• Welcome to BC Calculus
    2018-19
    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/Wednesday

     Thursday/Friday

     

     

    1/9 (Wednesday)

     

    Euler’s Method

    6.1: Handout  Solutions to front of handout

     

    1/10-11

    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 53b, 67,

    p. 559: 9,11,13,15

     Solutions

    1/14

    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

     1/15-16

    Integration by Parts & More Partial Fractions

    8-#2:p.531: 11,14,16,18,20, 25,27,30,31,33,38,43b

    p. 559: 19, 20, 17

    Solutions

     1/17-18

    Integration by Parts and More Partial Fractions

    8-#3:p. 531;13, 26, 29, 35, 51, 58,  73-78 (for integration by parts state u and dv, for u-sub state u)

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

    Solutions
    1/21

     1/22-23

    Improper Integrals

    8-#4: p. 585: 16,17,25,29, 67, 71ab,89a

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

     Quiz Practice    Solutions

    1/24-25

    Quiz #1– 6.1,7.4, 8#1 – 8#3

    AP Practice Problems

    8-#5: Handout  Solutions

    1/28

    Indeterminant Forms and L’Hopital’s Rule

    8-#6: Handout

    1/29-30

    Improper Integrals:

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

    p. 585: 1-5, 33,37,38,39, 48*

    Sequences:

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

    1/31-2/1

    Series:  Convergence and  Divergence

    Geometric and Telescoping

    Class Notes  HW Solutions

    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

    2/4

    Integral Test and p-series

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

    solutions

    2/5-6

    Comparison Test and

    Limit Comparison Test

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

         *justify formally

           justify intuitively

    9-#4 Solutions

    Quiz Practice   solutions

    video help: Fire Fly Math Calculus II 

    2/7-8

    Test 

    9-#5: Handout – AP Practice

    9-#5 Canceled, 9-#4 due Monday.  Be sure to justify your answers appropriately on 9-#4. See solutions for a sample.

    Test: note page allowed – all handwritten
    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
    2/11

    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

    2/12-13

    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

    		 2/14-15

    Maclaurin polynomials

    9-#8: Handout
    2/18 2/19-20 2/21-22
    2/25

    Taylor Polynomial and Error Bounds  (Lagrange)

     

    9-#9: Notes and HW: Handout  Solutions

    		 2/26-27

    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

    		 2/28-3/1

    More on Power Series

     

    9-#11: Handout  Solutions MC  FRQ
    3/4

    Ch. 9 Review

    9-#12: Handout   Solutions

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

     

    		 3/5-6

    Ch. 9 Group Quiz

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

    Finish 9-#12    		 3/7-8

    Ch. 9 Test

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

     10-#0: Handout FRQ Practice

    3/11

    Taylor Practice:

    10-#1: Handout    Solutions

    3/12-13

    Parametric Equations


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

    1. 716: 1a-d,3*,5*,19*,20*
    2. 725: 1,2,3,27,30,33

     *Get domain of t restrictions from the assignmnet sheet.

    Solutions

    3/14-15

    Parametric Equations - Calculus

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

     

     

    3/18

    Motion on a Line

     10-#4: Handout 

    3/19-20

    Motion in Two-Dimensions

     10-#5: Handout  

    		 3/21-22

    Quiz

    Polar Review from Pre-Calculus

    10-#6: Handout

    3/25

    Polar Derivatives

    10-#7: Handout   

    answers and solutions to p2

    3/26-27

    Polar Area

    10-#8: From Handout

    Quick Check:1,2,3a-f

    Exercises: 3,5,7,9-13,16-19

    Solutions

    		 3/28-29

    Polar Practice

    10-#9: Handout  Solutions
    4/1

    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

    		 4/2-3

    Logistic Functions  Notes

     

    10-#11: Handout    		 4/4-5

    Group Quiz

     Ch. 10 Review

     10- #12: Handout   solutions
    4/8

     *** Spring Break  ***    		 4/9-10

     *** Spring Break  ***

    4/11-12

     *** Spring Break  ***
    4/15

    Ch. 10 Review

    		 4/16-17

    Ch. 10 Test

     R-#1: Handout

    		 4/18-19

    R-#2:  Handout
    4/22 4/23-24 4/25-26
    4/29  4/30-5/1 5/2-3
    5/6 5/6-7 5/8-9
    5/13 5/14-15

    AP Calculus Exam

    		 5/16-17
    5/20 5/21-22 5/23-24
    5/27 5/28-29 5/30-31
    6/3 6/4-5 6/6-7
    6/10-11  612-13  
     
     
    Semester 1 

     Monday

    Tuesday

     Thursday

    Spring/Summer Assignments

    Quiz 3

    Quiz 4

     

    8/22 (Wednesday)

    Please try this assignment prior to class on Thursday. It is okay if you need help on some problems on Thursday.

