maple has the depth, breadth, and performance to meet all your mathematical challenges.

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.

• Over5000functionscoveringvirtuallyeveryareaofmathematics, including calculus, algebra, differential equations, statistics, linear algebra, geometry, and transforms

• Symbolic,numeric,andhybridcomputationalgorithms

•World-leadingalgorithmsforsolvingproblemsthatarebeyond the reach of any other software system

• Efficientalgorithmsandtoolsforhighperformancecomputing and large-scale problem solving

Smart Document InterfaceMaple’s intuitive interface supports multiple styles of interaction, from Clickable MathTM tools to a sophisticated programming language. Using the smart document environment provided by Maple, you can automatically capture all of your technical knowledge in an electronic form that combines calculations, explanatory text and math, graphics, images, sound, and diagrams.

• ClickableMathTM interaction, including an easy-to-use mathequationeditor,Drag-to-SolveTM,SmartPopups,and self-documenting context-sensitive menus

• Sophisticatedprogramminglanguage• 2-Dand3-Dplottingandanimation,withextensive

annotation tools• Point-and-clicktutorsandMathAppsforteachingand

learning key topics in calculus, algebra, and more• Extensivedocumentcreationandword-processing

tools

Passionate User CommunityThe Maple user community is made up of talented, passionate people from around the world who do amazing things with Maple every day. Their passion leads them to share their experiences and content to thebenefitoftheentirecommunity.Asaresult,Mapleusers have access to a vast collection of resources and expertise that go far beyond the product itself.

•MaplePrimesTM, a web community dedicated to sharing experiences, techniques, and opinions

• TheMaplesoftApplicationCenterandtheMapleCloudTM Document Exchange, featuring thousands of examples and applications contributed by the Maple community

• Teacherandstudentresourcecenters,withclassroom materials, training videos, social networking communities, tips and techniques, and more

CalculusPhysicsMatrix and Vector ComputationsAlgebraDifferential EquationsEngineeringStatisticsandProcessControlMath EducationVisualizationCurve FittingOptimizationSpecialFunctions

Advanced MathematicsGeometryUnits and TolerancesScientificDataManagementFinancial ModelingStringProcessingandLinguistic ResearchCAD ConnectivityCode GenerationTesting and AssessmentParallelandGridComputingApplication DevelopmentWeb Deployment

Application Areas

3

Global OptimizationUsingtheGlobalOptimizationToolbox,youcanformulate optimization models easily inside the powerful Maple numeric and symbolic system, and then use world-class optimization technology to return thebestanswerrobustlyandefficiently.

Grid ComputingWith the Maple Grid Computing Toolbox, you can distribute computations across the nodes of a network ofworkstations,asupercomputer,ortheCPUsofamultiprocessor computer. This allows you to handle problems that are not tractable on a single machine because of memory limitations or because it would simply take too long.

Maple | www.maplesoft.com

Maple Add-ons

Maple Sets a World Record for the Computation of a Mathematical ConstantMaple was used to set a world record for the computation of the most number of digits of the Landau-Ramanujan constant. This constant arises in a result from number theory concerning the number of integers that are the sum of two squarenumbers.Dr.DavidHare,themanageroftheMathematicalSoftwareDevelopment Group at Maplesoft, used Maple and the Maple Grid Computing Toolboxtocalculatethevalueofthisconstantto125,079digits,beatingtheprevious record by over 50,000 digits.

Why Choose Maple T.A.?Maple T.A. is an easy-to-use web-based system for creating tests and assignments, and automatically assessing student responses and performance. It supports complex, free-form entry of mathematical equations and intelligent evaluation of responses, making it ideal for science, technology, engineering, mathematics(STEM),oranycoursethatrequiresmathematics.

So why choose Maple T.A.?• Maple T.A. is the only system designed for courses

involving mathematics. Maple T.A. provides everything you would expect in an assessment system plus featuresdesignedspecificallyfortechnicalcoursesinvolving mathematics.

