Calculus AB − 2008−2009 − Dr. Fred Kral − Bentley School

[Back][bottom][Course Information][syllabus (3 pages)] [College Board description May 2009]

 

Calculus AB Homework Schedule
Integration

HW

Period 6
Date due   

Period 4
Date due   

Read B
Guide

Read
CSV

CALCULUS
Description

          Trimester 2 homework schedule
414 begun
2/12
  B4M 4.6 B Set 4: 31, 32, 42; 78, 8081.  Related rates. B Sets.  In class work.  Reading: CSV Textbook Chapter 4.6, p.206, and B Chapter 4−M Related Rates, p.B121.
          Notes: Sheet #1203: Calculus Course Review. (Pages R1-R7).
          Notes: Sheet #620: Table of Derivatives and Indefinite Integrals
          BSets - Chapters B5−B9, B12.
  ONGOING ONGOING     Quiz Review Packet:
Sheet #500: Integrals and Diff Eqs - [Answers]

 

Calculus AB Homework Schedule - Chapters B5, B6
Integration, Definite Integrals, Fundamental Theorem

HW

Period 6
Date due   

Period 4
Date due   

Read B
Guide

Read
CSV

CALCULUS
Description

510         Sheet#510 Preview of Fundamental Theorem.
511         Sheet#511 Find Areas In Units of Squares
512A         Sheet#512 Estimating Distance with Left and Right Sums.
501 begun in class begun in class     Sheet #501: Derivatives & Integrals: Analytical (Algebraic) Methods - [Answers]
#1 Thu 3/12 Fri 3/13 B5AB 6.2 Sheet #500: 3, 4, 5, 6, 7, 8.  Integration: power rule. Reading and examples are in B Chapter 5 sections A and B [B5AB].
#2 Thu 3/12 Fri 3/13 B5B 7.1 Sheet #500: 18, 22, 23.  Integration: usubstitution, u=ax.
B51 Thu 3/12 Fri 3/13 B5B 7.1 BSet5: 1, 2, 3, 4, 6, (7), 9, 27.  Integration: power rule and usubstitution, u=ax.  ()=optional.
  Thu 3/12 Fri 3/13     Quiz #1.  A selection of questions similar to those of HW#1 and HW#2.  The quiz will have fewer questions than the quiz-review homework.
B52 Mon 3/16 Mon 3/16 B5B 7.1 BSet5: (8), 10, 11, 13, 14, 20, [23removed], 25, 43, 44, 45, 51, 57.   Integration: usubstitution.
B53 Mon 3/16 Mon 3/16 B5E 6.3 BSet5: 76[important], 77, 78, 79[should say 'constant acceleration a=' not 'k='].  Differential equations with initial conditions.  Motion problems.
  Tue 3/17 Wed 3/18     HW#3−HW#5 selected key questions:  9, 10, 16, 21, 27, 80, 84.
#3 Tue 3/17 Wed 3/18 B5B 7.1 Sheet #500: 16, 17, 19, 20, 21, 24, 25.  Integration: usubstitution.
#4 Tue 3/17 Wed 3/18 B5E 6.3 Sheet #500: 77, 78; 79, 80, 81, 82[Find time first], 83, 84[Global min].   Differential equations with initial conditions; Motion problems.
#5 Tue 3/17 Wed 3/18 B6AB 5.2, 5.3, 6.2 Sheet #500: 9, 10, 11, 12; 27. Fundamental Theorem; Definite integral by geometry.
B61 Mon 3/23 Mon 3/23. B6AB 5.2, 5.3, 5.4, 6.2 Bset6: 1, 10; 31; 39.  Evaluating definite integrals: FTC; geometry; rules.
B62 Mon 3/23 Mon 3/23 B6AB 7.1, 5.2 Bset6: 7, 12, 15, 24; 37; 38[Use TI83].  usubstitution for definite integrals; geometry; TI83.
#6 Mon 3/23 Mon 3/23     Sheet #500:  13, (14), 28, 29, 30, 31, 33, 36, (37).  Properties.
#7 Thu 3/19 Fri 3/20     Sheet #500: (40), 41[TI−83], (42), 43[TI−83], 54[No TI−83], 55[Ans=0.201, key is wrong].  Definite integrals with and without TI−83.
  Thu 3/19 Fri 3/20     Quiz #2.  Based on a selection from all of HW#3−HW#5, but not many of the more involved questions of HW#3.

