AB Calculus

New Problem Set due date!

2008-05-19T16:43:00.004-04:00

To give you a bit more time (all those MCAS mornings!), we are moving the due date of Problem Set #4 to Friday, 5/23. The problem sets will be available for grading on Tuesday, 5/27. Since C-Block does not have class that day, those students have the option of picking it up from me or of coming to class on Wednesday and grading it there. The graded problems sets are due on Wednesday, 5/28.

If you turn in your problem set late, or you turn in the graded problem set late, your grade on the problem set will suffer.

End of Year Assignments

2008-05-09T09:12:00.004-04:00

Assignment	passed out/posted	due date
Taylor Series	7-May-08	quiz 16 May 08
Problem Set #4	12-May-08	22-May-08
Grade Prob Set #4	23-May-08	27-May-08
AP Rubric	19-May-08	30-May-08

AP Review with actual AP tests!

2008-04-14T14:41:00.001-04:00

Here is the plan leading up to the AP Exam on May 7th.

4/9 or 10    1997 Multiple Choice problems, due 4/14
4/14            1998 Non-calculator Multiple Choice (1-27)
4/15 or 16 CW 1998 Open Response 1-3 HW 1998 Calculator Mult. Choice
4/16 or 17 CW 1998 Open Response 4-6 HW 2003 Multiple Choice part A

4/18 Review Quiz #6

4/19 - 4/27 April Vacation

4/28             CW 2003 Open Response 1-3 HW 2003 Multiple Choice part B
4/29 or 30   CW 2003 Open Response 4-6

4/30 or 5/1 Final Day 1
5/2                Final Day 2

5/5     Go over Final

5/7     AP Exam

5/8     Half-Day C B G F

Curve Length and Surface Area (Cartesian, Parametric & Polar)

2008-03-13T15:43:00.006-04:00

We area going to learn how to find the length of a curve and the surface area of a curve revolved around an axis. We will be doing this with Cartesian (rectangular), Parametric and Polar coordinates. (C-Block dates for all)

3/19 Length of a curve
           HW p.399-400/3-18 by 3's, 22, 23, 25
3/20 Surface area of a curve
           HW p.394/57-64

3/21 Good Friday - no school

3/24 More Practice
           CW/HW Worksheet of problems
3/25 MCAS Schedule - D-block does not meet
3/26 MCAS Schedule - C-block does not meet, D-block 1:35-2:25
           Problem Set #3 due
3/27 MCAS Schedule - C-block 1:30-2:15 (followed by HR)
           Review Vector and Parametric Functions (10.1 - 10.3)
           HW p.518-519/1-9 odd, 25 and p.537/1-5,7,9,11,15

3/28 Review Quiz #3, End of Term 3

3/31 Curve Length and SA for Parametrics
           HW p.518-9/12,15,18,20,21,23,30 and
           p.537-8/20,21,29,31,33
4/02 Review Polar Curves
           HW p.558-559/1, 3-52 by 3's, 65, 66
4/03 Calculus of Polar Functions (Area)
           HW p.566/3-15 by 3's, 16, 18, 20, 25, 28

4/04 Review Quiz #4

4/07 Curve Length and SA of Polar Curves
           HW p.566-8/31,34,38,39,42-45
          (#47 & 48 for extra credit - due Fri)
4/09 Practice/Review
4/10 Curve Length and SA Quiz
            HW 1997 Multiple Choice Packet

4/11 Review Quiz #5

Quick flyby of Chapter 8

2008-03-07T08:53:00.002-05:00

We are going to look at a bit of Chapter 8 which revisits limits. (C-Block dates)

3/06 Intro to L'Hopital's Rule (8.1)
           HW p.423/1-9 all, 15-19 odd

3/10 More practice with L'Hopital's Rule (8.1 cont.)
           HW finish worksheet

3/12 Improper Integrals (8.3)
           HW p.442/1,4,7,12-14,17,18,20,21,23,24

3.13   More practice

3/14 Review Quiz #2 and Pi Day! (bring round treats)

3/17 Ch 8 Quiz

Posting the CW problem we did (eg, make sure you do them)

2008-03-03T17:56:00.000-05:00

For the classes listed at "Mixed Methods" and "Mixed Volumes"
we did problems in class from another book (the Larson book).

