Marvin L. Bittinger, David J. Ellenbogen, Scott J. Surgent

Calculus And Its Applications, Global Edition (eBook, PDF)

• Format: PDF

Produktbeschreibung

For one-semester courses in applied calculus.

Calculus and Its Applications, 11th Edition, remains a best-selling text because of its accessible presentation that anticipates student needs. The writing style is ideal for today's students, providing intuitive explanations that work with the carefully crafted artwork to help them visualise new calculus concepts. Additionally, the text's numerous and up-to-date applications from business, economics, life sciences, and social sciences help motivate students. Algebra diagnostic and review material is available for those who need to strengthen basic skills. Every aspect of this revision is designed to motivate and help students to more readily understand and apply the mathematics.

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Produktdetails

• Verlag: Pearson HigherEducation
• Seitenzahl: 676
• Altersempfehlung: ab 18 Jahre
• Erscheinungstermin: 22. Juli 2015
• Englisch
• ISBN-13: 9781292100258
• Artikelnr.: 43437322

Autorenporträt

Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University Purdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999.

Inhaltsangabe

R. Functions, Graphs, and Models
R.1 Graphs and Equations
R.2 Functions and Models
R.3 Finding Domain and Range
R.4 Slope and Linear Functions
R.5 Nonlinear Functions and Models
R.6 Mathematical Modeling and Curve Fitting
   Chapter Summary
   Chapter Review Exercises
   Chapter Test
   Extended Technology Application Average Price of a Movie Ticket
 
1. Differentiation
1.1 Limits: A Numerical and Graphical Approach
1.2 Algebraic Limits and Continuity
1.3 Average Rates of Change
1.4 Differentiation Using Limits of Difference Quotients
1.5 The Power and Sum—Difference Rules
1.6 The Product and Quotient Rules
1.7 The Chain Rule
1.8 Higher-Order Derivatives
   Chapter Summary
   Chapter Review Exercises
   Chapter Test
   Extended Technology Application–Path of a Baseball: The Tale of the Tape
 
2. Applications of Differentiation
2.1 Using First Derivatives to Classify Maximum and Minimum Values and
Sketch Graphs
2.2 Using Second Derivatives to Classify Maximum and Minimum Values and
Sketch Graphs
2.3 Graph Sketching: Asymptotes and Rational Functions
2.4 Using Derivatives to Find Absolute Maximum and Minimum Values
2.5 Maximum—Minimum Problems; Business, Economics, and General Applications
2.6 Marginals and Differentials
2.7 Elasticity of Demand
2.8 Implicit Differentiation and Related Rates
   Chapter Summary
   Chapter Review Exercises
   Chapter Test
   Extended Technology Application–Maximum Sustainable Harvest
 
3. Exponential and Logarithmic Functions
3.1 Exponential Functions
3.2 Logarithmic Functions
3.3 Applications: Uninhibited and Limited Growth Models
3.4 Applications: Decay
3.5 The Derivatives of ax and loga x
3.6 A Business Application: Amortization
   Chapter Summary
   Chapter Review Exercises
   Chapter Test
   Extended Technology Application–The Business of Motion Picture Revenue
and DVD Release
 
4. Integration
4.1 Antidifferentiation
4.2 Antiderivatives as Areas
4.3 Area and Definite Integrals
4.4 Properties of Definite Integrals
4.5 Integration Techniques: Substitution
4.6 Integration Techniques: Integration by Parts
4.7 Integration Techniques: Tables
   Chapter Summary
   Chapter Review Exercises
   Chapter Test
   Extended Technology Application–Business: Distribution of Wealth
 
5. Applications of Integration
5.1 Consumer Surplus and Producer Surplus
5.2 Integrating Growth and Decay Models
5.3 Improper Integrals
5.4 Probability
5.5 Probability: Expected Value; The Normal Distribution
5.6 Volume
5.7 Differential Equations
   Chapter Summary
   Chapter Review Exercises
   Chapter Test
   Extended Technology Application–Curve Fitting and Volumes of Containers
 
6. Functions of Several Variables
6.1 Functions of Several Variables
6.2 Partial Derivatives
6.3 Maximum—Minimum Problems
6.4 An Application: The Least-Squares Technique
6.5 Constrained Optimization
6.6 Double Integrals
   Chapter Summary
   Chapter Review Exercises
   Chapter Test
   Extended Technology Application–Minimizing Employees’ Travel Time in a
Building
 
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