Product SpecificationsMATHEMATICSMaple includes over 4,000 computational functions to deliver the richest set of computation tools for any area in mathematics, science, or engineering.

MAJOR TOPICS INCLUDE:Algebra*

• Exact symbolic arithmetic with real and complex numbers• Factor, expand, combine, and simplify algebraic

expressions• Sequences and series

Calculus• Compute derivatives, integrals, and limits• Continuity testing• Asymptotic expansion, and directional and multidirectional

limitsDifferential Equations*

• Exact and numerical solutions of ODEs and ODE systems*• Exact and numerical solutions of PDEs and PDE systems*• Exact and numerical solutions of Boundary Value Problems

for PDEs• Numerical solutions for Differential Algebraic ODE initial

value problems (DAEs)*• Differential elimination for ODE and PDE systems• Structural analysis and order-reduction of ODEs and PDEs*• Interactive Maplet™ Assistant for numeric and symbolic

solutions of ODEs and ODE systemsDynamic Systems**

• Commands for creating, analyzing, simulating, and plotting linear time-invariant systems, which are essential steps in control systems development

• Model representations: transfer function, differential/difference equation, state space, and zero/pole/gain models

• Plotting tools: time and frequency domain responses, root-locus and root-contour plots, and plots of zeros and poles of a linear system

Linear Algebra*• Over 100 commands for constructing, solving,

programming, and querying topics in linear algebra• Symbolic and numeric computations• Eigenvalues and eigenvectors, both classical and

generalized• Sophisticated algorithms for modular linear algebra• Many matrix factorizations and system solvers• State-of-the-art numerical methods for dense and sparse

systems with a high degree of user controlSolvers*

• Solve equations and systems of algebraic equations symbolically and numerically for closed form and approximate solutions*

• Inequalities and systems of inequalities*• ODEs*, PDEs*, and DAEs*• Numerous specialized solvers including routines for

equations over the integers, equations over the integers mod m, recurrence equations, differential equations, series solutions, and q-difference equations*

Statistics*• Wide range of common statistical tasks, such as

quantitative and graphical data analysis, simulation, and curve fitting

• Over 35 continuous and discrete probability distributions and tools for creating custom distributions

• Interactive data analysis assistant• Statistical plots including box plots, bar charts, histograms,

probability plots, and scatter plots• Tools for fitting linear and nonlinear models to data points

and performing regression analysis• Statistical Process Control (SPC) package with 11 different

statistical control charts for process control variables and attributes

Vector Calculus• Directional derivatives, gradients, Hessian matrices, and

Laplacians of a function• Curl and divergence of a vector field• Jacobian and Wronskian matrices of a list of functions• Cross products and dot products of vectors and differential

operators

OTHER TOPICS INCLUDE:Abstract Algebra*

• Groups, polynomial ideals, greatest common divisors, finite rings and fields

Algebraic Curves• Holomorphic differentials and genus of an algebraic curve• Normal forms for elliptic and hyperelliptic curves

Combinatorial Functions• Permutations and combinations• Construction of random combinations, partitions, and

permutations• Stirling numbers of the first and second kind, polynomials,

and Fibonacci numbers

Combinatorial Structures• Computation and solution of a system of generating

function equations associated with an attribute grammar• Generation of random combinatorial objects and counting

the objects of a given size

Complex Arithmetic and Functions• Complex numbers, fractions, constants, and variables

Curve Fitting*• B-spline basis functions, polynomial interpolation, least-

squares approximation, rational interpolation, and splines

Differential Algebra• Manipulation and reduction of differential equations• Development of the solutions into formal power series

Differential Forms• Create, manipulate, and compute with differential forms

Differential Geometry*• Vector fields, differential forms and transformations; tensor

analysis; calculus on jet spaces; Lie algebras and Lie groups, and transformation groups

• Complete course in Differential Geometry and its applications

Discrete and Integral Transforms• Laplace, Fourier, Fourier sine, Fourier cosine, Fast Fourier,

Hankel, Hilbert, Mellin, Wavelet**, Z transforms, and their inverses

Euclidean Geometry• Close to 300 commands for constructing, computing,

plotting, and translating 2-D and 3-D objectsFinancial Mathematics

• Annuities and growing annuities, cash flows, perpetuities and growing perpetuities, and level coupons

