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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > General
Designed to enhance a traditional calculus curriculum, this text
offers guidance in utilizing Mathematica to explore calculus
concepts. Focusing on the process of mathematics rather than on
finding single right answers, this book involves students in
actively observing and analyzing mathematical principles using
Mathematica to handle the manipulative work. With this text,
students should learn to utilize Mathematica - particularly its
numerical, symbolic, and graphing capabilities - to discover for
themselves why mathematical principles work as they do, building
stronger conceptual understanding in the process. The topics
addressed involve sophisticated mathematics but also produce
pictorial results, engaging students in the ideas and increasing
their ability to view them geometrically. The activities should
also develop students' sophistication in choosing and employing
technology effectively.
This is a print version of worked-out solutions for select
odd-numbered problems found in the text. Electronic version
included in Calculus: An Interactive Version.
Applied Calculus fully embraces the "reform" being called for in
calculus teaching and learning. All key concepts are presented
following the Rule of Three: from a graphical, numerical, and
algebraic viewpoint, encouraging students to visualize, verbalize
and write. By always bringing these viewpoints to bear on each
topic, the text presents a conceptual understanding of the calculus
that is deep and flexible enough to accommodate the many diverse
business and science applications presented. The graphing
calculator is fully integrated to make these viewpoints and the
applications more accessible. Features: * Technology is fully
integrated throughout the text and is used to assist the students
to think about the geometric and numerical meaning of calculus,
without undermining the algebraic aspects. When applicable,
examples are demonstrated with graphing calculators. In almost all
cases, they represent opportunities for the instructor to have the
students reproduce these screens on their graphing calculators,
making the student an active partner in the learning process. *
Procedures and definitions evolve from the investigation of
section-opening applications. These applications are extensive,
varied, referenced, and realistic and allow topics to be taught
using an investigative, exploratory approach. * Extensive exercises
involving writing, exploration, and creativity are given to help
students gain better problem-solving skills. Meaningful
applications, drawn from a variety of fields, are given for all the
mathematics that is presented to motivate the students. Many of the
applications are referenced from the modern day journals and
articles. * "Explorations", individual or group projects, and
writing exercises present students with the opportunity to learn
through their own investigations, explore their interests, and
increase their communication skills, both inside and outside the
classroom.
COLLEGE ALGEBRA AND CALCULUS: AN APPLIED APPROACH, International
Edition, the newest addition to the Larson Applied math family,
allows your students to feel confident moving from college algebra
to applied calculus. The mathematical concepts and applications are
consistently presented in the same tone and pedagogy. The
combination of these two subjects into one text will not only save
you time in your course, but it will also save your students the
cost of an extra textbook.
This manual contains solutions to odd-numbered Section Exercises,
selected Chapter Review Exercises, odd-numbered Discussion
Exercises and all Chapter Test Exercises--giving you a way to check
your answers and ensure that you took the correct steps to arrive
at an answer.
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