Calculus and Its Applications
7th Edition
Published on 9. December 1999
Book
Hardback
569 pages
978-0-201-33864-5 (ISBN)
Description
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.
More details
Edition
7th edition
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Dimensions
Height: 261 mm
Width: 211 mm
Thickness: 27 mm
Weight
1368 gr
ISBN-13
978-0-201-33864-5 (9780201338645)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
Marvin L. Bittinger
Calculus and Its Applications
Book
07/2003
8th Edition
Addison Wesley
€97.79
Article exhausted; check for reprint
Previous edition
Marvin L. Bittinger
Calculus and its Applications
Book
08/1998
6th Edition
Pearson
€47.03
Article exhausted; check for reprint
Content
(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.
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.