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5 Steps to a 5
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5 Steps to a 5 AP Calculus AB, 2014-2015 Edition
CITATION
Ma, William
.
5 Steps to a 5 AP Calculus AB, 2014-2015 Edition
.
US
: McGraw-Hill, 2013.
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5 Steps to a 5 AP Calculus AB, 2014-2015 Edition
Authors:
William Ma
Published:
July 2013
eISBN:
9780071802420 0071802428
|
ISBN:
9780071802413
Open eBook
Book Description
Table of Contents
Cover
About the Author
Title Page
Copyright Page
Contents
Preface
Acknowledgments
Introduction: The Five-Step Program
Step 1 Set Up Your Study Plan
1 What You Need to Know About the AP Calculus AB Exam
1.1 What Is Covered on the AP Calculus Exam?
1.2 What Is the Format of the AP Calculus AB Exam?
1.3 What Are the Advanced Placement Exam Grades?
1.4 Which Graphing Calculators Are Allowed for the Exam?
2 How to Plan Your Time
2.1 Three Approaches to Preparing for the AP Calculus AB Exam
2.2 Calendar for Each Plan
Step 2 Determine Your Test Readiness
3 Take a Diagnostic Exam
3.1 Getting Started!
3.2 Diagnostic Test
3.3 Answers to Diagnostic Test
3.4 Solutions to Diagnostic Test
3.5 Calculate Your Score
Step 3 Develop Strategies for Success
4 How to Approach Each Question Type
4.1 The Multiple-Choice Questions
4.2 The Free-Response Questions
4.3 Using a Graphing Calculator
4.4 Taking the Exam
Step 4 Review the Knowledge You Need to Score High
5 Review of Precalculus
5.1 Lines
5.2 Absolute Values and Inequalities
5.3 Functions
5.4 Graphs of Functions
5.5 Rapid Review
5.6 Practice Problems
5.7 Cumulative Review Problems
5.8 Solutions to Practice Problems
5.9 Solutions to Cumulative Review Problems
6 Limits and Continuity
6.1 The Limit of a Function
6.2 Limits Involving Infinities
6.3 Continuity of a Function
6.4 Rapid Review
6.5 Practice Problems
6.6 Cumulative Review Problems
6.7 Solutions to Practice Problems
6.8 Solutions to Cumulative Review Problems
7 Differentiation
7.1 Derivatives of Algebraic Functions
7.2 Derivatives of Trigonometric, Inverse Trigonometric, Exponential, and Logarithmic Functions
7.3 Implicit Differentiation
7.4 Approximating a Derivative
7.5 Derivatives of Inverse Functions
7.6 Higher Order Derivatives
7.7 Rapid Review
7.8 Practice Problems
7.9 Cumulative Review Problems
7.10 Solutions to Practice Problems
7.11 Solutions to Cumulative Review Problems
8 Graphs of Functions and Derivatives
8.1 Rolle’s Theorem, Mean Value Theorem, and Extreme Value Theorem
8.2 Determining the Behavior of Functions
8.3 Sketching the Graphs of Functions
8.4 Graphs of Derivatives
8.5 Rapid Review
8.6 Practice Problems
8.7 Cumulative Review Problems
8.8 Solutions to Practice Problems
8.9 Solutions to Cumulative Review Problems
9 Applications of Derivatives
9.1 Related Rate
9.2 Applied Maximum and Minimum Problems
9.3 Rapid Review
9.4 Practice Problems
9.5 Cumulative Review Problems
9.6 Solutions to Practice Problems
9.7 Solutions to Cumulative Review Problems
10 More Applications of Derivatives
10.1 Tangent and Normal Lines
10.2 Linear Approximations
10.3 Motion Along a Line
10.4 Rapid Review
10.5 Practice Problems
10.6 Cumulative Review Problems
10.7 Solutions to Practice Problems
10.8 Solutions to Cumulative Review Problems
11 Integration
11.1 Evaluating Basic Integrals
11.2 Integration by U-Substitution
11.3 Rapid Review
11.4 Practice Problems
11.5 Cumulative Review Problems
11.6 Solutions to Practice Problems
11.7 Solutions to Cumulative Review Problems
12 Definite Integrals
12.1 Riemann Sums and Definite Integrals
12.2 Fundamental Theorems of Calculus
12.3 Evaluating Definite Integrals
12.4 Rapid Review
12.5 Practice Problems
12.6 Cumulative Review Problems
12.7 Solutions to Practice Problems
12.8 Solutions to Cumulative Review Problems
13 Areas and Volumes
13.1 The Function F (x) = ∫[Sup(x)][Sub(a)] f(t)dt
13.2 Approximating the Area Under a Curve
13.3 Area and Definite Integrals
13.4 Volumes and Definite Integrals
13.5 Rapid Review
13.6 Practice Problems
13.7 Cumulative Review Problems
13.8 Solutions to Practice Problems
13.9 Solutions to Cumulative Review Problems
14 More Applications of Definite Integrals
14.1 Average Value of a Function
14.2 Distance Traveled Problems
14.3 Definite Integral as Accumulated Change
14.4 Differential Equations
14.5 Slope Fields
14.6 Rapid Review
14.7 Practice Problems
14.8 Cumulative Review Problems
14.9 Solutions to Practice Problems
14.10 Solutions to Cumulative Review Problems
Step 5 Build Your Test-Taking Confidence
AP Calculus AB Practice Exam 1
AP Calculus AB Practice Exam 2
AP Calculus AB Practice Exam 3
Appendix
Bibliography and Websites