College Algebra

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Edition: 7th
Format: Hardcover
Pub. Date: 2006-01-05
Publisher(s): Brooks Cole
List Price: $249.99

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Summary

This market-leading text continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a one-term course that prepares students for further study in mathematics, the new Seventh Edition retains the features that have always made College Algebra a complete solution for both students and instructors: interesting applications, pedagogically effective design, and innovative technology combined with an abundance of carefully developed examples and exercises. New! Side-by-side Example Solutions for select examples include multiple problem solving approaches--such as algebraic, graphical, and numerical--to appeal to a variety of teaching and learning styles. New! Checkpoints after each Example/Solution refer students to similar problems in the Section Exercises, giving students the opportunity to practice and reinforce the concepts they just learned. Answers to Checkpoint exercises are included at the back of the book. New! Vocabulary Checks open every set of Section Exercises. This review of mathematical terms, formulas, and theorems provides regular assessment and reinforcement of students' understanding of algebraic language and concepts. Exercise Sets have been carefully analyzed and revised to improve the grading of problems from basic skill-building to challenging; the pairing of similar odd- and even-numbered exercises; update all real data; and add real-life and real-data applications. New! Make a Decision applications--presented throughout the text at the end of selected exercise sets--are based on large sets of real data. These extended modeling applications give students the opportunity to use all the mathematical concepts and techniques they've learned and apply them to large sets of real date--analyzing it, graphing it, and making conjectures about its behavior. These applications are featured in Eduspace and the Online Learning Center in an interactive format.Eduspace, powered by Blackboard, Houghton Mifflin's online learning environment, brings your students quality online homework, tutorials, multimedia, and testing that correspond to the College Algebra text. This content is paired with the recognized course management tools of Blackboard. For copyright 2007, two titles have been added to the Larson/Hostetler Precalculus Series: Precalculus with Limits and Precalculus: A Concise Course. These textbooks enhance the scope of the series, making it even more flexible and adaptable to a variety of learning and teaching styles.

Table of Contents

Preliminary Contents
Note: Each chapter concludes with a Chapter Summary, Review Exercises, a Chapter Test, Proofs in Mathematics, and P.S. Problem Solving
Prerequisites
Review of Real Numbers and Their Properties
Exponents and Radicals
Polynomials and Special Products
Factoring Polynomials
Rational Expressions
Errors and the Algebra of Calculus
The Rectangular Coordinate System and Graphs
Equations, Inequalities, and Mathematical Modeling
Graphs of Equations
Linear Equations in One Variable
Modeling with Linear Equations
Quadratic Equations and Applications
Complex Numbers
Other Types of Equations
Linear Inequalities in One Variable
Other Types of Inequalities
Functions and Their Graphs
Linear Equations in Two Variables
Functions
Analyzing Graphs of Functions
A Library of Functions
Transformations of Functions
Combinations of Functions: Composite Functions
Inverse Functions Cumulative Test: Chapters P–2
Polynomial Functions
Quadratic Functions and Models
Polynomial Functions of Higher Degree
Polynomial and Synthetic Division
Zeros of Polynomial Functions
Mathematical Modeling and Variation
Rational Functions and Conics
Rational Functions and Asymptotes
Graphs of Rational Functions
Conics
Translations of Conics
Exponential and Logarithmic Functions
Exponential Functions and Their Graphs
Logarithmic Functions and Their Graphs
Properties of Logarithms
Exponential and Logarithmic Equations
Exponential and Logarithmic Models Cumulative Test: Chapters 3–5
Systems of Equations and Inequalities
Linear and Nonlinear Systems of Equations
Two-Variable Linear Systems
Multivariable Linear Systems
Partial Fractions
Systems of Inequalities
Linear Programming
Matrices and Determinants
Matrices and Systems of Equations
Operations with Matrices
The Inverse of a Square Matrix
The Determinant of a Square Matrix
Applications of Matrices and Determinants
Sequences, Series, and Probability
Sequences and Series
Arithmetic Sequences and Partial Sums
Geometric Sequences and Series
Mathematical Induction
The Binomial Theorem
Counting Principles
Probability Cumulative Test: Chapters 6–8
Appendix
Concepts in Statistics (web)
Representing Data
Measures of Central Tendency and Dispersion
Least Squares Regression Alternative/Expanded Version of Chapter
P (Resource CD and Web)
Operations with Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.1)
Properties of Real Numbers (Pick up from Int. Alg. G&F 3/e Appendix A.2)
Algebraic Expressions (Pick up from Int. Alg. G&F 3/e Section 1.1)
Operations with Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.2)
Factoring Polynomials (Pick up from Int. Alg. G&F 3/e Section 1.3)
Factoring Trinomials (Pick up from Int. Alg. G&F 3/e Section 1.4)
Table of Contents provided by Publisher. All Rights Reserved.

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