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AP Calculus AB/BC (REA)- The Best Test Prep for (Advanced Placement (AP) Test Preparation) Paperback – January 5, 2007

ISBN-13: 978-0738602493 ISBN-10: 0738602493

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Product Details

  • Series: Advanced Placement (AP) Test Preparation
  • Paperback: 544 pages
  • Publisher: Research & Education Association (January 5, 2007)
  • Language: English
  • ISBN-10: 0738602493
  • ISBN-13: 978-0738602493
  • Product Dimensions: 10 x 6.8 x 1.6 inches
  • Shipping Weight: 1.6 pounds
  • Amazon Best Sellers Rank: #2,162,272 in Books (See Top 100 in Books)

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Excerpt. © Reprinted by permission. All rights reserved.

EXCELLING ON THE

AP CALCULUS AB & BC EXAMS

 

ABOUT THIS BOOK

 

This book 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 exams. 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 fully clarify the material for you. By using the subject reviews, completing all the appropriate practice exams for Calculus AB or 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 on exam day.

 

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.

 

FORMAT OF THE AP CALCULUS AB & BC EXAMS

 

The AP Calculus AB & BC exams are each approximately three hours and fifteen minutes long. The exams are divided into two sections. Each section of both exams is timed and completed separately, and each counts for half of the student’s score.

 

Section  Part  Number of    Question        Type                      Calculator**                  Time

                        Questions      Numbers*

I              A          28                1–28          Multiple-choice              No                           55 min

               B          17               76 –92        Multiple-choice         Required                     50 min

 

II            A            3                  1–3          Free response             Required                     45 min

               B            3                 4 –6          Free response                 No                           45 min

 

Total                                      45 + 6                                                                     3 hr 15min                                                                                                                          

 

Note: *Oddly enough, Q1–28 are question numbers 1–28

                                     Q29 – 45 are question numbers 76 –92

**If you finish Section II Part B early, you may return to Section II Part A. However, you do NOT get to use your calculator.

 

 

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 Macl...

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