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
ISBN-13: 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 First-Degree Equations
- 1.7 Quadratic Equations
- Summary and Review
- CASE STUDY 1. Energy Efficiency and Long-Term 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 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
- 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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