College Mathematics 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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Overview

College Mathematics for Business, Economics, Life Sciences, and Social Sciences offers you more built-in guidance than any other text on the subject. 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: 9780137553341

Subject: Finite Math & Applied Calculus

Category: Finite Math & Applied Calculus (Combined)

Overview

I. A Library of Elementary Functions

• 1. Linear Equations and Graphs
• 1.1 Linear Equations and Inequalities
• 1.2 Graphs and Lines
• 1.3 Linear Regression
• Chapter 1 Summary and Review
• Review Exercises
• 2. Functions and Graphs
• 2.1 Functions
• 2.2 Elementary Functions: Graphs and Transformations
• 2.4 Polynomial and Rational Functions
• 2.5 Exponential Functions
• 2.6 Logarithmic Functions
• Chapter 2 Summary and Review
• Review Exercises

II. Finite Mathematics

• 3. Mathematics of Finance
• 3.1 Simple Interest
• 3.2 Compound and Continuous Compound Interest
• 3.3 Future Value of an Annuity; Sinking Funds
• 3.4 Present Value of an Annuity; Amortization
• Chapter 3 Summary and Review
• Review Exercises
• 4. Systems of Linear Equations; Matrices
• 4.1 Review: Systems of Linear Equations in Two Variables
• 4.2 Systems of Linear Equations and Augmented Matrices
• 4.3 Gauss - Jordan Elimination
• 4.4 Matrices: Basic Operations
• 4.5 Inverse of a Square Matrix
• 4.6 Matrix Equations and Systems of Linear Equations
• 4.7 Leontief Input - Output Analysis
• Chapter 4 Summary and Review
• Review Exercises
• 5. Linear Inequalities and Linear Programming
• 5.1 Linear Inequalities in Two Variables
• 5.2 Systems of Linear Inequalities in Two Variables
• 5.3 Linear Programming in Two Dimensions: A Geometric Approach
• Chapter 5 Summary and Review
• Review Exercises
• 6. Linear Programming: The Simplex Method
• 6.1 The Table Method: An Introduction to the Simplex Method
• 6.2 The Simplex Method: Maximization with Problem Constraints of the Form ≤
• 6.3 The Dual Problem: Minimization with Problem Constraints of the Form ≥
• 6.4 Maximization and Minimization with Mixed Problem Constraints
• Chapter 6 Summary and Review
• Review Exercises
• 7. Logic, Sets, and Counting
• 7.1 Logic
• 7.2 Sets
• 7.3 Basic Counting Principles
• 7.4 Permutations and Combinations
• Chapter 7 Summary and Review
• Review Exercises
• 8. Probability
• 8.1 Sample Spaces, Events, and Probability
• 8.2 Union, Intersection, and Complement of Events; Odds
• 8.3 Conditional Probability, Intersection, and Independence
• 8.4 Bayes' Formula
• 8.5 Random Variable, Probability Distribution, and Expected Value
• Chapter 8 Summary and Review
• Review Exercises

III. Calculus

• 9. Limits and the Derivative
• 9.1 Introduction to Limits
• 9.2 Infinite Limits and Limits at Infinity
• 9.3 Continuity
• 9.4 The Derivative
• 9.5 Basic Differentiation Properties
• 9.6 Differentials
• 9.7 Marginal Analysis in Business and Economics
• Chapter 9 Summary and Review
• Review Exercises
• 10.1 The Constant e and Continuous Compound Interest
• 10.2 Derivatives of Exponential and Logarithmic Functions
• 10.3 Derivatives of Products and Quotients
• 10.4 The Chain Rule
• 10.5 Implicit Differentiation
• 10.6 Related Rates
• 10.7 Elasticity of Demand
• Chapter 10 Summary and Review
• Review Exercises
• 11. Graphing and Optimization
• 11.1 First Derivative and Graphs
• 11.2 Second Derivative and Graphs
• 11.3 L'Hôpital's Rule
• 11.4 Curve-Sketching Techniques
• 11.5 Absolute Maxima and Minima
• 11.6 Optimization
• Chapter 11 Summary and Review
• Review Exercises
• 12. Integration
• 12.1 Antiderivatives and Indefinite Integrals
• 12.2 Integration by Substitution
• 12.3 Differential Equations; Growth and Decay
• 12.4 The Definite Integral
• 12.5 The Fundamental Theorem of Calculus
• Chapter 12 Summary and Review
• Review Exercises
• 13.1 Area Between Curves
• 13.2 Applications in Business and Economics
• 13.3 Integration by Parts
• 13.4 Other Integration Methods
• Chapter 13 Summary and Review
• Review Exercises
• 14. Multivariable Calculus
• 14.1 Functions of Several Variables
• 14.2 Partial Derivatives
• 14.3 Maxima and Minima
• 14.4 Maxima and Minima Using Lagrange Multipliers
• 14.5 Method of Least Squares
• 14.6 Double Integrals over Rectangular Regions
• 14.7 Double Integrals over More General Regions
• Chapter 14 Summary and Review
• Review Exercises
• 15. Markov Chains (online at goo.gl/8SZkyn)
• 15.1 Properties of Markov Chains
• 15.2 Regular Markov Chains
• 15.3 Absorbing Markov Chains
• Chapter 15 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

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: Tables

• Table I Integration Formulas
• Table II Area under the Standard Normal Curve

Index of Applications

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