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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Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version helps you “get the idea” in your calculus course. It offers more built-in guidance than any other text available, with special emphasis on applications and prerequisite skills. If necessary, a host of features help you catch up or learn on your own; and its flexible structure makes it ideal for many different student needs. In order to emphasize problem solving, concepts, and computational skills, most derivations and proofs are omitted, except where their inclusion adds significant insight into a particular concept. The 14th Edition is enhanced by a design refresh, updated data and applications, and more. It includes Chapters 1-7 and is generally used for a 1-semester course. An expanded version of this text is available that contains Chapters 1-11 and is designed for a 2-term course in Applied Calculus.
Published by Pearson (December 11th 2020) - Copyright © 2019
ISBN-13: 9780137400126
Subject: Finite Math & Applied Calculus
Category: Applied Calculus
- 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