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Student Resources

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Refer to Help>Quick Reference for basic getting started tips.

Tutors

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 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 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

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

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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.

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

 • 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

 • 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

 • 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.

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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 $\mathbit{A}\mathbf{.}\mathbit{x}\mathbf{=}\mathbit{b}$ 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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