Day 1: p.513/3 - 21 by 3's (except 12), 23, 27, 29, 30
Day 2: p.513/22, 24-26, 28 and p.515/2, 3, 7

Area and Volume in Calculus

2008-02-11T14:45:00.001-05:00

We will start Ch 7 before vacation and finish after vacation. That is the end of the material that is required for the AP exam so while we continue learning new material, we will start reviewing. The review schedule/assignments will be published separately. Your book or copied pages may be useful. (C-Block dates this time.)

2/11 Area between Curves
           HW p.380-383/2-8 even, 9-36 by 3's

2/13 Cross Sectional Area and Volume
           CW/HW p.390-391/1-12

2/14 Disc Method for Volume
           HW p.392/13, 16-21, 29, 30

2/15 Integrals as Net Change
           CW p.371-373/1, 8, 9, 12-16, 21, 23, 28

2/16-2/24 VACATION (Yeah!)

2/25 Review of Volume, plus the Washer Method
           HW p.392/14, 15, 23, 25, 27, 31-34

2/27 Shell Method for Volume
           HW p.392-393/39, 41, 43-47

2/28 Mixed Methods
           HW p.393-394/40, 42, 48-52

2/29 More Mixed Volumes (and Leap Year Day)
           HW p.394/53-55, 65-68

3/03 Review

3/05 Ch 7 Test

Review homework

2008-02-05T08:46:00.000-05:00

Here is some book homework from the review section of Ch 6.

p.358-360/3-27 by 3's, 29-36, 46, 52, 54

After all the integration techniques...

2008-01-23T19:26:00.001-05:00

After the changing of the schedule due to the snow day on the 14th, we continue plugging away at chapter 6. (D-Block dates for Tues/Wed/Thur)

Remember that the Mixed Integrals homework is due Wednesday, January 30th.

1/25 Slope Fields HW finish worksheet and p.329/35-38

1/28 Euler's Method HW p.356/9-17

1/29 Initial Value Problems HW p.312-314/25-41 odd, 49-57 odd

1/30 Separation of Variables revisited
HW handout/3-33 by 3's,35,36,39-41

2/01 Solving Exponential Problems HW p.338-341/9-36 by 3's

2/04 Solving Logistic Probs HW p.347-349/1-11 odd,17,25,27-30

2/05 Mixed Application Problems (challenge and extension)

2/06 Review

2/08 Ch 6 Test (Proposed)

Technical Integration Skills

2008-01-09T15:01:00.001-05:00

Here is the syllabus for the Integration Skills we will be covering.
Interspersed will be the quick quizzes. Keep up!

1/08 Indefinite Integrals [6.1]
      look at p.312/3, 4, 6, 7-21 odd for extra practice

1/09 Substitution Day 1 [6.2]
      HW p.321-322/1-29 odd

1/11 Substitution Day 2 [6.2]
      HW p.322-323/31-43 odd, 47, 48, 50, 51

1/14 Integration by Parts Day 1 [6.3]
      HW p.328/1-4, 9, 11

1/15 Integration by Parts Day 2 [6.3]
      HW p.328-329/`13, 15, 19-22, 27, 29

1/16 Partial Fraction Integrals [8.4]
      HW p.452-453/1, 5, 7-12, 27, 28, 30, 47

1/18 Mixed Integration Day 1

1/22 Mixed Integration Day 2

Starting Chapter 6

2008-01-08T11:48:00.000-05:00

Much of Chapter 6 deals with amassing skills to find integrals. As we learn the skills we will have several short quizzes to make sure you are keeping up. They will start on Friday the 11th and continue every day or two. There will be about 6 quizzes and each one will have about 3 problems. If you miss one or fail one there will be one general makeup quiz. These are all about skills (rather than conceptual understanding).

