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CTE Mathematical Applications for the Management, Life, and Social Sciences with CB VitalSource eBook 11th Edition
Ronald J. Harshbarger | James J. Reynolds
ISBN-13: 9789814780544 | ISBN-10: 9814780545
© 2017 | Published |  864  Pages

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Paperback
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MATHEMATICAL APPLICATIONS FOR THE MANAGEMENT, LIFE, AND SOCIAL SCIENCES, 11th Edition, features a concept-based approach, multiple presentation methods, and interesting and relevant applications that keep readers-future professionals in business, economics, life sciences, and social sciences-engaged in the material. This edition retains the book's real-life context by adding to and updating the substantial number of applications. It also continues the focus on modeling, with modeling problems now clearly labeled in the examples. A brief review of algebra prepares users with different backgrounds for the material in later chapters.



  • 0. ALGEBRAIC CONCEPTS.
    Sets. The Real Numbers. Integral Exponents. Radicals and Rational Exponents. Operations with Algebraic Expressions. Factoring. Algebraic Fractions.
    1. LINEAR EQUATIONS AND FUNCTIONS.
    Solutions of Linear Equations and Inequalities in One Variable. Functions. Linear Functions. Graphs and Graphing Utilities. Solutions of Systems of Linear Equations. Applications of Functions in Business and Economics.
    2. QUADRATIC AND OTHER SPECIAL FUNCTIONS.
    Quadratic Equations. Quadratic Functions: Parabolas. Business Applications Using Quadratics. Special Functions and Their Graphs. Modeling; Fitting Curves to Data with Graphing Utilities (optional).
    3. MATRICES.
    Matrices. Multiplication of Matrices. Gauss-Jordan Elimination: Solving Systems of Equations. Inverse of a Square Matrix; Matrix Equations. Applications of Matrices: Leontief Input-Output Models.
    4. INEQUALITIES AND LINEAR PROGRAMMING.
    Linear Inequalities in Two Variables. Linear Programming: Graphical Methods. The Simplex Method: Maximization. The Simplex Method: Duality and Minimization. The Simplex Method with Mixed Constraints.
    5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
    Exponential Functions. Logarithmic Functions and Their Properties. Equations and Applications with Exponential and Logarithmic Functions.
    6. MATHEMATICS OF FINANCE.
    Simple Interest; Sequences. Compound Interest; Geometric Sequences. Future Values of Annuities. Present Values of Annuities. Loans and Amortization.
    7. INTRODUCTION TO PROBABILITY.
    Probability; Odds. Unions and Intersections of Events: One-Trial Experiments. Conditional Probability: The Product Rule. Probability Trees and Bayes'''' Formula. Counting: Permutations and Combinations. Permutations, Combinations, and Probability. Markov Chains.
    8. FURTHER TOPICS IN PROBABILITY; DATA DESCRIPTION.
    Binomial Probability Experiments. Data Description. Discrete Probability Distributions; The Binomial Distribution. Normal Probability Distribution. The Normal Curve Approximation to the Binomial Distribution.
    9. DERIVATIVES.
    Limits. Continuous Functions; Limits at Infinity. Rates of Change and Derivatives. Derivative Formulas. The Product Rule and the Quotient Rule. The Chain Rule and the Power Rule. Using Derivative Formulas. Higher-Order Derivatives. Applications: Marginals and Derivatives.
    10. APPLICATIONS AND DERIVATIVES.
    Relative Maxima and Minima: Curve Sketching. Concavity: Points of Inflection. Optimization in Business and Economics. Applications of Maxima and Minima. Rational Functions: More Curve Sketching.
    11. DERIVATIVES CONTINUED.
    Derivatives of Logarithmic Functions. Derivatives of Exponential Functions. Implicit Differentiation. Related Rates. Applications in Business and Economics.
    12. INDEFINITE INTEGRALS.
    Indefinite Integrals. The Power Rule. Integrals Involving Exponential and Logarithmic Functions. Applications of the Indefinite Integral in Business and Economics. Differential Equations.
    13. DEFINITE INTEGRALS: TECHNIQUES OF INTEGRATION.
    Area Under a Curve. The Definite Integral: The Fundamental Theorem of Calculus. Area Between Two Curves. Applications of Definite Integrals in Business and Economics. Using Tables of Integrals. Integration by Parts. Improper Integrals and Their Applications. Numerical Integration Methods: The Trapezoidal Rule and Simpson''''s Rule.
    14. FUNCTIONS OF TWO OR MORE VARIABLES.
    Functions of Two or More Variables. Partial Differentiation. Applications of Functions of Two Variables in Business and Economics. Maxima and Minima. Maxima and Minima of Functions Subject to Constraints: Lagrange Multipliers.
    APPENDICES.
    A. Graphing Calculator Guide.
    B. Excel Guide.
    C. Areas Under the Standard Normal Curve.

