R. Algebra Reference
R.1 Polynomials
R.2 Factoring
R.3 Rational Expressions
R.4 Equations
R.5 Inequalities
R.6 Exponents
R.7 Radicals
1. Linear Functions
1.1 Slopes and Equations of Lines
1.2 Linear Functions and Applications
1.3 The Least Squares Line
Chapter 1 Review
Extended Application: Using Extrapolation to Predict Life Expectancy
2. Systems of Linear Equations and Matrices
2.1 Solution of Linear Systems by the Echelon Method
2.2 Solution of Linear Systems by the Gauss-Jordan Method
2.3 Addition and Subtraction of Matrices
2.4 Multiplication of Matrices
2.5 Matrix Inverses
2.6 Input-Output Models
Chapter 2 Review
Extended Application: Contagion
3. Linear Programming: The Graphical Method
3.1 Graphing Linear Inequalities
3.2 Solving Linear Programming Problems Graphically
3.3 Applications of Linear Programming
Chapter 3 Review
Extended Application: Sensitivity Analysis
4. Linear Programming: The Simplex Method
4.1 Slack Variables and the Pivot
4.2 Maximization Problems
4.3 Minimization Problems; Duality
4.4 Nonstandard Problems
Chapter 4 Review
Extended Application: Using Integer Programming in the Stock-Cutting Problem
5. Mathematics of Finance
5.1 Simple and Compound Interest
5.2 Future Value of an Annuity
5.3 Present Value of an Annuity; Amortization
Chapter 5 Review
Extended Application: Time, Money, and Polynomials
6. Logic
6.1 Statements
6.2 Truth Tables and Equivalent Statements
6.3 The Conditional and Circuits
6.4 More on the Conditional
6.5 Analyzing Arguments and Proofs
6.6 Analyzing Arguments with Quantifiers
Chapter 6 Review
Extended Application: Logic Puzzles
7. Sets and Probability
7.1 Sets
7.2 Applications of Venn Diagrams
7.3 Introduction to Probability
7.4 Basic Concepts of Probability
7.5 Conditional Probability; Independent Events
7.6 Bayes' Theorem
Chapter 7 Review
Extended Application: Medical Diagnosis
8. Counting Principles; Further Probability Topics
8.1 The Multiplication Principle; Permutations
8.2 Combinations
8.3 Probability Applications of Counting Principles
8.4 Binomial Probability
8.5 Probability Distributions; Expected Value
Chapter 8 Review
Extended Application: Optimal Inventory for a Service Truck
9. Statistics
9.1 Frequency Distributions; Measures of Central Tendency
9.2 Measures of Variation
9.3 The Normal Distribution
9.4 Normal Approximation to the Binomial Distribution
Chapter 9 Review
Extended Application: Statistics in the Law - The Castaneda Decision
10. Nonlinear Functions
10.1 Properties of Functions
10.2 Quadratic Functions; Translation and Reflection
10.3 Polynomial and Rational Functions
10.4 Exponential Functions
10.5 Logarithmic Functions
10.6 Applications: Growth and Decay; Mathematics of Finance
Chapter 10 Review
Extended Application: Characteristics of the Monkeyface Prickleback
11. The Derivative
11.1 Limits
11.2 Continuity
11.3 Rates of Change
11.4 Definition of the Derivative
11.5 Graphical Differentiation
Chapter 11 Review
Extended Application: A Model for Drugs Administered Intravenously
12. Calculating the Derivative
12.1 Techniques for Finding Derivatives
12.2 Derivatives of Products and Quotients
12.3 The Chain Rule
12.4 Derivatives of Exponential Fun