Topics (not in order):
             General Antidifferentiation
             Integration by Substitution (undo the Chain Rule)
             Integration by Parts (undo the Product Rule)
             Partial Fraction Decomposition
             Separation of Variables

We started with Fun Integrals and a table of Indefinite Integrals
to help get organized. Finish the packet for homework.

Return, review, then test

2008-01-03T21:22:00.002-05:00

Welcome back! Hopefully you have retained what you knew about the Fundamental Theorem of Calculus. On Friday the 4th we review, on Monday the 7th we have the Chapter 5 test.

Remember that Friday is the last day to do the extra problems if you are unhappy with your Chapter 4 test grade.

Also remember that Problem Set #2 is due on Tuesday January 15th (even if we don't have class!). They will be sorted and passed out for you to grade on the 16th. The term closes on the 18th so tardiness is strongly discouraged.

Term 2 Problem Set

2007-12-22T09:19:00.001-05:00

The problem set for term 2 has been uploaded in the AB Discussion conference. You don't have to work on it during vacation but you can if you like. Enjoy!

More practice with Trapezoids and the Fundamental Thrm

2007-12-19T15:59:00.000-05:00

The first set of problems is practice with the Trapezoidal Rule. The second set is more practice with the Fundamental Theorem. Do them before the quiz.

p.295/1-7
p.287-288/53, 54, 55, 60

It's the Fundamental Theorem of Calculus!

2007-12-18T16:45:00.001-05:00

It's important! Make sure you understand.

HW p.286-287/19-23 odd, 29-41 odd, 47, 49, 50

Moving along in Chapter 5

2007-12-13T10:08:00.001-05:00

We will reinforce the rectangular approximation idea with the integration notation before moving on to section 5.3. (Still using D-Block dates.)

12/12 Work w/ RAM program in calculator HW Wrksht of probs
12/14 5.3 Mean Value Theorem for Definite Integrals
HW p.274-276/1-29 odd, 44, 46

Chapter 5

2007-12-10T17:51:00.000-05:00

I was hoping that we could speed through this chapter and have
the assessment before break but I don't see value in speeding
through many of these important ideas. There will still be a quiz
before break but not the chapter test.

12/10 5.1 HW p.254-257/1-5, 7, 8, 10-13, 22-26
12/11 (or 12) 5.2 HW p.267-268/9-27 by 3's, 29-45 odd

All of Chapter 4 - Using Derivatives

2007-11-11T09:19:00.000-05:00

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 good for you. This is really one of the fun chapters because you get to draw pictures! All dates are for C-Block. D-Block has the same assignments on Mondays and Fridays and is a day ahead on Tuesdays and Thursdays. You may notice that there are no quizzes posted though this is a month long chapter. They could happen at any time. Curve sketching, optimization and related rates make excellent one question quiz topics. Be ready.

11/08 Extrema (4.1) CW p.184-185/1-9 odd, 32, 33, 35, 53
              HW p.184-185/12-30 by 3's, 36-42 by 3's, 45-49, 51

11/09 Mean Value Theorem (4.2)
              HW p.192/3-39 by 3's, 43, 45, 48, 53

11/12 Veterans' Day - no school

11/13 Extrema and Inflection Points (4.3)
              HW p.203-204/1-31 odd

11/14 Curve Sketching (4.3) CW p.205/33, 35, 50
              HW p.205/34-48 even

11/15 Optimization (4.4)
              HW finish introductory packet

11/19 Business Applications (4.4)
              HW p.218-219/42, 45-53

11/21 Half Day A C F H
              More optimization problems (4.4)
              HW finish packet

11/22 Thanksgiving! Yummy!!

11/26 Related Rates Day 1 (4.6)
              HW p.237-238/1-19 odd

11/28 Professional Development Day - no school

11/29 Related Rates Day 2 (4.6)
              HW p.238-240/14-32 even

11/30 Related Rates Day 3 (4.6)
              HW p.239-241/25, 33-40

12/03 Linearization
              HW finish packet

12/05 Estimation vs Error CW 1-7
              HW finish handout

12/06   Review, Newton's Method

12/07   Chapter 4 Test

Finishing Chapter 3

2007-10-29T13:20:00.000-04:00

The last two sections of Chapter 3 deal with inverses and our need to find the slopes of inverse functions. Section 3.8 deals with inverse functions in general and inverse trig functions specifically. Section 3.9 deals with exponential functions and their inverses, logarithmic functions. Here is the homework for the rest of the chapter.