• Maple T.A. is powered by Maple. Because Maple T.A. is powered by Maple, it offers features especially suited for assessment in technical courses

• Maple T.A. has the easiest and most comprehensive content authoring tools available. Whether you want to customize some of the thousands of available questions or create your own, Maple T.A. puts you in control of your testing content.

4

E-learningSolutions

Maple T.A.TM

OnlineTestingandAssessment…PoweredbyMaple

“...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 Mathematics Faculty Computing Facility University of Waterloo

“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,DirectoroftheDepartmentofDevelopmentalMath SetonHallUniversity

Getting Started with Maple T.A. is Easy!Licensing options include a “Maplesoft-hosted” solution for worry-free server setup and maintenance.

Maple T.A. Add-onMaple T.A. Connector for Blackboard® SoftwareTheMapleT.A.ConnectorforBlackboardSoftwareenables you to use Maple T.A. or the Maple T.A. MAAPlacementTestSuitedirectlyfrominsideyourBlackboard classes.

For other course management systems: Maple T.A. includes a built-in connector to the MoodleTM course managementsystem,andawebservicesAPIthatallows you to build your own connector for other systems, including custom-built solutions.

5

E-learning Solutions | www.maplesoft.com

•Easy to administer. Deliver tests online, without the logistical headaches of room scheduling, paper copy delivery, marker hiring, marathon marking sessions, and manual mark entry.

•Placement before scheduling. Because tests are taken online, placement testing can be done at any time before students arrive on campus. Class scheduling can then be done using the placement information.

•Created by experts. MAA placement test items are written and MAA placement tests are constructed by panels of college mathematics teachers who are directly involved with teaching students the courses served by the placement tests. Final approval for each test comes from the MAA.

•Comprehensive. Topics include calculus and calculus concepts readiness; trigonometry and elementary functions; basic, regular, and advancedalgebra;arithmetic;andhighschoolmathematics.Standard,calculator-based, and algorithmic tests are available.

MapleNetTM

BringingthePowerofMapletoYourWebSitesandApplications

Maple T.A. MAA Placement Test Suite PartneringwiththeMathematicalAssociationofAmerica(MAA) toRevolutionizePlacementTesting

• With MapleNet, you can easily share your Maple documents, 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.

• MapleNet provides a standard web services application programming interface (API), making the computational power of Maple available no matter what language or infrastructure you use to create your web site, desktop applications, and mobile applications.

• MapleNet provides the tools you need to put mathematical power behind your web site. MapleNet supports web content written as JavaServerPages(JSP),Javaapplets,andMapletTM applications. With MapleNet, you can design custom web applications that perform live calculations based on user input and display the results using standard mathematical notation and dynamic, interactive plots and animations.

6

CustomerStories

The Art of Modeling Seashell MorphologySaintMichael’sCollege

Modeling the varied shapes of seashells is an appealing application of several mathematical concepts that are introduced in multi-variable calculus. The challenge in modeling the morphology of these seashells is that the process requires a tool that combinesmathematicalmuscle,outstanding3-Dgraphics, and a powerful programming language.

Dr. Joanna Ellis-Monaghan, a professor in the MathematicsDepartmentatSaintMichael’sCollegein Colchester, Vermont, uses Maple in teaching calculus, algebra, combinatorics, and number theory. In particular, she uses Maple in Calculus III, where her students create seashell models that involve mathematical representations, data analysis and curve-fitting,and3-Dgraphics.

“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.

Maple Helps Teach Calculus to 11-Year Old StudentsThe University of Tasmania

For years, educators have been debating that use of technology in the classroom could radically change not just how we teach our children, but what we teach them, and when. The University of Tasmania in Australia set out to prove it. They used Maple to teach fifthgraderstheCalculuscurriculumusedinthefirstyear engineering program in Australian universities. The students were introduced to a series of real-world

problems and mathematical concepts, and learned howtosolvetheseproblemsinMaple.Studentsused Maple to set up the solutions to word problems, calculate results, and graph functions.

“Maple is so easy to use, its Clickable Math interface has features that make common mathematical operations as simple as pointing and clicking,” said Dr. Christopher Chin, a fellow researcher on the project andSeniorLecturerattheAustralianMaritimeCollege.“This also makes it a very easy-to-teach program. And young students effortlessly learn the fundamentals of mathematicsataveryearlyage.Studentsshouldusethe same tools that the industry is using, and this early introduction will help them in the long run.”

