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E-mail: Copyright 2013 by TPR Education IP Holdings, LLC
Cover art Jonathan Pozniak All rights reserved. Published in the United States by Random House LLC, New York, a Penguin Random House Company, and in Canada by Random House of Canada Limited, Toronto, Penguin Random House Companies. The Princeton Review is not affiliated with Princeton University. AP and Advanced Placement Program are registered trademarks of the College Board, which does not sponsor or endorse this product. eBook ISBN: 978-0-8041-2446-1
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The Princeton Review is not affiliated with Princeton University.
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Acknowledgments
The Princeton Review would like to give a very special thanks to Bikem Polat and Chris Knuth for their hard work on the creation of this title. Their intimate subject knowledge and thorough fact-checking has made this book possible. In addition, The Princeton Review thanks Jesse Newkirk for his hard work in copy editing the content of this title.
About the Authors
Bikem Ayse Polat has been teaching and tutoring through The Princeton Review since 2010.
She came to TPR as an undergraduate at the University of California, San Diego from which she graduated in 2011 with two Bachelors of Science degrees in Bioengineering: Pre-Med and Psychology. After graduation, she moved to Cincinnati, OH for a year where she certified to tutor online and was promoted to Master Tutor. She is currently residing in Philadelphia, PA where she is a graduate student at Temple University, working on her Ph.D. in Urban Education. She is certified to teach and tutor numerous Advanced Placement courses as well as the PSAT, SAT, ACT, LSAT, GRE, and MCAT. In her spare time, Bikem enjoys spending time with her dog, Gary, and her nieces, Laila and Serra.
Chris Knuth have been with the Princeton Review for 9 years and has been teaching Math since the 5th grade through various tutoring organizations and classes.
He is certified to teach various Advanced Placement courses as well as SAT, ACT, GMAT, GRE, LSAT, DAT, OAT, PSAT, SSAT, and ISEE. He considers Calculus to be his favorite level of Math. Chris would like to thank his family for their unwavering support and always being the wind in my sail and give a very special thank you to the teachers who made math fun, Gai Williams and Anita Genduso.
Contents
Part I
Using This Book to Improve Your AP Score
PREVIEW: YOUR KNOWLEDGE, YOUR EXPECTATIONS
Your route to a high score on the AP Calculus Exam depends a lot on how you plan to use this book. Start thinking about your plan by responding to the following questions.
- Rate your level of confidence about your knowledge of the content tested by the AP Calculus Exam: A.
Very confidentI know it all B. Im pretty confident, but there are topics for which I could use help C. Not confidentI need quite a bit of support D. Im not sure
- If you have a goal score in mind, circle your goal score for the AP Calculus Exam:
- What do you expect to learn from this book? Circle all that apply to you. A. A general overview of the test and what to expect B.
Strategies for how to approach the test C. The content tested by this exam D. Im not sure yet
YOUR GUIDE TO USING THIS BOOK
This book is organized to provide as muchor as littlesupport as you need, so you can use this book in whatever way will be most helpful for improving your score on the AP Calculus Exam.
- The remainder of Part One will provide guidance on how to use this book and help you determine your strengths and weaknesses.
- of this book will
- provide information about the struxcture, scoring, and content of the AP Calculus Exam.
- help you to make a study plan.
- point you towards additional resources.
- of this book will explore various strategies:
- how to attack multiple choice questions
- how to write a high-scoring free response answer
- how to manage your time to maximize the number of points available to you
- of this book contains practice drills covering all of the AB Calculus and BC Calculus concepts you will find on the exams.
- of this book contains practice tests.
You may choose to use some parts of this book over others, or you may work through the entire book. This will depend on your needs and how much time you have.
HOW TO BEGIN
- Take a Test Before you can decide how to use this book, you need to take a practice test.
HOW TO BEGIN
- Take a Test Before you can decide how to use this book, you need to take a practice test.
Doing so will give you insight into your strengths and weaknesses, and the test will also help you make an effective study plan. If youre feeling test-phobic, remind yourself that a practice test is a tool for diagnosing yourselfits not how well you do that matters but how you use information gleaned from your performance to guide your preparation. So, before you read further, take the AP Calculus AB Diagnostic Test starting at . Be sure to do so in one sitting, following the instructions that appear before the test.
- Check Your Answers Using the answer key on (for Calculus BC), count how many multiple choice questions you got right and how many you missed. Dont worry about the explanations for now, and dont worry about why you missed questions.
Well get to that soon.
- Reflect on the Test After you take your first test, respond to the following questions:
- How much time did you spend on the multiple choice questions?