• Welcome to BC Calculus
    2019-20
    Mrs. Nash
    tile

     Assignments:  All assignments are shown on the day assigned and are due the next class period. You are required to complete all problems correctly and check your answers. Please mark each problem correct or incorrect after your first attempt. Use pencil for your first attempt and erase any minor errors. Do any corrections of more major errors in a contrasting color.  

     
    On-line  textbook
    Solutions to odd problems:  http://www.calcchat.com/book/Calculus-8e/
     
     
    Semester 2 

     Monday

    Tuesday

     Thursday

     

     

    1/8 (Wednesday)

    Euler’s Method

    6.1: Handout  Solutions

    1/9

    Opener: Differential Equations 

    Lesson: Partial Fractions and General Integration Practice

    8-#1: Handout solutions

    1/13

     Indeterminate Forms and L’Hopital’s Rule:

    8-#2: Handout

    1/14

    Integration by Parts & More Partial Fractions

    8-#3: p.531: 11,14,16,18,20, 25,27,30,31,33,38,43b

    and Handout

    Solutions

     

    1/16

    More Integration by Parts and Length of Curve:

    8-#4:p. 531;13, 26, 29, 35,58,73-78 (on 73-78, for integration by parts state u and dv, for u-sub state u)

    solutions

    p. 483: 3,6,9,15,20,21 (calculator allowed on all, but 3,6,9 can be done without a calculator for a challenge)

    solutions 

    1/20

     

    1/21

    Improper Integrals

    Review for Quiz*:

    8-#5: Handout 

    solutions

    *Also on Quiz: Differential Equations – state domain of particular solution.

    1/23

    Quiz

    Improper Integrals

    8-#6: p.585:16,17,21,29,67, 

           71ab,89a

             and Handout

    solutions

    1/27

    Improper Integrals:

    8-#7: p. 585: 1-5, 33,37,38,39

     solutions

    Sequences:

    9-#1: p. 602: 1,2,3,5,15-20, 31,33,35,37,39, 41

    solutions

     

    Series:  Convergence and  Divergence

    Geometric and Nth Term Test

    9-#2: p.612: 1,4,7,11,17,19,25,39, 41,43,45, 51,53,57,59,61,63,65,66, 67,77,117, 120

    See Example 1b on p. 607 for 59

    Solutions

    Integral Test and p-series

    9-#3: p. 620: 1,3,5,21,25,27,29, 33,83,84,85,87,88,89 

    Solutions

    2/3

    Review

    9-#4: Handout

    Solutions

     

    2/4

    Quiz

    9-#5: Handout – AP Practice

    Solutions 

    2/6

    Comparison Test and Limit Comparison Test

    9-#6: p. 628: 1a-c, 3*,5*,7*,15*, 19*, 29-36, 55,59,60

    *justify formally

    justify intuitively 

    Solutions

     

    2/10

    Alternating Series Test

    Conditional vs Absolute Convergence

    9-#7: p. 636: 13,15,23,27, 30, 47, 53, 55, 59, 60, 66, 71, 79-85

    Solutions

     

    2/11

    Ratio Test

    Error Bound on Alternating Series

    9-#8:  p. 645: 1,13,15, 17, 21, 23, 33, 51-57, 61, 70, 73

    p. 637: 43-46 

    Solutions

    2/13

    Maclaurin polynomials

    9-#9: Handout - AP Practice

    #9 Solutions 

    and Take-Home Quiz 

    (10 MC Questions)

    solutions

    * I don't know how to justify the correct answer for #10 on the take-home quiz.

         

    2/24

    9-#10:  Taylor Series and Polynomials

    p. 656: 5,7,13,15,17-20,27,29,41,43

    On #15 do problem with two methods…

    Solutions

    a) By taking repeated derivatives of

    b) By find the Taylor series for e^x and then substituting in 2x for x.

    * Be sure both methods give the same result.

    2/25

    Power Series

    Finding the domain (interval of convergence) 

    9-#11: Ignore book's instructions: Find interval of convergence, center and radius for each:

    p. 666: 1,3,7,11,13,15,17,25,79,80

    p. 688: 23-27 

    solutions

    2/27

    More on Power Series

    & Lagrange Error Bound

    Opener 

    Note Sheet

    9-#12: HW Handout   Calculator required on problem #14.

    MC Solutions

     

     

     

    3/4

    Ch. 9 Review

    9-#13: Handout

    Solutions

    Also: Make note sheet that you can use on group quiz and test.

    3/5

    Ch. 9 Group Quiz

    Note sheet allowed: One-side 8.5 by 11 inch. No content restrictions.

    Finish 9-#13 

    3/7

    Ch. 9 Test

    Note sheet allowed: One-side 8.5 by 11 inch. No content restrictions.

