# College Algebra

### Overview

This text covers all of the standard topics for college algebra. The first four chapters give an introduction to algebra for those students who need it. There is also a cumulative review exercise at the end of Chapter 4.The exercises are a normal lesson apart, and the problems in each exercise are in groups of four similar ones. This makes it a simple matter for even the inexperienced instructor to make a good assignment regularly. Most classes only need to be assigned every fourth problem, but other problems are...
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### Overview

This text covers all of the standard topics for college algebra. The first four chapters give an introduction to algebra for those students who need it. There is also a cumulative review exercise at the end of Chapter 4.The exercises are a normal lesson apart, and the problems in each exercise are in groups of four similar ones. This makes it a simple matter for even the inexperienced instructor to make a good assignment regularly. Most classes only need to be assigned every fourth problem, but other problems are available for practice. There are about 5000 problems in some 75 regular and 12 review exercises. About half of the problems are new, and there are many drill problems which are closely keyed to the examples.Answers are given in the text for three-fourths of the regular and all of the review problems.

### Product Details

(Each chapter ends with a Summary, Review Exercises, Test, and an Internet Project.)
1. Algebraic Expressions.

Real Numbers and Their Properties.
Order and Absolute Value.
Polynomials; The Binomial Theorem.
Factoring Polynomials.
Rational Expressions.
Rational Exponents.

2. Equations and Inequalities.
Linear Equations.
Linear Applications and Modeling.
Complex Numbers.
Other Types of Equations.
Inequalities.
Absolute Value Equations and Inequalities.

3. Relations, Functions, and Graphs.
Relations and the Rectangular Coordinate System; Circles.
Functions.
Linear Functions.
Equations of Lines; Curve Fitting.
Graphs of Relations and Functions.
General Graphing Techniques.
Operations and Composition.

4. Polynomial and Rational Functions.
Synthetic Division.
Zeros of Polynomial Functions.
Polynomials Functions: Graphs, Applications, and Models.
Rational Functions: Graphs, Applications, and Models.
Variation.

5. Exponential and Logarithmic Functions.
Inverse Functions.
Exponential Functions.
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.
Linear Systems of Equations.
Matrix Solution of Linear Systems.
Determinant Solution of Linear Systems.
Partial Fractions.
Nonlinear Systems.
Systems of Inequalities and Linear Programming.
Properties of Matrices.
Matrix Inverses.

7. Analytic Geometry.
Parabolas.
Ellipses.
Hyperbolas.
Summary of the Conic Sections.

8. Further Topics in Algebra.
Sequences and Series.
Arithmetic Sequences and Series.
Geometric Sequences and Series.
The Binomial Theorem Revisited.
Mathematical Induction.
Counting Theory.
Basics of Probability.

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