Mathematics with Applications in the Management, Natural, and Social Sciences, 12th edition
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Overview
With Mathematics with Applications in the Management, Natural, and Social Sciences, you'll build a strong foundation in algebra before tackling finite mathematics and applied calculus topics. The text progresses naturally from foundational to advanced topics and from concrete examples to general rules and formulas.
Published by Pearson (October 7th 2021)  Copyright © 2019
ISBN13: 9780137504381
Subject: Finite Math & Applied Calculus
Category: Finite Math & Applied Calculus (Combined)
Table of contents
Table of Contents
 Prerequisite Skills Test
 Calculus Readiness Test
 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 FirstDegree Equations
 1.7 Quadratic Equations
 Summary and Review
 CASE STUDY 1. Energy Efficiency and LongTerm Cost Savings
 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
 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
 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
 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
 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
 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
 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
 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
 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
 Differential Calculus
 11.1 Limits
 11.2 OneSided 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
 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
 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
 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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