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

  • Margaret L. Lial, 
  • Tom Hungerford, 
  • John P. Holcomb, 
  • Bernadette Mullins

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Overview

Finite Mathematics with Applications in the Management, Natural, and Social Sciences helps you build a strong foundation through 4 chapters of algebra coverage before tackling finite mathematics topics. The text offers a grounded presentation and real-world applications to motivate you every step along the way.

Published by Pearson (July 14th 2021) - Copyright © 2019

ISBN-13: 9780137554874

Subject: Finite Math & Applied Calculus

Category: Finite Math

Table of contents

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

Appendix A: Areas under the Normal Curve

Appendix 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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