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

Published by Pearson (July 14, 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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Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences helps you “get the idea” in your finite math 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. Over 300 worked examples introduce concepts and demonstrate problem-solving techniques, and abundant applications give students substantial experience in modeling and solving real-world problems. The 14th Edition is enhanced by updated data and applications along with a complete design refresh; its new full-color design and modern look helps you navigate the text and enhances its learning aids.

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
  • 9. Markov Chains
    • 9.1 Properties of Markov Chains
    • 9.2 Regular Markov Chains
    • 9.3 Absorbing Markov Chains
    • Chapter 9 Summary and Review
    • Review Exercises
  • 10. Data Description and Probability Distributions
    • 10.1 Graphing Data
    • 10.2 Measures of Central Tendency
    • 10.3 Measures of Dispersion
    • 10.4 Bernoulli Trials and Binomial Distributions
    • 10.5 Normal Distributions
    • Chapter 10 Summary and Review
    • Review Exercises
  • 11. Games and Decisions (online at goo.gl/6VBjkQ)
    • 11.1 Strictly Determined Games
    • 11.2 Mixed-Strategy Games
    • 11.3 Linear Programming and 2 x 2 Games: A Geometric Approach
    • 11.4 Linear Programming and m x n Games: Simplex Method and the Dual Problem
    • Chapter 11 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

Appendix C: Area under the Standard Normal Curve

Answers

Index

Index of Applications

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