Higher Education

College Algebra: Concepts and Models, 5th Edition

  • Ron Larson The Pennsylvania State University, The Behrend College
  • Robert P. Hostetler The Pennsylvania State University, The Behrend College
  • Anne V. Hodgkins Phoenix College
  • ISBN-10: 061849281X  |  ISBN-13: 9780618492817
  • 752 Pages
  • Previous Editions: 2003, 2000, 1996
  • © 2006 | Published
  • College Bookstore Wholesale Price = $239.25

About

Overview

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.

Additional Product Information

Features and Benefits

  • 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 media sources (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.

Table of Contents

Note: Each chapter includes a Mid-Chapter Quiz, Summary, Review Exercises, and Chapter Test.
R1. Fundamental Concepts of Algebra
R1.1 Real Numbers: Order and Absolute Value
R1.2 The Basic Rules of Algebra
R1.3 Integer Exponents
R1.4 Radicals and Rational Exponents
R1.5 Polynomials and Special Products
R1.6 Factoring
R1.7 Fractional Expressions
Make a Decision Project: Musical Notes and Frequencies
R2. Equations and Inequalities
R2.1 Linear Equations
R2.2 Mathematical Modeling
R2.3 Quadratic Equations
R2.4 The Quadratic Formula
R2.5 Other Types of Equations
R2.6 Linear Inequalities
R2.7 Other Types of Inequalities
Make a Decision Project: Salaries in Professional Baseball
Cumulative Test: Chapters R1-R2
1. Functions and Graphs
1.1 Graphs of Equations
1.2 Lines in the Plane
1.3 Linear Modeling and Direct Variation
1.4 Functions
1.5 Graphs of Functions
1.6 Transformations of Functions
1.7 The Algebra of Functions
1.8 Inverse Functions
Make a Decision Project: Demographics
2. Polynomial and Rational Functions
2.1 Quadratic Functions and Models
2.2 Polynomial Functions of Higher Degree
2.3 Polynomial Division
2.4 Real Zeros of Polynomial Functions
2.5 Complex Numbers
2.6 The Fundamental Theorem of Algebra
2.7 Rational Functions
Make a Decision Project: Renewable Energy
3. Exponential and Logarithmic Functions
3.1 Exponential Functions
3.2 Logarithmic Functions
3.3 Properties of Logarithms
3.4 Solving Exponential and Logarithmic Equations
3.5 Exponential and Logarithmic Models
Make a Decision Project: Newton's Law of Cooling
Cumulative Test: Chapters 1-3
4. Systems of Equations and Inequalities
4.1 Solving Linear Systems Using Substitution
4.2 Solving Linear Systems Using Elimination
4.3 Linear Systems in Three or More Variables
4.4 Systems of Inequalities
4.5 Linear Programming
Make a Decision Project: Newspapers
5. Matrices and Determinants
5.1 Matrices and Linear Systems
5.2 Operations with Matrices
5.3 The Inverse of a Square Matrix
5.4 The Determinant of a Square Matrix
5.5 Applications of Matrices and Determinants
Make a Decision Project: Market Share
6. Sequences, Series, and Probability
6.1 Sequences and Summation Notation
6.2 Arithmetic Sequences and Partial Sums
6.3 Geometric Sequences and Series
6.4 The Binomial Theorem
6.5 Counting Principles
6.6 Probability
6.7 Mathematical Induction
Make a Decision Project: The Multiplier Effect
Cumulative Test: Chapters 4-6
Appendices
A. An Introduction to Graphing Utilities
B. Conic Sections
B.1 Conic Sections
B.2 Conic Sections and Translations
C. Further Concepts in Statistics (Available on the web/CD only)
C.1 Data and Linear Modeling
C.2 Measures of Central Tendency and Dispersion

Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

For more information about these supplements, or to obtain them, contact your Learning Consultant.

Instructor Supplements

HM MATHSpace CD-ROM  (ISBN-10: 0618492852 | ISBN-13: 9780618492855)

Can be packaged with every New text purchased from Houghton Mifflin. The HM mathSpace CDs are designed to provide a wealth of learning resources including algorithmically generated exercises to facilitate student practice, skill building, and conceptual understanding. Contents include Algorithmic Exercises, algebra review, and additional textbook appendices.

List Price = $31.95  | College Bookstore Wholesale Price = $24.25

Eduspace Essential Passkey  (ISBN-10: 0618752870 | ISBN-13: 9780618752874)

Your Eduspace Essential Student Passkey will be sent to you digitally via your online purchase receipt and also sent via email.Your passkey is needed in order to access an Eduspace Essential course. Individual passkeys must be purchased for each course enrollment.Eduspace is Houghton Mifflin's online learning tool. It may be required by your instructor to complete online homework and assignments. Eduspace also offers powerful tools and text-specific content that will help you get a better grade.Eduspace Essential courses contain:

List Price = $45.00  | College Bookstore Wholesale Price = $45.00

Annotated Instructor's Edition  (ISBN-10: 0618492828 | ISBN-13: 9780618492824)

Instructor's answers section: answers to all even-numbered exercises, and answers to all Discovery features, Technology features, and Discussing the Concept activities. Also includes annotations at point of use, teaching strategies, suggestions for implementing features, common student errors, and additional examples, exercises, and group activities.

Student Supplements

HM MATHSpace CD-ROM  (ISBN-10: 0618492852 | ISBN-13: 9780618492855)

Can be packaged with every New text purchased from Houghton Mifflin. The HM mathSpace CDs are designed to provide a wealth of learning resources including algorithmically generated exercises to facilitate student practice, skill building, and conceptual understanding. Contents include Algorithmic Exercises, algebra review, and additional textbook appendices.

List Price = $31.95  | College Bookstore Wholesale Price = $24.25

Eduspace Essential Passkey  (ISBN-10: 0618752870 | ISBN-13: 9780618752874)

Your Eduspace Essential Student Passkey will be sent to you digitally via your online purchase receipt and also sent via email.Your passkey is needed in order to access an Eduspace Essential course. Individual passkeys must be purchased for each course enrollment.Eduspace is Houghton Mifflin's online learning tool. It may be required by your instructor to complete online homework and assignments. Eduspace also offers powerful tools and text-specific content that will help you get a better grade.Eduspace Essential courses contain:

List Price = $45.00  | College Bookstore Wholesale Price = $45.00

Meet the Author

Author Bio

Ron Larson

Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2014 William Holmes McGuffey Longevity Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the 2014 Text and Academic Authors Association TEXTY Award for PRECALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.

Robert P. Hostetler

The Pennsylvania State University, The Behrend College Bio: Robert P. Hostetler received his Ph.D. in mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include remedial algebra, calculus, and math education, and his research interests include mathematics education and textbooks.

Anne V. Hodgkins

Anne Hodgkins received her Ed.D. in higher education from Texas A&M University at Commerce in 1990. She has taught at the secondary, community college and university levels. She currently teaches at Phoenix College in Phoenix, Arizona. She especially enjoys teaching intermediate and college algebra as well as calculus. Her interests include math education and research in mathematics teaching strategies.