Product Specifications Testing Solutions MATHEMATICS Differential Geometry** Physics** • Visualization routines to aid in the understanding of • Scale and pan 2-D and 3-D plots and animations* • Vector fields, differential forms and transformations; tensor • Includes 3D non-projected vectors, noncommutative concepts including Taylor approximation, change of • Real-time rotation of 3-D plots Maple includes over 4,000 computational functions to deliver variables, center of mass, gradient, Jacobian, and analysis; calculus on jet spaces; Lie algebras and Lie variables, spacetime tensors including the indexed • Interactive control of parameters through slider controls the richest set of computation tools for any area in mathematics, groups, and transformation groups differentiation operator, Einstein’s summation convention for surface area science, or engineering. • Wide variety of coordinate systems • Complete course in Differential Geometry and its repeated indices, Pauli and Dirac matrices, Dirac notation Vector Calculus* • Layering of graphics and animations of different types applications for bra-ket quantum state vectors and other mathematical • Computations, visualizations* and interactive problem MAJOR TOPICS INCLUDE: physics objects n m • Standard geometric objects, regular solids, and polyhedra, Discrete Transforms solving involving the calculus of functions from R to R Algebra • Supports the use of standard notation and allows you including ellipses, hyperbolae, polygons, cones, spheres, • Fast Fourier transform and inverse transform of single or • Interactive tutors for exploring space curves and vector to define a framework of notational conventions and torii, dodecahedra, icosahedra, and tetrahedra • Exact symbolic arithmetic with real and complex numbers multidimensional data fields through plots and animations spacetime properties • Over 40 visualization routines display concepts presented • Factor, expand, combine, and simplify algebraic Euclidean Geometry • Supports 5 predefined coordinate systems expressions Polynomials* in calculus, precalculus, multivariate calculus, and linear • Close to 300 commands for constructing, computing, Dictionary algebra courses • Factor, expand, manipulate, and compute properties of • Sequences and series* plotting, and translating 2-D and 3-D objects • Over 5,000 definitions of mathematical and engineering polynomials • Plot builder assistant for creating and modifying plots Calculus Financial Mathematics terms and concepts incorporated into the Help system and animations Q-Difference Equations • Compute derivatives, integrals, and limits* • Annuities and growing annuities, cash flows, perpetuities • Includes over 300 figures to clearly explain the concepts • Solve linear q-difference equations with polynomial • Continuity testing and growing perpetuities, and level coupons Graphing Calculator Maple T.A. is an easy-to-use web-based system for creating tests coefficients • Asymptotic expansion, and directional and multidirectional • Amortization, Black-Scholes option pricing, effective rate, • Traditional graphing calculator interface Rational Normal Forms User Interface limits future value, present value, and yield to maturity • Standalone or over a MapleNet™ installation Maple includes many features to automate tasks and interact and assignments, automatically assessing student responses and • Computation of polynomial and rational normal forms, Differential Equations Gaussian Integers with Maple without knowledge of Maple commands and syntax. canonical forms of rational functions, and minimal Maple T.A. Assessment Tools performance. It supports complex, free-form entry of mathematical • Exact and numerical solutions of ODEs and ODE systems* • Chinese remainder, GCD, and LCM of Gaussian integers representations of hypergeometric terms • Question authoring environment provides templates for • Sophisticated 2-D Math editing • Exact and numerical solutions of PDEs and PDE systems* • Gaussian integer factorization Real Domain Computations creating common question types, such as fill-in- the-blank, • Self-documenting context menus* equations and intelligent evaluation of responses, making it ideal for Maple-graded, and multiple-choice questions. • Exact and numerical solutions of Boundary Value Problems • Extended Euclidean algorithm for Gaussian integers • Restrict calculations to the domain of real numbers • Over 20 palettes for expressions, symbols, matrices, for PDEs • Questions can include algorithmically generated content operators, including a handwriting palette* and favorites Generating Functions Series Expansions mathematics, science, or any course that requires mathematics. • Numerical solutions for Differential Algebraic ODE initial • Questions can contain plots, hints, feedback and palette** • Tools for determining and manipulating generating • Compute Taylor, Puiseux and asymptotic series expansions value problems (DAEs)* functions, including ordinary and exponential generating algorithmically-generated variables. • Comprehensive word-processing* for creating professional Scientific Constants Maple T.A. – Your first choice in assessment technology • Differential elimination for ODE and PDE systems functions • Assignments are used inside Maple, printed, or exported reports and presentations** • Support for over 70 scientific constants including the • Structural analysis and