     

    More Taylor Practice

    10-#1: Handout 

    Solutions

     

    3/9

     

    Assigned Today:

    Polar Review:

    10-#Polar:  Handout

    Solutions

    3/10

    Parametric Equations

    10-#2: p. 704: 1-8

    p. 716: 1a-d,3*,5*,19*,20*

    p. 725: 1,2,3,27,30,33

    *get intervals to t from classmate

    Solutions

     

    3/12

    Parametric Equations - Calculus

     

    10-#3: p. 725: 5, 7, 9 , 17, 19, 20, 37, 39, 40, 43, 45 & FRQ Handout 

    3/16

    Review: Motion on a Line

    10-#4: Handout  

    3/17

    Motion in Two-Dimensions

     10-#5: Handout    

    3/19

    Quiz

    AP Practice

    10-#6: Handout 

    3/23

    Polar Derivatives

    10-#7: Handout

     

    3/24

    Polar Area

    10-#8: From Handout

    Quick Check:1,2,3a-f

    Exercises: 3,5,7,9-13,16-19
     

    3/26

     

    Polar Practice

    10-#9: Handout 
     

    3/30  (40 minutes)

    Logistic Functions

    10-#10: p. 430: 67-72, 73abd, 74abd, 75, 77, 79abce

     

    Review: Solve the differential equation by separating variables: p. 429: 1, 3, 4

    3/31   (50 minutes)

     

    Logistic Functions

     

    10-#11: Handout 

    4/2   (90 minutes)

     

    Group Quiz

     

    Ch. 10 Review

     

    10-#12: Handout 
     Spring Break  Spring Break   Spring Break 
     

    4/13

    Ch. 10 Review

     

    Ch. 10 Test

    R-#1: Handout 

    4/16

    R-#2:  TBA 

     4/20 4/21  4/23
    4/27 4/28 4/30
    5/4

    5/5

    AP Calculus Exam 8 AM

     
     
     
     
     
     
    Semester 1 

     Monday

    Tuesday

     Thursday

    Spring Assignments

     

    8/21 (Wednesday)

    Complete this assignment prior to class on Thursday 8/22

     Summer HW: Handout

    Hints

    8/22

    Continuity, One-Sided Limits, Intermediate Value Theorem:

    2-#1: p.78: 1,3,5, 7, 11, 12, 15, 17, 18, 57, 59, 76, 83

    Derivative Practice (do at least half – check answers in book)

    p. 158: 11, 15-29odd, 43-51odd, 67, 71,73, 91, 93

    Solutions to p. 78 and p. 158

    8/26

    Implicit Differentiation

    2-#2: p. 146: 4, 5, 7, 8, 11, 25, 26 28, 38,48, 51, 57

     note: 25 & 38 use same equation

    Optional Deriv Practice

    p.137: 9,17,25,29,43,51,85,87,89

    Solutions

    8/27

    Quiz on Derivatives – through Chain Rule

    More Implicit, Related Rates

    2-#3: p. 154: 1ab, 5ab, 15a, 18a, 19a, 22a, 23,24,27a*bc
    p. 146: 15, 16, 48,49

    *on 27a just use 7 feet and skip, 15 feet and 24 feet

    solutions

    8/29

    More Related Rates, Derivative of Natural Log

    2-#4: p. 154: 26a, 28, 31ab, 35ab, 36,43

    solutions

    p. 329: 8, 9, 25, 30, 41, 48, 51, 56, 57, 59, 63, 64, 71ab, 77, 78

    solutions

    9/2

     

    Labor Day

     

    9/3

    Derivative of Exponentials and Differentiability

    2-#5: p. 356:33,35,37,38,41,49, 55, 57,60

    and Handout

    9/5

    Derivative of Logs, Exponentials,  Inverse Trig Functions

    2-#6: p. 366: 37,39, 40, 43,45, 49,51,53      

    p.377: 5,7,12,19,21,22,41,43,46, 47,48,49,65,89

    9/9

    More Practice

    2-#7:  More Related Rates Practice

    solutions 

     

    9/10

    Extrema on a Closed Interval

    2-#8:  Review for Test 

     

    solutions 

    9/12

    Chapter 2 Test

     

    3-#1: p. 169: 1, 13,15,17, 18,19, 21,25,29,34,36,53,54

     

    9/16

     

    Increasing /Decreasing Intervals

    First Derivative Test

    3-#2: p. 186: 6, 9, 12, 19, 27, 37, 39, 45, 61, 63, 71, 72

     

     

     

    9/17

     

    Concavity and

    Inflection Points

    3-#3: p. 195: 1,2,3,5, 7, 8, 11, 15, 20, 26, 45, 46,53, 54, 60ab
    p. 186: 14, 15,16

    Solutions

     

     

     

    9/19

     Mean Value Theorem

     

     

    3-#4 Handout

    Solutions

     

    9/23

    2nd Derivative Test

    3-#5: p. 195: 9, 12, 13, 24, 27, 31, 37, 80-82  

    Solutions

    9/24

    Curve Sketching

    Opener

    3-#6: p. 215: 1,3,5abc,6, 7, 23, 25, 27, 29  Solutions

    Handout – Quiz Practicesolutions

    9/26

    Ch. 3 Quiz on Assignments  #1-#5

     

    Local Linear Approximation and L’Hopital’s Rule

    3-#7: Handout

    Solutions

     

    9/30

     Optimization Problems

    3-#8: p. 223:20,21,A,B,23,24,27

     A & B (see assignment sheet)

    Solutions

     

    10/1

    Optimization

    3-#9 Continued:
    p. 225: C, 33, 34, 35, 36, 39, 40, 41

    Solutions

     35 & 36: use r = 3 for easier option.

