Sequences

Tutorial on sequences.

• Using computer programs to plot the graph of a sequence. Also,
  • using the TI-85 graphing calculator to plot sequences.
    Discussion [Using Flash] [Using Java]
  • Using computer programs to generate a table of values of a sequence.

Series

Tutorial on introductory material on series.

• Interactive Javascript module on generating a table of values for geometric series.
• Interactive MathView notebook evaluating the partial sums of a geometric series.
• Drill problems on geometric series, n^th term test, and telescoping series.
• Using computer programs to generate a table of values of partial sums.
• Using computer programs to plot the graph of the sequence of partial sums.

Tutorial on the Integral Test.

• Error estimates using the Integral Test.
• Drill problems on using the integral test.

Tutorial on Comparison Test for testing convergence of series.

Tutorial on the Limit Comparison Test.

• Drill problems on using the limit comparison test.

Tutorial on alternating series.

• Drill problems on using the alternating series test.

Tutorial on the Ratio Test.

• Drill problems on using the ratio test.

Tutorial on absolute convergence.

Drill problems on determining which test to use for convergence of a series.

Power Series

Tutorial on Power Series.

Tutorial on differentiation and integration of power series.

Tutorial on Taylor polynomials.

• Using computer programs to plot the graphs of a function and of several of related Taylor Polynomials.