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Welcome to BC Calculus
2019-20
Mrs. Nash
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 textbookSolutions to odd problems: http://www.calcchat.com/book/Calculus-8e/Semester 2Monday
Tuesday
Thursday
1/8 (Wednesday)
Euler’s Method
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
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)
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)
1/20
1/21
Improper Integrals
Review for Quiz*:
8-#5: Handout
*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
1/27
Improper Integrals:
8-#7: 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
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
Integral Test and p-series
9-#3: p. 620: 1,3,5,21,25,27,29, 33,83,84,85,87,88,89
2/3
Review
9-#4: Handout
2/4
Quiz
9-#5: Handout – AP Practice
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
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
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
2/13
Maclaurin polynomials
9-#9: Handout - AP Practice
#9 Solutions
and Take-Home Quiz
(10 MC Questions)
* 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…
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
2/27
More on Power Series
& Lagrange Error Bound
9-#12: HW Handout Calculator required on problem #14.
3/4
Ch. 9 Review
9-#13: Handout
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-#133/7
Ch. 9 Test
Note sheet allowed: One-side 8.5 by 11 inch. No content restrictions.
More Taylor Practice
10-#1: Handout
3/9
Assigned Today:
Polar Review:
10-#Polar: Handout
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
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: Handout3/23
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: Handout3/30 (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: Handout4/2 (90 minutes)
Group Quiz
Ch. 10 Review
10-#12: HandoutSpring 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 1Monday
Tuesday
Thursday
8/21 (Wednesday)
Complete this assignment prior to class on Thursday 8/22
Summer HW: Handout
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
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
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
8/29
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
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
9/10
Extrema on a Closed Interval
2-#8: Review for Test
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, 15,169/19
Mean Value Theorem
3-#4 Handout
9/23
2nd Derivative Test
3-#5: p. 195: 9, 12, 13, 24, 27, 31, 37, 80-82
9/24
Curve Sketching
Opener
3-#6: p. 215: 1,3,5abc,6, 7, 23, 25, 27, 29 Solutions
Handout – Quiz Practice, solutions
9/26
Ch. 3 Quiz on Assignments #1-#5
Local Linear Approximation and L’Hopital’s Rule
3-#7: Handout
9/30
Optimization Problems
3-#8: p. 223:20,21,A,B,23,24,27
A & B (see assignment sheet)
10/1 Optimization
3-#9 Continued:
p. 225: C, 33, 34, 35, 36, 39, 40, 4135 & 36: use r = 3 for easier option.
10/3
Motion - Position and Velocity
3-#10 Handout
10/7
Acceleration
Ch. 3 Review
3-#11 Handout
10/8
Holiday10/10
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
10/24
Motion Problems with Integration
4-#6 Quiz Practice
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
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
11/5
Trapezoid Method
4-#10: Chapter Review
11/7
Chapter 4 Test
AP Practice11/11
No School
11/12
Derivatives and Inverse Functions
Integral as Net Change FRQ’s
11/14
Area Between Curves
7-#1: p. 452: 3,5,6,7,8, 13b,17, 25,27,29,44 and handout
(handout frq accumulated area)
11/18
Volumes with Known Cross Sections
7-#2: p. 465: 61ab, 62abcd, 63ab
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
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
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
12/10
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 II12/17
6th Period Exam
1st Class
Lunch
3rd Class
5th Class
7th Class12/18
2nd Period Exam
4th Period Exam12/19
1st Period Exam
3rd Period ExamCalculus Final Part II: MC: 1 hour 45 minutes (you may start at 8:15)
12/20
5th Period Exam
7th Period Exam
