Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
Author: Franklin D Demana
ISBN: 9781418300203
Publisher: Savvas Learning Co
Published: 2019
Binding: Hardcover
Language: English
Condition: Used: Very Good
Clean, unmarked copy with some edge wear. Good binding. Dust jacket included if issued with one. We ship in recyclable American-made mailers. 100% money-back guarantee on all orders.
A 1659753
Publisher Description:
For AP(R) Calculus AB and BC
This course is available on MyMathLab(R) for School.
The sixth edition of Calculus: Graphical, Numerical, Algebraic, AP* Edition, by Demana,
Waits, Kennedy, Bressoud, and Boardman completely supports the content, philosophy,
and goals of the Advanced Placement (AP*) Calculus courses (AB and BC).
The College Board recently finished a lengthy and thorough review of the AP* Calculus
courses to ensure that they were consistent with the best college and university courses
with similar educational goals. This review resulted in a repackaging of the course descriptions
in terms of big ideas, enduring understandings, learning objectives, and essential
knowledge, but the learning goals remained essentially the same. That allowed us to retain
the overall flow of our previous edition and concentrate our attention on how we might be
more helpful to you and your students in certain parts of the course.
A very broad look at the overall goals of this text is given in the following bulleted summary.
Although these are not explicit goals of the AP program and do not include all of the
learning objectives in the new AP Curriculum Framework, they do reflect the intentions of
the AP Calculus program. (Note that the goals preceded by an asterisk are aligned with the BC course and are not required in AB Calculus.)
- Students will be able to work with functions represented graphically, numerically, analytically,
or verbally and will understand the connections among these representations;
graphing calculators will be used as a tool to facilitate such understanding.
- Students will, in the process of solving problems, be able to use graphing calculators to
graph functions, solve equations, evaluate numerical derivatives, and evaluate numerical
integrals.
- Students will understand the meaning of the derivative as a limit of a difference quotient
and will understand its connection to local linearity and instantaneous rates of change.
- Students will understand the meaning of the definite integral as a limit of Riemann
sums and as a net accumulation of change over an interval, and they will understand and
appreciate the connection between derivatives and integrals.
- Students will be able to model real-world behavior and solve a variety of problems
using functions, derivatives, and integrals; they will also be able to communicate solutions
effectively, using proper mathematical language and syntax.
- Students will be able to represent and interpret differential equations geometrically with
slope fields and (*) numerically with Euler's method; they will be able to model dynamic
situations with differential equations and solve initial value problems analytically.
(*) Students will understand the convergence and divergence of infinite series and will
be able to represent functions with Maclaurin and Taylor series; they will be able to
approximate or bound truncation errors in various ways.
(*) Students will be able to extend some calculus results to the context of motion in the
plane (through vectors) and to the analysis of polar curves.
Changes to This Edition:
The big change in this new edition, of course, is that we welcome Michael Boardman to the author team. As a college mathematician with years of experience with the Advanced Placement (AP) program, he is well acquainted with the scope and goals of the course, and he is well versed in the mathematics that calculus students should know. Not only was Michael chief reader of the AP Calculus exams for four years, but he also served five years on the Development Committee and five years on the AP Calculus Workgroup for ETS. As perhaps his signal achievement, he founded the online discussion group for AP Calculus teachers and moderated it for a d