• Amortization, Black-Scholes option pricing, effective rate, future value, present value, and yield to maturity

Gaussian Integers• Chinese remainder, GCD, and LCM of Gaussian integers• Gaussian integer factorization• Extended Euclidean algorithm for Gaussian integers

Generating Functions• Tools for determining and manipulating generating

functions, including ordinary and exponential generating functions

• Tools for determining a probable generating function from initial terms

Graph Theory• Directed graphs, undirected graphs, and edge weights• More than 150 functions and 35 pre-defined special graphs• Visualization of graphs in two and three dimensions

Groebner Bases and Polynomial Ideals• Groebner bases over commutative and non-commutative

domains• Incorporates the FGb library, the world’s fastest Groebner

bases engine• Ideal membership and containment• Radical, prime and primary decompositions• Hilbert series, polynomials and dimensions

Group Theory• 34 commands, including calculating the elements of a

permutation group, order computations, and finding a permutation of a group

Lie Symmetries• Lie group symmetry methods for differential forms,

ODEs, and PDEsLinear Functional Systems of Equations

• Transformations of a matrix recurrence system into an equivalent system with nonsingular leading and trailing matrices

• Rational and formal power series solutions of a linear functional system of equations with polynomial coefficients

Linear Operators• Numerous commands to manipulate d’Alembertian terms• Conversions among Ore polynomial structures, linear

ODEs, linear recurrence equations, and factored OrePoly structures

Linear Programming• Solve linear programs using symbolic and numeric

methods, including simplexLinear Recurrence Equations

• Polynomial, rational, and hypergeometric solutions of linear recurrence equations

• Solutions of divide and conquer recurrence equationsLogic

• Simplification and normal forms for Boolean expressionsNumerical Approximations

• Arbitrary precision numerical computations• Chebyshev-Pade and minimax rational approximation• Conversion of rational functions to continued-fraction form

and Polynomials to Horner formNumber Theory*

• Primality testing• Computation of the nth Fermat number and the nth

Mersenne prime• Computation of the nth convergent, denominator, and

numerator of simple and regular continued fractionsOptimization

• Numeric methods for the solution of optimization problems• Interactive Optimization assistant for defining, solving and

visualizing problems• Solvers for linear, quadratic, and nonlinear programs,

including constrained and unconstrained problems• Solvers for linear and nonlinear least-squares problems• Solvers for integer linear programs

Orthogonal Polynomials• Commands to generate the nth Chebyshev, Gegenbauer,

Hermite, Laguerre, Legendre, and Jacobi polynomialsP-adic Numbers

• Commands for p-adic evaluation, expansion, and functions• Computation of the order and the leading coefficient of a

p-adic expansion of a rational function

Physics*• Includes anticommutative and noncommutative variables

and functions, spacetime tensors, algebraic vectors, and standard objects used in mathematical physics computations, including Pauli and Dirac matrices and the Kronecker delta

• Permits the use of standard notational abbreviations by allowing you to define a framework of notational conventions and spacetime properties

Polynomials*• Factor, expand, manipulate, and compute properties of

polynomialsQ-Difference Equations

• Solve linear q-difference equations with polynomial coefficients

Rational Normal Forms• Computation of polynomial and rational normal forms,

canonical forms of rational functions, and minimal representations of hypergeometric terms

Real Domain Computations• Restrict calculations to the domain of real numbers

Series Expansions• Compute Taylor, Puiseux and asymptotic series expansions

Scientific Constants• Support for over 70 scientific constants including the

Newtonian constant of gravitation, magnetic flux quantum, and conductance quantum

• Properties of all elements and isotopes of the Periodic Table• Tools for building custom scientific constants

Scientific Error Analysis• Representation and construction of numerical quantities

that have a central value and associated errorSpecial Functions

• Over 100 special functions• Includes Airy Ai and Bi wave functions, Bessel, Chebyshev,

Ei, Si, Ci, Li, error function, Gamma, Zeta, Heun, Legendre, Jacobi functions

Statistical Process Control• Supports 11 different control charts for process control

variables and attributes, including EWMA, S, MA and X-bar charts

• Visualize both numeric and non-numeric quality characteristics

Symbolic-Numeric Algorithms for Polynomials• Algebraic manipulation of numeric polynomials

