AP Calculus AB & BC Crash Course, 2nd Ed., Book + Online

AP Calculus AB & BC Crash Course, 2nd Ed., Book + Online

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Overview

REA's Crash Course® for the AP® Calculus AB & BC Exams - Gets You a Higher Advanced Placement® Score in Less Time
2nd Edition - Updated for the 2017 Exams


The REA Crash Course is the top choice for the last-minute studier, or any student who wants a quick refresher on the subject.

Are you crunched for time? Have you started studying for your Advanced Placement® Calculus AB & BC exams yet? How will you memorize everything you need to know before the tests? Do you wish there was a fast and easy way to study for the exams and boost your score?

If this sounds like you, don't panic. REA's Crash Course for AP® Calculus AB & BC is just what you need. Go with America’s No. 1 quick-review prep for AP® exams to get these outstanding features:

Targeted, Focused Review - Study Only What You Need to Know
The REA Crash Course is based on an in-depth analysis of the AP® Calculus AB & BC course description outline and actual AP® test questions. It covers only the information tested on the exams, so you can make the most of your valuable study time.

Written by experienced AP® Calculus instructors, the targeted review chapters prepare students for the test by only focusing on the topics tested on the AP® Calculus AB & BC exams. Our easy-to-read format gives students a quick but strategic course in AP® Calculus AB & BC and covers functions, graphs, units, derivatives, integrals, and polynomial approximations and series.

Expert Test-taking Strategies
Our author shares detailed question-level strategies and explain the best way to answer AP® questions you'll find on the exams. By following this expert tips and advice, you can boost your overall point score!

Take REA's Practice Exams
After studying the material in the Crash Course, go to the online REA Study Center and test what you've learned. Our online practice exams (one for Calculus AB, one for Calculus BC) feature timed testing, detailed explanations of answers, and automatic scoring analysis. Each exam is balanced to include every topic and type of question found on the actual AP® exam, so you know you're studying the smart way.

Whether you're cramming for the test at the last minute, looking for an extra edge, or want to study on your own in preparation for the exams - this is the quick-review study guide every AP® Calculus AB & BC student should have.

When it’s crunch time and your Advanced Placement® exam is just around the corner, you need REA's Crash Course® for AP® Calculus AB & BC!

About the Authors

Joan Marie Rosebush teaches calculus courses at the University of Vermont. Ms. Rosebush has taught mathematics to elementary, middle school, high school, and college students. She taught AP® Calculus via satellite television to high school students scattered throughout Vermont.

Ms. Rosebush earned her Bachelor of Arts degree in elementary education, with a concentration in mathematics, at the University of New York in Cortland, N.Y. She received her Master's Degree in education from Saint Michael's College, Colchester, Vermont.

Flavia Banu graduated from Queens College of the City University of New York with a B.A. in Pure Mathematics and an M.A.in Pure Mathematics in 1997. Ms. Banu was an adjunct professor at Queens College where she taught Algebra and Calculus II. Currently, she teaches mathematics at Bayside High School in Bayside, New York, and coaches the math team for the school. Her favorite course to teach is AP® Calculus because it requires “the most discipline, rigor and creativity.”

About Our Editor and Technical Accuracy Checker

Stu Schwartz
has been teaching mathematics since 1973. For 35 years he taught in the Wissahickon School District, in Ambler, Pennsylvania, specializing in AP® Calculus AB and BC and AP® Statistics. Mr. Schwartz received his B.S. degree in Mathematics from Temple University, Philadelphia. Mr. Schwartz 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.

Mr. Schwartz’s website, www.mastermathmentor.com, is geared toward helping educators teach AP® Calculus, AP® Statistics, and other math courses. Mr. Schwartz is always looking for ways to provide teachers with new and innovative teaching materials, believing that it should be the goal of every math teacher not only to teach students mathematics, but also to find joy and beauty in math as well.

Product Details

ISBN-13: 9780738612195
Publisher: Research & Education Association
Publication date: 10/06/2016
Series: Advanced Placement (AP) Crash Course
Edition description: Second Edition, Revised
Pages: 224
Sales rank: 168,191
Product dimensions: 5.90(w) x 8.50(h) x 1.00(d)
Age Range: 16 - 17 Years

About the Author

Joan Marie Rosebush teaches calculus courses at the University of Vermont. Ms. Rosebush has taught mathematics to elementary, middle school, high school, and college students. She taught AP® Calculus via satellite television to high school students scattered throughout Vermont.

