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

Published by Pearson (July 14, 2021) © 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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Finite Mathematics with Applications in the Management, Natural, and Social Sciences helps you build a strong mathematical foundation with 4 chapters of algebra coverage before tackling finite math, a natural progression from foundational to more advanced topics and from concrete examples to general rules and formulas. It motivates through its grounded presentation and real-world applications. The 12th Edition revises and adds new content, applications, learning devices and exercise sets. An abundance of new real-data examples, exercises and applications throughout are noted with a green header that highlights the subject of the problem and ties the content to specific majors. This text is ideal for 2nd-semester or 2nd- and 3rd-quarter courses covering finite mathematics for students in management or the natural and social sciences.

  • 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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