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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.
Maple has many built-in tutors to aid the teaching and learning of various mathematical concepts. These tutors expose material typically found in first- and second-year courses in an undergraduate mathematics or engineering program, covering such subjects as linear algebra, precalculus, single-variable and multivariable calculus, vector calculus, differential equations, complex variables and numerical analysis. Here are some of the tutors available in Maple.
Graphically display the eigenvectors of a matrix
Find the eigenvalues of a matrix
Find the eigenvectors of matrix
Step by step reduction of a matrix to reduced row echelon form
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
Build matrices of variable sizes
Step by step calculation of the inverse of a matrix
Linear System Solving
Solve linear systems using Gaussian or Gauss-Jordan Elimination
Plot functions and their compositions
Graph quadratic relations and analyze the associated conic section
Explore slopes of secant lines
Intuitively determine limits
Plot the feasible region determined by linear inequalities
Plot a straight line and obtain its equation
Plot polynomial functions
Plot rational functions and obtain equations for their asymptotes
Translate and scale the elementary functions
Calculus in One Variable
Plot functions and their antiderivatives
Approximate Integration and Riemann Sums
Calculate an approximate integral of a function
Plot and calculate arc/curve lengths
Provide a complete graphical analysis of a function
Plot functions and their derivatives
Find the derivative of a function using various differential rules
Plot a function and calculate its average value
Find and plot the inverse of a function
Find the integral of a function using various integration rules
Resolve limits using various limit laws
Mean Value Theorem
Graphically illustrate the Mean Value Theorem on a function
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
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 a multivariate integral using Riemann sums
Plot the resulting shape when a plane intersects a surface
Calculate and plot the directional derivative of a multivariate function
Calculate and plot gradients of a multivariate function
Plot the Taylor approximation of a bivariate function
Plot curves in three-dimensional space
Graphically illustrate the flow of a vector field
Generate phase portraits for various autonomous systems of ODEs
Explore branch cuts for the inverse trig and hyperbolic functions
Visualize complex arithmetic
Compute the harmonic conjugate of a harmonic function
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
Compute an iterative formula to numerically approximate the solution to a linear system
Factor a matrix using various methods, including LU and Cholesky decomposition
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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.
To explore the Task Templates, go to Tools → Tasks → Browse... Select the task you want to use from the Table of Contents.
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.
Replace the placeholders, denoted by purple text, with your values. Press [Tab] to move to the next placeholder. Re-execute the commands to perform your calculation.
2⋅x⋅siny+cosx I−y x I3+y I2
The Clickable Calculus Study Guides for Precalculus, Calculus, and Multivariate Calculus are available directly in Maple.
Maple study guides are interactive Maple e-books 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
Covers 11 key topics
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.
Calculus Study Guide
Comprehensive coverage of both differential and integral calculus
Supplements your textbook with explanations, plots, and animations
Use Maple to work through example problems.
Plot and animations enhance lessons.
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.
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
The Student packages contain tutors, visualization aides, and problem solving commands.
See the help pages for more details.
Note for non-Windows 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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