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

Published by Pearson (October 7, 2021) © 2019

  • Margaret L. Lial American River College
  • Thomas W. Hungerford Saint Louis University
  • John P. Holcomb Cleveland State University
  • Bernadette Mullins Birmingham Southern College
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Mathematics with Applications in the Management, Natural, and Social Sciences helps you build a a strong mathematical foundation with 4 chapters of algebra coverage before tackling finite mathematics and applied calculus. 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 2-semester or 2-3 quarter courses in Finite Math & Applied Calculus or Mathematics for Business. 

  • Prerequisite Skills Test
  • Calculus Readiness 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

    11. Differential Calculus

    • 11.1 Limits
    • 11.2 One-Sided Limits and Limits Involving Infinity
    • 11.3 Rates of Change
    • 11.4 Tangent Lines and Derivatives
    • 11.5 Techniques for Finding Derivatives
    • 11.6 Derivatives of Products and Quotients
    • 11.7 The Chain Rule
    • 11.8 Derivatives of Exponential and Logarithmic Functions
    • 11.9 Continuity and Differentiability
    • Summary and Review
    • CASE STUDY 11. Price Elasticity of Demand

    12. Applications of the Derivative

    • 12.1 Local Extrema
    • 12.2 The Second Derivative
    • 12.3 Optimization Applications
    • 12.4 Implicit Differentiation
    • 12.5 Related Rates
    • 12.6 Curve Sketching
    • Summary and Review
    • CASE STUDY 12. A Total Cost Model for a Training Program

    13. Integral Calculus

    • 13.1 Antiderivatives
    • 13.2 Integration by Substitution
    • 13.3 Integration by Parts
    • 13.4 Area and the Definite Integral
    • 13.5 The Fundamental Theorem of Calculus
    • 13.6 Applications of Integrals
    • 13.7 Differential Equations
    • Summary and Review
    • CASE STUDY 13. Bounded Population Growth

    14. Multivariate Calculus

    • 14.1 Functions of Several Variables
    • 14.2 Partial Derivatives
    • 14.3 Extrema of Functions of Several Variables
    • 14.4 Lagrange Multipliers
    • Summary and Review
    • CASE STUDY 14. Global Warming and the Method of Least Squares

    APPENDICES

    • A. Areas under the Normal Curve
    • B. Solutions to Prerequisite Skills Test and Calculus Readiness Test
    • C. Table of Integrals

    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
    • Calculus Review

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