College Mathematics for Business, Economics, Life Sciences, and Social Sciences, 14th edition

Published by Pearson (August 1, 2021) © 2019

  • Raymond A. Barnett Merritt College
  • Michael R. Ziegler Marquette University
  • Karl E. Byleen Marquette University
  • Christopher J. Stocker Marquette University

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ISBN-13: 9780137553341 (2021 update)
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College Mathematics for Business, Economics, Life Sciences, and Social Sciences helps you “get the idea” in your finite math & applied calculus or mathematics for business 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. It is organized into 3 parts: A Library of Elementary Functions (Chapters 1-2), Finite Mathematics (Chapters 3-8, 15), and Calculus (Chapters 9-14). The 14th Edition is enhanced by a design refresh, updated data and applications,and more.

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

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

Answers

Index

Index of Applications

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