     Post-Summer Warmup Handout

    8/23

    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

    8/27

    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

    8/28

    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

    		 8/30

    More Related Rates, Derivative of Natural Log

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

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

     Solutions

    9/3

     

    Labor Day

     

    9/4

    Derivative of Exponentials and Differentiability

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

    and Handout

    9/6

    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

    9/10

    Extrema on a Closed Interval

    2-#7:  Review for Ch. 2 Test Handout (available Friday 9/7)

    Solutions

    9/11

    Chapter 2 Test

    Extrema on a Closed Interval HW

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

    9/13

    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. 330: 85
    p. 357: 70

    9/18

     

    Holiday

     

     

     

    9/20

    Rolle’s Theorem and the Mean Value Theorem

    Videos: Rolle's Theorem, Rolle's Example, Mean Value Theorem, MVT Example

    3-#4: p. 176: 11,14, 15, 33,34, 39*, 40, 41, 42, 43*, 45, 46, 55
    p. 186: 14, 15
    p. 330: 84

    *Show a graph of f(x), secant and tangent line for 39 and 43
    9/24

    2nd Derivative Test

    3-#5: p. 195: 9, 12, 13, 24, 27, 31, 37, 80-82  and
    A, B (see assignment sheet)

    		 9/25

    Curve Sketching

    Opener

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

    Handout – Quiz Practice, solutions

    		 9/27

    Ch. 3 Quiz on Assingnments  #1-#5

    Optimization Problems

    3-#7: p. 223:20,21,A,B,23,24,27

     A & B (see assignment sheet)

    Solutions
    10/1

    Optimization

    3-#7 Continued:
    p. 225: 33, 34, 35, 36, 39, 40, 41

    Solutions

     35 & 36: use r = 3 for easier option.    		 10/2

    Local Linear Approximation and L’Hopital’s Rule

    3-#8: Handout    		 10/4

    Motion - Position and Velocity

    3-#9 Handout
    10/8

    More Motion - Acceleration

    & Ch. 3 Review

    3-#10 Handout

    10/9

    Ch. 3 Review  Solutions

    10/11

    Chapter 3 Test

    Graphing Calculator Skills

    3-#11: Handout
    10/15

    Antiderivatives and Indefinite Integration

    4-#1: p. 255: 1,2,9,11-15,17,19, 21,27,29,33    		 10/16

    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    		 10/18

    Summation Notation Opener

    Definite Integrals

    4-#4: p. 278: 13,17,19, 23,25, 27,29, 31, 33-38, 41,47a-e, 48cef,49cd,63,64,68
    10/22

    Limit of a Riemann Sums

    4-#3: Handout (not last 3 problems)

    		 10/23

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

    4-#5: p. 291:5,6,7,11,13,15,21,27, 29, 30, 31,37, 39,40, 47, 54 - 60

    		 10/25

    Motion Problems with Integration

    4-#6: Handout (due Tue 10/30)

    (also Quiz Practice Available)
    10/29

    Chapter 4 Quiz

    4-#6: Handout given out 10/25 is due 10/30    		 10/30

    Integration by Substitution

    The Fundamental Theorem of Calculus (Part II)

    4-#7: p. 304: 9, 11, 15, 17, 19, 23, 25, 27, 29, 33, 44, 46, 48, 51

    p. 338: 1,5 p. 358: 88    		 11/1

    More Integration by Substitution, Change of Variables

    4-#8: p. 304: 53,55,63*,66,74,

                 75,77, 81, 105,106ab

         p. 338: 7.9.19.29.49.50.52

    *Check answer by differentiating
    11/5

    Differential Equations and Slope Fields

    4-#9: Handout    		 11/6

    Group Quiz

    Trapezoid Method

    4-#10: Chapter Review  Solutions

    		 11/8

    Chapter 4-5 Test

    4-#11 Handout  Solutions

    AP Practice

    11/12  

    No School

    11/13

    Derivatives and Inverse Functions

    Integral as Net Change FRQ’s

    7-#0: Handout    solutions

    11/15

    Area Between Curves

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

    (handout frq accumulated area)

    11/19

    No School

    11/20

    No School

    11/22

    No School

    11/26

    Volumes with Known Cross Sections

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

    and handout   answers  solutions

    11/27

    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

    11/29

     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)

    12/3

    Integration and/or Differential Equaitons

    7-#5: Handout

    12/4

    Differential Equations Practice 

    Review

    7-#6: Handout     Solutions

    12/6

    Quiz (Graphing Calculator Required)

     7-#8: Full Set of FRQ

    12/10

     

    12/11

     

    12/13

     Calculus Final Exam

    Part I: FRQ 90 minutes

    (you may start at 8:00 am)

     

    12/17

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

    12/18

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

    12/19

      2nd Period Exam
      4th Period Exam

     

    12/20

      1st Period Exam
      3rd Period Exam

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

    12/21

      5th Period Exam
      7th Period Exam