Post AP Activities

We have a few weeks before the final exam which we will spend on the following activities:

5/06  A fun activity to celebrate finishing the AP exam

5/09  Limits and how we can evaluate/use them...
         CW handout p.1-p.4,  HW p.95-97/3,6,9,12,33,52-55  and  p.450-451/9-51 by 3's (not 27), 60
5/11  More with limits and horizontally improper integrals
         CW handout p.5-p.7,  HW start p.467-469/1-44, 55
5/12  More with limits and vertically improper integrals
         CW handout p.8-p.10,  HW finish p.467-469/1-44, 55
5/13  Limits quiz

5/16  Work on AP Problem Rubrics
5/18  Continue Working on AP Problem Rubrics  MCAS Day 2: A H D E F C B
5/19  Prepare presentations  Half Day C A G B
5/20  AP Problem Presentations (review the rubric here)

5/23  AP Problem Presentations
5/25  Final Day 1
5/26  no class
5/27  Final Day 2

Reviewing for the AP Exam

Below are the activities and topics that will constitute our review for the AP exam.  During this time there will also be four pop quizzes that will cover material that has already been reviewed.  Together they will count as a test for the fourth term so stay up to date with your reviewing/homework.

3/31  2003 AP Exam
4/01  2003 AP Exam

4/04  Score and answer questions about the 2003 AP Exam
         upload your results here
4/06  Partial Fraction Decomposition, Riemann Sums, MVT, IVT, FTC, ...
4/07  Continue with packet 1 problems
4/08  Curve Sketching

4/11  Rates In and Out type problems
4/13  Moving Particle problems
4/14  Differential Equations, Integrating Logistic Functions
4/15  Area and Volume

4/16 - 4/24  April Break

4/25  Hard Multiple Choice problems
4/27  go over Multiple Choice problems
4/28  2008 AP Exam
4/29  2008 AP Exam

5/02  Score and answer questions about the 2008 AP Exam
5/04  Last questions
5/05  AP Exam

A little bit of Parametric and Polar Calculus

We didn't have many snow days this year so we will be doing a little bit of Parametric and Polar Calculus before we start reviewing for the AP exam.

3/16  Review Parametric functions (and Related Rates)
         HW p.535/1-25 odd  and  p.545-547/27-39 by 3's, 49, 57-59
3/17  Parametric Curve Length
         HW p.536-537/27-37, 39, 40, 57, 59
3/18  Review Polar Functions (definition, graphing, slope)
         HW p.557-558/12-42 by 3's

3/21  Polar Area
         HW p.558/43-57 odd, 60
3/23  Polar Curve Length
         HW p.559/72-74 and handout problems 31-39 odd, 45-54
3/24  Extra Polar Calculus Problems (end of Term, Half Day F C A H)
         CW/HW handout problems 1-25 odd, any other problems you need
3/25  Good Friday - no school

3/28  Mixed Polar and Parametric Problems
         HW handout problems do the odds and follow any additional instructions
3/30  Parametric and Polar Quiz

Chapter 7 - Area and Volume Using Calculus

We start our last AP topic, Area and Volume. This is the most concrete of the topics we study where every result comes from a visualizable problem.

2/22  Area between Curves
         HW p.395-397/3-48 by 3's
2/24  Volume of "Mathematicians Paperweights"
         HW p.406-407/1-6
2/25  Volumes using Discs
         HW p.407-410/7-14, 23, 24, 39, 40, 49, 70
2/26  Quiz; Volumes using Washers
         HW p.407-408/15-20, 25-28, 41, 42

2/29  Rotating around other lines than the axes
         HW p.407-409/21, 22, 43-47a, 50-53
3/02  Length of a Curve
         HW p.416-417/1-17 odd, 23-29 odd
3/03  Surface Area
         HW p.409/55-62
3/04  Quiz; Integration as net change
         HW p.386-387/1-25 odd, 26

3/07  Application Problems
         HW p.425/1-6, 8, 10, 11
3/09  More Application Problems
         HW p.426-427/17, 18, 20-23, 25
3/10  Review
         HW p.430-433/3-21 by 3's, 22-24, 26-29, 32, 38
3/11  More Review
         HW Worksheet of Concept Problem (answer key)

3/14  Test of Ch 7

The solution manual for Chapter 7 is available here.

Chapter 6 - Differential Equations

Differential equations is a large topic in science and engineering. It comes up in many applications and you can take a whole semester course on it in college. We will be doing an intro that utilizes many of the skills that we have already learned, plus some new ones. We will be working to solve them three ways: Numerically, Graphically and Analytically.

As we go through the analytic methods there will be frequent (maybe daily) short quizzes to assess how you are doing on learning the analytic skills and when to apply them.

