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Fundamentals of Calculus



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Author: Carla C. Morris

Publisher: Wiley

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Publish Date: August 17, 2015

ISBN-10: 111901526X

Pages: 368

File Type: PDF

Language: English

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Book Preface

A fundamental calculus course is a staple for students in Business, Economics, and the Natural, Social, and Environmental Sciences, among others. Most topics within this book parallel conventional texts, and they appear here directly, unimpeded by lengthy examples, explanations, data, irrelevances, and redundancies. Examples are the primary means to illustrate concepts and techniques as students readily respond to them. While there are ample Exercises and Supplementary Exercises, distracting abundance is avoided. Arrow symbols interspersed in the text, UP ( ↑ ) and DOWN ( ↓ ), are used to signal student tips, insights, and general information much as an instructor might to students in class to help their understanding. UP arrows modestly increase text depth while DOWN arrows expand aid to students.

Students often question the importance and usefulness of calculus, and some find math courses confusing and difficult. To address such issues, one goal of the text is for students to understand that calculus techniques involve basic rules used in combinations to solve complex problems. The challenge to students is to disassemble problems into manageable components. For example, a derivative of [(f(x)g(x))/h(x)]r. The text encourages students to use power, quotient, and product rules for solutions. Another goal is to encourage students to understand calculus as the mathematics of change. To help, text examples guide students in modeling skills.

The elements of finite calculus lacking in most texts is a feature in this book, which serves multiple purposes. First, it offers an easier introduction by focusing on “change” and enables students to compare corresponding topics with differential calculus.Many may argue that it is the more natural calculus for social and other sciences. Besides, and equally important, finite calculus lends itself to modeling and spreadsheets. In Chapters 2 and 5, finite calculus is applied to marginal economic analysis, finance, growth, and decay.

Each chapter begins with an outline of sections,main topics of discussion, and examples. The outline displays topical chapter coverage and aids in finding items of particular interest. The Historical Notes sketch some of the rich 4000-year history of mathematics and its people.


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