Mathematics with Applications In the Management, Natural, and Social Sciences, 13th edition
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Overview
Hallmark features of this title
- The Prerequisite Skills Test for Ch. 1 - 4 and Calculus Readiness Test for Ch. 11 - 14 identify any skills gaps. Solutions to the test exercises enable students to remediate.
- Symbolic, numerical, graphical and verbal representations of a topic result in a balanced approach to new material.
- Variety of exercise types: Writing Exercises, Connection Exercises, Graphing Calculator Exercises and Spreadsheet Exercises along with skill-based practice, conceptual and application-based exercises.
- Checkpoint exercises ask students to stop, check their understanding and move forward.
- Technology Tips highlight features of graphing calculator, spreadsheet or other computer programs.
- Chapter case studies show real applications of some of the mathematics presented.
Published by Pearson (July 25th 2023) - Copyright © 2024
ISBN-13: 9780137892365
Subject: Finite Math & Applied Calculus
Category: Finite Math & Applied Calculus (Combined)
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 and Transformations
- 3.3 Applications of Linear Functions
- 3.4 Quadratic Functions and Applications
- 3.5 Polynomial Functions
- 3.6 Rational Functions
- 3.7 Composition of 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. The Mathematics of Personal Finance
- 5.1 Simple and Compound Interest
- 5.2 Annuities, Future Value, and Sinking Funds
- 5.3 Consumer Loans and Amortization
- 5.4 Bonds and Treasury Bills
- 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: Maximizing Profit
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: Logistic 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: 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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