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

Published by Pearson (July 25, 2023) © 2024

  • 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 is an applications-focused text that helps you build a strong foundation with solid coverage of college algebra, followed by topics in finite mathematics, and finally a careful treatment of applied calculus. It can be used for a variety of courses across many majors, and only a basic background in algebra is required as a prerequisite. Helpful learning features like Checkpoint Exercises give you the opportunity to pause, check your understanding of a concept, and move forward confidently. Case Studies at the end of each chapter offer up-to-date, real-world applications of the mathematics presented in the chapter.

Among many other enhancements, the 13th Edition significantly updates applications and examples to make them as interesting as possible. Throughout, 884 new or updated exercises and 130 new examples modernize the data and exercises.

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: Gapminder.org 

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 

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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