University of Waterloo Improves Learning while Saving Money with Maple T.A.

The University of WaterlooThe University of Waterloo chose Maple T.A. to automate the assessment tasks for many of their mathematics-based courses. Today, Maple T.A. is used todelivertestsandassignmentstoapproximately9000students/year, spread over more than 40 courses. Studentsintheengineering,mathematics,andsciencefaculties use Maple T.A. every day.

After adopting Maple T.A., the university reduced its budget for graders by one-third. Though the savings are substantial, and welcome, the university also views Maple T.A. as an important teaching tool that provides realbenefitstothequalityofthestudents’education.

“Maple T.A. has made a huge difference to us, on many levels,” says Carrie Howells, Instructional

7

Customer Stories | www.maplesoft.com

SupportCoordinatorfortheMathematicsFacultyComputing Facility. “We can offer an appropriate number of assignments to our students without being overwhelmed, and students appreciate the improved feedback on all their assignments. In addition, after moving to Maple T.A., we’ve found that we can save approximately $100,000 per year on our grading budget, which we can use to support activities and programs we couldn’t otherwise offer.”

Maple Used in Advanced Research Projects at the Automation, Robotics, and Mechatronics Lab at SUNY Buffalo

SUNYatBuffaloTheAutomation,RoboticsandMechatronics(ARM)Lab is a research laboratory in the Department of Mechanical&AerospaceEngineeringattheSchoolofEngineering&AppliedSciencesinTheStateUniversityofNewYork(SUNY)atBuffalo.

Sincemostoftheirprojectsstartwithanin-depthanalysis of the underlying mathematics of the system, the ARM Lab requires tools for developing and analyzing mathematical equations. They have chosen Maple as a key tool to complete these tasks. Dr.Venkat Krovi,directoroftheARMLab,findsusingasymbolicapproachinvaluabletotheirwork.“Performingthesecalculations symbolically allows for the development of exact, closed form expressions. We don’t need to worry about accumulating errors from numerical calculations.Perhapsevenmoreimportantly,withthe exact mathematical equations, we can identify singularities, and perform parametric design refinements.”

Created by Experts…Mapleistheresultofover30yearsofdedicationand effort by many talented people. Maple startedasaresearchprojectintheearly1980sbytheSymbolicComputationGroupattheUniversity of Waterloo. True to its origins, in addition to developing a world-class pool of in-house talent, Maplesoft has always maintained strong links with the research community, ensuring that cutting-edge research from around theworldfindsitswayintotheproduct.Herearejust some of the institutions who have contributed to Maple over the years: •University of Waterloo•ETH Zürich•University of Washington• PekingUniversity•Université Lille 1• UniversidadFederaldoPará•Western University• UtahStateUniversity• UniversityofSt.Andrews• SimonFraserUniversity• INRIA•Universität Kassel

… and Used by EveryoneMillions of users around the world rely on Maplesoft products for their research, teaching, assessment, and homework. Members of the Maple user community include:•Massachusetts Institute of Technology• UniversityofOxford• StanfordUniversity•University of Toronto• UniversityofNewSouthWales• Texas A&M University•Hokkaido University•Cornell University•University of California•OhioStateUniversity•MaxPlanckInstituteforMathematics• Indian Institute of Technology•University of Notre Dame• St.OlafCollege•University of British Columbia

8

The Mathematics Survival KitTheMathematicsSurvivalKit-MapleEditionisaninteractive electronic book designed to help students overcomemanyofthecommondifficultiesencounteredwhen studying mathematics. Author Jack Weiner covers over 100 topics that typically plague students, basedonhis30yearsofteachingexperience,highschoolcourseoutlines,andtypicalfirstyearuniversitycalculus and algebra curricula. This electronic book provides clear explanations and examples, illustrative plots and animations, and hundreds of randomly generated practice problems, including hints, answers, andautomaticverificationofstudentresponses.

