Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version

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

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Overview

Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version, offers more built-in guidance than any other text in its field — with special emphasis on applications and prerequisite skills — and a host of user-friendly features to help you catch up or learn on your own.

Published by Pearson (December 11th 2020) - Copyright © 2019

ISBN-13: 9780137400126

Subject: Finite Math & Applied Calculus

Category: Applied Calculus

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

Your questions answered

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