 

Calculus AB Homework Schedule - Chapters B6, B7, B8, B9
Integration, Approximations, Applications, Area, Volume, Differential Equations

HW

Period 6
Date due   

Period 4
Date due   

Read B
Guide

Read
CSV

CALCULUS
Description

540 Tue 3/24 Wed 3/25 B6   Sheet #540: Definite Integrals: Rules & Area - Not required: [Added questions 1115 about B(x)]
#8 Mon 3/23 Mon 3/23 B6   Sheet #500:  7076. Average value.
B63 Tue 3/24 Wed 3/25 B6   Bset6: 33, 34, 40, 42, 52.  Average value.
#9 Tue 3/24 Wed 9/25 B6   Sheet #500: 26, 34, 35[note x=4, x=5 missing], 38, 50, 52[in terms of F].  Integral function.
  Thu 3/26 Fri 3/27     Quiz#3.  Based on HW#6,7,9.
#10 Thu 3/26 Wed 3/25 B6   Sheet #500: 39, 53[in terms of F], 85, 126[**Correction].  Integral function. **126: Correct Answers: 5.5,−7.5;3;6.7 at x=4.8;two. Better question (do this instead): Modify graph to be four line segments including the point (5,0). Answers (better question): 6,−7.5;3;7 at x=5;two.
#11 Thu 3/26 Fri 3/27 B6   Sheet #500: 44, (45), 46, 47, 48, 49, 51[I believe Answer= −8], (56), 57. Derivatives of integral functions.
#12 Tue 3/31 Fri 3/27 B6   Sheet #500: 120(water tank), 127[Correction: Max=12 at x=6, Min=−10 at x=−4]. Integral function.  Both: free response.
530 Mon 3/30 Mon 3/30     Sheet #530: Sample Free Response Questions. All questions.
661 Tue 3/31 Fri 3/27     Sheet#661: Water Tank
-- Thu 4/2 Wed 4/1     2002 B.Question 4 on FTC and trapezoidal approximation.
B64   Wed 4/1 B6   Bset6: 27, 28, 29, 30, 41, 43, 44, 51.  Definition, approximations of definite integral.
#13 Mon 4/6 Wed 4/1 B6,
B8
  Sheet #500: 1, 2; 125. Approximating definite integrals; free response.
#14 Tue 3/31 Wed 4/1 B6,
B8
  Sheet #500: 123. Motion from velocity, free response.
B81 Tue 3/31 Wed 4/1 B8   BSet6: 3, 4, 6, 20, 21, 25, 31.  Net change and total change.  Use calculator.
  Thu 4/2 Fri 4/3     Quiz#4A. Based on HW#8,10,11.
    Fri 4/3     Quiz#4B. Based on HW#12,13,14.
#15 Mon 4/6 Fri 4/3 B7   Sheet #500: 87, 88, 89, 91, 92.  Areas with single curves, including finding limits.
#16 Thu 4/23 Fri 4/3 B7   Sheet #500: 93, 94[Note y-axis], 95, 96, (99), 100.  Area between curves.
B71   Mon 4/6 B7   BSet7: 1, 2, 4[dy integration], 7, (9), 12[dy integration], 13, 17, 43, 45.  Area.  Use calculator if you want to save time.
630   Mon 4/6     Sheet #630: Solving Differential Equations - [Solutions]
#17 Thu 4/9 Mon 4/6     Sheet #500: 61, 62, 63, 64.  Differential Equations with initial conditions, dy/dx=(x).
#18 Thu 4/9 Mon 4/6     Sheet #500: 15[Also find A,B,C,D individually], 86[Motion], 117[Growth, also in HW#21], 121[Milkshake, Corrected Answer: 11.792mL/sec, 55.751mL, 50010t−∫0t ln(x+1)dx = 500−9t−(t+1)ln(t+1), 39.106sec.  You do not need to know the integral of ln(x).]
1151 Thu 4/9 Fri 4/10     Sheet #1151: Exp-Log Questions [questions] - [solutions].
#19 Tue 4/7 Wed 4/8 B9   Sheet #500: There are clarifications and corrections to all questions (sigh!).  58, 59, 60, 65, 122.  Separation of variables, dy/dx=(x, y). 58:also, y=1/(x2/2+C). 59:ex+ey=C or y=ln(ex+C).  For answer to 60, note that ln(1/x)=ln(x).  65:Answer has 3, not 4. 122:Range is y>=1.
#20     B9   Sheet #500: 66, 67, (68), 69.  Slope fields.
#21 Tue 4/7 Wed 4/8 B9   Sheet #500: 115, 116, 117[also in HW#18], 118. Exponential growth and decay.
B91 Tue 4/7 Wed 4/8 B9   Bset9: 11, 13, 16, 19.  Separation of variables.
B92     B9   Bset9: 21, 23−28. Slope fields.
B93     B9   Bset9: 33; 41, 42, 47, 48.  Exponential decay; Law of cooling.
  Thu 4/9       Quiz#4B. Based on HW#12,#13,#14.
  Thu 4/9 Fri 4/10     Quiz#5.  Based on HW#15,#19, #21.
          MC 1997 handed out in class, intended for class work from time to time.
  Mon 4/20 Mon 4/20     You are responsible for having worked on this over break:
MC 1998 with solutions FR 2005 - [FR 2005 Solutions].  Handed out in class.
810   Mon 4/20 B7   Sheet #810: Areas Between Curves: Riemann Sums, Variable of Integration
820     B7   Sheet #820: Area and Volume Questions and Answers
830 Thu 4/23 Fri 4/24 B7   Sheet #830: Washers and Squares - Solution Key
#16 Thu 4/23 Fri 4/3 B7   Sheet #500: 93, 94[Note y-axis], 95, 96, (99), 100.  Area between curves.
#22 Thu 4/23 Fri 4/24 B7   Sheet #500: 102; 104, 105, 108; 119. Volumes: cross sections, disks, washers.
  Thu 4/23 Fri 4/24     Quiz#6.  Based on HW#16, HW#22, Sheet #830 (due at day of quiz).
    Wed 4/29     Sheet #1210: Review Differential Calculus - [solutions]
          Quizzes not made up before 5pm on Monday May 4 will count as zero.
  at exam at exam     Sheet #1200: Practice Final Test - Comprehensive [Questions] - [Answers] - [Worked Out Solutions (not handed out)].  To be turned in at the time of the Comprehensive Exam.
  Thu 4/30 Fri 5/1     Test 8: Comprehensive Exam.  65 minutes.  Calculator allowed.  No notes.  The exam will be based on the material of the practice test (Sheet#1200) that has been available since April 8.  All students are required to pass this exam.
  Tue 5/12
library
Tue 5/12
library
    Make up Exam.  100 minutes.  Calculator allowed.  Only one make up date.  The make up test may be more challenging than the original test.  It will be based on Sheet#1200.