Calculus Study GuideTheCalculusStudyGuideisanelectronicbookintendedtohelpastudenttakingafirstcourseincalculus.Includedare31Mapleworksheets,whichmakeuseof17interactiveMapletTM tutors. In addition to the worksheet examples, the provided Maplet tutors allow the student to manipulate problems and see the results instantly for easy understanding.

Advanced Engineering MathematicsAdvanced Engineering Mathematics with Maple is thedefinitivereferencesoftwareandtextbookforengineering mathematics. As the only fully electronic book of its kind on this popular subject, it is an essential resource for every engineering professional or student. The author, Dr. Robert J. Lopez, is a renowned professor and Maple expert who has pioneered the instructional use of Maple for general and engineering mathematics. A companion student manual and instructor manual are available.

Precalculus Study GuideThePrecalculusStudyGuideisanexercise-basedelectronic version of the introductory chapter in the standard calculus text, providing solutions to more than 60 problems. To maximize understanding, the problems are each given in standard textbook format, with dedicated Maplet tutors and Maple commands. High school and university students in, or thinking about taking a calculus course, and students wanting additional insight into selected topics in algebra and trigonometrywouldallbenefitfromtheguide.

Interactive E-books

Maple Player for iPadTheMaplePlayerisafreeapplicationfortheiPadthatlets you view and interact with documents created in desktop Maple. It takes advantage of the powerful Maple computation engine, so you can enter values, move sliders, and click buttons to perform new calculations and visualizetheresults.Youcanevenrotate3-Dplotswithabrushofyourfingertips!

TheMaplePlayerforiPadcomeswithacollectionofinteractive calculators and conceptual explorations to demonstrate the capabilities of the technology. With the MaplePlayer,youcan:

• Findsolutionstointegrals,derivatives,andlimits• Visualizethemethodsforfindingtheareaofacircleand

the volume of a cylinder• Understandthedefinitionoflimit• Plotarbitraryfunctions• Calculatesolutionstolinearsystems• Andmore!These documents can be used to liven up a classroom and provide additional insight to students outside of class.

E-books • Teaching Resources | www.maplesoft.com

9

Visit the Maplesoft Teacher Resource Center: www.maplesoft.com/teacherresource

Teaching Resources

Video Series: Teaching Concepts with Maple

Teaching Calculus with Maple: A Complete Kit

Thousands of Homework Questions

Clickable Math Applications for the Classroom

This collection of videos, together with step-by-step Maple applications, makes it easy to explore a wide variety of mathematical concepts using Clickable Math techniques in Maple. Topics are taken from differential calculus, integral calculus, multivariate calculus, differential equations, linear algebra, vector calculus, algebra, precalculus, and trigonometry, with more examples added every month.

EverythingyouneedtoteachCalculus1andCalculus2!Leveraging both Maple and Maple T.A., Teaching Calculus with Maple includes lecture notes, student worksheets, Maple demonstrations, Maple T.A. homework, and more. Developed at the University of Guelph under the leadership of an award-winning teacherandfield-testedinclasseswithhundredsofstudents,Teaching Calculus with Maple makes it easy to provide students with a rich, effective learning environment.

• Engageyourstudentswithhighlyinteractivelectures

• Reinforceconceptswith“what-if”explorationsbuiltrightintotheclass notes

• Consolidatelearningwithcarefullyconstructedhomeworkquestions that include hints and feedback for the students, all algorithmically-generated and graded by Maple T.A.

• Easilymodifylecturenotestocustomizethematerialtoyourspecificneedsandpreferences

Maple T.A. users can take advantage of thousands of free questions on calculus, precalculus, algebra, physics, and more. Questions and assignments can be freely used, recombined,andmodified.

The idea of powerful mathematics delivered through very visual, interactive, point-and-click methods has launched a new generation of teaching and learning techniques in mathematics. Classroom materials include interactive concept demonstrations, lecture notes, homework assignments, and more.

10

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

Maplesoftoffersawiderangeofflexiblelicensingoptions to suit your institution’s budget, infrastructure, and policies. Not only can you provide direct access to Maplesoft software on campus computers, but you can also ensure that professors and students have easy access to the same software by taking advantage of one of the options below.

