10.6 Reviewap Calculus



LINK TO SCREENCAST LESSON VIDEOS HERE!!!

Hillgrove — AP Calculus BC — Spring 2018. 3 Class Meetings 1/8 4 1/9 5 1/10 6 MLK Day 1/11 7 1/12. AP Review AP Chemistry Exam AP Review AP Review AP Review.

AP Calculus AP Summer Assignment Answers How To Guides New Page Calendar of Events. 10.6 - went over function library and did scavenger hunt (review notes #1. 10.6 Disks and Washers 10.6.1 Solids of Revolution 10.6.2 The Disk Method along the y-Axis 10.6.3 A Transcendental Example of the Disk Method 10.6.4 The Washer Method across the x-Axis 10.6.5 The Washer Method across the y-Axis 10.7 Shells 10.7.1 Introducing the Shell Method. Chapter 8: Polar Calculus. Home Distance Learning Info Assignments & Videos Mr. Math Problem Solver (all calculators).; Relyea, Rick, ISBN-10:, ISBN-13: 978-1-46410-868-6, Publisher: W. Calculus compared to Precalculus. 1 Approximating Areas. 2 Review Questions) AP Chemistry 1 Text: Section 5. Pdf from MATH 9 at Austin Community College. Review how an electric force behaves between like or opposite charges, and its dependence on separation distance and charge magnitude. Compare the electric force and gravitational force.

LINKS TO OLD TESTS HERE!!!!

The topics below are both AB and BC topics. The topics preceded with an asterisk (*) are BC only topics. All documents are .pdf

Course Info:

10 6 review ap calculus multiple choice

1st Day Handout: Parent/Student Letter

1st Day Homework: Academic Integrity, Parent Survey, Student Survey

AP Calculus Syllabus: AB, BC

Open House Info: AB & BC, Bingo, & Schedule

AP Calculus Survival Guide

Getting Ready:

10 6 Review Ap Calculus College Board

Appendix: Precalculus stuff to know cold (Notes)

Appendix: Parent Function Catalog (Notes)

Appendix: The Unit Circle (Notes)

Spleen: Prerequisite Algebra Skills (WS/KEY)

Chapter P: Calculus Prerequisites

P.1 What is AP Calculus? (Notes)

P.2 Parent Functions (Notes, WS/KEY)

P.3 Simplifying Expressions (Notes, WS/KEY)

P.4 Equations of Lines (Notes, WS)

Review

P.5 Domain, Range, and Symmetry (Notes, WS)

P.6 Fun with Functions (Notes, WS)

P.7 Trigonometry (Notes, WS)