order-reduction of ODEs and PDEs • Tools for determining a probable generating function to Maple T.A. • Spell-checker containing standard math terms Newtonian constant of gravitation, magnetic flux quantum, from initial terms • Command completion • Interactive Maplet™ Assistant for numeric and symbolic and conductance quantum • When you want to create your own content - Maple T.A. has Make scenes like this a thing of the past. solutions of ODEs and ODE systems* Graph Theory* • Output automatically labeled for easy referencing* • Properties of all elements and isotopes of the Periodic Table Linear Algebra • Directed graphs, undirected graphs, and edge weights* Programming • Tables, symbolic spreadsheets, embedded components; the easiest and most comprehensive content authoring tools • Tools for building custom scientific constants • Over 100 commands for constructing, solving, • More than 150 functions and 35 pre-defined special Flexible programming language, tools, and base routines. such as buttons and sliders* Scientific Error Analysis programming, and querying topics in linear algebra* graphs** • Advanced programming language* • Over 40 interactive tutors display concepts presented in available • Representation and construction of numerical quantities • Symbolic and numeric computations* • Visualization of graphs in two and three dimensions** • Procedural and functional programming precalculus, calculus, multivariate calculus, vector calculus, that have a central value and associated error and linear algebra courses Mathematics • Modeling • Simulation • Eigenvalues and eigenvectors, both classical and Groebner Bases* and Polynomial Ideals* • Operator overloading Special Functions • Over 250 task templates for fill-in-the-blank problem • When you are teaching science, math or engineering - Maple generalized • Groebner bases over commutative and non-commutative • Exception handling • Over 100 special functions solving* • Sophisticated algorithms for modular linear algebra* domains • Debugging, profiling, and library management tools • Includes Airy Ai and Bi wave functions, Bessel, Chebyshev, • Task assistants for many tasks including analyzing ODEs T.A. is the only system designed specifically for technical • Many matrix factorizations and system solvers • Incorporates the FGb library, the world’s fastest Groebner Ei, Si, Ci, Li, error function, Gamma, Zeta, Heun, Legendre, • User-level routines for multi-threaded programming on and ODE systems, creating plots and matrices, converting 3.0 bases engine** courses involving mathematics • State-of-the-art numerical methods for dense and sparse Jacobi functions multi-core computers** units, and back-solving* systems with a high degree of user control • Ideal membership and containment Statistical Process Control • Analysis of the code complexity of a Maple procedure • Document blocks to write content with live calculations Solvers • Radical, prime and primary decompositions and module • Supports 11 different control charts for process control while hiding computation details* • When you want confidence in your assessment technology • Solve equations and systems of algebraic equations • Hilbert series, polynomials and dimensions variables and attributes, including EWMA, S, MA and • Ability to create new worksheets, programs, packages, • Help Navigator for searching help pages, tasks, tutors, symbolically and numerically for closed form and Group Theory X-bar charts modules, and help pages definitions, and manuals approximate solutions* - Maple T.A. is developed by Maplesoft, a trusted name in • 34 commands, including calculating the elements of a • Visualize both numeric and non-numeric quality • Source code of most routines available for viewing • Drawing canvas** includes shapes, lines, arrows, text, Place your incoming students in the appropriate mathematics • Inequalities and systems of inequalities* permutation group, order computations, and finding a characteristics • Assumptions on variables outline and fill color control, and provides alignment tools, education technology with years of experience developing • ODEs*, PDEs*, and DAEs* permutation of a group Symbolic-Numeric Algorithms for Polynomials • Create and manipulate many kinds of objects, including grid controls, and a favorites palette • Numerous specialized solvers including routines for Integral and Discrete Transforms • Algebraic manipulation of numeric polynomials sets, strings, lists, arrays, and libraries* products for technical academics courses quickly and painlessly using the renowned equations over the integers, equations over the integers • Laplace, Fourier, Fourier sine, Fourier cosine, Hankel, Tensors • Tools for manipulating mathematical objects, including mod m, recurrence equations, differential equations, series Hilbert, Mellin, Z transforms, and their inverses polynomials, integrals and sums* Connectivity • Routines that deal with tensors, their operations, and their Maple 11 is an essential tool for researchers, teachers, and students in Mathematics Association of America (MAA) placement tests solutions, and q-difference equations* Maple adheres to international standards for data Lie Symmetries use in General Relativity, both in the natural basis and in • Extend existing types Statistics communication by enhancing tool interoperability and Web • Lie group symmetry methods for differential