    • Intuitive Viewpoint: The text is written with an emphasis on concepts and problem solving rather than mathematical theory. Each topic is carefully developed and explained, and examples illustrate the techniques involved.
    • Flexibility: To accommodate alternate teaching approaches, the text offers a great deal of flexibility in the order in which topics may be presented and the degree to which they may be emphasized. Consequently, the book can be adapted to variations in coverage and sequencing of topics at different colleges and universities, depending upon the purpose of the course and the nature of the student audience.
    • Application Previews: Each section begins with an application that motivates the material and references a completely worked Application Preview example that appears later in the section.
    • Applications: Numerous real-life application examples and exercises motivate the material and demonstrate the relevance of each topic.
    • Checkpoints: Checkpoints ask questions and pose problems within each section's discussion, allowing students to check their understanding of the skills and concepts under discussion before they proceed.
    • Comprehensive Exercise Sets: While the overall variety and grading of drill and application exercises offer problems for different skill levels, there are enough challenging problems to stimulate students in thoughtful investigations. Many sets contain critical thinking and thought-provoking multi-step problems that extend students' knowledge and skills.
    • Technology: An icon throughout the text denotes Technology Notes, Calculator Notes, and Spreadsheet Notes. Step-by-step instructions for using the various features of a graphing calculator or Microsoft® Exce®l are included in two appendices.
    • Objective Lists: Every section begins with a brief list of objectives that outline the goals of that section and aid instructors in lesson planning/preparation.
    • New applications have been added on environmental issues and demographics, enhancing the book's real-world relevance and appeal.
    • The real-data application examples, exercises, and Group Projects have been updated or replaced whenever appropriate to keep the material fresh and timely.
    • The Checkpoints, which allow students to check their understanding of the skills and concepts under discussion before they proceed, have been redesigned and relocated to enhance their effectiveness-and new Checkpoints have also been added.
    • More details for using graphing calculators and Excel® have been integrated into the text. Additional guidance appears in two appendices.
    • The Chapter Summaries and Key Terms have been redesigned and now include page references, facilitating study and review.
    • Example solutions have been made more helpful and student-friendly by adding steps where needed and removing excessive detail where possible.
For more information about these supplements, or to obtain them, contact your Learning Consultant

  • Enhanced WebAssign Instant Access for Applied Math, Single-Term Courses
    ISBN-10: 1285857615 | ISBN-13:9781285857619
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    Student Solutions Manual for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences, 11th
    ISBN-10: 130510806X | ISBN-13:9781305108066
    List Price = 87.95
    Student Solutions Manual
    Online Instructor's Solution Manual for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences, 11th
    ISBN-10: 1305108078 | ISBN-13:9781305108073
    List Price = 62.95
    Online Instructor's Solution Manual
    Solution Builder for Harshbarger/Reynolds’ Mathematical Applications for the Management, Life, and Social Sciences, 11th
    ISBN-10: 1305108094 | ISBN-13:9781305108097
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    Excel Guide for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences
    ISBN-10: 130511261X | ISBN-13:9781305112612
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    Excel Guide
    Graphing Calculator Guide for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences, 11th
    ISBN-10: 1305112628 | ISBN-13:9781305112629
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    Online PowerPoint® with Image Library for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences, 11th
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    Online PowerPoint® with Image Library


  • A distinguished professor emeritus of mathematics at the University of South Carolina, Ron Harshbarger has worked with Jim Reynolds on MATHEMATICAL APPLICATIONS since the book's inception. He has taught all levels of mathematics over a 30-year career span, and has authored 30 editions of college mathematics textbooks.

    A professor of mathematics at Clarion University in Pennsylvania, Jim Reynolds has worked with Ron Harshbarger on MATHEMATICAL APPLICATIONS since the book's inception. He has taught for over 30 years, at all levels of undergraduate mathematics.