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Home > AP Courses and Exams > Course Home Pages > IV. Polynomial Approximations and Series

IV. Polynomial Approximations and Series

Infinite Series
This is part of a site maintained by Sandra Halfacre of White Station High School in Memphis, Tennessee. This particular page contains links to tutorials, slide shows, animations, and applets geared to help students understand the topic of infinite series. There are some links to wonderful sites involving series of constants as well as for power series, including applications.
  Infinite Series

Infinite Series Tutorial
This interactive tutorial does a good job demonstrating the convergence tests for series of constants.
  Infinite Series Tutorial

Power Series Applets
This Web page contains two power series applets that allow the user to visualize the contribution of individual powers. Each applet shows the dynamic graph of a polynomial function of degree 10. The first applet uses scroll bars to select the coefficients. The second applet allows the user to be more accurate.
  Power Series Applets

Calculus Animations with Mathcad
These Mathcad animations are intended to visualize the convergence or divergence of infinite series. Two graphs are included. One of them contains the terms of the series, represented by arrows. The other one illustrates the partial sums -- it uses the same arrows as the other graph, except that they are "stacked up."
  Calculus Animations with Mathcad

Taylor Series Tutorial
This tutorial contains five Web pages to help motivate the study of Taylor series. There are four detailed examples to demonstrate some uses.
  Taylor Series Tutorial







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