College Mathematics for Business, Economics, Life Sciences, and Social Sciences, Global Edition

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For two-semester courses in Finite Math & Applied Calculus or Mathematics for Business.

College Mathematics for Business, Economics, Life Sciences, and Social Sciences, 14th Edition offers more built-in guidance than any other text for this course – 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. Its emphasis on helping students “get the idea” is enhanced in the new edition by a design refresh, updated data and applications.

The text is organised into three parts: A Library of Elementary Functions (Chapter 1), Finite Mathematics (Chapters 2-7, 14), and Calculus (Chapters 8-13).

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
- 2.3 Quadratic Functions
- 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. Additional Derivative Topics
- 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. Additional Integration Topics
- 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
A.7 Quadratic Equations

I. A Library of Elementary Functions

II. Finite Mathematics

III. Calculus

Appendix A: Basic Algebra Review

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

Appendix C: Tables

Answers

Index

Index of Applications