Calculus BC Assignments & Calendar

 

This assignment sheet is for the entire year.  Assignments are numbered.  On any given day, one to two problem sets may be assigned.

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AP Calculus BC Assignments 2008-2009

Text: Calculus: Graphical, Numerical, Algebraic.  Finney, Demana, Waits, Kennedy.  Third Ed.

 ****Assignments with asterisks by the page numbers are required problems to be turned in on the day of the test.  They will be graded for accuracy***************

Assgmt

Section

Topic

Pg.

Problems

1

1.1-1.5

Lines, Functions, Exp, Log

56

10,18,24,28,32,36,38

2

1.6

Trig Functions

55

56

1-4

54,56-60,62,65,68-70

   

Notes on Limits!!

 

Limit Worsheets:

1234, Here's a Nice Algebraic Limit

3

2.1

Rates of Change & Limits

66

2-8even,14,17,18-30even,34-44even,48,50,52,58,65,66

4

2.2

Limits at infinity

76

2,3,7,12,16,20,30,34,36,42,54,56,58, AP quiz 1-4

5

2.3

Continuity

84

7,11-18,20,22,24,29,40,42,47,50,51,54,55,58,59

6

2.4

Rates of Change & Tangent Lines

92

2,4,8,12,14-16,21,26,30-33,35,36,AP1-4

7

 

Review

95*

6,8,15-24,25,29,39,43,53-55

8

 

PRACTICE MC questions for test on Limits & Continuity.

 

 

    Notes on Derivatives!!    

9

3.1

Derivative of a Function

105

1,4,7,9,10,12-17,20,21,22,26,2829,32,36,37,42,44

10

3.2

Differentiability

114

4,8,1011-14,20,28,30,35,39,40,41,47,48

11

3.3

Rules of Differentiation

124

6,10,14,19,24,26,28,31,32,38,39,46,47,53,54,AP1-4

12

3.4

Velocity and Rates of Change

135

3,8,9,10,11,13,20,24,26,29,32,36,40,41,47

13

3.5

Derivatives of Trig Functions

Practice FR questions for TEST 2

Practice MC questions for TEST 2

ANSWERS here (thanks Aly!)

146

6,16,20,23,24,30,32,36,37,38,40,41,42,44,45,46,52,

14

3.6

Chain Rule

Chain Rule Xtra Practice

KEY

153

12,14-32even,44,46,49,56,70,71,AP1-4

15

3.7

Implicit differentiation

162

1,4,7,11,161,8,24,30-42even,43,50,57

16

3.8

Derivs of Inverse Trig Functions

170

6-8,10-26even,27,28,31,35,36,41

17

3.9

Derivs of Exp & Log Functions

Derivative Practice all Rules

KEY

178

2-42even,43,44,47,49,51,57,58,AP1-4

18,19

 

PRACTICE TEST: All Rules of Differentiability

181*

8,17,19,34,35,40,47,53,54,59,63,67

20

4.1

Extreme Values of a Function

NOTES

193

2-18even,26,27,34,37,40,44,45,46,50,51

21

4.2

Mean Value Theorem

202

2,3,6,8,9,11,18,22,24,28,32-42even,47,51,52,56

22

4.3

f, f’,& f”

215

6,8,16,19,22,24,28,30,34,38,39,41,42,46,47,48,50,52,60,AP1-4

23

4.4

Modeling & Optimization

Optimization Worksheet

226

1,6,10,11,17,22,30,36,41,47,51,52,64

24

4.6

Related Rates

Related Rates Worksheet

251

11,13,15,1617,19,22,25,30,32,36,37,42,AP2,3,4a

25/26

 

Review/TEST

Practice TEST

256*

3,17,23,27,32,35,37,39,49,61,70-72

27

4.5

Linearization & Newton’s Method

242

2,1420,26,28,30,31,45,37,58

28

5.1

Estimating with Finite Sums

270

2,5,6(refers to prob#5),10,16,19,23,24,30-33,38

29

5.2

Definite Integrals

282

2,8,12,14,16,20,21,26,30,3234,35,37,40,41,42,46

30

5.3

Antiderivatives

290

2,4,6,12,14,15-18,19,22,26,28,29,34,36,40,4145,46,AP1-4

31

5.4

Fun Theorem of Calculus

302

2,10,12,14,20,24,28-40even44,46,48,50,52,57,58,62,65,66,75

32

5.5

Trapezoidal Rule

312

5,6,8,12,31,32,36,AP1-4

33

6.2a

Antidiff by Sub & Pattern Recognition

337

4,10,12,19,22,26-68even,71,72,73,75,80,82

34 6.2b

continued

338

349

25-65odd

AP1-4

 

