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Calculus and Its Applications, 8/E
Marvin L. Bittinger, Indiana University Purdue University Indianapolis

ISBN-10: 0321166396
ISBN-13: 9780321166395

Publisher: Addison-Wesley
Copyright: 2004
Format: Cloth; 648 pp
Published: 07/01/2003

Suggested retail price: $132.00
Not available for purchase at this time.

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.

  • Revised exercises provide current users with a fresh bank of material for assignments.
  • 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.
  • 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.
  • 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.
  • Algebra review included in Chapter 1 will help students recall basic algebraic skills, a common need.
  • 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.

  • The exercises have been substantially updated to include additional relevant and current topics.
  • More applications focusing on Economics and Biology have been added throughout.
  • MyMathLab is now available with the Eighth Edition of Calculus and Its Applications. MyMathLab is a complete, on-line course that provides interactive, multimedia instruction correlated to the textbook content. MyMathLab is easily customizable to suit the needs of students and instructors and provides a comprehensive and efficient on-line course-management system that allows for diagnosis, assessment, and tracking of students' progress.

(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 Functions and Models.

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.

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 a x 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: Tables.

Extended Technology Application: Financial Predictions for Sherwin-Williams, Intel, DeBrand, and the Gap.



6. Applications of Integration.

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

Applications of the Models and .

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.

    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.

  • 0321395344Calculus and Its Applications, 9/E
    Bittinger & Ellenbogen
    © 2008 | Addison-Wesley | Cloth; 704 pages | Instock
    ISBN-10: 0321395344 | ISBN-13: 9780321395344
    Brief Description | Buy from myPearsonStore

Marvin Bittinger For over thirty years Professor Marvin L. Bittinger has been teaching math at the university level. Since 1968 he has been employed as a professor of mathematics education at Indiana University - Purdue University at Indianapolis. Professor Bittinger has authored 159 publications on topics ranging from Basic Mathematics to Algebra and Trigonometry to Brief Calculus. He received his BA in Mathematics from Manchester College in 1963 and his PhD in Mathematics Education from Purdue University in 1968. Special honors include being Distinguished Visiting Professor at the United States Air Force Academy and being elected to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking, baseball, golf, and bowling and he enjoys membership in the Professional Bowler's Association and the Society for the Advancement of Baseball Research.

Professor Bittinger has also had the privilege of speaking at a recent mathematics convention giving a lecture entitled, Baseball and Mathematics. In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has two grown and married sons, Lowell and Chris, and three grandchildren.

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