Mathematics with Applications in the Management, Natural, and Social Sciences + MyLab Math with Pearson eText

List 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

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

Product details

• Authors: John Holcomb, John P. Holcomb, Thomas Hungerford, Thomas W. Hungerford, Margaret Lial, Margaret L. Lial, Bernadette Mullins
• Publisher: Pearson Academic
• Languages: English
• Product format: Mixed media product
• Released: 28.09.2024
• EAN: 9780134862668
• ISBN: 978-0-13-486266-8
• Dimensions: 226 mm x 284 mm x 36 mm
• Weight: 1950 g
• Subject: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries