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Calculus from Graphical, Numerical, and Symbolic Points of View
Arnold Ostebee, Paul Zorn,
Publisher: Harcourt College Pub
ISBN: 0030106036   Edition: Paperback; 1995-06

Summary:

This flexible series offers instructors a true balance of traditional
and conceptual approaches to calculus for math, science, and
engineering majors. The Second Edition continues to focus on
conceptual understanding as its primary goal and combines a variety
of approaches and viewpoints to help students achieve this
understanding. In addition to providing a readable tone that appeals
to students and supports independent work, the authors present a
balance of traditional theorems and proofs along with conceptually
driven examples and exercises featuring graphical, numerical, and
symbolic points of view. In addition, the text offers a wealth of
diverse, well-graded exercises, including some more challenging
problems.Varied exercise sets feature Basic Exercises, which help
reinforce a single concept, and Further Exercises, which provide more
challenge, requiring the synthesis of several ideas, deeper or more
sophisticated understanding of basic concepts, or better symbol
manipulation skills. Guidelines on how to assign the exercises can be
found in the Instructor's Resource Manual.Topics are presented first
using graphs and then through symbols.Selective emphasis on proofs
presents discussion of only those proofs that contribute
significantly to the understanding of calculus concepts.Derivatives
appear earlier in the text, first in Section 1.4. Chapter 1 now
includes complete coverage of the graphical point of view, Chapter 2
introduces and interprets the symbolic point of view, and Chapter 3
presents the combinatorial rules for calculating derivatives (e.g.,
the product and quotient rules).Coverage of Differential Equations
appears earlier and more frequently than in the first edition.
Section 2.5 presents the basic idea (a few sections after introducing
the ideas of derivative and antiderivative in symbolic
form).Chapter-ending Interludes—brief project-oriented expositions
with exercises designed for independent student work—address topics
or questions that are 'optional' or out of the given chapter's main
stream of development.

Book Details:

Edition Info: Paperback; 1995-06

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