(Each chapter ends with a Summary, Review Exercises, Test, and an Internet Project.)
1. Algebraic Expressions.
Order and Absolute Value.
Polynomials; The Binomial Theorem.
2. Equations and Inequalities.
Linear Applications and Modeling.
Quadratic Applications and Modeling.
Other Types of Equations.
Absolute Value Equations and Inequalities.
3. Relations, Functions, and Graphs.
Equations of Lines; Curve Fitting.
Graphs of Relations and Functions.
General Graphing Techniques.
Operations and Composition.
4. Polynomial and Rational Functions.
Zeros of Polynomial Functions.
Polynomials Functions: Graphs, Applications, and Models.
Rational Functions: Graphs, Applications, and Models.
5. Exponential and Logarithmic Functions.
Evaluating Logarithms and the Change-of-Base Theorem.
Exponential and LogarithmicEquations.
Applications and Models of Exponential Growth and Decay.
6. Systems of Equations and Inequalities.
Matrix Solution of Linear Systems.
Determinant Solution of Linear Systems.
Systems of Inequalities and Linear Programming.
Properties of Matrices.
7. Analytic Geometry.
Summary of the Conic Sections.
8. Further Topics in Algebra.
Arithmetic Sequences and Series.
Geometric Sequences and Series.
The Binomial Theorem Revisited.
Basics of Probability.