R. Review of Basic Concepts
R-1 Sets
R-2 Real Numbers and Their Properties
R-3 Polynomials
R-4 Factoring Polynomials
R-5 Rational Expressions
R-6 Rational Exponents
R-7 Radical Expressions
1. Equations and Inequalities
1-1 Linear Equations
1-2 Applications and Modeling with Linear Equations
1-3 Complex Numbers
1-4 Quadratic Equations
1-5 Applications and Modeling with Quadratic Equations
1-6 Other Types of Equations and Applications
1-7 Inequalities
1-8 Absolute Value Equations and Inequalities
2. Graphs and Functions
2-1 Rectangular Coordinates and Graphs
2-2 Circles
2-3 Functions
2-4 Linear Functions
2-5 Equations of Lines and Linear Models
2-6 Graphs of Basic Functions
2-7 Graphing Techniques
2-8 Function Operations and Composition
3. Polynomial and Rational Functions
3-1 Quadratic Functions and Models
3-2 Synthetic Division
3-3 Zeros of Polynomial Functions
3-4 Polynomial Functions: Graphs, Applications, and Models
3-5 Rational Functions: Graphs, Applications, and Models
3-6 Variation
4. Inverse, Exponential, and Logarithmic Functions
4-1 Inverse Functions
4-2 Exponential Functions
4-3 Logarithmic Functions
4-4 Evaluating Logarithms and the Change-of-Base Theorem
4-5 Exponential and Logarithmic Equations
4-6 Applications and Models of Exponential Growth and Decay
5. Systems and Matrices
5-1 Systems of Linear Equations
5-2 Matrix Solution of Linear Systems
5-3 Determinant Solution of Linear Systems
5-4 Partial Fractions
5-5 Nonlinear Systems of Equations
5-6 Systems of Inequalities and Linear Programming
5-7 Properties of Matrices
5-8 Matrix Inverses
6. Analytic Geometry
6-1 Parabolas
6-2 Ellipses
6-3 Hyperbolas
6-4 Summary of the Conic Sections
7. Further Topics in Algebra
7-1 Sequences and Series
7-2 Arithmetic Sequences and Series
7-3 Geometric Sequences and Series
7-4 The Binomial Theorem
7-5 Mathematical Induction
7-6 Counting Theory
7-7 Basics of Probability
Glossary
Solutions to Selected Exercises
Answers to Selected Exercises
Index of Applications
