Monday, March 31, 2014

Review for the AP exam

Here is the complete review schedule.  Note that starting the week of April 7th, an AP problem quiz could be given on any day and will be given at least 1-2 times per week.

We will score the 2008 exam on Monday, 4/07.  I will collect the score sheets so make sure you do the test and bring your answers.

4/02  Multiple Choice portion of 2008 AP Exam (1A in class, 1B for HW)
4/04  Open Response portion of 2008 AP Exam (2A in class, 2B for HW)

4/07  Score the 2008 Exam, Overview of Topics to review
4/08  Derivatives of Inverse, Curve Sketching, Linearization
4/09  Differential Equations
4/11  Optimization, Implicit Differentiation, Related Rates

4/14  Integration and the Fundamental Theorem of Calculus
4/15  Integration Applications (Area and Volume, Rates in and out)
4/16  Hyperbolic Trig (enough review for a bit - let's do an extension topic!)

4/18 - 4/27  Good Friday, April Vacation

4/28  Hard 1998 AP Multiple Choice Questions
4/29  Go over Hard 1998 AP Multiple Choice Questions
4/30  Work on 2003 AP Exam
5/02  Work on 2003 AP Exam - submit questions/topics you would like covered on Monday 5/05

5/05  Topics chosen by you
5/06  Last Questions
5/07  AP Exam at 7:30am
5/08  Half Day C A G F

Monday, March 17, 2014

Series Part 2 - 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 blue needs updating.

3/19  Recap of Infinite Sequences and Series, nth term, Integral Test
         HW p.511/29, 30, 34, 38  and  p.523/1-5, 7, 8, 10-14,17, 19, 21
3/21  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

3/24  Ratio Test and the Radius of Convergence         
         HW p.511/9-27 by 3's, 31-47 odd
3/25  Alternating Series, Liebniz Error Bound
         HW p.523-524/27-32, 55, 56, 58, 63-65
3/26  Absolute and Conditional Convergence
         HW p.523-524/23-26, 35-47 odd, 54, 61, 66-71
3/28  Fourier Series, Review and 2 AP Problems  (End of Term 3)
         HW p.526-529/1-16, 41-51 odd (evens are optional but helpful)

3/31  Five more AP Problems
4/01  Test of Series Convergence (9b)

Thursday, March 13, 2014

Improper Integrals (a bit of chapter 8)

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.

3/14  Horizontally and Vertically Infinite Improper Integrals
3/17  T
he Direct Comparison Test and some extra improper integral problems

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

Important Dates
3/18  MCAS Day 1 (Hr G H A)
3/19  MCAS Day 2 (E F H D)
3/21  MCAS Day 3 (D E F B C)
3/28  End of Term 3
4/14  1st night of Passover
4/18  Good Friday - no school
4/19-4/27 April Vacation