• 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 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 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 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 9-#11: HW    Solutions 3/5 Review: 9-#12: HW    Solutions 3/7 Nash (rough draft) Summary MC Answers: 1A,2E,3A,4D, 5D,6B,7C,8C9D,10C,11D,12E,13B,14E,15E,16C,17D18B,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 TestHomework 3/12 No School 3/14 Parametric Equations 10-#2: p. 704: 1-8p. 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-fExercises: 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, 4Solutions 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 11/17 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 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 Chapter Review 4-#10: Review:  Solutions Error Problem #16: See below 11/8 Chapter 4 Test 4-#11 Handout AP Practice 11/10

 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 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 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