Ms. Rosebush earned her Bachelor of Arts degree in elementary education, with a concentration in mathematics, at the University of New York in Cortland, N.Y. She received her Master's Degree in education from Saint Michael's College, Colchester, Vermont.

Stu Schwartz has been teaching mathematics since 1973. For 35 years he taught in the Wissahickon School District, in Ambler, Pennsylvania, specializing in AP® Calculus AB and BC and AP® Statistics. Mr. Schwartz received his B.S. degree in Mathematics from Temple University, Philadelphia. Mr. Schwartz 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.

Mr. Schwartz’s website, www.mastermathmentor.com, is geared toward helping educators teach AP® Calculus, AP® Statistics, and other math courses. Mr. Schwartz is always looking for ways to provide teachers with new and innovative teaching materials, believing that it should be the goal of every math teacher not only to teach students mathematics, but also to find joy and beauty in math as well.

Read an Excerpt

ABOUT THIS BOOK

REA’s AP Calculus AB & BC Crash Course is a targeted test prep designed to assist you in your preparation for either version of the AP Calculus exam. This book was developed based on an in-depth analysis of both the latest AP Calculus Course Description outline as well as actual AP test questions.

Written by an AP teacher and a college professor, our easy-to-read format gives students a crash course in Calculus, for both the AB and BC exams.

Unlike other test preps, our AP Calculus AB & BC Crash Course gives you a review specifically focused on what you really need to study in order to ace the exam. The review chapters offer you a concise way to learn all the important facts, terms, and concepts before the exam.

This revised edition of AP Calculus AB & BC covers all changes to the 2017 exams: L’Hospital’s rule will now be included in Calculus AB as well as BC; absolute and conditional convergence of infinite series, the limited comparison test, and the alternating series error have been added to BC topics. In addition, multiple-choice questions will now feature four answer choices instead of five.

The introduction discusses the keys for success and shows you strategies to help you build your overall point score. Parts Two through Five are content review chapters. Here you will find the core of what you need to know for the exam. Part Six shares techniques for using the TI-83 Plus graphing calculator as well as information about the multiple-choice questions and the free-response questions. Our authors show you what you need to know in order to answer correctly the types of questions that will appear on the exams.

No matter how or when you prepare for the AP Calculus AB or BC exams, REA’s Crash Course will show you how to study efficiently and strategically, so you can get a high score.

To check your test readiness for the AP Calculus AB and BC exams, either before or after studying this Crash Course, take REA’s FREE online practice exams (1 each for AB & BC). To access your practice exams, visit the online REA Study Center at www.rea.com/studycenterand follow the on-screen instructions.

This true-to-format test features automatic scoring, detailed explanations of all answers, and diagnostic score reporting that will help you identify your strengths and weaknesses so you’ll be ready on exam day!

Table of Contents

About This Book
About Our Authors
Acknowledgments

INTRODUCTION
Chapter 1: Keys for Success on the AP Calculus AB & BC Exams

FUNCTIONS, GRAPHS, AND LIMITS
Chapter 2: Analysis of Graphs
Chapter 3: Limits of Functions
Chapter 4: Asymptotes and Unbounded Behavior
Chapter 5: Continuity as a Property of Functions
Chapter 6: Parametric, Polar, and Vector Equations

DERIVATIVES
Chapter 7: Derivatives
Chapter 8: Curve Sketching
Chapter 9: Optimization and Related Rates
Chapter 10: The Intermediate-Value Theorem, The Mean Value Theorem, and Rolle’s Theorem
Chapter 11: Newton’s Method and Euler’s Method

INTEGRALS
Chapter 12: Types of Integrals, Interpretations and Properties of Definite Integrals, Theorems
Chapter 13: Riemann Sums (LRAM, RRAM, MRAM) and the Trapezoid Rule
Chapter 14: Applications of Antidifferentiation
Chapter 15: Techniques of Integration

SEQUENCES AND SERIES
Chapter 16: Sequences and Series
Chapter 17: Taylor and Maclaurin Series

THE EXAM
Chapter 18: The Graphing Calculator
Chapter 19: The Multiple-Choice Questions
Chapter 20: The Free-Response Questions
Solutions for Practice Problems

Online Practice Exam

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