Overview

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 course 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.  

Full Product Details

Author:   Margaret Lial ,  Thomas Hungerford ,  John Holcomb ,  Bernadette Mullins
Publisher:   Pearson Education Limited
Imprint:   Pearson Education Limited
Edition:   13th edition
Weight:   0.500kg
ISBN:  

9781292726410

ISBN 10:   1292726415
Pages:   960
Publication Date:   26 July 2023
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   Available To Order  
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Table of Contents

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

Reviews

Author Information

The late  Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets and feature sets. Her interest in archeology led to trips to various digs and ruin sites, producing some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.  The late  Thomas W. Hungerford received his Bachelor's degree from Holy Cross and his PhD from the University of Chicago. He taught for many years at the University of Washington (Seattle) before moving to Cleveland State University in 1980 and then to St. Louis University to in 2003. He wrote a number of research articles in algebra and several in mathematics education. Dr. Hungerford is the author or coauthor of more than a dozen mathematics textbooks, ranging from high school to graduate level, several of which are published by Pearson. He passionately promoted the effective use of technology in mathematics instruction. Dr. Hungerford was also a referee and reviewer for various mathematical journals and served on National Science Foundation panels for selecting grant recipients. John P. Holcomb, Jr. received his Bachelor's degree from St. Bonaventure University and his PhD from the University at Albany, State University of New York. He is professor and chair and frequently publishes with researchers in a variety of disciplines where he provides statistical analysis. Dr. Holcomb has also authored several papers in statistical education and is very active in the American Statistical Association and the Mathematical Association of America. He was named a Carnegie Scholar in 2000 by the Carnegie Foundation for the Advancement of Teaching and Learning and in 2003 received the Waller Award from the American Statistical Association for outstanding teaching of introductory statistics.  Bernadette Mullins received her Bachelor's degree from Western Illinois University and her PhD from the University of Iowa. She is currently professor of mathematics at Birmingham-Southern College (BSC) in Birmingham, Alabama, where she arrived in 2000. She has published numerous articles in the fields of commutative ring theory and mathematics education. She has served as co-investigator for several National Science Foundation grants related to improving mathematics education. Dr. Mullins has won 4 awards for her excellence in teaching, including the Bob Whetstone award at BSC. Throughout her career she has been active in Project NExT (New Experiences in Teaching) and the Mathematical Association of America, and was elected Alabama State Director of the MAA in 2013.

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