forms, ODEs, a moving frame • Generate and manipulate Maple worksheets through its offered through the Maple T.A. online testing environment. • Wide range of common statistical tasks, such as connectivity. and PDEs** Tolerances XML representation quantitative and graphical data analysis, simulation, and • Access Maple algorithms and data structures in compiled any technical discipline. It lets you explore, visualize, and solve even Linear Functional Systems of Equations • Compiler package for dramatic speed-up of numerical curve fitting • Perform best- and worst-case computations with quantities C, Java and Visual Basic® programs using OpenMaple™ • Online tests are easy to administer, avoiding the • Transformations of a matrix recurrence system into an involving tolerances, using standard notation computations • Over 35 continuous and discrete probability distributions • MathML 2.0 presentation and content support and tools for creating custom distributions equivalent system with nonsingular leading and trailing • Tolerances understood by arithmetic operators and by many logistical headaches of traditional placement tests matrices • Import and export of XML documents • Interactive data analysis assistant built-in functions, including square roots, exponentials, the most complex mathematical problems, providing greater insight • Rational and formal power series solutions of a linear trigonometric and special functions Custom Interfaces • TCP/IP socket connectivity • Statistical plots including box plots, bar charts, histograms, functional system of equations with polynomial coefficients Maple lets you create custom user interfaces to access built-in • External calling to Java, C, and Fortran* • Flexible delivery and instant results mean you can finish probability plots, and scatter plots* Units and Dimensions Linear Operators and user-written routines. • Code Generation • Tools for fitting linear and nonlinear models to data points • Support for over 500 units and dimensions defined using Embedded Components* into the math and reducing errors. Teachers can bring both simple and placement before starting scheduling and performing regression analysis • Numerous commands to manipulate d’Alembertian terms exact conversions ° Generate Visual Basic, MATLAB®, Java, C, and Fortran • Components include buttons, sliders, plots, check boxes, code • Statistical Process Control (SPC) package with 11 different • Conversions among Ore polynomial structures, linear • Systems of units include Atomic, CGS, Electromagnetic, list boxes, toggle buttons, and mathematical expression statistical control charts for process control variables ODEs, linear recurrence equations, and factored OrePoly Electrostatic, FPS, MKS, MTS, and SI ° Override or add to code translations specified in the • Created by experts and put through statistically rigorous boxes for entering and displaying 2-D math and attributes structures • Over 50 base quantities include acceleration, area, dynamic existing definition or specify an entirely new language • Add components to your document using the Components definition complex problems to life; students can focus on concepts rather than the Vector Calculus* Linear Programming viscosity, electric resistance, energy, heat transfer, light, validation by the MAA, these tests provide proven magnetic flux, and mass palette • Link to MATLAB • Directional derivatives, gradients, Hessian matrices, and • Solve linear programs using symbolic and numeric • Easily programmable to accept input, display results and Laplacians of a function methods, including simplex* • Ability to add and remove systems and dimensions ° From within Maple, use MATLAB to compute Cholesky reliable assessment plots, and interact with other elements of the document factorization, determinants, dimensions, eigenvalues, LU • Curl and divergence of a vector field Linear Recurrence Equations* Variational Calculus mechanics of solutions; and researchers can develop more sophisticated Maplet Application decompositions • Jacobian and Wronskian matrices of a list of functions • Polynomial, rational, and hypergeometric solutions of linear • Euler-Lagrange equations and first integrals • Create custom Java™-based graphical user interfaces ° Call out to MATLAB to compute and retrieve the results of • Subjects include Arithmetic, Basic Algebra, Algebra, recurrence equations • Solve Jacobi differential equation for conjugate points • Cross products and dot products of vectors and differential to access the Maple kernel and libraries, or user-written MATLAB expressions.* • Solutions of divide and conquer recurrence equations • Weierstrass excess function operators Maple functions • Easy import and export of Microsoft® Excel® data files algorithms or models. Trigonometry and Calculus Readiness Logic • Graphical elements include text areas, buttons, equation ° Programmatic and interactive use through the Data Import • Simplification and normal forms for Boolean expressions OTHER TOPICS INCLUDE: editors, slider bars, tool tips, plotting windows, and Assistant and Matrix Browser Numerical Approximations numerous built-in dialogs Abstract Algebra* Mathematics Education ° Supports partial file import • Arbitrary precision numerical computations • Can be created programmatically or through the point-and- • Groups, polynomials ideals, greatest common divisors, • Link to Microsoft Excel 2000, Excel