1/18  Martin Luther King Day - no school
1/20  6.1  Numerical Solutions: Euler's Method
         HW p.328-330/41-48, 53, 68 also download the slope field program to your calculator
1/21  6.1  Graphical Solutions: Slope Fields
         HW p.328-330/25-40, 49-51, 59, 61, 62, 67
1/22  6.1  Analytical Solutions: Antiderivatives (technique 1)
         HW p.327,330/1-23 odd, 65, 69, 70

1/25  6.2  Integration by Substitution (analytic technique 2)
         HW p.338-340/18-66 by 3's, 78, 79, 81
1/27  6.3  Integration by Parts (analytic technique 3)
         HW p.346/1-16
1/28  6.3  More Integration by Parts (repeated, circular, tricky)
         HW p.347-348/17-32, 42, 45, 49
1/29  Extra Practice of Integration by Parts
         HW Finish handout

2/01  Fire Drill - no class
2/03  Separation of Variables
         HW p.357-360/1-10, 41, 43, 47, 48, 54
2/04  Exponential Growth and Decay
         HW p.357-361/21, 24, 25, 27-31, 35, 40, 42, 49-53, 58
2/05  Snow Day

2/08  Snow Day
2/10  Review day (handout and answer key)
         HW p.373-376/24-63 by 3's, 67-69
2/11  Test of Chapter 6
2/12  Area Exploration; Last day for quiz makeup

2/13-2/21  February Vacation

Here are the solutions for the Chapter 6 questions.

When we get to review for the AP exam we will pick up this
topic which we had to skip because of Snow Days:
Partial Fraction Decomposition and Logistic Function
         HW p.369-371/1-35 odd, 42-47

Chapter 5 - The Definite Integral

We have explored how to find the slope of any curve and many applications of knowing that rate of change. That was the first half of the Big Ideas of Calculus. Chapter 5 starts us on the path to the other Big Idea of Calculus - Integrals (definition to come soon!)

Post Ch 4 Test, enter a version of the RAM program (or look up a fancier one online - for

           example riemann.zip at http://www.ticalc.org/pub/83plus/basic/math/calculus/ -

           and download it right into your calculator)

12/14  5.1  Estimating with Finite Sums (RAM)
                  HW p.270/4-9,15,18,23-25,29,31-40
12/16  5.2  Riemann Sums -> Definite Integrals
                  HW p.282-283/3-39 by 3's, 47-56
12/17  5.3  Rules for Definite Integrals
                  HW p.290-291/1-17
12/18  5.3  Derivatives of Definite Integrals
                  HW p.291-293/19-37 odd, 38, 39, 41, 45-51 odd

12/21  5.4  Fundamental Theorem of Calculus
                  HW p.302-303/3-48 by 3's
12/23  5.4  Fun Activity using Calculus

12/24 - 1/3 Christmas Break (Rest and Enjoy!)

1/04  Review what we know so far
         HW p.315-317/1-4,6-9,12,13,35-38,46
1/06  More with the Fundamental Theorem of Calculus (5.4)
         HW p.302-305/10,11,16,17,19,20,29,31,35,43,46,58-61,73,75
1/07  Trapezoidal Rule (5.5)
         HW p.312-314/1-9 odd,10-12,20,39
1/08  Simpson's Rule and Review
         HW finish handout

1/11  Review Day 1
         HW p.316-319/15-30 by 5's,33,54,56,58-60
1/13  Review Day 2 - Extension Problems
         HW finish handout solutions
1/14  Half-day, no class  B A G F
1/15  Test of Ch 5, End of Term 2

1/18  Martin Luther King Day, no school

Here are the solutions for the Chapter 5 questions.

Chapter 4 - Applications of the Derivative

Chapter 4 is about using derivatives to solve problems. Some are fun, some may be difficult, many will seem artificial but all of them are interesting.

11/11  Veterans' Day - no school
11/12  Interpreting the Derivative, Extrema (4.1) CW p.193-195/2, 3-9 odd, 32, 33, 51, 55
           HW finish CW plus p.194-195/12-30 by 3's, 36-42 by 3's, 45-49
11/13  Mean Value Theorem (4.2)
           HW p.202-204/1-11 odd, 15-36 by 3's, 40, 42, 43, 45, 57

11/16  Extrema and Inflection Points (4.3)
           HW p.215-216/1-25 odd, 33-39 odd
11/18  Curve Sketching (4.3)
           HW p.216-218/41, 42, 45-54, 63
11/19  Quiz of 4.1-4.3,  Optimization (4.4)
           HW p.226-232/1-21 odd, 31, 33, 35, 64
11/20  Business Applications (4.4)
           HW p.125/48 and p.228-232/23-27,37-41,46,47,49,58-63

11/23  More optimization problems (4.4)
           HW finish packet
11/25  Optimization Quiz   Half Day A C F H
11/26  Thanksgiving! Yummy!!

11/30  Parent Conferences
12/02  Related Rates Day 1 (4.6)
           HW p.251-252/1-19 odd
12/03  Related Rates Day 2 (4.6)
           HW p.252-254/20-23, 25-35 odd, 42-44
12/04  Linearization
           HW finish packet (answer key)

12/07  L'Hopital's Rule (8.2)
           HW finish handout plus p.450-452/3-45 by 3's, 69-71
12/09  Quiz of 4.5 & 4.6,  Recap uses of Derivatives, extension problems (answer key)
12/10  Review
12/11  Chapter 4 Test
           HW Enter a version of the RAM program (or look up a fancier one online - for 

           example riemann.zip at http://www.ticalc.org/pub/83plus/basic/math/calculus/ -

           and download it right into your calculator)

I am again posting the answer key for the textbook homework problems here. Remember: really try before going to the answer key. And do all of your homework!