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Maple Resource Center

Welcome to the Empire State College Maple Resource Center. The purpose of this guide is to help you learn how to use Maple for your course work. The Maplesoft website and the Maple Portal installed with your Maple software on your computer contain much

PreCalculus

Precalculus is all about understanding functions, and as such, requires a fair amount of graphing. This page will focus on the needs of students in a Precalculus course, getting started with installation, learning to use Maple, and will have examples of commands and graphing techniques. All the pages are found by hovering over the tabs above to see the drop-down menus or from the list in the column to the right

Module 00:  The first thing you need to do is to install the software from the DVD, so go to the How To Install Maple page. After the software is installed and activated, you need to check out some of the tutorials. I recommend the Getting-Started page, which links you to Maplesoft’s video training, Quick Reference cards, and more.

Module 01:  You will need to use functions, so it’s important to be able to create one, evaluate, and plot. Here is a little information on how to Enter a Function. You will also need to be able to Plot a Function. Additional examples can be found in the Plotting Examples page (part of the Tutorial Collection). Another skill is using the expressions palette and / or finding the Maple command. There are examples in the Expressions Palette page. Specifically, you need the square-root function and the absolute value function. Both of these are found in the expressions palette, or one can use Maple function commands sqrt(x) and abs(x).

Module 02:  It is important to keep in mind that with higher order polynomials, you may need to rescale the vertical axis in order to see important functional behavior. The default x-axis range is from -10 to 10, but the y-axis range is based on the the evaluation of the function across the range of x. Here is a link to an example of rescaling the axes.

Typing in rational functions is best done by typing the numerator, then selecting the numerator before entering the “/”, OR you can place parentheses around the numerator.

Module 04:  Working with trigonometric functions is similar to other special functions. It is important to use the parentheses for the angle. For example:  use sin(x), cos(3*x), tan(theta), csc(Pi/4), sec(a+b), cot(x+Pi/3). Since the standard period of these function is a multiple of Pi, Maple (version 16 and above) graphs the function with the horizontal axis subdivided based on fractions and multiples of Pi. It is important to use capital P, lowercase i (Pi), or to use the Greek letter for pi from the Common Symbols palette. Angles are in radians.

Inverse trigonometric functions:   commonly used are arcsin(x), arcos(x), arctan(x). These value of x is expected to be a real number and the function returns the angle in radians in the range of the function. It is up to the user to determine what quadrant the angle is actually in to determine the complete answer.

Module 05:  There are a number of new skills needed.

M05x:  Working with Polar Plots requires the use of the plot[polarplot]command (typing ?polarplot as a command in Maple will take you to the Help page).  Here are several simple examples:  

M05z:  Working with matrices generally falls under the topic of Linear Algebra. There is a tutorial on entering and using matrices and on common matrix operations. Link to Working with Matrices.

 

Please note: If you need to request accommodations with content linked to on this guide or with your Maplesoft Software, on the basis of a disability, please contact Disability Services by emailing them at Disability.Services@esc.edu.  Requests for accommodations should be submitted as early as possible to allow for sufficient planning. If you have questions, please visit the disability services website http://www.esc.edu/disabilityservices.

Plot a Function

The standard scale for a Maple plot is x (horizontal axis) ranging from -10 to 10 and the vertical axis is based on the values of the function when x ranges from -10 to 10. The view option allows you to scale the axes in order to see details of interest.

Rescaling the Axes

Instructions: Plot curve and line together on 1 plot. Enter the 2 equations separated by comma, then select and right-click to get context menu, then choose plots. Next Step: Follow the path Plot  Axes  Properties, then adjust both Horizontal, and Vertical axes. Lastly: Final Plot in the following example has x range from -2 to 2 and y range from -10 to 10.

Polar1 Example

Image of Polar 1 Example for Polar Plots

Circle Example

Image of Circle in a Polar Plot

AngleLine Example

Image of Angle Line in Polar Plot