Calculus

iOS App
  • A Little Calculus – Most of the topics seen below, combined with many others, in one convenient app for the iPad, iPhone, and iPod Touch.

Since Java applets are no longer supported in most web browsers, I’ve recently started making my old Java applets available as Java ARchive downloads, which can be run as standalone applications. For more information, see How to Run a Java ARchive. If there’s an applet you’d like to use that’s not currently available for download as a Java ARchive, please let me know, and I’d be happy to convert it for you and post a link below.

The following is a list of Calculus applets included in the above link.

Limits
  • The Area of a Circle
  • The Circumference of a Circle
  • The Limit of a Sequence
  • The Limit of a Function
  • The Limit of a Sequence of Functions
Differential Calculus
  • Secant Lines and the Slope of a Curve
  • Graphing the Derivative of a Function
  • The Derivative of a Function
  • The Chain Rule
  • The Mean Value Theorem
  • Cauchy’s Mean Value Theorem
  • Tangent Line Approximations and Differentials
  • L’Hospital’s Rule
  • Newton’s Method
  • Antiderivatives and Slope Fields
  • Tangent Circles and the Curvature of a Function
Integral Calculus
  • Riemann Sums and the Area Under a Curve
  • The Riemann Integral
  • The Integral of a Function
  • Methods of Integration: Substitution
  • Area Between Curves
  • Solids Generated by Rotation:
    • Disk Method
    • Washer Method
    • Shell Method
  • The Length of a Curve
Parametric Equations
  • Investigate Parametric Curves
  • Area Bounded by a Parametric Curve
  • The Length of a Parametric Curve
  • Projectile Motion
  • Investigate Polar Curves
  • Area Bounded by a Polar Curve
  • The Length of a Polar Curve
Sequences and Series
  • Investigate Sequences and Series
  • Taylor Polynomials
Multivariable Calculus
  • Investigate Space Curves
  • Surfaces (Under Construction)
  • Least Squares
  • Double Integrals
  • Line Integrals
Differential Equations
  • Euler’s Method
  • Slope Fields

© 2004 David P. Little
Unless otherwise stated, the above applets were written by David Little. They may be used without permission from the author for home and/or educational (non-profit) purposes only. Any other use must be approved by the author.