Tensors• Routines that deal with tensors, their operations, and their

use in General Relativity, both in the natural basis and in a moving frame

Tolerances• Perform best- and worst-case computations with quantities

involving tolerances, using standard notation• Tolerances understood by arithmetic operators and by many

built-in functions, including square roots, exponentials, trigonometric and special functions

Units and Dimensions• Support for over 500 units and dimensions defined using

exact conversions• Systems of units include Atomic, CGS, Electromagnetic,

Electrostatic, FPS, MKS, MTS, and SI• Over 50 base quantities include acceleration, area, dynamic

viscosity, electric resistance, energy, heat transfer, light, magnetic flux, and mass

• Ability to add and remove systems and dimensionsVariational Calculus

• Euler-Lagrange equations and first integrals• Solve Jacobi differential equation for conjugate points• Weierstrass excess function

Mathematics EducationMaple includes educational packages and resources to assist students by furthering their understanding of concepts presented in mathematics courses.Precalculus

• Study lines, polynomials, rational functions, compositions of functions, and more using interactive tutors and visualization routines

Calculus• Single step through differentiation, integration, and

limit problems• Visualization routines display a function and its

derivative, Taylor series approximation, Newton’s method, approximating integrals, antiderivatives, surfaces of revolution, and more

• Explore these Calculus 1 concepts using interactive tutorsLinear Algebra

• Single step through Gaussian elimination; Gauss- Jordan elimination; and the computation of the inverse, eigenvalues, and eigenvectors of a matrix using interactive tutors

• Visualization routines display the cross product of two vectors, a system of 2-D or 3-D linear equations, the projection of a vector onto a subspace, and more

• Over 65 routines for computing with matrices and vectorsMultivariate Calculus

• Interactive tutors allow you to work through the standard problems of multivariate calculus in a visually directed manner

• Visualization routines to aid in the understanding of concepts including Taylor approximation, change of variables, center of mass, gradient, Jacobian, and surface area

Vector Calculus*• Computations, visualizations* and interactive problem

solving involving the calculus of functions from Rn to Rm

• Interactive tutors for exploring space curves and vector fields through plots and animations

• Supports 5 predefined coordinate systemsDictionary

• Over 5,000 definitions of mathematical and engineering terms and concepts incorporated into the Help system

• Includes over 300 figures to clearly explain the conceptsGraphing Calculator

• Traditional graphing calculator interface• Standalone or over a MapleNet™ installation

Maple T.A.™ Assessment Tools• Question authoring environment provides templates for

creating common question types, such as fill-in- the-blank, Maple-graded, and multiple-choice questions.

• Questions can include algorithmically generated content• Questions can contain plots, hints, feedback and

algorithmically-generated variables.• Assignments are used inside Maple, printed, or exported

to Maple T.A.Student Portal**

• A guide for hundreds of common tasks from mathematics courses

• Makes use of interactive assistants, context menus, palettes, and task templates

ProgrammingFlexible programming language, tools, and base routines.

• Advanced programming language*• Procedural and functional programming• Operator overloading• Exception handling• Debugging, profiling, security, and library management

tools*• User-level routines for multi-threaded programming on

multi-core computers*• Analysis of the code complexity of a Maple procedure

and module• Ability to create new worksheets, programs, packages,

modules, and help pages• Source code of most routines available for viewing• Assumptions on variables• Create and manipulate many kinds of objects, including

sets, strings, lists, arrays, and libraries*• Tools for manipulating mathematical objects, including

polynomials, integrals and sums*• Extend existing types• Generate and manipulate Maple worksheets through its

XML representation• Compiler package for dramatic speed-up of numerical

computations*

Custom InterfacesMaple lets you create custom user interfaces to access built-in and user-written routines.Interactive Embedded Components*

• Components include buttons, sliders, plots, check boxes, list boxes, toggle buttons, radio button**, dials**, gauges**, and mathematical expression boxes for entering and displaying 2-D math

• Add components to your document using the Components palette

• Easily programmable to accept input, display results and plots, and interact with other elements of the document*

Maplet Application• Create custom Java™-based graphical user interfaces

to access the Maple kernel and libraries, or user-written Maple functions

• Graphical elements include text areas, buttons, equation editors, slider bars, tool tips, plotting windows, and numerous built-in dialogs

• Can be created programmatically or through the point-and-click Maplet Builder

• Perform calculations and display graphs without seeing the Maple code

Context-Sensitive Menus• Design a context menu or edit an existing menu

VisualizationMaple includes a comprehensive set of visualization tools to make problem exploration easier.

