Student Resources
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Learn more about resources for students. Topics covered include Tutors, Task Templates, Study Guides, and the Student package.
Refer to Help>Quick Reference for basic getting started tips.

Tutors


Maple has many builtin tutors to aid the teaching and learning of various mathematical concepts. These tutors expose material typically found in first and secondyear courses in an undergraduate mathematics or engineering program, covering such subjects as linear algebra, precalculus, singlevariable and multivariable calculus, vector calculus, differential equations, complex variables and numerical analysis. Here are some of the tutors available in Maple.

Linear Algebra


Eigenvector Plot

Graphically display the eigenvectors of a matrix


Eigenvalues

Find the eigenvalues of a matrix


Eigenvectors

Find the eigenvectors of matrix


GaussJordan Elimination

Step by step reduction of a matrix to reduced row echelon form


Gaussian Elimination

Step by step reduction of a matrix to row echelon form


Linear system plot

Visually display a linear system


Linear Transform Plot

Visually display a linear transformation


Matrix Builder

Build matrices of variable sizes


Matrix Inverse

Step by step calculation of the inverse of a matrix


Linear System Solving

Solve linear systems using Gaussian or GaussJordan Elimination






Precalculus


Function Composition

Plot functions and their compositions


Conic Sections

Graph quadratic relations and analyze the associated conic section


Slopes

Explore slopes of secant lines


Limits

Intuitively determine limits


Linear Inequalities

Plot the feasible region determined by linear inequalities


Lines

Plot a straight line and obtain its equation


Polynomials

Plot polynomial functions


Rational Functions

Plot rational functions and obtain equations for their asymptotes


Standard Functions

Translate and scale the elementary functions






Calculus in One Variable


Antiderivatives

Plot functions and their antiderivatives


Approximate Integration and Riemann Sums

Calculate an approximate integral of a function


Arc Lengths

Plot and calculate arc/curve lengths


Curve Analysis

Provide a complete graphical analysis of a function


Derivatives

Plot functions and their derivatives


Differentiation Methods

Find the derivative of a function using various differential rules


Function Average

Plot a function and calculate its average value


Function Inverse

Find and plot the inverse of a function


Integration Methods

Find the integral of a function using various integration rules


Limit Methods

Resolve limits using various limit laws


Mean Value Theorem

Graphically illustrate the Mean Value Theorem on a function


Newton's Method

Find the root of a function using Newton's Method


Tangents and Secants

Visually explore tangents and secants


Surface of Revolution

Plot and calculate the Surface of Revolution of a function


Taylor Approximation

Find the Taylor Approximation of a curve to a specified order


Volume of Revolution

Plot and calculate the Volume of Revolution of a function






Calculus in Several Variables


Approximate Integration and Riemann Sums

Approximate a multivariate integral using Riemann sums


Cross sections

Plot the resulting shape when a plane intersects a surface


Directional Derivatives

Calculate and plot the directional derivative of a multivariate function


Gradient

Calculate and plot gradients of a multivariate function


Taylor Approximation

Plot the Taylor approximation of a bivariate function






Vector Calculus


Space Curves

Plot curves in threedimensional space


Vector Fields

Graphically illustrate the flow of a vector field






Differential Equations


DE Plots

Generate phase portraits for various autonomous systems of ODEs






Complex Variables


Branch Cuts

Explore branch cuts for the inverse trig and hyperbolic functions


Complex Arithmetic

Visualize complex arithmetic


Harmonic Conjugate

Compute the harmonic conjugate of a harmonic function






Numerical Analysis


Euler's Method

Numerically approximate a solution to an initial value problem using Euler's method


Initial Value Problem

Numerically approximate a solution to an initial value problem


Iterative Formula

Compute an iterative formula to numerically approximate the solution to a linear system


Matrix Decomposition

Factor a matrix using various methods, including LU and Cholesky decomposition





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Task Templates


A Task Template is a template that helps you perform a specific task, such as performing a mathematical computation, constructing a Maple object, or creating a mathematical document. For an overview of using tasks, see the using task templates help page. All Task Templates are located in the help system; alternatively, to explore all Task Templates available in Maple in a convenient browser, go to Tools → Tasks → Browse....
The example below illustrates the insertion of content from task templates into a blank worksheet in Document mode. Before you continue, it is recommended that you familiarize yourself with entering simple expressions in Maple.
Step

Description

Illustration

1

To explore the Task Templates, go to Tools → Tasks → Browse... Select the task you want to use from the Table of Contents.


2

Choose the amount of content to insert into your worksheet. Click Copy Task to Clipboard to copy the entire task contents; click Insert Default Content to insert content as set in the Options dialog; click Insert Minimal Content to insert only the commands.
Check Insert into New Worksheet to open a worksheet in a new tab for the task.


3

Replace the placeholders, denoted by purple text, with your values. Press [Tab] to move to the next placeholder. Reexecute the commands to perform your calculation.

>

$2\cdot x\cdot \mathrm{sin}\left(y\right)\+\mathrm{cos}\left(x\right)Iyx{I}^{3}plus;y{I}^{2}$

${2}{}{x}{}{\mathrm{sin}}{}\left({y}\right){\+}{\mathrm{I}}{}{\mathrm{cos}}{}\left({x}\right){\+}{\mathrm{I}}{}{y}{}{x}{}{y}$
 (1) 
>

$\mathrm{evalc}\left(\mathrm{\ℑ}\left(\right)\right)$

${\mathrm{cos}}{}\left({x}\right){\+}{y}{}{x}$
 (2) 





Study Guides


The Clickable Calculus Study Guides for Precalculus, Calculus, and Multivariate Calculus are available directly in Maple.
Maple study guides are interactive Maple ebooks in core math subjects. Each study guide covers fundamental concepts through visualization, practice problems, and theory. Learn from hundreds of worked problems, and then apply these same Clickable Math tools to check your own homework and get extra practice.
Explore these guides:
Precalculus Study Guide
•

Provides a focused review of precalculus

•

Each problem is solved four ways: a mathematical solution (that is, solve as you'd see in a textbook), using an interactive Maplet, using clickable techniques, and using Maple commands.${}$




Mathematical solution

Maplet solution

Interactive solution



Calculus Study Guide
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Comprehensive coverage of both differential and integral calculus

•

Supplements your textbook with explanations, plots, and animations

•

Use Maple to work through example problems.

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Plot and animations enhance lessons.

Stepbystep solutions



Multivariate Calculus Study Guide
•

Visits all topics from a standard multivariate calculus course

•

Focus on understanding new ideas and gaining a deep understanding

•

Problems worked in various methods, including a mathematical solution, an interactive Maple solution, and a coded Maple solution



The same problem shown using interactive steps and using Maple commands.





Student Package


The Student package contains content related to specific mathematics courses.
These packages contain commands for computation, problem solving, and visualization as well as interactive tutors and example worksheets.
Use the approximate integration tutor

See an animation of Newton's method



See the steps in a differentiation problem

Solve $\mathit{A}\mathbf{\.}\mathit{x}\mathbf{\=}\mathit{b}$



The Student packages contain tutors, visualization aides, and problem solving commands.



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See the help pages for more details.

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 Shortcut Keys.
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