XP, and Excel 2003 Maple includes educational packages and resources to assist click Maplet Builder finite rings and fields • Chebyshev-Pade and minimax rational approximation students by furthering their understanding of concepts presented on Windows • Perform calculations and display graphs without seeing Algebraic Curves* • Conversion of rational functions to continued-fraction form in mathematics courses. ° Access the Maple kernel from within Excel and Polynomials to Horner form the Maple code • Holomorphic differentials and genus of an algebraic curve Precalculus ° Function Wizard steps through the creation of a Maple Context-Sensitive Menus • Normal forms for elliptic and hyperelliptic curves Number Theory* • Study lines, polynomials, rational functions, compositions function • Primality testing • Design a context menu or edit an existing menu Combinatorial Functions of functions, and more using interactive tutors and • Mathematica® Notebook conversion and command • Computation of the nth Fermat number and the nth visualization routines translation tools • Permutations and combinations Licensing Options: Mersenne prime Calculus • Export worksheets to HTML, XML, MathML, LaTeX, • Construction of random combinations, partitions, and • Computation of the nth convergent, denominator, and Visualization and RTF permutations • Single step through differentiation, integration, and numerator of simple and regular continued fractions limit problems Maple includes a comprehensive set of visualization tools to • Export plots to BMP, DXF, EPS, GIF, HPGL, JPEG, PCX, Maplesoft offers a range of pricing and licensing options. • Stirling numbers of the first and second kind, polynomials, Optimization make problem exploration easier. POV, TEK, and WMF* and Fibonacci numbers • Visualization routines display a function and its • Numeric methods for the solution of optimization problems derivative, Taylor series approximation, Newton’s method, • 2-D and 3-D graphs* • Import, manipulate and export data from WAV, JPEG, Pricing is available for single classes, departments, and entire Combinatorial Structures approximating integrals, antiderivatives, surfaces of • Interactive Optimization assistant for defining, solving and • 2-D and 3-D animations* and TIFF files* • Computation and solution of a system of generating revolution, and more visualizing problems • 2-D and 3-D implicit plots* • Import data from ASCII, CSV, Matrix Market, MATLAB, institutions. Institutions can host the system on their own function equations associated with an attribute grammar • Explore these Calculus 1 concepts using interactive tutors • Solvers for linear, quadratic, and nonlinear programs, • 2-D and 3-D contour plots and more • Generation of random combinatorial objects and counting servers or choose a Maplesoft hosted option. including constrained and unconstrained problems Linear Algebra • 2-D and 3-D complex plots • Direct links to the Maple Application Center™, Maple the objects of a given size Student Center™, Maplesoft™ corporate Web site, and more • Solvers for linear and nonlinear least-squares problems • Single step through Gaussian elimination; Gauss- Jordan • Conformal mapping Complex Arithmetic and Functions elimination; and the computation of the inverse, • Solvers for integer linear programs • Vector fields For more information contact Maplesoft at: 1-800-267-6583 • Complex numbers, fractions, constants, and variables eigenvalues, and eigenvectors of a matrix using * Enhanced features in Maple 11 Orthogonal Polynomials interactive tutors • ODE and PDE plots* Curve Fitting **New features in Maple 11 • Commands to generate the nth Chebyshev, Gegenbauer, • Light modeling, legends*, axis control*, titles*, glossiness, (USA and Canada) or via email at [email protected]. • B-spline basis functions, polynomial interpolation, least- • Visualization routines display the cross product of two Hermite, Laguerre, Legendre, and Jacobi polynomials gridlines*, and transparency squares approximation, rational interpolation, and splines vectors, a system of 2-D or 3-D linear equations, the P-adic Numbers projection of a vector onto a subspace, and more • Display typeset text and mathematical expressions in plot The power of Maple brings you the richest, most comprehensive Outside the US and Canada, please contact a Reseller in your Differential Algebra • Commands for p-adic evaluation, expansion, and functions • Over 65 routines for computing with matrices and vectors titles, labels, legends, tickmark labels, and axes labels** • Manipulation and reduction of differential equations region. A list of resellers is available at www.maplesoft.com/ • Computation of the order and the leading coefficient of a Multivariate Calculus • International (non-English) characters in text** system available for mathematics assessment! Open-ended free- • Development of the solutions into formal power series p-adic expansion of a rational function • Interactive tutors allow you to work through the standard • Plot annotations for 2-D plots include arrows, shapes, and response questions, 2-D and 3-D plots, and built-in mathematics contact/international. Differential Forms problems of multivariate calculus in a visually directed drawing tools** • Create, manipulate, and compute with differential forms manner and randomization tools are just some of the benefits of having Maple built in.

