Objects

• understand assignment.
• understand equality.
• understand Maple's recursive definitions issue.
• understand suppression and unassignment.

 
• solve an equation.
• substitute values into an expression.
• use only the left or right hand side of an equation.

Functions

 
• create a function.
• understand the symbols used to represent functions.

Plots

 
• create "live" plots.
• understand multiple plots.
• create a multiple plot using a set object and the plot function.
• understand a parametric plot.
• create a parametric plot.
• see some beautiful parametric plots.
• plot a single expression or function using plot.
• place labels on the axes of a plot.
• give a plot a title.
• understand a Maple issue concerning function plots.
• deal with discontinuous points in a function's domain when plotting.
• place text and comments on your plots wherever you want them.

Limits, Differentiation and Integration

 
• differentiate a function.
• differentiate an expression.
• integrate an expression.
• avoid incorrect results when integrating with Maple.
• produce pretty displays for the limit, diff, and int functions.
• avoid using eval and evalf incorrectly.
• review limits with Maple.
• review derivatives with Maple.
• teach yourself calculus with Maple.

First-Order Linear Differential Equations

 
• recognize a differential equation.
• figure out the type of a differential equation.
• solve the simplest form of a differential equation.
• recognize a first-order homogeneous linear differential equation.
• solve the general homogeneous equation.
• solve a specific homogeneous equation.
• solve the general initial-value homogeneous equation.
• solve a specific initial-value homogeneous equation.
• recognize a first-order nonhomogeneous linear differential equation.
• solve the general nonhomogeneous equation.
• define the integrating factor for a nonhomogeneous equation.
• quickly solve nonhomogeneous equations.
• solve a specific nonhomogeneous equation.
• solve a specific initial-value nonhomogeneous equation.
• solve a differential equation with Maple.
• check a differential equation solution with Maple.
• solve a Newtonian problem involving air drag with Maple.
• understand terminal velocity in a system with air drag.
• view all Newtonian equations as differential equations.

Miscellaneous

 
• use Maple help.
• reference previous calculations.
• create and use a list object.
• place assumptions on variables.
• avoid using eval and evalf incorrectly.
• access all of Maple's capabilities.
• use inert functions.
• teach yourself calculus with Maple.
• define a sequence in Maple.
• solve a Newtonian problem involving air drag with Maple.
• understand terminal velocity in a system with air drag.
• view all Newtonian equations as differential equations.
• program a for loop in Maple's scripting language.
• program with Maple's scripting language.