Welcome to Maplets for Calculus

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Pre-Calculus

• Basic 7 Functions
  View the graphs of 7 basic functions.
• Shifting Functions
  Learn to shift the graph of a function left or right and up or down.

Calculus - Limits

• Left and Right Limits and Continuity, using a Graph
  Learn to identify left and right limits, continuity from the left and right and their relation to 2-sided limits and continuity from the graph of the function.
• Left and Right Limits and Continuity, using Numeric Data
  Learn to identify left and right limits, continuity from the left and right and their relation to 2-sided limits and continuity from the numerical values of the function.
• Left and Right Limits and Continuity, using a Formula
  Learn to identify left and right limits, continuity from the left and right and their relation to 2-sided limits and continuity from the formula for the function.

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• The Epsilon-Delta Definition of Continuity
  Visualize the precise definition of continuity by finding the delta for a given epsilon.

Calculus - Derivatives

• From Secant Slopes to Tangent Slope, using a Graph and Numeric Data
  Calculate the slopes of secant lines and use them to find the slope of the tangent line.
• From Secant Slopes to Tangent Slope, using a Formula
  Use the slopes of secant lines to find the slope of the tangent line, algebraically. Try some numeric points and then some symbolic points.
• Computing Tangent Lines
  Find the equation of the line tangent to the graph of a function. Try some numeric points and then some symbolic points.
• Derivative Drill
  Practice computing derivatives.
• Implicit Differentiation
  Find the derivative of an implicitly defined function.
• Related Rates
  When two variables are related by an equation their derivatives are also related.
• Derivatives of Inverse Functions
  Find the derivative of the inverse of a given function at some numeric points and then some symbolic points.

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• Properties of the Graph of a Function - Terminology
  Learn the terminology to describe the properties of the graph of a function.
• Properties of the Graph of a Function
  Learn to identify the properties of a function, its derivative and its second derivative from the graph of the function.
• Properties of the Graph of the Derivative
  Learn to identify the properties of a function, its derivative and its second derivative from the graph of the derivative.
• Properties of the Graph of the Second Derivative
  Learn to identify the properties of a function, its derivative and its second derivative from the graph of the second derivative.

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• Anti-Derivative Drill
  Practice finding anti-derivatives.

Calculus - Integrals

• Integration by Substitution
  Practice computing integrals by the method of substitution.
• Integration by Parts
  Practice computing integrals by integration by parts.
• Trig Substitutions
  Practice computing integrals by making trig substitutions.
• Partial Fractions: General Decomposition
  Practice finding general partial fraction decompositions.
• Partial Fractions: Finding Coefficients
  Practice finding the coefficients in a partial fraction decomposition.

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• Indefinite Integral Drill
  Practice computing indefinite integrals.
• Definite Integral Drill
  Practice computing definite integrals.

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• Area of a Region
  Visualize the slicing of a region and compute its area.
• Volumes by Slicing
  Visualize the slicing of a solid and compute its volume.
• Volumes of Revolution
  Visualize a solid of revolution and compute its volume using disks, washers or cylinders.
• Average Value of a Function
  Find the average value of a function approximately and exactly.
• Arc Length
  Visualize and compute the arc length of a curve.
• Surface Area
  Visualize and compute the surface area of a surface.
• Work: Spring
  Compute the force and work required to stretch a spring.
• Work: Gravity
  Compute the force and work due to gravity.

Calculus - Differential Equations

• Separable Differential Equations
  Practice solving separable differential equations.
• Linear Differential Equations
  Practice solving linear differential equations.

Calculus - Sequences and Series

• Sequence Drill
  Determining the convergence and limit of a sequence of numbers.
• Geometric Series
  Practice computing geometric series.
• Series Convergence Test Drill
  Identify and apply convergence and divergence tests for series.

Calculus - Curvilinear Coordinates

• Basic 14 Polar Curves
  View the graphs of 14 basic polar curves.
• Polar Curve Identification
  Identify the graphs of polar curves.