Calculus And Its Applications, Global Edition

For one-semester courses in applied calculus.

Anticipating and meeting student needs
Calculus and Its Applications, Eleventh 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 visualize 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.

MyMathLab not included. Students, if MyMathLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN and course ID. MyMathLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.

MyMathLab is an online homework, tutorial, and assessment product designed to personalize learning and improve results. With a wide range of interactive, engaging, and assignable activities, students are encouraged to actively learn and retain tough course concepts.

List of contents

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 a^x and log_a 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
 
Cumulative Revi

About the author

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.

Summary

NOTE: You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you would
like to purchase both the physical text and MyMathLab, search for:

013379556X / 9780133795561 Calculus And Its Applications Plus MyMathLab with Pearson eText -- Access Card Package
Package consists of:
0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card
0321654064 / 9780321654069 MyMathLab Inside Star Sticker
0321979397 / 9780321979391 Calculus And Its Applications

MyMathLab should only be purchased when required by an instructor.
Calculus and Its Applications, Eleventh 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 visualize 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.

Product details

• Authors: Marvin Bittinger, Marvin L. Bittinger, David Ellenbogen, David J. Ellenbogen, Scott Surgent, Scott J. Surgent
• Publisher: Pearson Academic
• Languages: English
• Product format: Paperback / Softback
• Released: 31.07.2015
• EAN: 9781292100241
• ISBN: 978-1-292-10024-1
• No. of pages: 680
• Dimensions: 220 mm x 275 mm x 28 mm
• Weight: 1320 g
• Series: Pearson; Pearson
• Subjects: Education and learning > Vocational and technical college books; Natural sciences, medicine, IT, technology > Mathematics > Analysis