Chapter 1: Limits

1.1 Limits & Continuity (Notes/E01/E02-06/E07-09/E010-11/E11-12a/E12b-13, WS/KEY)

1.2 Properties of Limits (Notes/E01-02/E03/, WS/KEY)

1.3 Limits at Infinity (Notes/E01-02/E03-04/E04intro/E04-05/E06-07/, WS/KEY)

1.4 Algebraic Limits (Notes/E01-06/E07/E08-12a/E12b-13a/E13b-15d/E15e-h/E15i-16e/E16/, WS/KEY)

1.4 Xtra Practice (WS/KEY)

1.5 Continuity on Intervals & IVT (Notes/E01-03/E03-06b/E6-10/, WS/KEY)

Chapter 2: Differentiation

2.1 Tangent Line & Differentiability (Notes/E01/E01-03/E04-06/E07-09/E10/E11-13/E12-14, WS/KEY)

2.2 Derivatives on the Calculator (Notes/EA/, WS/KEY)

2.3 Basic Differentiation Rules (Notes/E01-06/E07-10/E10-12/E11-12/E13/, WS/KEY)

2.4 Product & Quotient Rules (Notes/E01/E02-03/E04/E05-08/E08-10/E11/, WS/KEY)

2.5 Rates of Change and Particle Motion I (Notes/E01-05/E06/E07-08/E09/, WS/KEY)

2.6 The Chain Rule (Notes/E01a/E01b-f/E01g-04/E05-08/, WS/KEY)

2.7 Implicit Differentiation (Notes/E01-03/E03-06/07a-c/07d-09/E10/, WS/KEY)

2.8 Derivatives of Inverse & Inverse Trig Functions (Notes/E01/E02-03/E4-9/E08-10/E11-13/, WS/KEY)

2.9 Derivatives of Exponential Functions (Notes/E01/E02-05c/E05d-e/E06-07/E08-10/, WS/KEY)

10.6 Reviewap Calculus

2.10 Derivatives of Log Functions & LOG DIFF (Notes/E01-06/E07-12/, WS/KEY)

Chapter 3: Applications of Differentiation

3.1 Extrema on an interval (Notes/E1-3/E4-6/E7-8/E9/E10-11/, WS/KEY)

3.2 Rolle's Theorem and the MVT (Notes/E1-2/E3-5/E6/E7/, WS/KEY)

3.3 Increasing, Decreasing, and 1st Derivative Test (Notes/E1-2/E3/E4-5/E6-7/E8/, WS/KEY)

3.4 Concavity and the Second Derivative Test (Notes/E1-2/E3-4a/E4b-c/E4d-e/E4f-6c/E6d-7d/E7e-8/, WS/KEY)

3.5 f, f ', and f '(Notes/E1-2b/E1/E2/E3-4/, WS/KEY)

3.5B Summary Sheet (Notes)

3.6 Optimization (Notes/E1/E1-2/E2-6/E6-9/E10-11/E13-14/, WS/KEY)

10 6 review ap calculus multiple choice

3.7 Linearization and Differentials (Notes/E1-2/E3-6, WS/KEY)

3.8 Related Rates (Notes/E1-3/E4-5/E6-7/E8-11/, WS/KEY)

Chatper 4: Integration

4.1 Antiderivatives and Indefinite Integration (Notes/E1-3/E4/E5-6d/E6e-f/, WS/KEY)

4.1B Basic Differentiation Practice (WS/KEY)

4.1C Mixed AP MC Review (WS)

4.2 Numeric Definite Integrals (Notes/E1/E2a-c/E2d-3/E4-7/E8-9/E10-13/E14/, WS/KEY)

4.3 The FTOC I & II and MVT II (Notes/E1/E1b-4/E5-9a/E8-11/E12-13/E14-17/E18-20/E21/, WS/KEY)

4.4 Integration by u-Substitution (Notes/E1-4/E3-8/E9-13/E13-18b/E18b-24a/E24bce/E24d-25/E24c-e/E25-26, WS/KEY)

Chapter 5: Differential Equations & Modeling

5.1 Separable Differential Equations (Notes/E1-3/E4-8/E9-12/, WS/KEY)

5.2 Slope Fields (Notes/E1-7/E8-17/, WS/KEY)

10 6 review ap calculus multiple choice

5.2B Mega Integration Practice (AB methods) (WS)

5.3 *Euler's Method (Notes/E1a/E1b-4/, WS/KEY)

5.4 *Integration by Parts (Notes/E1-8/E8-12/E12-13/, WS/KEY)

5.5 *Partial Fractions & Logistic Growth (Notes/E1-3/E4-8b/, WS/KEY)

Chapter 6: Applications of Integration

6.1 Integral as Net Change (Notes/E1-3/E4-5/E6-7/E9, WS/KEY)

6.2 Area between Curves (Notes/E1-5/E4-7a/E5-7/E8/, WS/KEY)

6.3 Volumes (Notes/E1-4/E4-7c/E7-8/E7d-8a/E8b-9/E10-10c/, WS/KEY)

6.4 *Arc Length (Notes/E1-2/E3-6, WS/KEY)

6.5 L'Hôpital's Rule and Indeterminate Forms (Notes/E1-3b/E3c-d/4-5/6-7b/7c-9/, WS/KEY)

6.6 *Improper Integrals (Notes/E1-3/E4-7/E8-11b/E11c-15/E16-19, WS/KEY)

Chatper 7: Vector Calculus

7.1 *Intro to Parametric & Vector Calculus (Notes/E1-3/E4-9, WS/KEY)

