AP CALC ASSIGNMENTS

2010-2011

1. Use the definition of the derivative to find f '(2) for f(x)=x², f(x)=3x²-5 and f(x)=3x²-5x also

    use the definition to find f '(x₀) for f(x)=x³.

2. Do the 30 problems on practicing the short cuts.

3. Do the  handout on product and quotient rules (11 problems) plus the 3 extras on the back.

4. Derive the derivatives for sec x,  csc x and cot x

5. Worksheet on Trig Derivatives 

6. Worksheet on Chain Rule

7. Derivative of the Inverse Pg 170 #28

8. Take Home on Derivatives

9. Worksheet on implicit differentiation

10. Tangent approximation problems

        For y=lnx, use a tangent at x=1 to approximate ln1.5

        repeat using a tangent at x=e to approximate ln3

11. Study for test

12. Problems on handout #'s 23-26

13. Problems on handout #'s 1,2,3,5,6,9,33,34

14. Curve sketching problems # 7a,7b,9a,9b,13,15,17a,17b,19a,19b

15. Curve Sketching Take Home

16. Hand out on Optimization problems (Max Min)

17. Text book Pg 226 #'s 1-3 (Max Min Problems)

18. 3 old Free Response problems on Related Rates

19. Related Rates problems from text Pg251-254 #'s 13,16,19,36,37

20. Mean Value Theorem Hand out  of problems from old book

21. Mean Value Theorem  From new book  Pg202-204 #'s 1,2,3,4,6,53

                                                                  1. c=1/2

                                                                   2. c=8/27

                                                                   3. Explain why conditions are not met

                                                                   4. explain why conditions are not met

                                                                   6. c=2.820

                                                                   53. A

22. Rectilinear Motion problems back of Albany trip

23. Rectilinear Motion Pg.136 #'s 9,10,11,13,16,19,20

24. Mid Term

                25. Indefinite Integration (antidifferentiation) 20 problems on front of the handout

                26. After lecture on U-substitution do circled problems on the back of the handout

                    Number 7 is to the fourth power!             

             27. Do the following problems (answers included)

              28. Do the following problems

          29. Do the take home test on definite integration. See you next week!

           30. Do take home on the oil spill.

           31. Do handout on 3 old AP problems.

32. Pg 395-396 #'s 5,9,13,14 (8 and 1/6),15 and #4(4/3) about the y axis

Areas andVolumes

             33. Pg 407 #'s 11-19 odds

             34. Pg 407 #'s 23 and 25

             35. Front of handout all 5 sections

             36. Back of handout "AP Free response problem#2 from 1996

                    try a and b.

37. FTOC Part2 Handouts -Do first page on gasoline useage

              38. Do FTOC  AP problems-Get ready for FTOC test

               39. Handouts on Average Value  and Rectilinear Motion

              40. First 3 DE problems

ANSWERS

       41. Three extra DE's

Handout.

14. Pg. 188 #’s 23-26

15. Pg 297-299 #’s 1-9 skip #4, and #’s 33&34

15a. Pg 306 #’s 7a,7b,9b,13,15,17 Pizza Party 19 and 21

15b. Free Response #3 From 2000

16. Do Take home assignment

17. Optimization-Review Quadratic modeling problems,

Pg.350-351 #’s 1,3,5,6,9,25

18. Related Rates-3 AP’s, Pg. 223 #’s 1,3,5,7,11,13,15,17,

20,27

19. MVT- Pg. 363 #’s 1,2,3,5,7,9,11,13,15,23,25

20. Rectilinear Motion Pg. 330&331 #’s 11-14 and 25 & 27

21. OVER CHRISTMAS Try the 20 integration problems

and do what you can also try the 1993 AP Multiple

Choice problems.

22. Indefinite Integration 20 problems on worksheet and

Pg. 385 #’s 1-9 odds and 15,17,19,25,29,41

23. U-substitution Pg 392-393 #’s 1-29 odds skip 15 and 27

24. CLICK HERE for the midterm test review

Second Semester

FTOC Part 2

 1. GasolineProblem

 2. FR 97-5,99-5,95-6

Avg. Value

 3. Pg 439 #'s 55-62 all

 4. Class handout    Practice For Average Value of a Function

                                PRACTICE PROBLEM 1 AVG. VALUE

                                PRACTICE PROBLEM 2 AVG. VALUE

                                PRACTICE PROBLEM 3 AVG. VALUE

 5. Pg 439 # 68 also find avg number of cars from 4:30 to

                         5:30 and the time when that average value

occurs

 6. AP FR 2004 #1

Rect. Motion

 7. AP CALCULUS WORKSHEET

                  RECTILINEAR MOTION_INTEGRATION

  8. Pg 436-438 #'s 9b,13b,15,20,35,39,51

9. Free Response Questions

              Hand in 2000#2 AND 2001#3

First Order Separable Differential Equations (FOSDE)

  10. First 3 practice Problems

  11. Pg. 606 #'s 15,17,20,21,27,29

  12. Old Worksheet on exponential growth and decay #'s 1,3,4,5,

  13. Extra 3 practice problems

  14. Pg. 624 #31 The Murder Problem