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Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version, 14th edition

  • Raymond A. Barnett
  • Michael R. Ziegler
  • Karl E. Byleen
  • Christopher J Stocker

Published by Pearson (January 12th 2018) - Copyright © 2019

14th edition

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Overview

For one-semester courses in Calculus.


Helps students “get the idea.”

Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version, 14th Edition offers more built-in guidance than any other text in its field — with special emphasis on applications and prerequisite skills — and a host of student-friendly features to help students catch up or learn on their own. The text’s emphasis on helping students “get the idea” is enhanced in the new edition by a design refresh, updated data and applications, and a robust MyLab™ Math course.


Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version contains Chapters 1-8 and is designed for a one-term course in Applied Calculus. The full version of Calculus for Business, Economics, Life Sciences, and Social Sciences, 14th Edition includes Chapters 1-11 and is generally used for a 2-semester course.

 

Also available with MyLab Math

By combining trusted author content with digital tools and a flexible platform, MyLab™ Math personalizes the learning experience and improves results for each student.


Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.


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0134862643 /  9780134862644  Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version, and MyLab Math with Pearson eText – Title-Specific Access Card Package, 14/e

Package consists of:

  • 0134851994 / 9780134851990  Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version
  • 0134856597 / 9780134856599  MyLab Math with Pearson eText - Standalone Access Card - for Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version 

Table of contents

Preface

Diagnostic Prerequisite Test


1. Functions and Graphs

1.1 Functions 

1.2 Elementary Functions: Graphs and Transformations 

1.3 Linear and Quadratic Functions

1.4 Polynomial and Rational Functions 

1.5 Exponential Functions 

1.6 Logarithmic Functions 

Chapter 1 Summary and Review

Review Exercises 


2. Limits and the Derivative

2.1 Introduction to Limits 

2.2 Infinite Limits and Limits at Infinity 

2.3 Continuity 

2.4 The Derivative 

2.5 Basic Differentiation Properties 

2.6 Differentials 

2.7 Marginal Analysis in Business and Economics 

Chapter 2 Summary and Review

Review Exercises 


3. Additional Derivative Topics 

3.1 The Constant e and Continuous Compound Interest 

3.2 Derivatives of Exponential and Logarithmic Functions 

3.3 Derivatives of Products and Quotients 

3.4 The Chain Rule 

3.5 Implicit Differentiation 

3.6 Related Rates

3.7 Elasticity of Demand 

Chapter 3 Summary and Review 

Review Exercises 


4. Graphing and Optimization

4.1 First Derivative and Graphs

4.2 Second Derivative and Graphs

4.3 L’Hôpital’s Rule 

4.4 Curve-Sketching Techniques 

4.5 Absolute Maxima and Minima 

4.6 Optimization 

Chapter 4 Summary and Review 

Review Exercises 


5. Integration 

5.1 Antiderivatives and Indefinite Integrals 

5.2 Integration by Substitution

5.3 Differential Equations; Growth and Decay

5.4 The Definite Integral 

5.5 The Fundamental Theorem of Calculus 

Chapter 5 Summary and Review

Review Exercises 


6. Additional Integration Topics

6.1 Area Between Curves

6.2 Applications in Business and Economics 

6.3 Integration by Parts 

6.4 Other Integration Methods 

Chapter 6 Summary and Review 

Review Exercises 


7. Multivariable Calculus

7.1 Functions of Several Variables 

7.2 Partial Derivatives 

7.3 Maxima and Minima 

7.4 Maxima and Minima Using Lagrange Multipliers

7.5 Method of Least Squares 

7.6 Double Integrals over Rectangular Regions 

7.7 Double Integrals over More General Regions 

Chapter 7 Summary and Review 

Review Exercises  


Appendix A: Basic Algebra Review 

A.1 Real Numbers 

A.2 Operations on Polynomials 

A.3 Factoring Polynomials 

A.4 Operations on Rational Expressions   

A.5 Integer Exponents and Scientific Notation 

A.6 Rational Exponents and Radicals   

A.7 Quadratic Equations 


Appendix B: Special Topics (online at goo.gl/mjbXrG)

B.1 Sequences, Series, and Summation Notation

B.2 Arithmetic and Geometric Sequences 

B.3 Binomial Theorem 

B.4 Interpolating Polynomials and Divided Differences 


Appendix C: Integration Using Tables


Answers 

Index

Index of Applications 

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