• 2-D and 3-D graphs and animations*• Over 150 plot types and options, including implicit,

contour, complex, polar**, vector field, conformal, density, ODE, PDE, and statistical plots

• Engineering plots, including time and frequency domain responses and root-locus and root-contour plots**

• Light modeling, legends, axis control, titles, glossiness, gridlines, and transparency*

• Display typeset text and mathematical expressions in plot titles, labels, legends, tickmark labels, and axis labels

• International (non-English) characters in text• Plot annotations for 2-D plots include arrows, shapes,

and drawing tools*• Scale and pan 2-D and 3-D plots and animations• Real-time rotation of 3-D plots• Interactive control of parameters through slider controls• Wide variety of coordinate systems*

• Layering of graphics and animations of different types• Standard geometric objects, regular solids, and polyhedra,

including ellipses, hyperbolae, polygons, cones, spheres, torii, dodecahedra, icosahedra, and tetrahedra

• Over 40 visualization routines display concepts presented in calculus, precalculus, multivariate calculus, and linear algebra courses

• Plot builder assistant for creating and modifying plots and animations

User InterfaceMaple includes many features to automate tasks and interact with Maple without knowledge of Maple commands and syntax.

• Sophisticated 2-D Math editing• Self-documenting context menus*• Over 20 palettes for expressions, symbols, matrices,

operators, including a handwriting palette and favorites palette*

• Comprehensive word-processing for creating professional reports and presentations*

• Spell-checker containing standard math terms• Command completion*• Output automatically labeled for easy referencing• Tables*, symbolic spreadsheets, code regions**, embedded

components such as buttons, sliders and dials*• Over 40 interactive tutors display concepts presented in

precalculus, calculus, multivariate calculus, vector calculus, and linear algebra courses

• Over 250 task templates for fill-in-the-blank problem solving*

• Interactive assistants for many tasks including analyzing ODEs and ODE systems, creating plots and matrices, exploring parameters in expressions, converting units, and back-solving*

• Document blocks to write content with live calculations while hiding computation details

• Help Navigator for searching help pages, tasks, tutors, definitions, and manuals*

• Drawing canvas includes shapes, lines, arrows, text, outline and fill color control, and provides alignment tools, grid controls, and a favorites palette*

ConnectivityMaple adheres to international standards for data communication by enhancing tool interoperability and web connectivity.

• CAD connectivity** ° Retrieve parameters from a CAD drawing and send new values back to be automatically incorporated in the design.

° Includes the interactive CAD Link Assistant • Code Generation*

° Generate Visual Basic, MATLAB®, Java, C, and Fortran code

° Override or add to code translations specified in the existing definition or specify an entirely new language definition

• Link to MATLAB

° MATLAB to Maple code translator for commands and .m files*

° Call out to MATLAB to compute and retrieve the results of MATLAB expressions.

• Easy import and export of Microsoft® Excel® data files

° Programmatic and interactive use through the Data Import Assistant and Matrix Browser

° Supports partial file import• Link to Microsoft Excel 2000, Excel XP, Excel 2003 and

Excel 2007 on Windows*

° Access the Maple kernel from within Excel

° Function Wizard steps through the creation of a Maple function

• Database connectivity** ° Tools to query, update, and create databases from

within Maple• Mathematica® Notebook conversion and command

translation tools • Access Maple algorithms and data structures in compiled

C, Java, and Visual Basic programs using OpenMaple™• External calling to Java, C, and Fortran• MathML 2.0 presentation and content support• Import and export of XML documents• TCP/IP socket connectivity• Export worksheets to HTML, XML, MathML, LaTeX,

and RTF• Export plots to BMP, DXF, EPS, GIF, HPGL, JPEG, PCX,

POV, TEK, and WMF• Import, manipulate and export data from WAV, JPEG,

and TIFF files• Import data from ASCII, CSV, Matrix Market, MATLAB,

and more• Direct links to the Maple Application Center™, Teacher

Resource Center, Student Help Center, and more*

* Enhanced features in Maple 12**New features in Maple 12

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

© Maplesoft, a division of Waterloo Maple Inc., 2008. Maplesoft, Maple, MapleNet, Maple T.A., Maplet, OpenMaple, Clickable Calculus, Clickable Math, Clickable Alegbra, and Clickable Engineering are trademarks of Waterloo Maple Inc. All other trademarks are the property of their respective owners.

