Rent 9780618492817 | College Algebra : Concepts and Models | Larson, Ron; Hostetler, Robert P.; Hodgkins, Anne V. @knetbooks.com

Summary Table of Contents

"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 wi... MOREthout the introductory review."Make a Decision" features thread through each chapter beginning with the Chapter Opener application, followed by examples and exercises, and ending with the end-of-chapter project. Students are asked to choose which answer fits within the context of a problem, to interpret answers in the context of a problem, to choose an appropriate model for a data set, or to decide whether a current model will continue to be accurate in future years."Chapter Projects" extend applications designed to enhance students understanding of mathematical concepts. Real data is previewed at the beginning of the chapter and then analyzed in detail in the Project at the end of the chapter. Here the student is guided through a set of multi-part exercises using modeling, graphing, and critical thinking skills to analyze the data.Questions involving skills, modeling, writing, critical thinking, problem-solving, applications, and real data sets are included throughout the text. Exercises are presented in a variety of question formats, including free response, true/false, and fill-in the blank.""In the News"" Articles from current mediasources (magazines, newspapers, web sites, etc.) are found in every chapter. Students answer questions that connect the article and the algebra learned in that section. This feature allows students to see the relevancy of what they are learning, and the importance of everyday mathematics."Discussing the Concept" activities end most sections and encourage students to think, reason, and write about algebra. These exercises help synthesize the concepts and methods presented in the section. Instructors can use these problems for individual student work, for collaborative work or for class discussion. In many sections, problems in the exercise sets have been marked with a special icon in the instructor's edition as alternative discussion/collaborative problem."Discovery" activities provide opportunities for the exploration of selected mathematical concepts. Students are encouraged to use techniques such as visualization and modeling to develop their intuitive understanding of theoretical concepts."Eduspace" Houghton Mifflin's online learning tool powered by Blackboard, is a customizable, powerful and interactive platform that provides instructors with text-specific online courses and content.

A Word from the Authors (Preface)

vii

Highlights of Features

Fundamental Concepts of Algebra

Real Numbers: Order and Absolute Value

... MORE

(8)

The Basic Rules of Algebra

(10)

Integer Exponents

(9)

Radicals and Rational Exponents

(11)

Mid-Chapter Quiz

(1)

Polynomials and Special Products

(8)

Factoring

(7)

Fractional Expressions

(15)

Make a Decision Project: Musical Notes and Frequencies

(1)

Summary

(1)

Review Exercises

(3)

Chapter Test

(3)

Equations and Inequalities

Linear Equations

(9)

Mathematical Modeling

(14)

Quadratic Equations

(11)

The Quadratic Formula

104

(11)

Mid-Chapter Quiz

114

(1)

Other Types of Equations

115

(11)

Linear Inequalities

126

(12)

Other Types of Inequalities

138

Make a Decision Project: Salaries in Professional Baseball

148

(1)

Summary

149

(1)

Review Exercises

150

(4)

Chapter Test

154

(1)

Cumulative Test: Chapters R1--R2

155

Functions and Graphs

Graphs of Equations

(14)

Lines in the Plane

(12)

Linear Modeling and Direct Variation

(12)

Functions

(14)

Mid-Chapter Quiz

(1)

Graphs of Functions

(11)

Transformations of Functions

(9)

The Algebra of Functions

(10)

Inverse Functions

(20)

Make a Decision Project: Demographics

(1)

Summary

(1)

Review Exercises

(5)

Chapter Test

101

(3)

Polynomial and Rational Functions

Quadratic Functions and Models

104

(12)

Polynomial Functions of Higher Degree

116

(10)

Polynomial Division

126

(10)

Real Zeros of Polynomial Functions

136

(15)

Mid-Chapter Quiz

150

(1)

Complex Numbers

151

(10)

The Fundamental Theorem of Algebra

161

(8)

Rational Functions

169

(21)

Make a Decision Project: Renewable Energy

181

(1)

Summary

182

(1)

Review Exercises

183

(4)

Chapter Test

187

(3)

Exponential and Logarithmic Functions

Exponential Functions

190

(12)

Logarithmic Functions

202

(10)

Properties of Logarithms

212

(9)

Mid-Chapter Quiz

220

(1)

Solving Exponential and Logarithmic Equations

221

(10)

Exponential and Logarithmic Models

231

(23)

Make a Decision Project: Newton's Law of Cooling

244

(1)

Summary

245

(1)

Review Exercises

246

(4)

Chapter Test

250

(1)

Cumulative Test: Chapters 1--3

251

(3)

Systems of Equations and Inequalities

Solving Systems Using Substitution

254

(10)

Solving Systems Using Elimination

264

(12)

Linear Systems in Three or More Variables

276

(14)

Mid-Chapter Quiz

289

(1)

Systems of Inequalities

290

(10)

Linear Programming

300

(20)

Make a Decision Project: Newspapers

310

(1)

Summary

311

(1)

Review Exercises

312

(5)

Chapter Test

317

(3)

Matrices and Determinants

Matrices and Linear Systems

320

(14)

Operations with Matrices

334

(15)

The Inverse of a Square Matrix

349

(11)

Mid-Chapter Quiz

359

(1)

The Determinant of a Square Matrix

360

(10)

Applications of Matrices and Determinants

370

(18)

Make a Decision Project: Market Share

379

(1)

Summary

380

(1)

Review Exercises

381

(4)

Chapter Test

385

(3)

Sequences, Series, and Probability

Sequences and Summation Notation

388

(10)

Arithmetic Sequences and Partial Sums

398

(9)

Geometric Sequences and Series

407

(10)

The Binomial Theorem

417

(8)

Mid-Chapter Quiz

424

(1)

Counting Principles

425

(10)

Probability

435

(12)

Mathematical Induction

447

Make a Decision Project: The Multiplier Effect

458

(1)

Summary

459

(1)

Review Exercises

460

(4)

Chapter Test

464

(1)

Cumulative Test: Chapters 4--6

465

APPENDICES

Appendix A An Introduction to Graphing Utilities

(7)

Appendix B Conic Sections

Conic Sections

(12)

Conic Sections and Translations

(9)

Appendix C Further Concepts in Statistics (available on the web/CD only)

Data and Linear Modeling

Measures of Central Tendency and Dispersion

Answers to Warm Ups, Odd-Numbered Exercises, Quizzes, and Tests

(70)

Index of Applications

(5)

Index

104

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College Algebra : Concepts and Models

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