Day 1 HW read pp.157-158, do Exploration 1
Day 2 HW finish classwork plus p.162-163/5-19 odd, 20,21,33
Day 3 HW p.25-26/36,40,41 & p.39-40/11,15,18,20,37-47 odd,52
Day 4 HW Worksheet of Exponential Modeling Problems
Day 5 HW p.170/2-18 even, 41, 42, 47
Day 6 HW p.170-171/21-39 by 3's, 44, 45, 52
Day 7 Review CW/HW p.171/53 & p.172-175/45-49,54,69,71,74

11/07 Test of all of Chapter 3

More Derivative Techniques with Chapter 3

2007-10-10T20:08:00.001-04:00

You will have to count off the days from our quiz on 10/05/07.

Preparing for trigonometric derivatives we reviewed trig functions in 1.6 (after-quiz homework) pp.49-51/25-32,37-39,42,45-48

Back to Derivatives:
Sec 3.5   pp.140-141/1-13 odd,14,16-21,23,27-29,31-33,35
(We will be working on these problems for two days - bring your book!)

Sec 3.6   Intro to Trig Differentiation HW pp.146-147/1-31 odd
             More HW pp.147-149/33-45 odd,50,52,57,58,61,62,67
             Parametrics CW p.148/64,66 HW finish all worksheets

Sec 3.7   Implicit Diff Intro HW p.155/1-21 odd, 39-45 odd
             Tangents HW pp.155-157/24-36 by 3's,42,46,48,50,51
             More Power Rule HW Diff Techniques Wrksht

Quiz of 3.5 to 3.7 (10/23 for D-Block, 10/24 for C-Block)

Derivative = Rates of Change

2007-09-24T17:10:00.000-04:00

We looked at rates of change with tangents and then, with the Bike Ride Lab, with velocity, before taking our test for Chapter 2.

We are starting Chapter 3 which focusses on Derivatives (the rate of change of functions).

Day 1   3.1 Definitions p.102-104/15-27 odd
Day 2   3.1 Smoothness and Numerical Derivatives
Day 3   3.2 Differentiability p.111-112/1-10, 11-21 odd, 31
Day 4   3.3 Rules of Differentiation p.120/2-32 even
Day 5   3.4 Velocity & other Rates of Chng p.129-133/1-31 odd
Day 6         Summative and Extension Problems
***     1.6 Trig Review
10/5            Quiz 3.1 - 3.4

Rates of Change

2007-09-17T14:14:00.001-04:00

The last section of chapter 2 is a wrap-up about rates of change
being the slope of the curve being the slope of the tangent line.
Here is the homework:

p.87-89/3, 6, 7-33 odd

Continuity

2007-09-10T17:28:00.001-04:00

Section 2.3 deals with Continuity - in both intervals and
entire functions (be careful with the definition of a
continuous function - look at its domain!).

9/10 or 11 CW p.77/Exploration; p.81/31, 32
HW p.80-81/3-33 by 3's

9/12 CW p.81/45
HW p.81/34-44, 49

If we didn't get to the classwork listed above, take a
look at it. You still need to understand it.

Launching into Calculus

2007-09-07T22:26:00.000-04:00

We start by looking at the calculus preliminaries. Here are the first five homework assignments covering the intro material as well as sections 2.1 and 2.2:

#1 p.7/9, 14, 15, 20, 32
#2 p.62-63/2, 4, 6, 9-31 odd, 33-36
#3 p.63-64/37-40, 43-61 odd
#4 p.71-72/1-10, 13, 14, 23-27 odd
#5 p.72-73/18-28 even, 33-39 odd, 43, 47, 49, 53