 

Calculus AB Homework Schedule - AP Review

  MC 1997 with solutions.  Handed out in class.
  MC 1998 with solutions.  Handed out for Spring Break.
  FR 2005 - [FR 2005 Solutions].  Handed out for Spring Break.
Mon
5/4
MC 2003 - [Answers] - [Solutions].  Handed out in class after Final Exam.
Mon
5/4
FR 2008 - [FR 2008 Solutions].  Handed out in class after Final Exam.
Tue
5/5
FR 2007- [FR 2007 Solutions].  Handed out in class after Final Exam.
  MC Practice Exam (2008 version).  Come to Monday class to work on questions, answers and solutions.
  [College Board: All AP FR exams and solutions]
  Sample Multiple Choice and Free Response Questions in [College Board Course Description May 2009]
  Make sure you know the instructions from the College Board or from the in-class handouts.
  Gale database online Practice exam (MC).  See your email.
  Review Sessions: Monday Periods 4 and 6. Tuesday Period 6 (all welcome).  By appointment Periods 1, 2, or 3.
Wed
5/6
8am
AP® Calculus AB Examination.  Bring any AP approved calculator.  Bring an extra calculator (in case your breaks or gets into a state you cannot recover from). Remember [2nd] [MEM+]722. Bring 4 extra AAA batteries.  You will not be able to borrow a calculator during the test.  Bring #2 pencils & very good erasers.

 

Calculus AB Homework Schedule - Post AP

HW#

Period 6
Date due   

Period 4
Date due   

Book

First
Page

CALCULUS
Description

    AB2009 Exam is/was here[Site of future 2009 exam added to 20012008)].
  Tue 5/19 Mon 5/18     AB2009 Exam. Questions 3, 4 and 6.
  Tue 5/19 Mon 5/18   p129
p147
p159
Handout on polar coordinates, matrices and vectors.  Work the examples.  Do all 9 questions that are part of the reading.  Read about what we did not cover: determinants, magnitude and perpendicular vectors (needed to do 3 of the questions).
  Tue 5/26 Wed 5/27     AB2009 Exam. Questions 1 and 5.
  Tue 5/26 Wed 5/27     Test 6 - [Solutions].

 

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