Calculus Applets
Calculus Applets 

Introduction to Calculus Applets
These pages present interactive Java applets for teaching and learning single variable calculus. They use graphs and tables to illustrate concepts in calculus and allow the user to dynamically change the functions involved or the point on the graph that is of interest. These pages can be explored by students learning calculus, or used by teachers while teaching calculus, and are geared to the topics covered in AB and BC Advanced Placement Calculus. Each applet comes in a version shown on a web page, suitable for viewing in a browser window, and also as a separate resizeable window with larger fonts and line widths, suitable for projection on a screen. Note that this set of pages is not a complete text for calculus, but is intended to supplement a standard textbook or web site. I have used Calculus by HughesHallett, Gleason, McCallum, et al. in my teaching, and I also like Master the AP Calculus AB & BC Tests by Michael Kelley.
See Compatibility, Downloading, and Modifying for more information on computer/OS/browser compatibility, downloading the entire web site, and modifying the web pages. Send comments, questions, and feedback to .
 Using the Graphing Tools
 Continuity and Limits
 Introduction to the Derivative
 Differentiation Short Cuts
 Constant, Line, and Power Functions
 Exponential Functions
 Trigonometric Functions
 Constant Multiple
 Combinations: Sum, and Difference
 Combinations of Functions: Product and Quotient
 Composition of Functions (the Chain Rule)
 Transformations of Functions
 Inverses of Functions
 Hyperbolic Functions
 Linear Approximation
 Mean Value Theorem
 Applications of Differentiation
 Introduction to the Definite Integral
 Constructing Antiderivatives
 Integration Techniques
 Applications of Integration
 Differential Equations
 Sequences and Series
 Sequences
 Series
 Integral Test
 Comparison Test
 Limit Comparison Test
 Ratio Test
 Alternating Series and Absolute Convergence
 Power Series & Interval of Convergence
 Taylor Series & Polynomials
 Lagrange Remainder
This work by Thomas S. Downey is licensed under a Creative Commons Attribution 3.0 License.
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