Series Part 2 - Testing for Convergence

Here is another bit of Ch 8 which introduces the idea of convergence and divergence for functions. Three nights of homework on this and then on to the rest of Ch 9 - Convergence of Series.

3/19  Horizontally Infinite Improper Integrals
3/20  Vertically Infinite Improper Integrals

Homework: By the end of the 2 days, you should have done p.467-469/1 - 44, 55, and 59-61.

The last unit is on Convergence Tests.  There are several - all with their own plusses and minuses.  The challenge is to choose the correct test in each situation.

3/23  Recap of Infinite Sequences and Series, n^th term, Integral Test

         HW p.511/29, 30, 34, 38  and  p.523/1-5, 7, 8, 10-14,17, 19, 21

3/24  Limit and Direct Comparison Test

         HW p.511-512/3, 4, 49, 51, 53  and  p.523-524/9, 15, 16, 22, 59  

               also try some of the previous problems using these tests

3/26  Ratio Test and the Radius of Convergence         

         HW p.511/9-27 by 3's, 31-47 odd

3/27  Alternating Series, Liebniz Error Bound  (End of Term 3)
         HW p.523-524/27-32, 55, 56, 58, 63-65

3/30  Absolute and Conditional Convergence

         HW p.523-524/23-26, 35-47 odd, 54, 61, 66-71

3/31  Fourier Series, Gamma Functions, Review and many AP Problems

         HW p.526-529/1-16, 41-51 odd (evens are optional but helpful)

4/02  Test of Series Convergence (9b) - NO CALCULATORS

Important Dates

3/24  MCAS Day 1 (G H A)

3/25  MCAS Day 2 (E F C D)

3/26  MCAS Day 3 (C B G H A)

3/27  End of Term 3

4/03  1st night of Passover

4/03  Good Friday - no school

4/18-4/26 April Vacation

5/05  AP Calculus BC Exam