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Table of Contents

R. Review of Basic Concepts.

Real Numbers and Their Properties.

Order and Absolute Value.

Polynomials.

Factoring Polynomials.

Rational Expressions.

Rational Exponents.

Radical Expressions.

1. Equations and Inequalities.

Linear Equations.

Applications and Modeling with Linear Equations.

Complex Numbers.

Quadratic Equations.

Applications and Modeling with Quadratic Equations.

Other Types of Equations.

Inequalities.

Absolute Value Equations and Inequalities.

2. Graphs and Functions.

Graphs of Equations.

Functions.

Linear Functions.

Equations of Lines; Curve Fitting.

Graphs of Basic Functions.

Graphing Techniques.

Function Operations and Composition.

3. Polynomial and Rational Functions.

Quadratic Functions and Models.

Synthetic Division.

Zeros of Polynomial Functions.

Polynomial Functions: Graphs, Applications, and Models.

Rational Functions: Graphs, Applications, and Models.

Variation.

4. Exponential and Logarithmic Functions.

Inverse Functions.

Exponential Functions.

Logarithmic Functions.

Evaluating Logarithms and the Change-of-Base Theorem.

Exponential and Logarithmic Equations.

Applications and Models of Exponential Growth and Decay.

5. Systems and Matrices

    Systems of Linear Equations.

     Matrix Solutions of Linear Systems.

     Determinant Solution of Linear Systems.

     Partial Fractions.

     Nonlinear Systems of Equations.

     Systems of Inequalities and Linear Programming.

     Properties of Matrices.

     Matrix Inverses.

Get Essentials of College Algebra, Alternate Edition by Margaret L. Lial, American River College John Hornsby, University of New Orleans David I. Schneider, University of Maryland

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