Mathematics with Applications in the Management, Natural, and Social Sciences, 12th edition
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Overview
Mathematics with Applications in the Management, Natural, and Social Sciences helps you build a a strong mathematical foundation with 4 chapters of algebra coverage before tackling finite mathematics and applied calculus. It motivates through its grounded presentation and real-world applications. The 12th Edition revises and adds new content, applications, learning devices and exercise sets. An abundance of new real-data examples, exercises and applications throughout are noted with a green header that highlights the subject of the problem and ties the content to specific majors. This text is ideal for 2-semester or 2-3 quarter courses in Finite Math & Applied Calculus or Mathematics for Business.
Published by Pearson (October 7th 2021) - Copyright © 2019
ISBN-13: 9780137504381
Subject: Finite Math & Applied Calculus
Category: Finite Math & Applied Calculus (Combined)
Overview
- 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
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
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