Tests for Convergence

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.  (Homework listed in red are problems from the old edition of the book.)

3/26  n^th term, Direct Comparison, Absolute Convergence  (2nd night of Passover)
         HW p.508/Exploration1 and  p.511-512/1-5, 9-27 by 3's, 29, 33, 39, 41, 45, 46, 61, 62
3/28  Ratio Test, Integral Test, Limit Comparison 
         HW p.511-512/10, 14, 20-44 even, 49-53odd, 64 and  p.523/1-6

3/29  Good Friday - no school

4/01  Alternating Series, Liebniz Error Bound
         HW p.523-524/7-21 odd, 54, 55, 57-60, 63-65
4/02  Absolute and Conditional Convergence (End of Term 3)
         HW p.523-524/25-32, 35-47 odd, 61
4/04  Review plus 2 AP Problems
         HW p.526-529/1-16, 41-51 odd (evens are optional but helpful)
4/05  5 more AP problems

4/08  Test of Series Convergence (9b)

Improper Integrals

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.

3/18  Post-test, Horizontally Infinite Improper Integrals (read pp.459-462)

3/19  SNOW DAY3/21  Vertically Infinite Improper Integrals and the Direct Comparison Test
3/25  Limit Comparison Test


Homework: By the end of the 3 days, you should have done problems 1 - 44, 55, and 59-61.

Important Dates

3/21  MCAS Day 1 (Hr G H A)

3/22  MCAS Day 2 (D E F B C)

3/25  MCAS Day 3 and 1st night of Passover

3/26  2nd night of Passover

3/28  End of Term 3

3/29  Good Friday - no school