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

• Licensingforclassroomsandresearchlabs• Studentlicensingprogramsandlaptopprograms• Customizedlicensingprograms

VirtualizationProfessorsandstudentscanaccessMaplesoftsoftwarethrough a campus cloud, from their own computers, throughflexiblelicensekeysharingusingCitrix® software or similar systems, and more. Maplesoft’s flexiblelicensingcanaccommodatewhatevervirtualization method you choose.

Redistribution You can purchase rights to redistribute Maplesoft products. Distribution options include making downloads available from your servers, distributing “media-only” packages supplied by Maplesoft, and duplicating a master product disc and distributing the copies. This option makes it easy to recoup costs, if desired, since you can select a distribution method that can be integrated with your existing cost recovery or fee collection programs.

Direct purchaseProfessorsandstudentscanpurchaseMaplesoftproducts directly from the Maplesoft web store or through the campus bookstore. For students, fully functional software is available at a greatly reduced student price.

LicensingOptions

Maplesoft Resources | www.maplesoft.com

11

Maplesoft Resources

Author Support ProgramTheMaplesoftAuthorSupportProgrammaybeabletohelpyou!Ifyouareeligible,youwillbeentitled to get copies of our products, and we will promote your book through the Maplesoft marketing network.

Visit www.maplesoft.com/books/author.aspx

Teacher Resource CenterMaplesoft has revolutionized how mathematics and engineering is taught and learned. This site is designed to ensure you get the most out of your teaching experience using Maplesoft products. The course content in the Teacher Resource Center is designed to provide you with all the materials you need to incorporate Maplesoft technology in your classroom.Visit www.maplesoft.com/teacherresource

Student Help CenterTheStudentHelpCenterprovidesanunmatchedonline support system to students in their math and engineering studies. The site contains a dedicated student forum, online calculators, training videos, a homework resource guide, and much more.Visit www.maplesoft.com/studentcenter

Application CenterTheApplicationCenterfeaturesover2,000 applications and tutorials contributed by the Maplesoft user community. This growing collection shows how Maplesoft solutions are applied to solve technical problems.Visit www.maplesoft.com/applications

TrainingMaplesoft offers a comprehensive set of complementary training materials. From training videos to recorded training seminars to downloadable documentation, you have many options to get up to speed with Maplesoft products.Visit www.maplesoft.com/support/training

MaplePrimesMaplePrimesisawebcommunitydedicatedtosharing experiences, techniques, and opinions about Maplesoft products, as well as general interest topics in mathematics and engineering.Visit www.mapleprimes.com

MapleCloudYou can instantly access content created by Maple users worldwide using the MapleCloud Document Exchange. This dynamic collection of Maple documents is available from within Maple itself and can be loaded into your Maple session at the click of a button.

Social Networking CommunitiesOnlinecommunitiesforMaplesoftenthusiastsareavailable through social networking sites Facebook® and LinkedIn®. 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 on TwitterTM.

Maplesoft WebinarsMaplesoft’s monthly webinars provide an excellent opportunity to learn about interesting applications, new techniques, and products. Hosted live by senior Maplesoft representatives, these one-hour interactive sessions also offer the opportunity to ask questions and interact with the presenter.Visit www.maplesoft.com/company/webinars

Maplesoft SubscriptionsDo you want to hear from Maplesoft? Join the tens of thousands of others who have already signed up.Visit www.maplesoft.com/subscribe

www.maplesoft.com | info@maplesoft.com Toll-free:(US&Canada)1-800-267-6583|Direct:1-519-747-2373

©Maplesoft,adivisionofWaterlooMapleInc.,2012.Maplesoft,Maple,MapleNet,MapleT.A.,ClickableMath,Maplet,Drag-to-Solve,MaplePrimes,andMapleCloudaretrademarks of Waterloo Maple Inc. LabVIEW and National Instruments are trademarks of National Instruments. All other trademarks are the property of their respective owners.

www.maplesoft.com

A C y b e r n e t G r o u p C o m p a n y