• Handout Problem 1Welcome to Calculus BC
     
     Solutions to odd problems:  http://www.calcchat.com/book/Calculus-8e/
     On-line  textbook
        
     *** These assignments are shown on the date assigned and are due the next class. ***

     A note about assignment #’s:  6-#1 means “Chapter 6, Assignment #1.”  It does not necessarily come from the section 6.1 in the book. Always look at the page number to make sure you are doing the correct work.

    Semester 2
     

    Monday

    Tuesday

    Thursday

     

    1/9

    Euler’s Method - Video of Lesson

    6.1: Handout  Solutions

    1/11

    Length of Curve and Surface of Revolution:

    7.4: p. 483: 3,6,9,15,20,21,39,43,52

    No calculator on underlined

    Solutions

    1/16

    1/17

    Integration Practice and Intro to Partial Fractions

    8-#1: p. 522: 1-5,7,9,11,13,19,21, 23,28,30,31, 35, 36, 37, 41,47,53b, 67, 71*

    p. 559: 9,11,13,15

    *find antiderivative but not area

    Solutions p. 522  p. 559

    Solutions to Opener

    1/12-13

    Integration by Parts & More Partial Fractions

    8-#2:p.531: 1+,4+,11,14,16,18,20, 21*,25,27,30,31,33,38,43b,50, 51

     

    p. 559: 19, 20, 17  do atleast two

    Solutions

     

    1/22

    Integration by Parts and More Partial Fractions

    8-#3:p. 531; 13, 26, 29, 35, 58, 73-78 (for integration by parts state u and dv, for u-sub state u)

    p. 559: 21,27, 29,53,55ab

     

     

    1/24

    Improper Integrals

    8-#4: p. 585: 15,17,19, 21,27,29,67,71ab,89a

    p. 589: 10,35,49,57,63,67

    1/26

    Ch. 8 Quiz – 6.1,7.4,8#1-8#3

    AP Practice Problems

    8-#5: Handout Solutions MC Answers

    1/29

    Indeterminant Forms and L’Hopital’s Rule

    8-#6: Handout   Solutions

     

     

    1/31

    Improper Integrals

    8-#7: p. 583: copy example 9

      p. 585: 1-5, 33,37,38,39

    Sequences

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

     Solutions

    2/2

     

    Introduction to Series:  Notes from Class

    Desmos Graph used in class: Desmos

    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

     Solutions

    See Example 1b on p. 607 for 59

    2/5

    Integral Test and p-series

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

    Solutions

     

    2/7

    Opener: Handout   Solutions

    Comparison Test and

    Limit Comparison Test  notes completed

    9-#4: p. 628: 1a-c, 3*,5*,7*,15*, 19*, 29-36, 55,59,60

    *justify formally

    _____ justify intuitively

     HW: Solutions

    Quiz Practice:  Handout Solutions

     

    2/9

    Ch. 8-9 Quiz

    9-#5 Homework   Solutions

    Quiz: note page allowed – all handwritten, no examples

    8-#4 & 8-#6:  Improper Integrals

    8-#6:  Limits

    9-#1: Sequences

    9-#2: Intro to Series, Geometric, Telescoping

    9-#3: Integral Test and p-series

    2/12

    Alternating Series Test

    Conditional vs Absolute Convergence

    9-#6: p. 636: 13,15,23,27, 30, 47, 53, 55, 59, 60, 66, 71, 79-85

     

    solutions

     2/14

    Ratio Test

    Error Bound on Alternating Series

    9-#7:  p. 645: 1,13,15, 17, 21, 23, 33, 51-57, 61, 70, 73

    p. 637: 43-46

    solutions

     2/16

    Maclaurin Polynomials

    Video: Link  Watch through minute 14:22

     

    9-#8: Handout   Solutions

     2/26

    Taylor Polynomial and Error Bounds

    (Lagrange)

    9-#9: Notes and HW: Handout

    HW Solutions

     2/28

    Power Series

    Finding the domain (interval of convergence)

    9-#10: 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

     3/2

     

    More on Power Series

    Notes

    Opener   Solutions

    Classwork  Solutions

    9-#11: HW    Solutions

     

    3/5

    Review:

    9-#12: HW    Solutions

     3/7

    Opener: Video for #1

    Nash (rough draft) Summary

    Chapter 9 Review  Solutions 

    MC Answers: 1A,2E,3A,4D, 5D,6B,7C,8C
    9D,10C,11D,12E,13B,14E,15E,16C,17D
    18B,19D,20C,21B,22C,23A

    Please email me if you think any of my MC are incorrect. I will fix before posting solutions.

