How do I...
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Maple's Tutorials are designed to help you get started with Maple, learn about the key tools available in Maple, and lead you through a series of problems.
The How do I... topics cover essentials for doing mathematics in Maple. Learn more about Maple's tools and features, such as palettes and contextsensitive menus. Stepbystep examples are included to enhance your understanding.
Refer to Help > Quick Reference for basic getting started tips.
Note for nonWindows users: The keystrokes given in this document are for Windows. There will be differences for other platforms. If you are using a different platform, see Help > Quick Help for the list of the most common keystrokes.

Tools and Features


This section details the pointandclick tools and core features available in Maple to help you accomplish tasks quickly and easily. These features include palettes, context sensitive menus, and assistants.

Palettes


Maple has over thirty palettes containing an extensive collection of symbols, templates, and other features. These palettes are located beside the Maple workspace.
A template is an editable expression containing placeholders that can be easily overwritten. Use the Tab key to move to and highlight the next placeholder in a template, and Shift + Tab to move back to the previous placeholder. The How do I... section contains many examples where a template from a palette is used.
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The Expression palette contains many common mathematical expressions—such as exponents, subscripts, $n$th roots, elementary functions, operators, and piecewise functions—as easily editable templates. See the How do I... subsection on entering a simple expression for an example of its use.

The Calculus palette , similar to the Expression palette, contains buttons for constructing expressions—such as integrals, derivatives, dot derivatives, etc. See the How do I... subsection on entering a simple expression for an example of its use.
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The Matrix palette is a tool used to insert a matrix template of a specified size, type, shape, and data type for entering a matrix quickly. See the How do I... subsection on entering a matrix for an example of its use.

By default, not all palettes are shown; to show a hidden palette, navigate to View → Palettes → Show Palette, and select a palette. Alternatively, navigate to View → Palettes → Arrange Palettes... to show, hide, and rearrange palettes interactively. Note that as more palettes are enabled, you may want to display some palettes to the right of the Maple workspace.
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ContextSensitive Menus


One of the most useful features in Maple is the ContextSensitive Menu, or Context Menu. Together with inline evaluation, the use of Context Menus is one of the fastest ways to perform a string of successive computations.
To access the Context Menu menu for a specific Maple object, rightclick the object. The Menu will contain common operations associated with the object; for example, the Context Menu for a matrix will include the inverse operation, and for an expression, the Menu will contain the simplify operation.
Before you proceed with the example below, be sure to familiarize yourself with entering simple mathematical expressions (see the How do I... subsection on entering a simple expression). Open a new worksheet in Document mode, and ensure that you are in Math mode.

Example: simplify and factor


Follow the steps below to simplify and factor the expression $\mathrm{sin}{\left(x\right)}^{2}\cdot {x}^{2}\+\mathrm{cos}{\left(x\right)}^{2}\cdot {x}^{2}plus;2xplus;1$.
Step

Description

Illustration

1

Rightclick any part of the expression (within the dotted outline) and a Context Menu is displayed. Select Collect → Name → x.


2

Rightclick on the resulting expression and select Simplify>Simplify.


3

Rightclick on the resulting expression and select Factor.


Note

If you were working with an equation, some of these functionalities would not be available. Equations cannot be simplified or explicitly differentiated and must therefore first be converted into an expression. To do this, rightclick the equation and select Righthand side.





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Command Completion


Command and symbol completion is a feature that automatically suggests a command to use as you enter a phrase in Maple. To access the command completion menu, press Esc after typing the phrase. A popup list displays commands that begin with the phrase typed. Maple lists symbols, commands, functions, and package names that match the entered text. To insert an item from this list, select it with the mouse or navigate to it by using the arrow keys and press Enter.
For example, to get the Greek letter $\mathrm{\ρ}$ (rho), type rho and press Esc. Select $\mathrm{\ρ}\.$
This command completion list can include command completion templates. These provide the full syntax of common Maple commands including arguments, so that these commands can be easily entered. Simply choose the desired command completion template and replace the placeholders with the desired values.
For example, to get an integral, type int and press Esc. Select int(definite)$\.$
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Equation Labels


Equation Labels are automatically generated after executing a Maple command on a new line. The result returned is labeled so that you can refer to it later in the document. As an example, compute the reduced row echelon form of a matrix using equation labels. Maple's equation labels are automatically renumbered in sequential order if any labeled result is deleted or moved.
Before you proceed with the example below, be sure to familiarize yourself with entering simple mathematical expressions (see the How do I... subsection on entering a simple expression). Open a new worksheet in Document mode, and ensure that you are in Math mode.

Computing the reduced row echelon form of a matrix


Follow the steps below to find the reduced row echelon form of the threebyfour matrix $\left[\begin{array}{cccc}1& 2& 3& 6\\ 4& 5& 6& 15\\ 7& 8& 9& 24\end{array}\right]$.
Step

Description

Illustration

1

Follow the instructions in either of the two examples given in the How do I subsection on entering matrices. Press Enter, and the resulting Matrix is labeled.


2

Type $\mathrm{LinearAlgebra}\[\mathrm{ReducedRowEchelonForm}\]$.


3

Now pass the Matrix as an argument to this procedure by typing a left parenthesis [(], followed by the equation label. To enter the equation label, either press Ctrl + L or select Insert → Label.... Type the label value into the dialogue box; in this case, since it is the first labeled result, the label value is $1$. Click OK. Now type a right parenthesis [ ) ].


4

Press Enter. The reduced row echelon form of this Matrix is displayed and labeled.





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Assistants


Maple has many interactive assistants that provide graphical user interfaces to various Maple packages and functionalities. Here are some of the assistants available in Maple.
BackSolver

Solve for an unknown parameter in an equation whose other parameters are known


Curve Fitting

Compute regressions and fit curves on a collection of data


Data Analysis

Display textual and graphical information about data sets, traverse data sets, and generate new data sets via standard operations on existing ones


Equation Manipulator

Perform a series of operations on an equation


Import Data

Import data from an external file into Maple as an rtable


Installer Builder

Build installers for your own toolboxes, or return a Build command which you can store and execute later


Library Browser

Manipulate the libraries in a specified directory


ODE Analyzer

Investigate and solve ordinary differential equations and ordinary differential equation systems


Optimization

Graphically minimize or maximize an objective function under given constraints


Plot Builder

Build a Maple plot interactively


Scientific Constants

Browse an extensive collection of physical constants and properties of chemical elements


Special Functions

View properties of over 200 special mathematical functions


Units Calculator

Convert between over 500 units of measurement




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Maple Help


Maple's help system provides extensive help on topics and commands in Maple. Access the help system from the Help > Maple Help menu item. To find help on a particular topic, you can enter ?Topic in Math mode and then press Enter.
$\?\mathrm{Statistics}$
This will open the help page on the Statistics package.
You can also put your cursor in a word and press F2 to get help on that word.


Plotting Guide


The Plotting Guide provides a visual guide to Maple's plots and a summary of plotting features.


Applications


The sample application worksheets provide demonstrations of solutions to specific problems.
To see a list of applications, from the help table of contents, choose Manuals, Resources, and more > Applications and Examples.


Example Worksheets


Maple provides a number of example worksheets to supplement the examples in the help pages. Example worksheets demonstrate the syntax of popular commands and packages, such as solve, Calculus, and Linear Algebra, as well as more sophisticated topics such as lexical scoping. You can execute all the commands in the example worksheets.
To view a list of example and application worksheets, see the examples index.


Manuals


Access the Maple User Manual and Maple Programming Guide within Maple.
1.

From the help table of contents, select Manuals, Resources, and more.

2.

Select Manuals and then the desired manual.

The manual opens with the Table of Contents displayed.

Other Resources
Maple's Application Center offers over 1,500 Maple applications, Maplet applications, tutorials, Maple PowerTools, MapleSim models, and Maple packages for free download.
Maple Primes is a web community dedicated to sharing experiences, techniques, and opinions about Maple and related products, as well as general interest topics in math and computing.
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