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Calculus and Its Applications, 7/E
Marvin L. Bittinger, Indiana University Purdue University Indianapolis

ISBN-10: 0201338645
ISBN-13: 9780201338645

Publisher: Pearson
Copyright: 2000
Format: Cloth; 569 pp
Published: 10/18/1999

The Seventh Edition of Calculus and Its Applications builds on its reputation as one of the most student-oriented and clearly written Applied Calculus texts available. The optional use of technology has been significantly increased in the Seventh Edition. The content has been streamlined, applications and exercises have been updated, including new data sources where appropriate, and the presentation of topics has been modernized through the use of technology.

This product accompanies:
Bittinger, Calculus and Its Applications, 8/E

The seventh edition incorporates more technology-related exercises.

Extended Technology Applications at the end of each chapter use real applications and real data, and require a step-by-step analysis that lends itself well to group work.

Revised exercises provide current users with a fresh bank of material for assignments.

Technology Connections are used throughout, to encourage the use of technology in exploring problem situations.

Applications are grouped by discipline within the exercise sets, using such headings as Life/Physical Science, Social Science, General Interest, etc., to show students the relevance of calculus to other disciplines.

An Index of Applications provides a quick reference for assigning problems.

The completely revised algebra review included in Chapter 1 will help students recall basic algebraic skills, a common need.

The text incorporates a careful, gradual introduction to differentiation, with relative and absolute maxima and minima covered in separate sections. Students will benefit by gradually building up these topics, as they consider graphing using calculus concepts.

Section objectives are stated in the margin, providing a road map of each section for students and instructors.

The end-of-section material includes: Skill and drill exercises, Applications, Synthesis, Thinking/Writing exercises and Graphing calculator exercises.

The end-of-chapter material includes: Terms to Know, with page references, Review exercises, including applications, Synthesis exercises, Thinking/Writing exercises, and Chapter Test. Extended Technology Application.

(Each chapter concludes with a Summary and Review, and a Chapter Test.)

1. Functions, Graphs, and Models.

Graphs and Equations.

Functions and Models.

Finding Domain and Range.

Slope and Linear Functions.

Other Types of Functions.

Mathematical Modeling and Curve Fitting.

Extended Technology Application: The Ecological Effect of Global Warming.

2. Differentiation.

Limits and Continuity: Numerically and Graphically.

Limits Algebraically.

Average Rates of Change.

Differentiation Using Limits of Difference Quotients.

Differentiation Techniques: The Power and Sum-Difference Rules.

Instantaneous Rates of Change; Business Applications.

Differentiation Techniques: The Product and Quotient Rules.

The Chain Rule.

Higher-Order Derivatives.

Extended Technology Application: Path of a Baseball: The Tale of the Tape.

3. Applications of Differentiation.

Using First Derivatives to Find Maximum and Minimum Values and Sketch Graphs.

Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs.

Graph Sketching: Asymptotes and Rational Functions.

Using Derivatives to Find Absolute Maximum and Minimum Values.

Maximum-Minimum Problems; Business and Economic Applications.

Differentials.

Implicit Differentiation and Related Rates.

Extended Technology Application: Maximum Sustainable Harvest.

4. Exponential and Logarithmic Functions.

Exponential Functions.

Logarithmic Functions.

Applications: The Uninhibited Growth Model, dP/dt = kP.

Applications: Decay.

The Derivatives of ax and logax.

An Economics Application: Elasticity of Demand.

Extended Technology Application: The Business of Motion Picture Box-Office Revenue.

5. Integration.

Integration.

Area and Definite Integrals.

Limits of Sums and Accumulations.

Properties of Definite Integrals.

Integration Techniques: Substitution.

Integration Techniques: Integration by Parts.

Integration Techniques: Using Tables.

Extended Technology Application: Total Sales of Sherwin-Williams, Intel, Sprint, and The Gap.

6. Applications of Integration.

An Economics Application: Consumer's Surplus and Producer's Surplus.

Applications of the Models P e dt and P e dt.

Improper Integrals.

Probability.

Probability: Expected Value; The Normal Distribution.

Volume.

Differential Equations.

Extended Technology Application: Curve Fitting and the Volume of a Bottle of Soda.

7. Functions of Several Variables.

Functions of Several Variables.

Partial Derivatives.

Higher-Order Partial Derivatives.

Maximum-Minimum Problems.

An Application: The Least-Squares Technique.

Constrained Maximum and Minimum Values: Lagrange Multipliers.

Multiple Integration.

Extended Technology Application: Minimizing Employees' Travel Time in a Building.

Cumulative Review.

Appendix Review of Basic Algebra.

Tables.

Integration Formulas.

Areas for a Standard Normal Distribution.

Answers.

Index.

Applied Calculus (Mathematics)

Calculus and Its Applications, 8/E
Bittinger
©2004 | Pearson | Cloth; 648 pp | Instock
ISBN-10: 0321166396 | ISBN-13: 9780321166395
Suggested retail price: $140.00 Net price: $105.00 (What's this?)Brief Description

The Eighth Edition of Calculus and Its Applications builds on its reputation as one of the most student-oriented and clearly written Applied Calculus texts available. The exercises have been substantially updated to include additional relevant and current topics.
Calculus and Its Applications, 9/E
Bittinger & Ellenbogen
©2008 | Pearson | Cloth; 704 pp | Instock
ISBN-10: 0321395344 | ISBN-13: 9780321395344
Net price: $105.00 (What's this?)Brief Description

Calculus and Its Applications has, for years, been a best-selling text for one simple reason: it anticipates, then meets the needs of today's applied calculus student. Knowing that calculus is a course in which students typically struggle--both with algebra skills and visualizing new calculus concepts--Bittinger and Ellenbogen speak to students in a way they understand, taking great pains to provide clear and careful explanations. Since most students taking this course will go on to careers in the business world, large quantities of real data, especially as they apply to business, are included as well.

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ISBN-10: 020170272X | ISBN-13: 9780201702729

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