     3/9

    Ch. 9 Test

    Homework

     3/12

    No School

    3/14

    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 domain of t restricted. Info given in class.

     3/16

    Opener

    Parametric Equations - Calculus

    10-#3: p. 725: 5, 9 , 17, 19, 20, 21, 37, 39, 40, 43, 45 & FRQ Handout

     

    3/19

    Motion on a Line

    10-#4: Handout  solutions

    3/21

    Motion in Two-Dimensions

    Opener Solutions

    10-#5: Handout   Solutions

     3/23

    Group Quiz

    Polar Review from Pre-Calculus

    Handout

     

    3/26

    Polar Derivatives

    10-#7: Handout

     

    3/28

    Opener

    10-#8: From Handout

    Quick Check:1,2,3a-f
    Exercises: 3,5,7,9-13,16-19

    3/30

    Opener

    10-#9 Handout  Solutions

    4/2

    Logistic Functions

    Notes - Handout  

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

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

    Solutions

     

     4/4

    Logistic Functions

    10-#11

    4/6

    In Class: FRQ Full Set

    HW: R-#1: Multiple Choice  - Full Set

    SPRING BREAK

    SPRING BREAK

    SPRING BREAK

    4/16

    Ch. 10 Review  solutions

    4/18 

    Ch. 10 Test

    HW:  R-#2: All Topics Review Handout

    Solutions

    4/20

     Classwork:  Finish All Topics Review Handout from Wednesday

    HW: R-#3: Multiple Choice Practice (see email if you were absent)

     4/23

     

     4/25

     

     4/27

     

         

     

    Monday

    Wednesday

    Friday

    5/21

    Trigonometric Integrals

    #1: p. 540: 9,11,13,15,25,27,

                        31,33,35,37,41

    5/23

    Trigonometric Substitution

    #2:  p. 549: 5,9, 13,21,23,27,29, 33,35, 37,47b

    5/25

    More Partial Fractions

    #3: p. 559: 1-3,6, 13,15,19,21,28,53

    5/28

     

    5/30

    Integration by Tables

    #4: p.565: 1,3,5,11,13,14,23,27,29, 31,41

    6/1

    Matrices to solve systems

    6/4

    Determinants

    6/6

    Inverse of Matrix

    6/8

    A-7 Solutions

     

    Individual Quiz (I'm not kidding) - Integration and Matrices

     

     

     

     

    Sememster 1

    11/13

    Area Between Curves

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

     

    11/15

    Volumes with Known Cross Sections

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

    and handout

    7-#2 Answers  Solutions to book work

    11/17

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

    Opener  Answers

    7-#3: p. 463: 3, 5,7, 10, 11b,

    12ab, 25, 32, 33, 38, 47 and handout

    7-#3 Answers  Solutions to book work

     

    11/20-21  (Block Day)

    Volumes of Revolution (about any vertical or horizontal axis)

    7-#4: p. 463: 11cd, 12cd,

    13ab, 14b, 15,16,18, 19,22,

    52a & Extra shown below.
    solutions book and extra

    11/22-24

    Thanksgiving

    11/27

    Integral as Net Change

    FRQ’s

    7-#5: Handout  Solutions

    11/29

    Review:

    7-#6: Handout  Solutions

    12/1

    Quiz (Graphing Calculator Required)

    More AP Practice

    7-#8: Handout

     

     

     

    Monday

    Wednesday

    Friday

    10/16

    Antiderivatives and Indefinite

     Integration

    Video Help: Antiderivatives  Basic Integration Rules

    4-#1: p. 255: 1,2,9-15,17,19, 21,27,29,33,  & Calculator Required Multiple Choice Handout

    10/18

    More Integration, Area by

    Rectangular Approximation (Video)

    4-#2: Handout & p. 256: 35,37,39,40,41,42,55,57,59,
    61, 63, 67, 73, 79, 87, 90,
    91, 93

    Handout: Solutions

    10/20

    Limit of a Riemann Sums &

     Definite Integrals

    4-#3:Handout  Solution to #1:here  Solutions to all: here

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

    10/23

    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, 54 - 60

     

    10/25

    Motion Problems with Integration

    and Average Value of a Function

    4-#5 Handout

    10/27

    Chapter 4 Quiz

    Pratice: Solutions

    The Fundamental Theorem of Calculus (Part II)

