Calculus: Concepts and Applications

Age Range: 16-Adult
Author: Paul Foerster

Publication Date: 1997
Cost: $54.95

Publisher: Key Curriculum Press
Phone:1-800-995-MATH

Publisher's Description:

Introducing a Textbook Written Specifically for AP Calculus by a High School Teacher. Developed specifically with the high school student in mind, but with all the content of a college-level course, Calculus: Concepts and Applications takes full advantage of graphing calculator technology.

Traditionally, calculus was entirely dependent on algebraic manipulation for finding derivatives and integrals. The advent of the graphing calculator makes it feasible to use numerical and graphical methods that are more directly related to the concepts than are algebraic methods.

In Calculus: Concepts and Applications, calculus is presented as a study of just four fundamental concepts-limits, derivatives, and two kinds of integrals. From day one students work on learning these concepts using a four-pronged approach: numerical, graphical, algebraical, and verbal-whichever is appropriate. With these approaches realistic applications are possible, such as fitting the logistic equation to actual census data. As a result, students with a wider range of abilities can be successful in calculus, not just those strong in algebra.

Rather than being simply an adaptation of a traditional algebra-oriented text, Calculus: Concepts and Applications has been written from the ground up assuming that every student has a graphing calculator available at all times. Also included is material for cooperative learning, long-term projects, and journal writing.

The first chapter gives an overview of the entire course. Formal definitions are expected to be mastered, but are not presented until students are already familiar with the concepts. Algebraic techniques are used to verify conjectures made on the basis of analysis of graphs and tables.

The first 10 chapters include the material specified for the AB calculus course. Chapters 11 and 12 include the remaining topics for BC calculus.

Most chapters of Calculus: Concepts and Applications begin with an exploratory problem set for students to do as homework or classwork following the test on the preceding chapter. In other cases, step-by-step problems lead students to such discoveries as conjecturing the chain rule or learning the cylindrical shell volume technique. "Quickie" problems at the beginnings of most problem sets give students five-minute reviews that help prepare them for objective tests and contest mathematics.

The Solutions Manual provides complete solutions for all problems.

The Instructor's Guide provides detailed teaching notes for each section of the text

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