AP Calculus AB/BC All Access

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Overview

AP* Calculus AB/BC All Access™

Anytime, Anywhere Access to AP Prep

Make the most of your time with a new kind of study system built around you.

You need a high score on the AP Calculus AB/BC exam to get the college credit or placement you’re counting on. We know prepping efficiently is important to you. So we’re here to help you stay flexible and focused with REA’s All Access...

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AP Calculus AB/BC All Access

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Overview

AP* Calculus AB/BC All Access™

Anytime, Anywhere Access to AP Prep

Make the most of your time with a new kind of study system built around you.

You need a high score on the AP Calculus AB/BC exam to get the college credit or placement you’re counting on. We know prepping efficiently is important to you. So we’re here to help you stay flexible and focused with REA’s All Access study system.

AP Calculus AB/BC All Access offers you seamless access to targeted Advanced Placement Calculus AB/BC assessment with e-flashcards, quizzes, and practice tests—just pick up wherever you leave off from whatever device you’re on! Whether you’re on your computer, smartphone, or other mobile device, All Access is there for you.

3 Study Tools Working Together to Help You Succeed

Book: Targeted review of the AP Calculus AB/BC material you’ll be expected to know on exam day, plus proven tips and strategies for answering every question type.

Web: Diagnostic tools at the online REA Study Center help you pinpoint your strengths and weaknesses, so you know exactly where to focus your study.

Mobile: Customizable e-flashcards mean personalized prep—practice where you need it most.

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Product Details

  • ISBN-13: 9780738610849
  • Publisher: Research & Education Association
  • Publication date: 9/20/2013
  • Series: Advanced Placement (AP) All Access
  • Pages: 432
  • Sales rank: 263,377
  • Product dimensions: 8.30 (w) x 10.90 (h) x 1.30 (d)

Meet the Author

Stu Schwartz taught in the Wissahickon School District, in Ambler, Pennsylvania for 35 years, specializing in AP® Calculus AB and BC and AP® Statistics. He currently teaches statistics at Chestnut Hill College in Philadelphia. Mr. Schwartz received his B.S. degree in Mathematics from Temple University, Philadelphia. He was a 2002 recipient of the Presidential Award for Excellence in Mathematics Teaching and also won the 2007 Outstanding Educator of the Year Award for the Wissahickon School District.

Outside the classroom, Mr. Schwartz does consulting work with the Math and Science Partnership of Greater Philadelphia, focusing on factors affecting success in college in STEM (science, technology, engineering, math) degrees. He is well-known in the AP® community, having developed the website www.mastermathmentor.com, which is geared toward helping educators teach AP® Calculus, AP® Statistics, and other math courses.

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Read an Excerpt

Welcome to REA’s All Access for AP Calculus AB/BC

A new, more effective way to prepare for your AP exam

There are many different ways to prepare for an AP exam. What’s best for you depends on how much time you have to study and how comfortable you are with the subject matter. To score your highest, you need a system that can be customized to fit you: your schedule, your learning style, and your current level of knowledge.

This book, and the free online tools that come with it, will help you personalize your AP prep by testing your understanding, pinpointing your weaknesses, and delivering flashcard study materials unique to you.

Let’s get started and see how this system works.

How to Use REA’s AP All Access
The REA AP All Access system allows you to create a personalized study plan through three simple steps: targeted review of exam content, assessment of your knowledge, and focused study in the topics where you need the most help.

Here’s how it works:

Review the Book:
Study Chapter 3 to be certain that you are strong on the essential Precalculus topics for AP Calculus. Then, study the topics tested on the AP exam and learn proven strategies that will help you tackle any question you may see on test day. This approach will maximize your score.

Test Yourself & Get Feedback:
As you review the book, test yourself. Score reports from your free online tests and quizzes give you a fast way to pinpoint what you really know and what you should spend more time studying.

Improve Your Score:
Armed with your score reports, you can personalize your study plan. Review the parts of the book where you are weakest, and use the REA Study Center to create your own unique e-flashcards, adding to the 100 free cards (60 for Calculus AB; 40 for Calculus BC) included with this book.

Finding Your Weaknesses: The REA Study Center
The best way to personalize your study plan and truly focus on your weaknesses is to get frequent feedback on what you know and what you don’t. At the online REA Study Center, you can access three types of assessment: topic-level quizzes, mini-tests, and a full-length practice test. Each of these tools provides true-to-format questions and delivers a detailed score report that follows the topics set by the College Board.

Topic-Level Quizzes
Short online quizzes are available throughout the review and are designed to test your immediate grasp of the topics just covered.

Mini-Tests
Two online mini-tests for Calculus AB students (and one online mini-test for Calculus BC students) cover what you’ve studied in each major section of the book. These tests are like the actual AP exam, only shorter, and will help you evaluate your overall understanding of the subject material.

Full-Length Practice Test
After you’ve finished reviewing the book, take our full-length exam for Calculus AB or BC (or both) to practice under test-day conditions. Available both in this book and online, these tests give you the most complete picture of your strengths and weaknesses. We strongly recommend that you take the online version of the exam for the added benefits of timed testing, automatic scoring, and a detailed score report.

