Description
Book SynopsisAbout our authors
The late Marge Lial? was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. Her interest in archeology led to trips to various digs and ruin sites, producing some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.?
The late Thomas W. Hungerford received his Bachelor's degree from Holy Cross and his PhD from the University of Chicago. He taught for many years at the University of Washington (Se
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
- 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
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
