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Mac® version

 

Document Mode vs. Worksheet Mode

Maple offers two primary modes of problem entry and content creation: Document mode and Worksheet mode. Both modes have respective advantages and you can easily switch from one mode to the other for maximum flexibility.  See worksheet for more information on the worksheet interface.

 

Document Mode

 

• 

Quick problem-solving and free-form, rich content composition

• 

No prompt (>) displayed

• 

Math is entered and displayed in 2-D

• 

Solve math problems with context-sensitive options on input and output

 

 

Worksheet Mode

 

• 

Traditional Maple problem-solving environment

• 

Enter problems at a prompt (>)

• 

Math entered and displayed in 2-D or 1-D

• 

Solve math problems with context-sensitive options on output

 

 

 

Document mode lets you create rich content. For example, the following solves for x without any commands:   x2α=1solutions for xα+2

 

 

The command to perform the same operation in Worksheet mode is in 2-D (Math) Input:

solvex2α=1,x

α+2

(1)

or in 1-D (Maple) Input:

solve((x-2)/alpha=1,x);

α+2

(2)

 

 

Toggle Math/Text entry mode

[F5] 

or on context bar

 

 

 

Toggle 2-D/1-D Math entry mode

[F5] 2-D black font, 1-D red font

 

 

Evaluate math expression and display result inline

[Command][=]

 

 

 

 

 

Evaluate math expression and display result on new line

[Return]

 

 

Evaluate math expression and display result on new line

[Return]

 

 

Continue on next line without executing

[Shift][Return]

 

 

Toggle executable / nonexecutable math

[Shift][F5]

 

 

Hide commands. Show only results.

Highlight commands to be hidden. Edit → Document Blocks → Create Document Block

 

 

Switch to Worksheet mode (insert prompt)

 

   on toolbar

 

 

 

 

 

 

Show hidden commands

Edit → Document Blocks → Show Command

 

 

 

 

 

Common Operations Available in Both Document and Worksheet Modes

Refer to previous result using equation numbers

[Command][L] then enter equation number in dialog

Recompute calculations within a line

 on toolbar

Recompute all calculations in a document

 on toolbar

Symbol selection, e.g. ε (epsilon)

Enter leading characters [Esc] (or [Command][Shift][Space]), e.g. eps[Esc]

Command completion, e.g. Lambert W function

Enter leading characters [Esc] (or [Command][Shift][Space]), e.g. Lamb[Esc]

Perform context operation on math expression

Use the Context Panel

Insert prompt

 on toolbar

Insert text paragraph

 on toolbar

Insert white space above cursor

[Home][Enter]

Drag a copy of an expression to a new location

Highlight the expression, hold [Command], and drag to new location

2-D Math Editing Operations, Keyboard Shortcuts, and Operations (Details)

Navigate through expression

[][][][]

Move cursor to different level in expression, e.g. out of exponent

[]

Navigate through placeholders

[Tab]

Add, remove, rearrange palettes

View → Palettes or [Control]-click palette

Fraction xy , superscript  xn, subscript xn

x/y,  x^n,  x_ _n

Prime notation for derivatives, e.g.  y''+y'=0  for  d2ydx2+dydx=0 (Details)

y’’ + y’ = 0

Square root  x,  nth root xn 

Enter leading characters sqrt[Esc], nthroot[Esc]

Symbol above, e.g. x

x [Command][Shift]["] then insert symbol, e.g.  from Arrows palette

To enter literal characters (^, /, etc.), precede character with \ (backslash)

e.g. foo\^bar produces foo^bar

Greek letter entry mode (single letter)

[Command][Shift][G] letter

Special characters and symbols: Enter leading characters and [Esc]

 

π, ⅇ,

pi, e, i

infin

α, λ

alpha, lambda

, , , ±

geq, leq, ne, pm

Plotting and Animation (Plotting Guide)

Plot an existing expression

From the Context Panel, select Plot Builder

Plot new expression

Tools → Assistants → Plot Builder

Add new expression to an existing plot

Highlight and drag expression into plot

Add annotations to plots

Click the plot and select  on toolbar  

Animation and parameter plots for functions of several variables

From the Context Panel, select Plot Builder and select the animation toggle

Mathematical Operations

Common manipulations (simplify, factor, expand,…)

Use the Context Panel

Solve equations

From the Context Panel for the equation → Solve

Solve numerically (floating-point)

From the Context Panel for the equation → Solve → Numerically Solve

Solve ODE

From the Context Panel for the DE expression → Solve DE Interactively

Integrate, differentiate

From the Context Panel for the expression → select Integrate or Differentiate

Evaluate expression at a point

From the Context Panel for the expression → Evaluate at a Point

Create a matrix or vector

Matrix palette → Choose → Insert

Invert, transpose, solve matrix

From the Context Panel for the matrix → Standard Operations → select Inverse, Transpose, ...

Evaluate as floating-point

From the Context Panel for the expression → Approximate

Various operations and tasks

Use Task Templates: Tools → Tasks → Browse

Important Maple Syntax (More)

:= Assignment

a := 2;  b := 3 + x;  c := a + b; produces 5+x for c

= Mathematical equation

solve(2*x + a = 1,x);  produces  x=1a2

= Boolean equality

if a = 0  then …

Suppress display of output

Terminate command with a colon, e.g.

1000! :

[ ] List (ordered)

z:=[c, b, a]; z[1]; produces c

{ } Set (unordered, no duplicates)

{a, b, a, c}; produces {a, b, c}

Display help on topic

?topic

Expressions vs Functions

Operations

Expression  x2+y2

Function (operator)  gx,y=x2+y2     (details)

Definition

f := x^2 + y^2;

g := (x,y) ->  x^2+y^2;

Evaluate at x=1, y=2

eval(f, [x=1,y=2]); produces 5

g(1,2); produces 5

3-D plot for x from 0 to 1, y from 0 to 1

plot3d(f,x=0..1,y=0..1);

plot3d(g(x,y),x=0..1,y=0..1);

Conversion to other form

f2 := unapply(f,x,y);

f2(1,2);

produces 5

g2 := g(x,1);  

g2 + z;

produces  x2+1+z

Units and Tolerances

Add units to value or expression

Place cursor to right of quantity. Use the Units palette or from the Context Panel Units → Affix Unit.

Add arbitrary unit

Use  from Units (SI) or Units (FPS) palette and enter desired unit.

Simplify units in an expression

From the Context Panel for the expression → Units → Simplify

Convert units to a different system of units

From the Context Panel for the expression → Units → Convert

Enable automatic units simplification

with(Units[Simple]);

Enable tolerance calculations

with(Tolerances);

Tolerance quantity in 2-D Math

9 pm [Esc] 1.1 for 9 ± 1.1

Tolerance quantity in 1-D Math

9 &+- 1.1;  for 9 ± 1.1

Input and Output

Interactive data import assistant

Tools → Assistants → Import Data

Import audio or image file (see ImportData)

Tools → Assistants → Import Data

Keep data files and more with your worksheet (see workbook for details)

File → Save As → select Workbook for the file type.  Then Insert → Attach a File.

Code generation (C, C#®, Fortran, Java, JavaScript®, MATLAB®, Perl, Python®, R,Visual Basic®, and more)

From the Context Panel for the expression → Language Conversions. (see CodeGeneration for help and details)

Publish document in HTML, PDF, or LaTeX

File → Export As → select HTML, PDF, or LaTeX

Publish document in PDF

File → Print → select Save as PDF from the drop-down menu

Select Interactive Tools and Utilities

Show available task templates

Tools → Tasks → Browse

Plot Builder

From the Context Panel, select Plot Builder, or Tools → Assistants → Plot Builder

Unit Conversion utility

Tools → Assistants → Units Converter

Apply numeric formatting

From the Context Panel for the expression → Format Output

Share Maple documents using the MapleCloud™ Document Exchange

MapleCloud toolbar menu

Maple Portal

Launch the Maple Portal from the Start page or the Help menu

Manuals

In the help system, browse to Manuals.

Interactive education tutors for topics in Calculus, Precalculus, Linear Algebra, and more

Tools → Tutors