Pearson - Calculus with Applications, 7/E - Margaret L. Lial, Raymond N. Greenwell & Nathan P. Ritchey

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Calculus with Applications, 7/E
Margaret L. Lial, American River College
Raymond N. Greenwell, Hofstra University
Nathan P. Ritchey, Youngstown State University

ISBN-10: 0201773252
ISBN-13: 9780201773255

Publisher: Pearson
Copyright: 2002
Format: Cloth Package; 816 pp
Published: 07/02/2001

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Description

Calculus with Applications was written for the one- or two-semester applied calculus course for students majoring in a variety of fields—business, economics, social science, and biological and physical science. Widely known for incorporating interesting, relevant, and realistic applications, this new edition now offers many more real applications citing current data sources. The new edition now offers more opportunities for use of technology, allowing for increased visualization and a better understanding of difficult concepts. A dedicated Web site rounds out the teaching and learning package, offering extended applications from the book, skill mastery quizzes, and graphing calculator programs tied to the text.

Features

NEW - NEW! All New Design. We have redesigned the text and now feature a four-color format for improved readability and understanding.

NEW - NEW! A new chapter on Sequences and Series is now included in this edition for those schools that choose to cover this material in their course.

UPDATED! Variety of Applications—with real data from current sources, applied exercises are grouped by subject and highlighted for easy identification; Extended Applications, for extra credit, class projects, and group work appear at end of most chapters and in the Instructor's Guide.

UPDATED! Exercise Sets. Includes exercises from CPA and actuarial exams (and problems from Japan's university entrance exam) showing how math is used in variety of areas and around the globe.

NEW - NEW! Spreadsheets have now been included in examples and exercises as appropriate allowing students to work problems that closely relate to real life and business situations.

Optional Graphing Calculator Integration. Graphing calculator discussions and TI-83 Plus screens are used in many examples. This edition offers increased opportunities for use of a graphing calculator.

Writing Exercises. Includes exercises requiring writing and conceptualization to promote critical thinking, deeper understanding, and to integrate concepts and skills.

Cautions/Notes warn student of common errors/misconceptions and/or offer additional useful information.

Marginal Reviews provide immediate review, or refer students to appropriate review sections as needed.

Section Opening Questions are thought-provoking questions which are revisited again within the section.

Chapter R, Algebra Reference begins the text allowing students to brush up on their algebra skills.

Connection Exercises, denoted with an icon, integrate topics/concepts from different sections

Just-in-Time Algebra is a student supplement which provides a review of algebra material as it is needed for the applied calculus topics.

InterAct MathXL is available with this book for the first time. MathXL is a Web-based testing and tutorial system designed to help students improve their mathematical skills. Students take a test, and MathXL provides an individualized study plan. Instructors have access to complete test results tracking. MathXL also allows instructors to upload custom TestGen-EQ tests.

Table of Contents

R. Algebra Reference.

R.1 Polynomials.

R.2 Factoring.

R.3 Rational Expressions.

R.4 Equations.

R.5 Inequalities.

R.6 Exponents.

R.7 Radicals.

1. Linear Functions.

Slopes and Equations of Lines.

Linear Functions and Applications.

The Least Squares Line.

2. Nonlinear Functions.

Properties of Functions.

Quadratic Functions; Translation and Reflection.

Polynomial and Rational Functions.

Exponential Functions.

Logarithmic Functions.

Applications. Growth and Decay; Mathematics of Finance.

3. The Derivative.

Limits.

Continuity.

Rates of Change.

Definition of the Derivative.

Graphical Differentiation.

4. Calculating the Derivative.

Techniques for Finding Derivatives.

Derivatives of Products and Quotients.

The Chain Rule.

Derivatives of Exponential Functions.

Derivatives of Logarithmic Functions.

5. Graphs and the Derivative.

Increasing and Decreasing Functions.

Relative Extrema.

Higher Derivatives, Concavity, and the Second Derivative Test.

Curve Sketching.

6. Applications of the Derivative.

Absolute Extrema.

Applications of Extrema.

Further Business Applications: Economic Lot Size, Economic Order Quantity; Elasticity of Demand.

Implicit Differentiation.

Related Rates.

Differentials: Linear Approximation.

7. Integration.

Antiderivatives.

Substitution.

Area and the Definite Integral.

The Fundamental Theorem of Calculus.

The Area Between Two Curves.

Numerical Integration.

8. Further Techniques and Applications of Integration.

Integration by Parts.

Volume and Average Value.

Continuous Money Flow.

Improper Integrals.

9. Multivariable Calculus.

Functions of Several Variables.

Partial Derivatives.

Maxima and Minima.

Lagrange Multipliers.

Total Differentials and Approximations.

Double Integrals.

10. Differential Equations.

Solutions of Elementary and Separable Differential Equations.

Linear First-Order Differential Equations.

Euler's Method.

Applications of Differential Equations.

11. Probability and Calculus.

Continuous Probability Models.

Expected Value and Variance of Continuous Random Variables.

Special Probability Density Functions.

12. Sequences and Series.

Geometric Sequences.

Annuities: An Application of Sequences.

Taylor Polynomials at 0.

Infinite Series.

Taylor Series.

Newton's Method.

L'Hôpital's Rule.

13. The Trigonometric Functions.

Definitions of the Trigonometric Functions.

Derivatives of Trigonometric Functions.

Integrals of Trigonometric Functions.

Tables.

Table 1. Formulas from Geometry.

Table 2. Area Under a Normal Curve.

Table 3. Integrals.

Table 4. Integrals Involving Trigonometric Functions.

Courses

Applied Calculus (Mathematics)

Next Edition(s)

Calculus with Applications, 10/E
Lial, Greenwell & Ritchey
©2012 | Pearson | Cloth; 832 pp | Instock
ISBN-10: 0321749006 | ISBN-13: 9780321749000
Net price: $118.00 (What's this?)Brief Description |
Calculus with Applications, Tenth Edition (also available in a Brief Version containing Chapters 1–9) by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers. With this edition, students will find new ways to get involved with the material, such as “Your Turn” exercises and “Apply It” vignettes that encourage active participation. The MyMathLab^® course for the text provides additional learning resources for students, such as video tutorials, algebra help, step-by-step examples, and graphing calculator help. The course also features many more assignable exercises than the previous edition.
More Info
Calculus with Applications, 9/E
Lial, Greenwell & Ritchey
©2008 | Pearson | Cloth; 948 pp | Instock
ISBN-10: 0321421329 | ISBN-13: 9780321421326
Net price: $118.00 (What's this?)Brief Description |
Lial, Greenwell, and Ritchey continue their tradition of integrating relevant, realistic applications with current data sources to provide an application-oriented text for students majoring in business, management, economics, or the life or social sciences. The many opportunities for technology use allow for increased visualization and a better understanding of difficult concepts. In addition to MyMathLab^®, a complete online course solution, a comprehensive series of video lectures is available for this text.
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Calculus with Applications

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MyMathLab/MyStatLab -- Instructor Access Card, 4/E
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Student Solutions Manual, 7/E
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Algebra Review Study Card, 2/E
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Just-in-Time Algebra for Students of Calculus in the Management and Life Sciences, 2/E
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Center for Excellence Sticker
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Wheel
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Spanish Basic Math Study Card
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Calculus with Applications, 7/E