College Algebra Concepts and Models

by Larson, Ron; Hostetler, Robert P.; Edwards, Bruce H.

• ISBN13: 9780618220267
• ISBN10: 0618220267
• Edition: 4th
• Format: Hardcover
• Copyright: 2002-06-28
• Publisher: Brooks Cole

Summary

College Algebra: Concepts and Models provides a solid understanding of algebra, using modeling techniques and real-world data applications. The text is effective for students who will continue on in mathematics, as well as for those who will end their mathematics education with college algebra. Instructors may also take advantage of optional discovery and exploration activities that use technology and are integrated throughout the text. A brief version of this text, College Algebra: A Concise Course, provides a shorter version of the text without the introductory review.

Table of Contents

Note: Each chapter includes a Mid-Chapter Quiz

Summary

Review Exercises, and Chapter Test

Fundamental Concepts of Algebra

Real Numbers: Order and Absolute Value

The Basic Rules of Algebra

Integer Exponents

Radicals and Rational Exponents

Polynomials and Special Products

Factoring

Fractional Expressions Make a Decision Project: Musical Notes and Frequencies

Equations and Inequalities

Linear Equations

Mathematical Modeling

Quadratic Equations

The Quadratic Formula

Other Types of Equations

Linear Inequalities

Other Types of Inequalities Make a Decision Project: Salaries in Professional Baseball Cumulative Test: Chapters R1–R2

Functions and Graphs

Graphs of Equations

Lines in the Plane

Linear Modeling and Direct Variation

Functions

Graphs of Functions

Transformations of Functions

The Algebra of Functions

Inverse Functions Make a Decision Project: Demographics

Polynomial and Rational Functions

Quadratic Functions and Models

Polynomial Functions of Higher Degree

Polynomial Division

Real Zeros of Polynomial Functions

Complex Numbers

The Fundamental Theorem of Algebra

Rational Functions Make a Decision Project: Renewable Energy

Exponential and Logarithmic Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithms

Solving Exponential and Logarithmic Equations

Exponential and Logarithmic Models Make a Decision Project: Newton's Law of Cooling Cumulative Test: Chapters 1–3

Systems of Equations and Inequalities

Solving Linear Systems Using Substitution

Solving Linear Systems Using Elimination

Linear Systems in Three or More Variables

Systems of Inequalities

Linear Programming Make a Decision Project: Newspapers

Matrices and Determinants

Matrices and Linear Systems

Operations with Matrices

The Inverse of a Square Matrix

The Determinant of a Square Matrix

Applications of Matrices and Determinants Make a Decision Project: Market Share

Sequences, Series, and Probability

Sequences and Summation Notation

Arithmetic Sequences and Partial Sums

Geometric Sequences and Series

The Binomial Theorem

Counting Principles

Probability

Mathematical Induction Make a Decision Project: The Multiplier Effect Cumulative Test: Chapters 4–6

An Introduction to Graphing Utilities

Conic Sections

Conic Sections

Conic Sections and Translations

Further Concepts in Statistics (Available on the web/CD only)

Data and Linear Modeling

Measures of Central Tendency and Dispersion

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