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
Task Templates
Study Guides
Student Package
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.
Linear Algebra
Eigenvector Plot
Graphically display the eigenvectors of a matrix
Eigenvalues
Find the eigenvalues of a matrix
Eigenvectors
Find the eigenvectors of matrix
Gauss-Jordan 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 Gauss-Jordan 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 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
Plot the Taylor approximation of a bivariate function
Vector Calculus
Space Curves
Plot curves in three-dimensional 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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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. Re-execute the commands to perform your calculation.
2⋅x⋅siny+cosx I−y x I3+y I2
2xsiny+Icosx+Iyx−y
evalcℑ
cosx+yx
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.
Mathematical solution
Maplet solution
Interactive solution
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.
Step-by-step 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.
The Student package contains content related to specific mathematics courses.
Basics
Calculus 1
Multivariate Calculus
ODEs
Statistics
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 A.x=b
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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