    10/3

    Motion - Position and Velocity

    3-#10 Handout

    solutions

    10/7

    Acceleration

    Ch. 3 Review

    3-#11 Handout

      Solutions

    10/8

    Holiday

     

    10/10

    Chapter 3 Test

    Graphing Calculator Skills

    3-#12: Handout

    10/14

    Antiderivatives and Indefinite Integration

    4-#1: p. 255: 1,2,9,11-15,17,19, 21,27,29,33

    10/15

    More Integration, Area by Rectangular Approximation

    4-#2: Handout &

    p. 255: 35,37,39,40,41,42,55,63, 67, 73, 79, 87, 90, 91, 93

    10/17

    Summation Notation Opener

    Definite Integrals

    4-#3: p. 278: 13,17,19, 23,25, 27,29, 31, 33-38, 41,47a-e, 48cef,49cd,63,64,68

    10/21

    Definite Integrals and the Fundamental Theorem of Calculus (Part I)

    4-#4: p. 291: 5,6,7,11,13,15,21,27, 29, 30, 31,37, 39,40

    10/22

    Average Value of a Function

    Limit of a Riemann Sums

    4-#5: Handout and

              p. 291: 47, 54 - 60

    Handout Solutions

    10/24

    Motion Problems with Integration

     

    4-#6 Quiz Practice

    Solutions

    10/28

    Chapter 4 Quiz

     

    4-#7: Handout (Motion with Integration)

    10/29

     

    10/31

    Integration by Substitution

    The Fundamental Theorem of Calculus (Part II)

    4-#8: p. 304: 9, 11, 15, 17, 19, 23, 25, 27, 29, 33, 44, 46, 49, 51

    p. 338: 1,5 p. 358: 88

    Solutions 

    11/4

    More Integration by Substitution, Change of Variables

    4-#9: p. 304: 53,55,63*,66,72,

                 75,77, 81, 105,106ab

         p. 338: 7,9,19,29,49,50,52

    *Check answer by differentiating

    Solutions

    11/5

    Trapezoid Method

    4-#10: Chapter Review  

    Solutions

    11/7

    Chapter 4 Test

    4-#11 Handout  Solutions

    AP Practice

    11/11  

    No School

    11/12

    Derivatives and Inverse Functions

    Integral as Net Change FRQ’s

    7-#0: Handout    solutions

    11/14

    Area Between Curves

    Notes  Video

    7-#1: p. 452: 3,5,6,7,8, 13b,17, 25,27,29,44 and handout

    (handout frq accumulated area)

    Solutions

    11/18

    Volumes with Known Cross Sections

    7-#2: p. 465: 61ab, 62abcd, 63ab

    and handout   answers  solutions

    11/19

    Volumes of Revolution (about x-axis and y-axis)

    7-#3: p. 463: 3, 5,7, 10, 11b, 12ab, 25, 32, 33, 38, 47 and handout

    solutions   Handout solutions

    11/20

    Volumes of Revolution (about any vertical or horizontal axis)

    7-#4: p. 463: 11cd, 12cd,13b,  15,16,18, 19, 52a & handout

    solutions (including handout)

    11/25

     

    11/26

     

    11/28

     

    12/2

    Inverse Trig Integration 

    7-#5: p. 385: 1,3,7,9,11,13,18,21,23,24,25, 27,29,31,41

    Solutions

    12/3

    Differential Equations and Slope Fields

    Desmos: slope field

    7-#6 Handout (in class) 

    7-#7: Quiz Practice  Solutions

    12/5

    Quiz (Graphing Calculator Required)

     7-#8: Full Set of FRQ

    12/9

    R1 Handout

    Solutions

     

    12/10

    R2 Solutions 

    12/12

     Calculus Final Exam

    Part I: FRQ 90 minutes

    (you may start at 8:00 am)

     

    12/16

      2nd Class
      4th Class
      Lunch
      6th Class
      Tutorial I
      Tutorial II

    12/17

      6th Period Exam
      1st Class
      Lunch
      3rd Class
      5th Class
      7th Class

    12/18

      2nd Period Exam
      4th Period Exam

     


    12/19

      1st Period Exam
      3rd Period Exam

      Calculus Final Part II: MC: 1 hour 45 minutes (you may start at 8:15)

    12/20

      5th Period Exam
      7th Period Exam