Mathematics with Applications In the Management, Natural, and Social Sciences, 13th edition

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

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Hallmark features of this title

  • The Prerequisite Skills Test for Ch. 1 - 4 and Calculus Readiness Test for Ch. 11 - 14 identify any skills gaps. Solutions to the test exercises enable students to remediate.
  • Symbolic, numerical, graphical and verbal representations of a topic result in a balanced approach to new material.
  • Variety of exercise types: Writing Exercises, Connection Exercises, Graphing Calculator Exercises and Spreadsheet Exercises along with skill-based practice, conceptual and application-based exercises.
  • Checkpoint exercises ask students to stop, check their understanding and move forward.
  • Technology Tips highlight features of graphing calculator, spreadsheet or other computer programs.
  • Chapter case studies show real applications of some of the mathematics presented.

Published by Pearson (July 25th 2023) - Copyright © 2024

ISBN-13: 9780137892365

Subject: Finite Math & Applied Calculus

Category: Finite Math & Applied Calculus (Combined)

Table of contents

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 and Transformations
  • 3.3 Applications of Linear Functions 
  • 3.4 Quadratic Functions and Applications 
  • 3.5 Polynomial Functions 
  • 3.6 Rational Functions 
  • 3.7 Composition of 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: 

5. The Mathematics of Personal Finance 

  • 5.1 Simple and Compound Interest 
  • 5.2 Annuities, Future Value, and Sinking Funds 
  • 5.3 Consumer Loans and Amortization 
  • 5.4 Bonds and Treasury Bills
  • 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: Maximizing Profit 

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: Logistic 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: The Method of Least Squares 


  • 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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