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for Colleges and Universities Millions of users have discovered that the best Mathematics • Modeling • Simulation way to do math is through Maple. Intelligent symbolic algorithms remove mechanical errors that cost No other math software company understands the realities of academic mathematics like time and impede comprehension. An extensive range Maple 11’s Smart Document : The Ideal Environment Maplesoft does. With a world-wide user community representing over 95% of the world’s major universities, of visualization and animation tools lets you see your Maplesoft is the market leader in innovative education, research, and administration in technical disciplines. mathematics in countless ways, improving insight and creativity. Convenient publishing tools let you present for All Your Mathematical Work interactive content to your students, your colleagues, and even peers around the world. Maple 11 offers a unique combination of power and ease-of-use. Its world-leading computation engine offers the breadth and depth to Content and E-books Resources and Services • Thousands of mathematical functions covering the handle every type of mathematics. The smart document interface leads the pack among math software packages, with virtually no learning curve entire technical curriculum - from basic algebra and to perform even sophisticated tasks. Its rich document-centric environment produces live documents that are fully interactive and as professional The precalculus, to calculus and differential equations, looking as a textbook. Maple 11 e-books combine rich reference Mathematics Survival Kit content with interactive exercises. Maple™ Edition A vast array of Maple shareware including through to applied and advanced courses E-book covering all fundamental math skills. applications, tutorials, case studies and more. • Hundreds of 2-D and 3-D plotting routines including www.mapleapps.com explicit, implicit, parametric, non-cartesian, vector field, Advanced Engineering contour, logarithmic, statistical, and more Numeric formatting ™ Mathematics with Maple • Professional publishing tools include Web publishing, E-book covering all essential math topics in engineering. live Web content using MapleNET, exporting to Word, Customizable LaTeX, and MathML 2.0, and a PowerPoint®-like slide favorites palette Forums and blogs connecting you to Maple presentation mode users and experts around the world. Share E-books for the core collegiate topics of calculus and your thoughts and ideas. Get answers to your precalculus. technical questions quickly. Built-in dictionary and www.mapleprimes.com From The Classroom to The Research Lab templates provide instant access to reference Extensive library of e-books and content authored by Annotations information and Maple experts in many fields. Topics include mechanics, signal No other math package strikes a better balance techniques to work with processing, chemistry, physics, finance, training, and The world’s first podcast covering math and between ease-of-use and power. Unlike graphing the concepts. more. math technology. Maple tips, news, and calculators, Maple will stay with students through their interviews with leading personalities. undergraduate program, graduate school, and beyond into their professional careers. Unlike programming- Add-on Products and Toolboxes based numerical tools, Maple works in an intuitive, natural way. How you think about math is how you do BLOCKBuilder ™ An ongoing series of seminars, for Simulink® your math in Maple 11. demonstrations, training, and applications A First Principles physical modeling environment that • Industry leading algorithms for differential equations delivered on the Web. Toll-free audio is (ODE, PDE, DAE, etc.) offers automated export to Simulink. available in most locations. • High performance numerical computation for ® Toolbox MATLAB • Wide range of modeling and simulation tools for

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