    4-#6: p. 293: 67, 69,

                         73 – 91 odd

     

    10/30

    Integration by Substitution

    4-#8: p. 304: 9, 11, 15, 17, 19, 23,

    25, 27, 29, 33, 44, 46, 48, 51

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

     

    More Integration by

    Substitution, Change of

    Variables

    4-#9: p. 304: 16, 52, 53, 54,

    59,62, 66, 70, 75,77,78,

    79,81, 83,89, 91,105

    p. 338: 7,9,49, 51

    p.358: 87,95,99

    11/3

    Inverse Trig Integration

    4-#9:  p. 385: 1, 3, 7, 9, 11, 13, 17, 18, 21,23, 24, 25,27,29,33, 35, 41 and trapezoid handout

    4-#9: Solutions

    11/6

    Slope Field &

    Chapter Review

    4-#10: Review:  Solutions

    Error Problem #16: See below

    11/8

    Chapter 4 Test

    4-#11 Handout

    AP Practice

    11/10

     

     link

     

    Monday

    Wednesday

    Friday

    9/11

    Extrema on an Inverval

     

    9/13

    Ch. 2 Test

     

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

    9/15

    Rolle’s Theorem and the Mean Value Theorem & Increasing and Decreasing Intervals

    3-#2: p. 176-177: 39-43, 45, 46, 33, 34, 14,15, 55,56  Show a graph of f(x), secant and tangent line for 39 and 43

    p. 186: 9-14 (just show answer with a sign chart)

     

    9/19

    First Derivative Test and Concavity

    Video Help:

    1st Deriv Test

    Concavity and Infleciton

    Intervals of Concavity

    Finding an Inflection Point

    3-#3: p. 186: 19, 27, 37, 39, 45, 61, 62, 63, 71, 72

    p. 195: 1, 3, 7, 8,12, 13

    ___ justify answer

       

    9/21

     

    Staff Day

    9/22

    Concavity, Inflection Points, and the 2nd Derivative Test

     Video Help:

    Second Deriv Test

    3-#4: p. 195: 2,5, 11, 15, 20, 26, 27, 31, 37, 45, 46,50, 53,54, 60ab, 79-82     ___ justify answer

    9/25

    Limits at Infinity

    3-#5: p. 205: 3, 4, 6, 17, 19, 21, 23, 29-35, 37  & Handout

    9/27

    Curve Sketching

    3-#6: p. 215: 1,3,5abc,6, 25, 29, 7,19, 23,41, 45*, 47, 49

    3-#6 HW Answers

    Quiz Practice Solutions

    9/29

    Ch. 3 Quiz

    Optimization Problems

    Notes   Hints  Answers

    3-#7: p. 223: 5, 20, A, B, 23, 26, 27, 35, 36, 39, 40, 41, 56

    Some are very challenging.

    10/2

    Optimization Practice

    10/4

    Local Linear Approximation, Motion, and L’Hopital’s Rule

    3-#8: Handout

    10/6

    Motion

    3-#9 Handout  solutions   Desmos Graph

    10/9

    10/11

    Ch. 3 Review

    3-#10 Handout

    10/13

    Chapter 3 Test

    Graphing Calculator Skills

    3-#11: Handout

     

     

     

    Monday

    Tuesday/Wednesday

    Thursday/Friday

     

    Wednesday 8/23

     

     

     

     

     

     

    8/25

    Continuity, One-Sided Limits, Intermediate Value Theorem:

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

    Derivative Practice (do at least half)

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

     

    8/28

    Implicit Differentiation

    2-#2: p. 146: 4, 5, 7, 8*, 11, 24, 25, 28, 30, 38,48, 51, 57

     Desmos Graph

    Optional Deriv Practice

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

    8/30

    Quiz on Derivatives – through Chain Rule

    More Implicit, Related Rates

    2-#3: p. 154: 1ab, 5ab, 15a, 18a, 19a, 22a, 23,24,27a(just 7)bc

    p. 146: 15, 16, 48,49

    9/1

    More Related Rates, Derivative of Natural Log

    2-#4: p. 154: 15a, 26a, 28, 31ab, 35ab, 36,43

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

     

    9/4

     

     

     

     

    9/6

    Derivative of Exponentials and Differentiability

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

     

    and Handout

    9/8

    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

    9/11

    TBA

    9/13

    Chapter 2 Test