Barrons AP Calculus

Diagnostic tests for both AB and BC Calculus are practice AP exams. They
are followed by solutions keyed to the corresponding topical review chapter.
Topical Review and Practice includes 10 chapters with notes on the main
topics of the Calculus AB and BC syllabi and with numerous carefully worked-
out examples. Each chapter concludes with a set of multiple-choice questions,
usually divided into calculator and no-calculator sections, followed 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.
NOTE: In order to give you the truest experience, our practice tests mirror the
format of the actual AP Exam: the right number of questions, multiple-choice
with four choices, and correct time limits. In our Topical Review sections,
though, you’ll find that the multiple-choice questions have five choices. That
extra choice makes these review questions a bit more challenging, and we think
that provides great preparation for earning your best possible score on the AP
Exam.
In this book, review material on topics covered only in Calculus BC is
indicated by a BC icon and vertical line in the margin, 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