Improving Your Score: e-Flashcards
Once you get your score reports from the online quizzes and tests, you’ll be able to see exactly which topics you need to review. Use this information to create your own flashcards for the areas where you are weak. And, because you will create these flashcards through the REA Study Center, you’ll be able to access them from any computer or smartphone.

Not quite sure what to put on your flashcards? Start with the 100 free cards (60 for Calculus AB; 40 for Calculus BC) included when you buy this book.

After the Full-Length Practice Test: Crash Course
After finishing this book and taking our full-length practice exam, pick up REA’s Crash Course for AP Calculus AB & BC. Use your most recent score reports to identify any areas where you are still weak, and turn to the Crash Course for a rapid review presented in a concise outline style.

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Table of Contents

About Our Author
About Research & Education Association
Acknowledgments

Chapter 1: Welcome to REA’s All Access for AP Calculus AB/BC

Chapter 2: Strategies for the Exams
Content of the AP Calculus AB & BC Exams
Format of the Exams
What’s the Score?
The Focus of Our Review Chapters
General Strategies for the AP Calculus Exams
Section I: Strategies for the Multiple-Choice Section
Section II: Strategies for the Free-Response Section
Calculators
Using the Calculator

Chapter 3: A Precalculus Review
1. Functions
2. Domain and Range
3. The Function Toolbox
4. Even and Odd Functions
5. Transformation of Graphs
6. Special Factorization
7. Linear Equations
8. Solving Quadratic Equations
9. Asymptotes
10. Inverses
11. Negative and Fractional Exponents
12. Eliminating Complex Fractions
13. Solving Fractional Equations
14. Solving Absolute Value Equations
15. Solving Inequalities
16. Exponential Functions and Logs
17. Right Angle Trigonometry
18. Special Angles
19. Trigonometric Identities
20. Solving Trigonometric Equations or Inequalities
Quiz 1....................................................available online at www.rea.com/studycenter

AP Calculus AB

Chapter 4: Basic Calculus Concepts and Limits
Introduction
Graphical Approach to Limits
Algebraic Approach to Limits
Continuity
Quiz 2....................................................available online at www.rea.com/studycenter

Chapter 5: Derivatives
Average and Instantaneous Rate of Change
The Derivative
Derivatives of Algebraic Functions
The Chain Rule
Tangent Line Approximations
Derivatives of Trigonometric Functions
Derivatives of Exponential, Logarithmic, and Inverse Trig Functions
Implicit Differentiation
Derivatives of Inverse Functions
Horizontal and Vertical Tangent Lines
Differentiability
Quiz 3....................................................available online at www.rea.com/studycenter

Chapter 6: Applications of Differentiation
Related Rates
Procedure for Solving Related Rates Problems
Straight-Line Motion
The Intermediate Value Theorem
The Mean-Value Theorem and Rolle’s Theorem
Function Analysis
Increasing/Decreasing
Concavity
Relative (or Local) Extrema
Absolute Extrema
Optimization
Procedure for Solving an Optimization Problem
Quiz 4....................................................available online at www.rea.com/studycenter
Mini-Test 1............................................available online at www.rea.com/studycenter

Chapter 7: Integration
Antidifferentiation and Indefinite Integrals
Area and the Definite Integral
The Accumulation Function
Riemann Sums and the Trapezoidal Rule
The Fundamental Theorem of Calculus
The Second Fundamental Theorem of Calculus
Quiz 5....................................................available online at www.rea.com/studycenter

Chapter 8: Applications of Integration
Area Between Curves
Average Value of a Function
Accumulated Change Problems
Straight-Line Motion Revisited
Volume
Solving Differential Equations
Growth and Decay
Quiz 6....................................................available online at www.rea.com/studycenter
Mini-Test 2............................................available online at www.rea.com/studycenter

Chapter 9: Additional Limit and Integration Problems
L’Hospital’s Rule
Integration by Parts
Integration Using Partial Fractions
Improper Integrals
Quiz 7....................................................available online at www.rea.com/studycenter

Chapter 10: Additional BC Calculus Applications
Euler’s Method
Logistic Growth
Arc Length
Parametric Functions
Vector-Valued Functions
Polar Equations
Quiz 8....................................................available online at www.rea.com/studycenter

Chapter 11: Sequences and Series
Basic Series and Convergence Tests
Power Series and Interval of Convergence
Taylor Polynomial Approximations
Error Bounds
Taylor and Maclaurin Series
Functions Defined as Power Series
Quiz 9....................................................available online at www.rea.com/studycenter
Mini-Test 3............................................available online at www.rea.com/studycenter

AP Calculus AB Practice Exam (also available online at www.rea.com/studycenter )
Answer Key
Detailed Explanations of Answers

AP Calculus BC Practice Exam (also available online at www.rea.com/studycenter )
Answer Key
Detailed Explanations of Answers
Answer Sheets
Index

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