AP Calculus AB/BC: The Best Test Prep for the AP

Overview


ARE YOU SERIOUS ABOUT GETTING A 5 ON THE AP* CALCULUS AB & BC EXAMS?
Get fully prepared with the AP* Calculus AB & BC test prep AP* teachers recommend.

The Most Complete AP* Calculus AB & BC Subject Review:
Everything you need to know for the Advanced Placement* Calculus AB & BC exams, selected and presented by a seasoned ...

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Overview


ARE YOU SERIOUS ABOUT GETTING A 5 ON THE AP* CALCULUS AB & BC EXAMS?
Get fully prepared with the AP* Calculus AB & BC test prep AP* teachers recommend.

The Most Complete AP* Calculus AB & BC Subject Review:
Everything you need to know for the Advanced Placement* Calculus AB & BC exams, selected and presented by a seasoned high school teacher with extensive AP* Calculus AB & BC experience.

The Best AP* Calculus AB & BC Practice Exams Available:
8 full-length AP* Calculus practice tests (5 tests for AP* Calculus AB and 3 tests for AP* Calculus BC) based on official AP* Calculus AB & BC exam questions released by the College Board – balanced to include every AP* Calculus AB & BC topic and type of AP* question you can expect on the Calculus AB & BC exams.

Total Explanations of AP* Calculus AB & BC Exam Questions & Answers:
Each AP* Calculus AB & BC practice test comes with detailed feedback on every question. We don’t just say which answers are right – but why the others are wrong, so you’ll be prepared for the AP* Calculus AB & BC exams!

Proven Test Prep Methods:
REA’s focused AP* Calculus AB & BC content and practical advice has helped millions of AP*  students score higher. With our step-by-step plan, you can earn a 5 on the AP* Calculus AB & BC exams and get the credit you deserve!

Recommended by AP* Calculus AB & BC Teachers:
For years, AP* Calculus AB & BC teachers have relied on REA for effective, authoritative Advanced Placement* study guides. Our authors include nationally known AP* experts who have personally coached generations of successful Advanced Placement* students. In our AP* Calculus AB & BC test prep, we’ve drawn on the insights of an experienced high school mathematics teacher to create one powerful volume.

Get the World’s Most Advanced AP* Calculus AB & BC Software:
REA’s TestWare combines a realistic AP* test environment with the most powerful scoring analysis and diagnostic tools available. With every AP* Calculus AB & BC practice test you take, you’ll gain knowledge and confidence for the real AP* exam. Automatic scoring and instant reports help you zero in on the topics and types of AP* Calculus AB & BC questions that give you trouble now, so you’ll succeed on the AP* Calculus AB & BC exams! (CD includes 3 practice exams – 2 for AP*  Calculus AB, and 1 for AP Calculus BC.)

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Product Details

  • ISBN-13: 9780738606286
  • Publisher: Research & Education Association
  • Publication date: 10/23/2009
  • Series: Advanced Placement (AP) Test Preparation
  • Edition description: Second
  • Edition number: 2
  • Pages: 544
  • Age range: 14 - 17 Years
  • Product dimensions: 6.60 (w) x 9.70 (h) x 1.70 (d)

Meet the Author

Dr. Norman Levy is the Director of Mathematics and Testing for NJL College Preparation and Learning Center, as well as Math Coordinator of Hebrew Academy of Nassau County, N.Y., where he supervises the mathematics staff, selects textbooks, implements programs, holds teacher-training workshops, and teaches SAT* math skills to students.

He is a certified mathematics teacher for grades 7-12 in New York State and the respected author and coauthor of more than a dozen academic study and test preparation guides for college-bound students and teacher candidates. Dr. Levy and his wife, Dr. Joan Levy, are directors of NJL College Preparation in Albertson, N.Y., which offers test preparation classes and counseling for college-bound students.

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Read an Excerpt

EXCELLING ON THE  AP CALCULUS AB & BC EXAMS  
About This Book and TestWare® 

This book, along with the accompanying CD, provides an accurate and complete representation of the Advanced Placement examinations in Calculus AB and BC. Our practice exams are based on the format of the most recently administered Advanced Placement Calculus AB and BC exam. Each practice exam in this book includes every type of question that you can expect to encounter on the real exam.
 
Following each of our practice exams is an answer key complete with detailed explanations designed to clarify the material for you. By using the subject reviews, completing all the appropriate practice exams for Calculus AB & BC, as necessary, and studying the explanations that follow, you will pinpoint your strengths and weaknesses and, above all, put yourself in the best possible position to score well. 

 Three practice exams are also included on the enclosed TestWare® CD—two for the AP Calculus AB exam and one for the AP Calculus BC exam. The software provides timed conditions for instantaneous, accurate scoring, which makes it all the easier to pinpoint your strengths and weaknesses. 
 
About the Exam  
The Advanced Placement Calculus AB & BC examinations are offered each May at participating schools and multi-school centers throughout the world. The Advanced Placement Program is designed to allow high school students to pursue college-level studies while attending high school. In turn, participating colleges and universities in the United States and more than 30 countries around the world, grant credit and/or advanced placement to students who do well on the examinations.  
 
 

Content of the AP Calculus AB & BC Exams 
Although the content of the Calculus AB & BC exams changes slightly from year to year, the following outline shows the topics usually found on the exams. Items marked with an asterisk (*) are found only on the BC exam. All other topics are common to both exams. 

