Calculus for Business, Economics, Life Sciences, and Social Sciences, 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 offers you more built-in guidance than any other applied calculus text available. Its coverage of the construction of mathematical models helps you develop critical tools for solving application problems. Technology coverage is optional, but discussions on using graphing calculators and spreadsheets are included where appropriate.

The 14th Edition features a brand-new, full-color redesign and updated layout to help you navigate more easily as you put in the work to learn the math. Throughout, data is updated in examples and exercises. New features include Reminder margin notes; all graphing calculator screens are updated to the TI-84 Plus CD; and much more.

ISBN-13: 9780137554805

Subject: Finite Math & Applied Calculus

Category: Applied Calculus

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

8. Trigonometric Functions

8.1 Right Triangle Trigonometry
8.2 Trigonometric Functions
8.3 Derivatives of Trigonometric Functions
8.4 Integration of Trigonometric Functions
Chapter 8 Summary and Review
Review Exercises

9. Differential Equations

9.1 Basic Concepts
9.2 Separation of Variables
9.3 First-Order Linear Differential Equations
Chapter 9 Summary and Review
Review Exercises

10. Taylor Polynomials and Infinite Series

10.1 Taylor Polynomials
10.2 Taylor Series
10.3 Operations on Taylor Series
10.4 Approximations Using Taylor Series
Chapter 10 Summary and Review
Review Exercises

11. Probability and Calculus

11.1 Improper Integrals
11.2 Continuous Random Variables
11.3 Expected Value, Standard Deviation, and Median
11.4 Special Probability Distributions
Chapter 11 Summary and Review
Review Exercises

Appendices

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
B. Special Topics (online)
B.1 Sequences, Series, and Summation Notation
B.2 Arithmetic and Geometric Sequences
B.3 Binomial Theorem
B.4 Interpolating Polynomials and Divided Differences
C. Tables
Table 1: Integration Formulas
Table 2: Area Under the Standard Normal Curve