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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 Consumers Often Need to Just Do the Math 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 Architectural Arches 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 Continuous Compounding 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 Matrix Operations and 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 10.4 Normal Distributions and Boxplots 10.5 Normal Approximation to the Binomial Distribution Summary and Review Case Study 10 Standard Deviation as a Measure of Risk Appendices Appendix A: Graphing Calculators Appendix B: Tables Table 1: Formulas from Geometry Table 2: Areas under the Normal Curve Appendix C: Learning Objectives Appendix D: Solutions to Prerequisite Skills Test Answers to Selected Exercises Index of Companies, Products, and Agencies Index of Applications Table of Contents
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