** 29.T Infinite
series II ** <-(READ ME)
(PDF
version)

** Reference: ** Stewart 10.5, 10.6, 10.7

** Keywords: ** Alternating series, alternating series test,
absolute convergence, conditional convergence,
ratio test, root test

** Learning Objectives: ** The student will be able to:

- Apply the alternating series test for convergence
- Estimate the error of a partial sum of an alternating series
- Explain what it means to say that a series is "absolutely convergent" or "conditionally convergent"
- Use the ratio and root tests to tell if a series is absolutely convergent
- Choose an effective way to test a series for convergence from the variety of tests learned

** 29.R Power series **

** Reference:** Stewart 10.8, 10.9, 10.10, 10.12

** Keywords: ** Power series, radius of convergence,
interval of convergence, Taylor series, Maclaurin series

** Learning Objectives:** The student will be able to:

- Find the radius of convergence and interval of convergence of a given power series
- Compute the Taylor series and the Maclaurin series for a given function
- Use power-series methods to approximate definite integrals