The Essential Tool for Mathematics and Modeling

Add-on Products and E-BooksFor a complete academic solution, Maplesoft offers a growing selection of add-on products and e-books that will enhance and extend the Maple experience. Here are just a few of the add-on products and e-books available.

Resources

The Teacher Resource CenterThe Teacher Resource Center is designed to ensure that educators get the most out of their Maple teaching experience. The site offers sample applications, course material, training, best practices, whitepapers, and podcasts created exclusively for teachers using Maple. Through the Teacher Resource Center, teachers can access MaplePrimes and take advantage of forums and blogs that connect Maple users to experts around the world.

The Student Help CenterAt the Student Help Center, students get the information they need to help them get up-to-speed and in full command of the power of Maple. The site offers access to the Maple Student Forum, where students get solutions and advice from industry experts; The Math Oracles, Maple’s ultimate online math problem solvers; student training videos; and the math homework resource guide.

3.0

Mathematics Survival KitThe

Maple™ Edition

Advanced EngineeringMathematics with Maple

™

Maple T.A. is an easy-to-use, web-based system for creating tests and assignments. The system supports complex, free-form entry of mathematical equations and its advanced authoring environment lets users create custom content quickly and easily. The Maple T.A. system does the marking automatically, and makes it simple to analyze the results. No other math software company offers this type of testing and assessment technology.

Maplesoft has partnered with the MAA to revolutionize placement testing! MAA placement tests are written by panels of college mathematics teachers and have been used by hundreds of institutions throughout the U.S. since 1977. The Maplesoft-MAA Placement Test Suite combines the MAA tests with an online placement testing solution that offers easy administration, instant results, and flexible scheduling for incoming students, all at a fraction of the cost normally associated with traditional placement methods.

The Mathematics Survival Kit is an interactive e-book designed to help students overcome many of the common difficulties encountered when studying mathematics. This e-book provides clear explanations and examples, illustrative plots and animations, and hundreds of randomly generated practice problems.

Advanced Engineering Mathematics with Maple is the definitive reference software and textbook for engineering mathematics. It is the only fully electronic book of its kind on this popular subject.

Two study guides are available: the Calculus Study Guide and the PreCalculus Study Guide. Each of these self-study tools will maximize students’ understanding of these topics.

The Maple Adoption ProgramThis program makes it quick and easy to introduce Maple into the classroom. All instructors participating in the program receive a free home-use copy of Maple 12, while students receive a significant discount on their purchase of the Maple 12 Student Edition.

Maplesoft provides a variety of academic resources for educators and students working with Maple:

Maple™ 12 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. Maple 12’s world-leading computation engine offers the breadth and depth to handle every type of mathematics, redefining math education and opening new horizons in technical research. 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.

w w w . m a p l e s o f t . c o m

The Essential Tool for Mathematics and Modeling

Maple’s unique blend of computational power and ease-of-use makes it an essential tool for mathematics and modeling. Its smart document environment provides revolutionary Clickable Calculus™ and Clickable Engineering™ techniques for solving problems from any technical discipline, ensuring that students are instantly productive and engaged. The results can be incorporated in rich, interactive, live documents that are as professional-looking as a textbook.

The Essential Tool for Mathematics and Modeling

The result of over 20 years of cutting-edge research and development, Maple’s math technology delivers the power and the precision you need, no matter what your technical discipline. Intelligent symbolic and numeric algorithms find solutions fast, eliminating mechanical errors, saving time, and increasing comprehension. An extensive range of visualization and animation tools lets you see your mathematics in countless ways, improving insight and creativity. Convenient publishing tools let you present interactive content to your students, colleagues, and even peers around the world.

• Thousands of mathematical functions covering the entire technical curriculum - from basic algebra and precalculus, to calculus and differential equations, through to applied and advanced courses

• Hundreds of 2-D and 3-D plotting routines including explicit, implicit, parametric, polar, vector field, contour, logarithmic, dual-axis, statistical, and more

• Professional publishing tools include document processing tools, web publishing, live web content using MapleNET™, the ability to export to Microsoft® Word, LaTeX, and MathML 2.0, and a PowerPoint®-like slide presentation mode

Maple is the mathematical tool of choice for research mathematics and technical computations. No other math package strikes a better balance between ease of use and power, making Maple the ideal tool for the classroom and beyond. Unlike graphing calculators, Maple will stay with students through their undergraduate programs, graduate school, and into their professional careers. Unlike programming-based numerical tools, Maple’s power flows in an intuitive, natural way. How you think about math is how you do your math in Maple 12.

• Industry leading algorithms for differential equations (ODE, PDE, DAE, etc.)

• High performance numerical computation

• Wide range of modeling and simulation tools for engineering, finance, physics, and more

• Exclusive tools for control systems design, linear algebra, integral and discrete transforms, statistics, graph theory, differential geometry, advanced physics, and more

• Multi-core, multi-threaded computation support

• Powerful high-level programming language

• Direct connectivity to CAD systems, MATLAB®, Excel®, C and Fortran programs, databases, and other tools

• Available add-on products provide additional functionality, including connectivity to Simulink®, even tighter integration with MATLAB, global optimization solvers, and grid computing

Maple 12: The Ideal Environment for All Your Mathematical Work

Plot customizations and annotations

Natural math notation

Single starting point for hundreds of common tasks from mathematics courses

Customizable palettes

Interactive embedded components

Self-documenting operations

Instantly create interactive mini-applications for exploration

Over 150 built-in plot types

Hundreds of interactive tutors, assistants, and task templates

Built-in dictionary, manuals, and examples

Millions Count on Maple

Beyond the Classroom

The Essential Tool forMathematics and Modeling

With Maple, Math Just Clicks!

Maplesoft™ has introduced one of the most exciting concepts in math software history: Clickable Math™. 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. The concept is simple: combine the legendary power of Maple software with a user environment that allows even novices to perform complex operations without knowing any commands or syntax. The result? You get all the rich benefits of Maple problem-solving, visualization, and document-processing with virtually no learning curve.

Clickable Calculus™, Clickable Algebra™, Clickable Engineering™… No matter what the subject, Maple 12’s point-and-click interface makes math easy to do, easy to learn, and easy to teach. The Maple 12 features that deliver the Clickable Math concept include:

• Smart, context-sensitive right-click menus for instant access to solvers and other command-free operations

• Extensive range of palettes for visual editing of math expressions

• Interactive plotting and animation controlled by the mouse and not by endless parameters and attributes in a command

• “Drag and drop” operations on plots, expressions, text, and more

• Interactive assistants that provide easy mechanisms to solve and explore advanced topics such as differential equation-solving, optimization, and advanced visualization

• A Maple Portal for Students, which acts as a guide for hundreds of common tasks from mathematics courses

• Built-in selection of interactive tutors that offer visual learning environments for many important math topics in precalculus, calculus, linear algebra, and more

• Handwriting recognition of math symbols and equations

• WYSIWYG document processing features that let you create complex math documents more quickly and easily than in a word processor or LaTeX

• An Exploration Assistant that allows you to instantly create interactive mini- applications to explore the parameters of expressions

“Once again, Maplesoft delivers an outstanding product. With Maple 12, a simple click of the mouse allows you to solve problems, demonstrate your work, create presentations, and produce live math documents. For me, it is a great teaching support and a wonderful tool for students who want to solve everything from simple to highly complex problems, and to explore the solutions in many ways. I highly recommend Maple 12!”

Mario Lemelin, Science Teacher

“Maple 12’s Clickable Engineering concept seems like the start of a new revolution in the instruction and use of mathematics in engineering disciplines, second only to the web revolution. You can take tremendous advantage of the powerful computation engine and plotting capabilities using Maple’s point-and-click tools.”Dr. Michael KommaIsolde Kurz Gymnasium Reutlingen, Germany