College Algebra

by Coburn, John W.

• ISBN13: 9780073305424
• ISBN10: 0073305421
• Edition: 1st
• Format: Hardcover
• Copyright: 2007-04-17
• Publisher: McGraw-Hill Science/Engineering/Math

Summary

This college algebra text is written in a friendly and an easy to understand manner in order to help students understand the concept presented. This feature combined with ample examples, various types of exercises, and well thought out, real-world applications give the student the right tools to succeed. There are specific features and exercise problems to incorporate graphing calculator technology for those interested, however the material is presented in a way so that it may be skipped for those not utilizing technology.

Table of Contents

College Algebra

A Review of Basic Concepts and Skills

The Language, Notation and Numbers of Mathematics

Algebraic Expressions and the Properties of Real Numbers

Exponents, Polynomials and Operations on

Factoring Polynomials

Rational

Radicals and Rational Exponents

Equations and Inequalities

Linear Equations, Formulas and Problem Solving

Linear Inequalities in One Variable with Applications

Solving Polynomial and Other Equations

Complex Numbers

Solving Non-Factorable Quadratic Equations

Functions and Graphs

Rectangular Coordinates and the Graph of a Line

Relations, Functions and Graphs

Linear Functions and Rates of Change

Quadratic and Other Toolbox Functions

Functions and Inequalities – A Graphical View

Regression, Technology and Data Analysis

Operations on Functions and Analyzing Graphs

The Algebra and Composition of Functions

One-to-One and Inverse Functions

Toolbox Functions and Transformations

Graphing General Quadratic Functions

Asymptotes and Simple Rational Functions

Toolbox Applications: Direct and Inverse Variation

Piecewise-Defined Functions

Analyzing the Graph of a Function

Polynomial and Rational Functions

Polynomial Long Division and Synthetic Division

The Remainder and Factor Theorems

The Zeroes of Polynomial Functions

Graphing Polynomial Functions

Graphing Rational Functions

Additional Insights into Rational Functions

Polynomial and Rational Inequalities – An Analytic View

Exponential and Logarithmic Functions

Exponential Functions

Logarithms and Logarithmic Functions

The Exponential Function and Natural Logarithms

Exponential/Logarithmic Equations and Applications

Applications from Business, Finance and Physical Science

Exponential, Logarithmic, and Logistic Regression Models

Systems of Equations and Inequalities

Linear Systems in Two Variables with Applications

Linear Systems in Three Variables with Applications

Systems of Linear Inequalities and Linear Programming

Systems and Absolute Value Equations and Inequalities

Solving Linear Systems Using Matrices and Row Operations

The Algebra of Matrices

Solving Linear Systems Using Matrix Equations

Matrix Applications: Cramer’s Rule, Partial Fractions and More

Conic Sections and Non-Linear Systems

The Circle and the Ellipse

The Hyperbola

Nonlinear Systems of Equations and Inequalities

Foci and the Analytic Ellipse and Hyperbola

The Analytic Parabola

Additional Topics in Algebra

Sequences and Series

Arithmetic Sequences

Geometric Sequences

Mathematical Induction

Counting Techniques

Introduction to Probability

The Binomial Theorem

Table of Contents provided by Publisher. All Rights Reserved.