immediately by answers and solutions.
This review is followed by further practice: (1) Chapter 11, which includes a set of multiple-
choice questions on miscellaneous topics and an answer key; (2) Chapter 12, a set of miscellaneous
free-response problems that are intended to be similar to those in Section II of the AP examinations.
They are followed by solutions.
The next part of the book, titled Practice Examinations: Sections I and II, has three AB and three
BC practice exams that simulate the actual AP examinations. Each is followed by answers and
explanations.
In this book, review material on topics covered only in Calculus BC is preceded by an asterisk
(*), as are both multiple-choice questions and free-response-type problems that are likely to occur
only on a BC Examination.
THE TEACHER WHO USES THIS BOOK WITH A CLASS may profitably do so in any of several ways. If
the book is used throughout a year’s course, the teacher can assign all or part of each set of multiple-
choice questions and some miscellaneous exercises after the topic has been covered. These sets can
also be used for review purposes shortly before examination time. The Practice Examinations will
also be very helpful in reviewing toward the end of the year. Teachers may also assemble
examinations by choosing appropriate problems from the sample Miscellaneous Practice Questions in
Chapters 11 and 12.
STUDENTS WHO USE THIS BOOK INDEPENDENTLY will improve their performance by studying the
illustrative examples carefully and trying to complete practice problems before referring to the
solution keys.
Since many FIRST-YEAR MATHEMATICS COURSES IN COLLEGES follow syllabi much like that proposed
by the College Board for high-school Advanced Placement courses, college students and teachers
may also find the book useful.
FLASH CARDS
Being able to answer AP exam questions quickly and correctly depends in part on knowing many
fundamental facts, such as
- common math formulas (e.g., area, volume, trig identities);
- definitions of key terms (e.g., continuous, differentiable, integrable);
- important theorems (e.g., Mean Value Theorem, Fundamental Theorem of Calculus); and
- derivatives and antiderivatives of common functions.
Barron’s AP Calculus Flash Cards (ISBN 9780764194214) provide a great way to study these facts
and more. Over 300 cards will help you learn the most important information you’ll need to know for
the AP Calculus examination.