35/36

 

Review/TEST

PRACTICE MC TEST

PRACTICE TEST II mixed review

315*

4,5,9,13,19,22,23,29,33,39,42,45,54

37

6.1

Diff Eq & Slope Fields & EULER's METHOD

Slope Field NOTES
Euler's Method NOTES

327

2,4-6,9,10,17,19,20,24,25-28,30,32,34-40,41,44,46,49,51,52,53,59,60,64,68

38

6.3 Integration by Parts

Integration by Parts NOTES

346 2,5,10,11,15,20,24,26,32,34,35,40,41,AP 1-4

39

6.4

Exp. Growth & Decay

357

372

2,5,8,9,10,22,24,2831,36,44,47,48,50,51,57

AP1,2

40 6.5 Integration by Partial Fractions & Logistic Growth

Partial Fraction NOTES

Logistic Growth NOTES

369 5-27odd,33,40-44,AP 1-4

41/42

 

Mixed practice

373*

8-10,13,15,17,24,25,32,35,38,39-43,49,57,59,61,67-69

43

7.1

Integral as Net Change

386

2,4,6,11,12-16,20,21,28,31,32,33,34

    Review/TEST

Practice TEST

   

44

7.2

Areas in a Plane

395

1,2,4,8,9,12,14,16,27,28,34,37,41,45,46,49,50,51,54

45

7.3a

Volumes As an Integral

406

1,2,8,10,14,18,22,24,29,34,39,45,46,50,63,64,65,67,68

46

7.3b

Continued Volumes

411

70,AP1-4

47 7.4 Lengths of Curves 416 1,6,7,11,17,23,24,34,36,37,38
    Practice TEST areas, volumes, & arclengths    
48 8.2 L'Hopital's Rule 450 7,11,15,17-25odd,26,33,35,41,44,49-52,54,55,66,67,AP1-4
49 8.3 Relative Rates of Growth 457 2-12even,13,14,29,30,32,34,45,47
50 8.4 Improper Integrals 467 3,5,7,11,17,19,25,28,33,35,37,41,48,49,50-53,AP1-4

51/52

 

Review/TEST*

430*

470*

1,3,7,10,17,21,22,24,28,31,45,46,53-55

9,10,13,15,17,,21,22,37,43,47,56-58

   

Parametric & Vector

 

Intro & Formulas

Notes Day 1, Day 2, Day 3, Day 4

Worksheet 1 (answers 1)

Worksheet 2 (answers 2)

Worksheet 3 (answers 3)

Sample MC questions

Sample FR questions, more FR questions

   

Polar

 

Polar Graphs Day 1, Day 2, Day 3

Worksheets 1, 2, & 3

Worksheet 4

Answers to Worksheets 1-4

Sample MC questions

Sample FR questions

   

Sequences & Infinite Series

 

Notes :

Convergence/Divergence:

Day 1, Day 2, Day 3, Day 4, Day 5

Worksheet 1 (answers 1)

Worksheet 2 (answers 2)

Worksheet 3 (answers 3)

Worksheet 4 (answers 4)

Summary of Convergence Tests

 

Taylor/Power Series:

Day 6, Day 7, Day 8, Day 9, Day 10

Worksheet 6: Taylor Polynomials (answers 6)

Worksheet 7: Power Series (answers 7)

Worksheet 8: Power Series (answers 8)

Worksheet 9: Power Series (answers 9)

Worksheet 10: Series and Error(answers 10)

Worksheet 11: Series Review 1(answers 11)

Worksheet 12: Series Review 2(answers 12)

Worksheet 13: Series Review 3(answers 13)

Sample MC questions on Series

Sample FR questions on Series

 

    BC AP REVIEW  

Calculus Cheat Sheet (by Paul)

 

FR 1996 #5 & #6

AP REVIEW 1

AP REVIEW 2

AP REVIEW 3

AP REVIEW 4

AP REVIEW 5

AP REVIEW 6

AP REVIEW 7

AP REVIEW 1-7 answers

AP REVIEW 8 & FINAL  answers

Review 9, 10, 11, 12, 13, 14, 15, 16, 17

 

    End of Course Survey    
    Letter to Incoming Calculus Students    
         
         
         

 

 

 

 

 

 

 

 

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