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Mathematics with Applications In the Management, Natural, and Social Sciences

Mathematics with Applications In the Management, Natural, and Social Sciences

          
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About the Book

For freshman/sophomore, 2-semester or 2–3 quarter courses in Finite Math & Applied Calculus or Mathematics for Business. 


A strong foundation with relevant applications

In Mathematics with Applications in the Management, Natural, and Social Sciences, students build a strong foundation with four chapters of algebra coverage before tackling finite mathematics and applied calculus topics. This natural progression from foundational to more advanced topics and from concrete examples to general rules and formulas is apparent throughout the text. Through its grounded presentation and a plethora of real-world applications, this text is designed to motivate students every step along the way.


The 12th Edition retains its logical progression and focus on real-world problem solving, while revising and adding new content, applications, pedagogical devices, and exercise sets. Improvements in these areas were incorporated after careful consideration and extensive feedback from those who teach the course regularly.


Also available with MyLab Math 

MyLab™ Math is the teaching and learning platform that empowers you to reach every student. By combining trusted authors’ content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. Learn more about MyLab Math.



Table of Contents:
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
    • 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
Appendix A. Areas under the Normal Curve Appendix B. Solutions to Prerequisite Skills Test and Calculus Readiness Test Appendix 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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Product Details
  • ISBN-13: 9780134767628
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Edition: 12 ed
  • Language: English
  • Returnable: N
  • Weight: 1910 gr
  • ISBN-10: 0134767624
  • Publisher Date: 09 Jan 2018
  • Binding: Hardback
  • Height: 277 mm
  • No of Pages: 936
  • Spine Width: 36 mm
  • Width: 218 mm


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