 
 I. Functions and Relations
Graphical Analysis
Limits 
Continuity 
Discontinuity 
Parametric and Polar* 
Vector valued functions* 
 
 II. Derivatives  
Definition 
Derivatives of elementary functions 
Chain rule 
Implicit differentiation 
Mean value theorem 
Inverse functions 
 

 
 III. Applications of Derivatives 
Curve Analysis 
Related Rates   
Optimization 
L’Hospital’s Rule*  
Motion 
 

 
IV. Integrals 
Fundamental Theorem of Calculus  
Riemann Sums (right, left, midpoint)/Trapezoidal Rule 
Antidifferentiation including u-substitution 
Antidifferentiation including partial fractions and by parts* 
Improper integrals* 
 

 
 V. Applications of Integrals  
Area   
Volume  
Average value 
Arc length* 
Motion  
 

 
 VI. Differential Equations 
Slope fields  
Euler’s method*  
Separation of variables  

 
 VII. Series*  
Convergence testing 
Radius/interval of convergence  
Taylor and Maclaurin series  
Lagrange form of the Taylor error bound 

 
 VIII. Parametric and Polar*  
Curve Analysis 
Arc length  
Area  
Motion  
 

How to Use this Book and TestWare®  
This book, along with our TestWare® software package of computerized practice exams, affords you the most relevant, targeted prep available for the AP Calculus AB & BC Exams. Our book features a no-nonsense subject review that covers exactly the material you need to master to do well on the AP exam. If it’s in our review, you need to know it! And it’s formatted in a way to perfectly complement your calculus textbook.  

      
Here are the working assumptions that informed how our book and software were tailored:  
 

• You’ve taken—or are taking—a course in calculus or otherwise have some familiarity with the subject.   

• You already possess one of those 800-plus page calculus textbooks that cover the subject matter exhaustively.   

• You need a quick and concise review of the subject matter modeled on the actual AP exams. 

• If you’re getting ready to sit for the AP Calculus AB or BC Exams, you already have a knowledge of basic algebra, geometry, algebra 2, trigonometry, pre-calculus, and calculus.

• Furthermore, bear in mind that this is a math test; thus, it is math rules and illustrations that are needed for review.  And that’s precisely what we give you. 

How, then, to put it all together? Read over our course review and our suggestions for test taking. Next, take the first practice exam on CD under the appropriate heading (AB or BC) to audit your strengths and weaknesses; this book combines coverage of Calculus AB and BC, and the tests on CD correspond to our book’s printed exams for AB Practice Exams 1 and 2 and BC Practice Exam1.  
 
We provide distinct practice and review for both exams, with the step-by-step problem-solving attacks you need to ace the exam included in our detailed explanations with each exam answer. Those explanations will equip you with a systematic way of pinpointing your weakest areas so that you can bolster your total performance—and reinforce what you’ve learned in the classroom!  

Be sure to take all the applicable practice tests. To make the best use of your study time, follow our test-specific study schedules, which you will find in the front of the book.  

SSD accommodations for students with disabilities 
Many students qualify for extra time to take the AP exams, and our TestWare® can be adapted to accommodate your time ­extension. This allows you to practice under the same extended-time accom­modations that you will receive on the actual test day. To customize your TestWare® to suit the most common extensions, visit our website at www.rea.com/ssd.  

 
When should I start studying?  
It is never too early to start studying for the AP Calculus AB & BC examinations. The earlier you begin, the more time you will have to sharpen your skills. Do not procrastinate!  

About Our Review Section 
This book contains an AP Calculus AB & BC course review, which you can use both as a primer and as a quick reference while taking the practice exams. Our course review is meant to complement your AP Calculus AB & BC text-book and is by no means exhaustive. By studying our review along with your text, you will be well prepared for the exam.   
 
 
 

 

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Table of Contents

CONTENTS  
About Our Author 
About REA 
Study Schedules 
Installing REA’s TestWare® 
 
Chapter 1
Excelling on the AP Calculus AB & BC Exams
 
AP CALCULUS AB & BC  COURSE REVIEW
 
Chapter 2
Precalculus Facts 

Chapter 3 
Limits and Continuity 

Chapter 4 
Derivatives 

Chapter 5 
Applications of Derivatives 

Chapter 6 
Integration 

Chapter 7 
Applications of Integrals 

Chapter 8 
Differential Equations 

Chapter 9 
Parametric Equations and Polar Coordinates 

Chapter 10 
Sequences and Series 

 
Chapter 11 
Vector Valued Functions and Motion
 
AP CALCULUS AB  PRACTICE EXAMS 
 
Practice Exam 1
Answer Key 
Detailed Explanations of Answers 
 
Practice Exam 2
Answer Key 
Detailed Explanations of Answers 

Practice Exam 3
Answer Key 
Detailed Explanations of Answers 

Practice Exam 4
Answer Key 
Detailed Explanations of Answers 
 
Practice Exam 5
Answer Key 
Detailed Explanations of Answers 
 
AP CALCULUS BC  PRACTICE EXAMS
 
Practice Exam 1
Answer Key 
Detailed Explanations of Answers 

 

Practice Exam 2
Answer Key 
Detailed Explanations of Answers 
 
Practice Exam 3
Answer Key 
Detailed Explanations of Answers 
 
 

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