7.2 *Parametric & Vector Accumulation (Notes/E1-2, WS/KEY) Worksheet II/KEY

Chapter 8: Polar Calculus

10 6 Review Ap Calculus Frq

8.1 *Polar Intro & Derivatives (Notes/E1-2a/E2b-3/E4-7a/E7b-10/, WS/KEY)

8.2 *Polar Area (Notes/E1-2/E3-6/E7-8, WS/KEY)

Chapter 9: Sequences & Series

9.1 *Infinite Sequences & Series (Notes/E1-4/E5-8/E9-11/E12-15/E16-20a/E20b-22, WS/KEY)

Summary of Tests for Convergence and Series Flow Chart with practice problems

9.2 *Taylor Polynomials (Notes/E1-3/E4-8/, WS/KEY)

9.3 *Power Series I: Taylor & Maclaurin Series (Notes/E1-2a/E2a-2d/E3-5/E6-9/, WS/KEY)

9.4 *Power Series II: Geometric Series (Notes/E1-7/E7-11/E12/E13/, WS/KEY)

9.5 *Lagrange Error Bound (Notes/E1-4/E5, WS/KEY)

Chapter 10: After the AP Exam

10.1 Trig Substitution Integration (Notes/KEY, WS/KEY)

10.2 Partial Fraction Decomposition (Notes/KEY, WS/KEY)

10.3 Epsilon-Delta Proofs (Notes/KEY, WS/KEY)

10.4 Newton's Method (Notes/KEY, WS/KEY)

10.5 Surface Area (Notes/KEY, WS/KEY)

10 6 Review Ap Calculus Multiple Choice

10.6 Hyperbolic Trig Functions (Notes/KEY, WS/KEY)

10 6 Review Ap Calculus Textbook

APCalculus AB Class Schedule and Homework Assignments

Section numbers arefrom the Hughes-Hallett Gleasonbook. H=Hughes-Hallett Gleason, S=Stewart

Date

Class Activities

Homework Assignment

8/25

Introductions

8/26

8/28

Sections 1.1, 1.2, 1.3 and 1.4

H p. 6:4-7, 11-13

S p. 22:1, 37, 41, 47-50

H p. 11:1-3, 8, 12, 15-16

H p. 21:5-6, 27-28, 31

H p. 29:1-11 odd, 14, 22

9/1

Limits

H p. 64: 1, 5

H p. 69: 1-8
H p. 133: 7-8, 11 (only ii)

9/2

Sections 1.5, 1.6, and 1.7 (video)

H p. 34: 1-3, 8-12, 15-17
S p. 420: 25-28
H p. 39: 2-8 even, 20-21, 23, 25
H p. 44: 2-6 even, 32 (a-c), 41-42
S p. 439: 3-17 odd

9/4

Limits, Part 2

S p. 79: 1, 3-5, 7, 15, 19-20, 23-26

9/9

APC Video 1.9

Asymptotes and Discontinuities

H p. 65: 9-12, 23, 26
S p. 110: 3, 15-19 odd, 41 (only a)

9/11

Review Chapter 1

9/15

Test Chapter 1

9/16

9/18

Section 2.1

H p. 94: 1-4, 6-9, 11, 13-19 (odd, only a-c)
S p. 70: 5-8

9/22

Section 2.2

H p. 102: 2-4, 8-9, 11, 13-24, 32
S p. 132: 4-6, 8, 19-20, 23

9/23

9//25

Section 2.3

H p. 110: 1-10, 13-17, 19-29 odd, 30-31
S p. 142: 1, 4, 19-22, 27-29

9/29

Section 2.4

H p. 115: 1-10, 12-15

9/30

10/2

Section 2.5

H p. 120: 1-8, 12, 14-18

10/6

Review Chapter 2

10/7

10/9

Test Chapter 2

10/13

Sections 4.1, 4.2, and 4.3

H p. 195: 5-23 odd, 25-38, 41, 46
H p. 201: 1-21 odd, 22-32, 34 (a-c), 36-37
Additional Problems: 1

