Finite Mathematics with Applications in the Management, Natural, and Social Sciences, 12th edition

Published by Pearson (January 2, 2018) © 2019

  • Margaret L. Lial American River College
  • Tom Hungerford Saint Louis University
  • John P. Holcomb Cleveland State University
  • Bernadette Mullins Birmingham Southern College
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Title overview

For freshman/sophomore, second-semester or second and third quarter courses covering finite mathematics for students in management or the natural and social sciences.


A strong foundation with relevant applications

In Finite Mathematics with Applications in the Management, Natural, and Social Sciences, students build a strong foundation with four chapters of algebra coverage before tackling finite mathematics topics. This natural progression from foundational to more advanced topics and from concrete examples to general rules and formulas is apparent throughout the text. Through its grounded presentation and a plethora of real-world applications, this text is designed to motivate students every step along the way.


The 12th Edition retains its logical progression and focus on real-world problem solving, while revising and adding new content, applications, pedagogical devices, and exercise sets. Improvements in these areas were incorporated after careful consideration and extensive feedback from those who teach the course regularly.


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Table of contents

  • Preface
  • To the Student
  • Prerequisite Skills Test

1. Algebra and Equations

  • 1.1 The Real Numbers
  • 1.2 Polynomials
  • 1.3 Factoring
  • 1.4 Rational Expressions
  • 1.5 Exponents and Radicals
  • 1.6 First-Degree Equations
  • 1.7 Quadratic Equations
  • Summary and Review
  • CASE STUDY 1. Energy Efficiency and Long-Term Cost Savings

2. Graphs, Lines, and Inequalities

  • 2.1 Graphs
  • 2.2 Equations of Lines
  • 2.3 Linear Models
  • 2.4 Linear Inequalities
  • 2.5 Polynomial and Rational Inequalities
  • Summary and Review
  • CASE STUDY 2. Using Extrapolation and Interpolation for Prediction

3. Functions and Graphs

  • 3.1 Functions
  • 3.2 Graphs of Functions
  • 3.3 Applications of Linear Functions
  • 3.4 Quadratic Functions and Applications
  • 3.5 Polynomial Functions
  • 3.6 Rational Functions
  • Summary and Review
  • CASE STUDY 3. Maximizing Profit

4. Exponential and Logarithmic Functions

  • 4.1 Exponential Functions
  • 4.2 Applications of Exponential Functions
  • 4.3 Logarithmic Functions
  • 4.4 Logarithmic and Exponential Equations
  • Summary and Review
  • CASE STUDY 4. Gapminder.org

5. Mathematics of Finance

  • 5.1 Simple Interest and Discount
  • 5.2 Compound Interest
  • 5.3 Annuities, Future Value, and Sinking Funds
  • 5.4 Annuities, Present Value, and Amortization
  • Summary and Review
  • CASE STUDY 5. Investing in Stocks and Using the Rule of 72

6. Systems of Linear Equations and Matrices

  • 6.1 Systems of Two Linear Equations in Two Variables
  • 6.2 Larger Systems of Linear Equations
  • 6.3 Applications of Systems of Linear Equations
  • 6.4 Basic Matrix Operations
  • 6.5 Matrix Products and Inverses
  • 6.6 Applications of Matrices
  • Summary and Review
  • CASE STUDY 6. Airline Route Maps

7. Linear Programming

  • 7.1 Graphing Linear Inequalities in Two Variables
  • 7.2 Linear Programming: The Graphical Method
  • 7.3 Applications of Linear Programming
  • 7.4 The Simplex Method: Maximization
  • 7.5 Maximization Applications
  • 7.6 The Simplex Method: Duality and Minimization
  • 7.7 The Simplex Method: Nonstandard Problems
  • Summary and Review
  • CASE STUDY 7. Cooking with Linear Programming

8. Sets and Probability

  • 8.1 Sets
  • 8.2 Applications of Venn Diagrams and Contingency Tables
  • 8.3 Introduction to Probability
  • 8.4 Basic Concepts of Probability
  • 8.5 Conditional Probability and Independent Events
  • 8.6 Bayes' Formula
  • Summary and Review
  • CASE STUDY 8. Medical Diagnosis

9. Counting, Probability Distributions, and Further Topics in Probability

  • 9.1 Probability Distributions and Expected Value
  • 9.2 The Multiplication Principle, Permutations, and Combinations
  • 9.3 Applications of Counting
  • 9.4 Binomial Probability
  • 9.5 Markov Chains
  • 9.6 Decision Making
  • Summary and Review
  • CASE STUDY 9. Quick Draw® from the New York State Lottery

10. Introduction to Statistics

  • 10.1 Frequency Distributions
  • 10.2 Measures of Center
  • 10.3 Measures of Variation and Boxplots
  • 10.4 Normal Distributions
  • Summary and Review
  • CASE STUDY 10. Standard Deviation as a Measure of Risk

APPENDICES

  • A. Areas under the Normal Curve
  • B. Solutions to Prerequisite Skills Test

Answers to Selected Exercises

Index of Companies, Products, and Agencies

Index of Applications

Subject Index

Photo Credits

Reference Endpapers:

  • Algebra Review
  • Geometric Formulas
  • Finite Math Review

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