Tuesday, March 26, 2013

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  nth 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)