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Welcome to BC Calculus
2018-19
Mrs. NashAssignments: 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 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
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
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
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
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
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
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
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
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-series2/11
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
2/12-13
Ratio Test
Error Bound on Alternating Series9-#7: p. 645: 1,13,15, 17, 21, 23, 33, 51-57, 61, 70, 73
p. 637: 43-46
2/14-15
Maclaurin polynomials
9-#8: Handout2/18 2/19-20 2/21-22 2/25
Taylor Polynomial and Error Bounds (Lagrange)
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: 1,3,7,11,13,15,17,25,79,80p. 688: 23-27
2/28-3/1
More on Power Series
3/4
Ch. 9 Review
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-#123/7-8
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:
3/12-13
Parametric Equations
10-#2: p. 704: 1-8- 716: 1a-d,3*,5*,19*,20*
- 725: 1,2,3,27,30,33
*Get domain of t restrictions from the assignmnet sheet.
3/14-15
Parametric Equations - Calculus10-#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
3/26-27
Polar Area
10-#8: From Handout
Quick Check:1,2,3a-f
Exercises: 3,5,7,9-13,16-19
3/28-29
Polar Practice
10-#9: Handout Solutions4/1
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
4/4-5
Group Quiz
Ch. 10 Review
4/8
*** Spring Break ***4/9-10
*** Spring Break ***4/11-12
*** Spring Break ***
4/15
Ch. 10 Review4/16-17
Ch. 10 Test
R-#1: Handout
4/18-19
R-#2: Handout4/22 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 Exam5/16-17 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 1Monday
Tuesday
Thursday
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
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)
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: 709/18
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)
10/1
Optimization
3-#7 Continued:
35 & 36: use r = 3 for easier option.
p. 225: 33, 34, 35, 36, 39, 40, 4110/2 Local Linear Approximation and L’Hopital’s Rule
3-#8: Handout10/4
Motion - Position and Velocity
3-#9 Handout10/8
More Motion - Acceleration
& Ch. 3 Review
3-#10 Handout10/9
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, 21,27,29,3310/16
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, 9310/18
Summation Notation Opener
Definite Integrals
4-#4: p. 278: 13,17,19, 23,25, 27,29, 31, 33-38, 41,47a-e, 48cef,49cd,63,64,6810/22
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 - 6010/25
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 10/3010/30
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: 8811/1
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 differentiating11/5
Differential Equations and Slope Fields
4-#9: Handout11/6
Group Quiz
Trapezoid Method
4-#10: Chapter Review Solutions
11/8
Chapter 4-5 Test
AP Practice11/12
No School
11/13
Derivatives and Inverse Functions
Integral as Net Change FRQ’s
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
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
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
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 II12/18
6th Period Exam
1st Class
Lunch
3rd Class
5th Class
7th Class12/19
2nd Period Exam
4th Period Exam12/20
1st Period Exam
3rd Period ExamCalculus Final Part II: MC: 1 hour 45 minutes (you may start at 8:15)
12/21
5th Period Exam
7th Period Exam