10/14

H p. 206: 1-23 odd, 24-27, 31, 34, 36-37
Additional Problems: 2-6

10/16

Section 4.4

H p. 211: 1-29 odd, 31-33, 35-37, 39-40
Additional Problems: 7-9

10/20

Section 4.5

S p. 174: 1-19, 21-25, 29
Additional Problems: 10-12

10/21

Section 4.6

S p. 484: 22-35
S p. 449: 3-25 odd, 36, 53

10/23

Section 4.7

H p. 226: 1-16, 18
Additional Problems: 13-15

10/27

Section 4.8

S p. 210: 5-8, 31-38

10/28

10/30

Review Chapter 4

11/3

Test Chapter 4

11/4

11/6

L'Hopital's Rule

S p. 501: 5-33 odd

11/10

Related Rates

S p. 202: 7-11, 15-18, 20, 23, 25, 31

11/13

Graphing, Part 1

H p. 247: 4-10, 18-20, 22, 27, 29, 31
H p. 281: 3-6

11/17

Graphing, Part 2

S p. 230: 15-21 odd, 31-55 odd

11/18

11/20

Optimization

S p. 283: 2-3, 5-6, 9-11, 15, 22, 24, 29

12/1

MVT, IVT, EVT

MVT, IVT, and EVT Worksheet (solutions)

12/2

12/4

Review Chapter 5

12/8

Test Chapter 5

12/9

12/11

Section 3.2

H p. 158: 1-2, 11-14, 16, 19, 21, 23-24
S p. 338: 34-37

12/15

Section 3.3

H p. 165: 4-5, 8-12, 15, 20

12/16

12/18

Section 3.4

H p. 173: 1, 3-4, 6-7, 14-18, 22
S p. 358: 53-54

1/6

Review Chapter 3

1/8

Mini-Test Chapter 3

Final Review

1/12

Review

1/13

1/15

Review

1/21

Final Exam

1/26

Sections 6.1 and 6.2

H p. 297: 1-11, 14, 16
H p. 302: 1-15

1/27

1/29

Section 6.2

H p. 302: 16-18, 30-43, 46-54

2/2

Sections 6.3, 10.4, and Slope Field

H p. 307: 1-3, 5-7, 9
H p. 509: 1-6, 15
S p. 635: 1a, 3-6, 9-14

2/3

2/5

Section 6.4

S p. 348: 7-18, 43, 51
H p. 313: 15
H p. 313: 1-7, 10, 13-16

2/9

Review Chapter 6

2/11

Test Chapter 6

2/17

Section 7.1

H p. 326: 11-41, 43

2/19

Section 7.2

H p. 331: 2-9, 17-20, 24, 27, 35, 38, 40

2/23

Section 7.3

H p. 337: 2, 5-10, 15-17, 26, 28-31, 47-48

2/24

2/26

Practice Integration

S p. 516: 1-7, 9, 12, 20-23, 26

3/2

Section 7.5

H p. 348: 1-4, 6-7
S p. 563: 8, 13, 17 (a-b only)

3/3

3/5

Review Chapter 7
3/9 Test Chapter 7

3/10

3/12

Area

S p. 380: 1-2, 5-10, 12-14, 49

3/16

More Area and Arc Length

S p. 380: 15-16, 21-24, 26, 33-36, 41, 47
S p. 588: 5, 7-8, 37

3/17

3/19

Volume of Rotation

S p. 391: 1-17, 32

3/23

Volume with Known Cross Section

H p. 382: 6-8, 12-13
S p. 392: 54, 56-59, 48

3/24

3/26Practice Volume
3/30Review Chapter 8

3/31

4/2Test Chapter 8 Review Videos (skip the ones labeled BC only)
4/13MC-1

4/14

4/16FR-1
4/20FR-2

4/21

MC-2
4/23FR-3
4/27Final Exam, Part 1

4/28

4/30Final Exam, Part 2
5/4AP Test

5/5

5/7
5/11

5/12

5/14Partial Fractions
5/18Geometry Series

5/19

5/21Complex Numbers
5/25Parametric Equations

5/26

5/28 Polar Equations
6/2Review
6/4Precalculus Test

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